diff --git "a/data/dm_maths/full_data_1/10781_11255.jsonl" "b/data/dm_maths/full_data_1/10781_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10781_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b be 36\/(-14) - (-4 - -2). What is the third smallest value in 2\/11, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**4 - 6733*c**3*q**2 + 4*c**3 + 4*c*q**2 - 3*c*q + 2*c - 1484 wrt c?\nAnswer: 72*c**2 - 40398*c*q**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 65*6295\nAnswer: 409175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 3*i**5\/20 + 2*i**3 - 26*i - 58. Let g(w) be the first derivative of o(w). Find the second derivative of g(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2433 is divided by 1118?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(-9*(-11)\/(-1485)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -7*v**6\/720 + v**5\/120 + 99*v**4\/4 - 245*v. Let n(f) be the third derivative of x(f). Calculate n(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 1. Let k(x) = x**2 - 11*x - 2. What is 3*k(q) - 8*t(q)?\nAnswer: 3*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/(2859\/(-9530)). Factor 0*m - 56\/3*m**2 - 64\/3*m**3 - 2\/3*m**d - 22\/3*m**4 + 0.\nAnswer: -2*m**2*(m + 2)**2*(m + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*m**3 + 15*m**3 + 1843*m**2 - 46*m**3 - 45*m**3 wrt m.\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n + 3*b + 5, -5 = b. Suppose -n*z = 39 - 145. Calculate the remainder when z is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7980053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Find the common denominator of 1\/3 and 74\/26528061.\nAnswer: 26528061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkkkkikkpikikic. Give prob of picking 2 p.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 286.04646 - -413.95851. Let y = -700 + o. What is y rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 + 2*f. Suppose 2*r - 3*r - 6 = 0. Let h be d(r). Suppose -5*j - 4*q + 612 = -q, h = j + 3*q. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1. Let w = 9 + -14. Let i(g) = 76*g - 219*g + 69*g + 80*g - 5. Determine w*l(n) + i(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x - 1. Let w(m) = m. Let j be w(1). Let s be a(j). Suppose 4*n + s = n. Are n and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 99690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 130 = -235 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19628.31 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-30))**(3\/11)\/(y\/(y**(-23)*y))**14)**(-2) assuming y is positive.\nAnswer: y**(7264\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1563 + 106.2763. Let h = y - 107. Let c = h + 0.81. What is the third smallest value in c, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1587838.\nAnswer: 2, 7, 113417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30038027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10196282\/3801 - -18777\/7. Find the common denominator of n and -28\/195.\nAnswer: 35295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) + (-34)\/(-6). Suppose -3*d + 8*d - k = 0. Suppose 4*w - d = -v + 24, 35 = 2*v + 5*w. Which is the smallest value? (a) v (b) 2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 143. Which is the biggest value? (a) i (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(30)*4 - sqrt(30))\/sqrt(10)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -730 + 733. Which is the closest to 0.1? (a) 1\/4 (b) -1 (c) x (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0183501 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. What is the tens digit of (6\/8)\/(k\/132)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255053 (base 6) in base 15?\nAnswer: 6cd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62198651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*n - 28 = -0*n, -4*d - 3*n + 4 = 0. Let f(w) = 7*w + d - 10 + 6. Let r(b) = 2*b**2. What is r(f(z))?\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97438 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alla. What is prob of sequence aal?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 2*u. Let c be s(-3). Suppose 0 = -c*x + 86 + 31. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.0315 + -0.0315. Which is the smallest value? (a) y (b) 9 (c) 1\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 + -157. Calculate the remainder when 124 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9231*l - 8. Let x(c) = 3076*c + 3. What is -3*n(y) - 8*x(y)?\nAnswer: 3085*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607 (base 12) in base 6?\nAnswer: 44011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 5:50 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 2, 3\/2, 0.05, 32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 11, u: 5, l: 3}. Give prob of sequence gyuy.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1208*s - 101376 = 362*s - 162*s for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 275\/6*x + 700\/3 - 1\/6*x**2.\nAnswer: -(x - 280)*(x + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8) - 6\/(-9). Let f(p) = -p**3 + 4*p**2 + 6*p - 3. Let j be f(5). Let n be 0 - (j\/(-1) + 3). Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 263 + -4?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83.93 + 75.964. Let d = -7.2 + -0.8. Let i = g - d. Round i to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r - 13. Let s be m(-4). Find the second derivative of -2*w**3 - 7*w**5 + s*w - 45*w + 2*w**3 wrt w.\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 71*w**2 + 31*w + 142. Let s be o(35). Solve m + 4*m - s*d - 5 = 0, -2*d = 4*m + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1791 times 6?\nAnswer: -10746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:33 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*v**2 + v**4 - 419*v**3 - 94*v**3 + 9*v**2 - 79*v**3 + 111*v**3 - 1 in the form z + n*v**3 + k*v**2 + x*v + w*v**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11115? (a) 1\/7 (b) 1 (c) -2\/21 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48899471 is divided by 3554?\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1.04, -30, -33, 2, -1\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Suppose -5*k = -p + 32, -14*p + 4*k = -9*p - 55. Solve p*u - 3*u - 20 = b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23017295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567*h - 109739 = -9451 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73.378 + 5.568. Let l = u - -67. Let k = l + 0.8133. Round k to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 541*c**3 - c**2 + 3*c - 2. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 12:45 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/171 and -89\/9405.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 + 1.9. Let a = -3\/10 + -11\/30. What is the third smallest value in a, -3\/2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65.7556916*-3\nAnswer: -197.2670748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*v = 297*v + 18516. What are the prime factors of v?\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i - 1397 = -1628 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*g**2 + 1013*g**2 + 1671*g**2.\nAnswer: 2992*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(-2 + 0 - 4)*(0*j**2 + 0*j**2 - 2*j**2) to the form q + p*j + u*j**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28684.\nAnswer: 2, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0051 - 0.25255. What is x rounded to 3 decimal places?\nAnswer: -0.247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 13*m**2 - 4*m - 11. Calculate d(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -14 - 3) + 2 + -1 + -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-5))\/(6\/60). Let i(n) = n**3 + 3*n**2 - 4*n. Let z be i(4). Suppose -2*l = 2*l - z. What is the highest common divisor of s and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a week in hours?\nAnswer: 2562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00445442531 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-44)*-94 + (-85)\/(-55) + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9137773?\nAnswer: 101, 90473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18228334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 190*s**2 - 6560*s - 537906. Let m(h) = 41*h**2 - 1312*h - 107581. Let g(o) = -14*m(o) + 3*z(o). Factor g(l).\nAnswer: -4*(l + 164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 5*w = -2*f - 10, 3*w + 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -94?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-304)\/(-10) - (-32)\/(-80)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a*s**3 - 3859065*a - 66444*s**3 - s**2 with respect to s.\nAnswer: -42*a*s**2 - 199332*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111210020 (base 3) to base 14.\nAnswer: -393c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 4) to base 2.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4772989 and 5710.\nAnswer: 47729890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 48*n**2 - 25 + 25 + 2*n + 4*n to f*n + a*n**2 + u and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(1134) + sqrt(1134) + sqrt(1134))\/(sqrt(700)*-1*1))**2.\nAnswer: 1458\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 4*o**2 + 3*o. Suppose 17 = -k + 4*s, 10*k - 8*k = -3*s + 21. Suppose k*m = -15*m + 54. Give b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = -20*r - r + 223020. List the prime factors of r.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 + h + 1. Let v be n(0). Suppose 4*x = -2*x + 24. Put v, -3, x in increasing order.\nAnswer: -3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 238*b**3\/3 + 5*b**2 - 29. What is the second derivative of p(x) wrt x?\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-52)\/91)\/(2\/(-140)). Solve -v + 12 = 7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/6 and 23\/15304192?\nAnswer: 45912576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 - 576*x - 13749. Calculate o(-28).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 15 = -f, -86*s + 6 = -84*s + 7*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196*g**6 + 34*g**2 + 3 wrt g.\nAnswer: -23520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, -2\/3, -3 in descending order.\nAnswer: 2\/7, -2\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883342659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 280*k**4 + 300*k**4 + 355*k**4)*(-k + 0*k - k)*(-2 + 0 + 3).\nAnswer: -1870*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15829 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1065687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 1, -4*n = -k - 13. Suppose -n*j + 4*r = -6, -5*j + 1 = -2*r - 9. Suppose -h = j*h. Solve -8 = -h*q - 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(242)*-2 - sqrt(242)) + -1 + 2 - (sqrt(242) + 1)*2*2))**2.\nAnswer: 1848*sqrt(2) + 47468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270 is divided by 126.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 434 - 139. Suppose d - 1773 = -3*w, -d = -0*w - 5*w + 2947. Calculate the highest common factor of w and q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300178 to the power of 1\/2, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqnf when four letters picked without replacement from {f: 3, g: 3, q: 4, n: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2\/(-16)*-8. Suppose c*z - 44 = -0*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5030 is divided by 985?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236368 and 49808.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 594\/(-26) + (-4)\/26. Let w = i - -33. Find the second derivative of -w*a**5 + 8*a**5 + 0*a + 15*a wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-736)\/64 + (2 + 0 - -10))*40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 11*q + 4. Let g(w) = -11*w - 5. Give 4*g(k) + 5*o(k).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1360 + 4?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 4. Give s(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031775 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 + 79. Is p a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f = -105 - 336 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3\/5 + 504192*o**2\/5 - 3529473*o\/5 + 3025278\/5 = 0. What is o?\nAnswer: -168071, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 - 3*x**2 - 3*x + 2*x**3 + 6*x**2 - x**2 to the form z*x**2 + m*x + l + r*x**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 534387368 to the power of 1\/3, to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = 5*s - 85, -n - 3*s + 9 = 0. Let y be 29 - 12*286\/156. Calculate the greatest common divisor of n and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*c + 104*c - 56 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 865399129 to the power of 1\/3, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 + 97919025*g**2 + 799011239119704*g - 799011337038732 = 0. What is g?\nAnswer: -16319838, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:27 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4\/5, -2\/17, 2, -18\/13 in ascending order.\nAnswer: -18\/13, -2\/17, 0.6, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3 - 398*j + 414*j + 1. Give k(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmw when three letters picked without replacement from {w: 9, m: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93, -393, -915, -1665, -2649, -3873?\n\"Answer: -i**3 - 105*i**2 + 22*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/89)\/c*(c*c\/(c*c\/(c*c**(8\/3)*c*c)))\/c*(c**(-6))**35 assuming c is positive.\nAnswer: c**(-55097\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37687129 or 37687126?\nAnswer: 37687129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -219, -254, -285, -306, -311?\n\"Answer: n**3 - 4*n**2 - 30*n - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -174461*p + 191228 with respect to p.\nAnswer: -174461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than 691?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 22*s**2 + 827*s - 12. Calculate f(-38).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:58 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394859 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzvaac. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 = -51*d + 723 + 699 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*n + 6, 0*y + 4*n + 12 = 4*y. Suppose 0*o + 5*o - 2425 = -2*i, y = -3*o + 2*i + 1471. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 7b?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -700*n**5 + 101516*n**4\/5 - 945464*n**3\/5 + 490864*n**2 + 697760*n - 3200 = 0.\nAnswer: -1, 4\/875, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 23*o**2 + 14*o - 2. Suppose 10*a - 675 = -85*a - 130*a. Let p(z) = 8*z**2 + 5*z - 1. Calculate a*d(w) - 8*p(w).\nAnswer: 5*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -35*b + 38*b. Solve s - 16 = 3*x, -12 - 17 = -b*s + 5*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-160)*-2*(-2 + 0)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-20) - 6\/(-24). Which is the closest to -1\/2? (a) h (b) 3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 - 8*o - 7*o - 9*o**2 + 15*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*s + 140 = -9*s, 2*v - 28 = -5*s. What is the smallest common multiple of 2 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325932 divided by -5\nAnswer: 325932\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 2868 - 2868.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3\/4 (b) -1\/10 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 2:40 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -253062 (base 7) in base 10?\nAnswer: -46692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 5. Let a(o) = o**2 - 3. Let s(r) = -10*a(r) + 6*h(r). Let y = 29 - 21. Let v(p) = y*p + 5*p + 23*p - 4*p. Calculate s(v(g)).\nAnswer: 2048*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176066 + -2.\nAnswer: 176064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 389 - 19. Which is smaller: 58 or g?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*a + 4*a + 2103 - 2038 + (-2*a - 2*a + 2*a)*(0 - 2 + 3) in the form u + o*a and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/42)\/(4\/28)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(-6\/13))**(1\/56)*(l**(-6)*l**(-3\/5))\/(l**(1\/2)*l**4*l) assuming l is positive.\nAnswer: l**(-5504\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12728*i**3 + i**4 - 12728*i**3 - 288*i)*(-i - 4*i + 4*i).\nAnswer: -i**5 + 288*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + x + 12, 2*k + x = -0*k + 8. Let d = 0 + 5. Solve -1 = k*w - d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046624390.\nAnswer: 2, 5, 7, 53, 79, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -206?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1318174.4462 rounded to the nearest 10?\nAnswer: -1318170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83*o - 78*o + 115*o)*(814 - 659 - 499) in the form i*o + v and give i.\nAnswer: 15824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -99135*y - 892226. Determine q(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from eoeooeoooo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1003303130 (base 4) to base 16\nAnswer: -43cdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**7\/168 - m**6\/30 - m**5\/16 - m**4\/24 + 5*m. Factor x(a).\nAnswer: -a**2*(a + 1)**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66\/173221 at most as big as -3\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -961.57 and -2\/39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -43*h + 34. Suppose -10*s = -16*s - 42. Does 40 divide k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130226938?\nAnswer: 2, 443, 146983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -3*d - 24. What is the least common multiple of d and 168?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.04 - 1.03. Which is the biggest value? (a) -0.2 (b) -1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113111 (base 5) to base 13.\nAnswer: -1b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23788.\nAnswer: 2, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19247, 38493, 57741, 76991, 96243, 115497?\n\"Answer: j**2 + 19243*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from {o: 2, q: 9, r: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 1. Let w be s(1). Let x be -1 - (5 + -2 + w). Let y = -6 + 5. Sort y, x, -0.1 in descending order.\nAnswer: -0.1, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -0.297 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/3, 45, -24 in decreasing order.\nAnswer: 45, 0.2, -2\/3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9940*c - 1413 with respect to c.\nAnswer: -9940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112200110 + 221111?\nAnswer: 120121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*t = -157*t - 160*t - 3381. What is the lowest common multiple of 12 and t?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2225.727 centuries to millennia.\nAnswer: 222.5727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -40, 2, 8 in increasing order.\nAnswer: -40, -1\/4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d - 5. Let u(p) = -p**2 + 4. Give 3*u(g) + 2*x(g).\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332786 (base 9) in base 5?\nAnswer: 22331213","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 8 = 10*m. Find the third derivative of 2*t**2 + 2*t**2 + 3*t**5 - m*t**2 - t**2 wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1514, -1520, -1546, -1598, -1682?\n\"Answer: -y**3 - 4*y**2 + 13*y - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -34*h**3 + h**2. Calculate the remainder when c(-1) is divided by (4\/(-6))\/(2\/(-36)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(17) + 0 + sqrt(17))*3)**2*6 - (sqrt(119) - -2*(sqrt(119)*-1 + sqrt(119) + sqrt(119)))\/(sqrt(7) + 5*sqrt(49)\/sqrt(7)).\nAnswer: -sqrt(17)\/2 + 58752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 8*j - 264. What is the remainder when j is divided by (-6)\/8*-2*12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*g + 846 = -0*g, -5*d + 1070 = 5*g. Suppose -f + 56 + d = 0. Suppose -5*v + 25 = -m - 5, 5*m - 2*v = -f. Do -55 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (604981 - 1) + 18 + -22. Suppose 8 = -2*a, 3*p + 190968 = 2*a + b. What is p rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 133, 199, 265, 331, 397?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.02 (b) -65.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/720 + 35*f**5\/72 + 989*f**4\/18 + 1849*f**3\/3 + 316*f**2 - 3*f. Suppose c(u) = 0. What is u?\nAnswer: -86, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7536.34 millilitres in litres?\nAnswer: 7.53634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 + 87*t**2 - 2640*t + 14700 = 0. Calculate t.\nAnswer: -49, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3 + 6796*l**2 + 46498714*l - 46505508 = 0.\nAnswer: -3414, 1, 6811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 20869*q**3 + 79829595*q**2 + 112130591159*q + 53949640235624.\nAnswer: (q + 1487)**3*(q + 16408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**2 + 2*r**3 + 2*r**3 - 2 - 2*r + 4*r**3 - 9*r**3. Calculate s(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -9\/5 (c) 2 (d) -0.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-8) + 20\/16. Suppose 0 = j*k - 3*k + 4. Suppose k = i, 0*g - 28 = -4*g - i. What is the least common multiple of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*q - 170, 0*g + q = -2*g + 182. Suppose -30 = -2*v - y + g, -4*y + 108 = 2*v. Let c = v + 19. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*d - 2358 = -160*d - 327*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202111 - 10?\nAnswer: -202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/(-28))\/(40\/(-128)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169324.46406 rounded to the nearest one thousand?\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0)\/(9\/(1035\/(-10))). Suppose -3*z = -4*x + n, 3*x = x + z + 9. Suppose -3*c = 3*t - 372, x*c - 2*t + 371 = 5*c. What are the prime factors of c?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 250*l. Let i(r) = 8*r. Give s(i(c)).\nAnswer: -128*c**2 + 2000*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/4 and -36\/7283.\nAnswer: 29132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 - 593700*j - 121281264 = 0 for j.\nAnswer: -204, 148629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-110)\/(-11)*(-4)\/8. What is the nearest to -2 in 0.5, 5\/3, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6121 rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 657 = 3*y. Is 38 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*d + 194236, -265*x = -264*x - 3*d - 48575. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((144\/252)\/(2\/7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000120688466 rounded to seven decimal places?\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(1\/7)*d)*d**(4\/9))\/((d*d**(-5))\/d**(1\/14))*(d**(-2\/7))**12*(d\/(d*d\/(d\/d**7)))\/(d*d**8*d) assuming d is positive.\nAnswer: d**(-289\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144531*o*u**2 + o + 25762*u wrt u.\nAnswer: -289062*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1256 and 427982?\nAnswer: 1711928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -23*v - 10*v + 11*v + 76, v + 5 = 3*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 13, 20424 in decreasing order.\nAnswer: 20424, 81, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 + 3*c**3 - 25*c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1323 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27803 (base 12) to base 4.\nAnswer: 31113003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o**3\/o*o)\/((o*o*o**7\/o)\/((o\/((o**(-3\/4)*o)\/o))\/o)))**(-34) assuming o is positive.\nAnswer: o**(697\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (-2 + -1 - ((-48 - 0) + 50)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 49 + -54 + (3 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052229666?\nAnswer: 2, 3, 103, 1702637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 1. Let t(i) = 2*i**2 + 14*i - 28. Let l(r) = t(r) - u(r). Let h be l(-16). Solve 0 - 5 = h*o, -2*j - 2*o = -6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/132 - -49\/66. Put -1, v, -2, -0.5 in descending order.\nAnswer: v, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**3 + 509*n**2 + 518*n**2 - 7*n**3 - 1010*n**2 - 12*n**3.\nAnswer: 4*n**3 + 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.223, -1.\nAnswer: -1, 0.1, 0.223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/62, -5, 1 in descending order.\nAnswer: 1, 1\/62, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-6 + (-6)\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 + 82. Let f = -61 - l. Let m(j) = j**3 + 2*j**2 - j + 3. Give m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*1\/(-2))\/1. Sort 0, 0.2, d in ascending order.\nAnswer: d, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l + 13. Suppose -5*x = g - 8*x + 1, 4*x - 6 = 2*g. Let d be u(g). Differentiate -5*s**3 - 13 + 27*s + d*s - 54*s wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqkkjekfkteq. What is prob of picking 1 t and 2 e?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14611 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 - -26. Let h be (-2578)\/(-18) + 14*(-13)\/819. Let x = h - l. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/11 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 178, 410, 746, 1192, 1754?\n\"Answer: f**3 + 43*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -5*r**2\/2 - 3*r - 3. Determine v(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24376, 24374, 24372?\n\"Answer: -2*f + 24378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, -3, 2, 4, 17, 3 in decreasing order.\nAnswer: 305, 17, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 52*m + 43*m - 95*m - 7*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/1)\/(3\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 2434 - 1396 = 1502 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04114 minus 1.8959167?\nAnswer: -1.8547767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + 0 + sqrt(720) + -5) + (((sqrt(720) - (1 + sqrt(720))) + 4 - -6*(sqrt(720)*1 + sqrt(720) - sqrt(720))) + -3)**2.\nAnswer: -36*sqrt(5) + 25938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-30)\/(m*m**6))\/((m**(-5\/8)*m)\/(m*m**(-34))) assuming m is positive.\nAnswer: m**(-563\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 23*a**2 - a + 29. Let y be h(23). Suppose -3*f + y*f + 13 = -2*k, 0 = 5*k - 5. Sort f, 3, -1, 2 in decreasing order.\nAnswer: 3, 2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/16*-4)\/(2\/16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -0.21\nAnswer: -0.0441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + 5*v**4 - 2*v**4)*(-1 + 1 + 2*v) + 3*v**5 - 9*v**5 - 13*v**5.\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 152548446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2011 + 2014. Solve t*m - 18 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2861042*d = -2861529*d + 46752 for d.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*140171499\nAnswer: -560685996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 34*x + 272. Give a(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 1 - 1)*(7*n**3 - 2*n**3 - 3*n**3) - 540 + 540 - 5*n**4 - 2*n**3 + n.\nAnswer: -9*n**4 - 2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 4, 3 in decreasing order.\nAnswer: 4, 3, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7358161703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1475.42 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(7) - 2*sqrt(98).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.9, 4, -6, -1, 188, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175545 and 2961.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -461 + 212. Let l = -37 - r. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 38 = -134. Let t be 1*(-2 + j\/18). Which is the second smallest value? (a) t (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/121438 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*x + 354339 - 354331, 0 = 4*d + x - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3346 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:20 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 12106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/176251738 and -149\/5574?\nAnswer: 528755214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 73.90461um?\nAnswer: 0.00007390461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/15 - (-367840)\/400 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1619*x**3 - 889*x**3 - 824*x**3.\nAnswer: -94*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnb when three letters picked without replacement from {o: 1, n: 2, u: 4, b: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252175110 rounded to the nearest one hundred thousand?\nAnswer: -3252200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*g + 40372622 + 30511658 - 19440231 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 416\/(-14). Let z = -9585 + 9588. What is the highest common factor of r and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 2*a + 454 = 49*b + 710, -3*b + a = -4*a + 262 for b.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34599*a - 34599*a - 6*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 195261420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*y**4 - 85*y**2 wrt y.\nAnswer: -360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:06 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 353.\nAnswer: 105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 624947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 1 + 34*b**3 - 33*b**3 + 7*b - 2 + (-3*b**3 + 3*b**3 - 2*b**3)*(2 - 3 + 0).\nAnswer: 3*b**3 + 2*b**2 + 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 2*f - 4. Let z be k(0). Let h(q) = 11*q + 85. Is h(z) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 0*l - 3*l + 5*l. Suppose -920*q = i - 919*q - 7, q = -3*i + 11. Calculate m(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127791366 rounded to the nearest one hundred thousand?\nAnswer: -1127800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*c = -115, -2*f + 343 = 20*c + 297 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4038 + 4063. What is the least common multiple of 415 and i?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/2 + 5*g**2\/2 + 3*g. Let b be i(-5). Factor -6*v**4 + 6*v**5 - 3*v**3 - 6*v**2 + 9*v**3 + b*v**4 - 4*v.\nAnswer: 2*v*(v + 1)**3*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -797+-2.1\nAnswer: -799.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i*i\/((i**(-1)\/i)\/i))\/i)\/i)*i)**(-48)\/((i*i**12)\/(i\/i**11)) assuming i is positive.\nAnswer: i**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 988773889 to the power of 1\/2, to the nearest integer?\nAnswer: 31445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (457 - 97 - 189)*(-4*n + 4*n - 2*n - 3*n - 3*n + 4*n + (4*n - 5*n + 0*n)*(2 - 3 - 1) - 3*n + 0*n + 2*n + n + 2*n - n).\nAnswer: -171*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*m**2 - 3*m - 29\/10.\nAnswer: -(m + 1)*(m + 29)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3818*j + 11581*j - 3600*j + 24192 = 3785*j for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/245*-7)\/(36\/63).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -992 + 268. Let t = 116 - k. Is t a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v - 2. Give n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 3*k + 2*k)*(0*k**2 - k**4 + 0*k**2 + k**2 + k**4 - k**2 + (-4*k**3 - 4*k**3 + 5*k**3)*(3 - 3 - k)).\nAnswer: -15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7 + 3 = 0. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/(k**(3\/5)*k))**(2\/13)*((k\/(k\/k**8))\/(k**(2\/7)\/k))\/((k\/k**(-3\/10))\/(k*k**(-2\/7))) assuming k is positive.\nAnswer: k**(6053\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 3 (c) 1295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - 2*l**2 + l**2)*(3 + 3*l - 3) - 2*l**3 + 6*l**3 - 2*l**3 + 2572*l**2 - 2572*l**2 - 835*l**3 as a*l**2 + z*l**3 + r + b*l and give z.\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*t = -673, -4*t + 1440 = -p + 1731. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((478\/(-2868))\/(29\/9))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Suppose g*p - 10 = -2*p. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/((-7)\/7).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/2)\/(2\/(-8)). Suppose -3*v - 463 = -5*u, 3*u + 14*v - 17*v - 279 = 0. Let n = u + s. Calculate the highest common divisor of 114 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -619277709417 + -0.4?\nAnswer: -619277709417.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.59514 rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/(-5)*(-2 - -1). Let a = 2 - o. Let n = -7 - -10. Solve n*u + a = -0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684801079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -7. Let m = -5 + k. Suppose 3*a + 2*g = -0*g + 28, 22 = m*a - 5*g. Solve 3*x + a = 4*h, 4*h + 5*x + 7 = 47 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 6 + 4*i**2 - 22*i**2 + 1 + 7*i**2.\nAnswer: -2*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6616 + 1178 = -9*s. Let f = -829 - s. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 15*y + 7 = -0*y, 1022*w - 1018*w = 2*y - 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203358.\nAnswer: 2, 3, 33893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Suppose -d*g + 6*g = 10. Suppose 0*v + 15 = g*v, 0 = m - v - 120. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)\/1 + -7. Let r = -9 - -9. Which is the second smallest value? (a) r (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/55188 and -22\/19648461?\nAnswer: 707344596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37387993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -432, -647, -860?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(-2 + sqrt(468) + sqrt(468)) + 3 + (sqrt(1300) - (0 + sqrt(1300))*-2))**2.\nAnswer: -16236*sqrt(13) + 787797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405457535 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19492 rounded to the nearest one hundred?\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 - -0.27. Let m = 0.92 + 0.08. Let u = m + -0.8. What is the nearest to t in 1\/2, u, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-18 + (11 - 12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (13 - -23 - 21).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 296287 = 296297, 3*u + 27*t = 2*u - 266 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2*n + 2*n)*(3348*n**3 + 1852*n**3 - 6705*n**3).\nAnswer: 6020*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85342 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.1 (b) 1 (c) -43\/8 (d) -0.2 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 146, -3, 2 in decreasing order.\nAnswer: 146, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 374 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -37 - (9 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llc when three letters picked without replacement from {l: 2, c: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44198 + 5?\nAnswer: -44193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1)\/(6\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 125 = -601. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 53. Suppose -z*q = -0*q - 108. What is the first derivative of -16*y - 3 + 34 - y - q*y wrt y?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 91 - 34. What is the remainder when 46 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 1)*(-4*d + 0*d + 2*d)*(-42621 + 797*d + 42621) as k*d + g + m*d**2 and give m.\nAnswer: 4782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.726 times -62.2?\nAnswer: -542.7572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - 112. Determine r(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 a factor of 514883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a day?\nAnswer: 9720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -25. Let g = -1.97 - -1.87. Which is the closest to 0.1? (a) g (b) f (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276467013*g**4 + 183777528*g**2 wrt g.\nAnswer: 6635208312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n = 18*n + 8*n. Sort -32, -0.3, 0.5, n.\nAnswer: -32, -0.3, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 49*w + 3)*(-37*w - 4*w + 0*w).\nAnswer: -2009*w**2 - 82*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(1\/9)*h**5*((h*h**0)\/h*h)\/h assuming h is positive.\nAnswer: h**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d + 4*o = 170, o + 322 = 4*d + 336 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 209108, 209248, 209382, 209510, 209632, 209748?\n\"Answer: -3*w**2 + 149*w + 208962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38428285 to the nearest integer?\nAnswer: 6199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-57)\/102*-2 + (-711417)\/(-6783)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 225235435 * 0.3\nAnswer: 67570630.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmdm when four letters picked without replacement from {m: 12, d: 4, f: 1, q: 2}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99350, -397825, -895282, -1591721?\nAnswer: -2487142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-27) + 2\/9. Suppose -3*k - p + 72 = 0, 5*k - 110 = -m*k - 5*p. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -823458666 divided by 22602\nAnswer: -36433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.66 + 0.34. Let f = h + -10. Which is the closest to 8? (a) f (b) -5\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 - 3 = -4*o, 0 = 3*o - 2*f + 4. Let n = 8 - o. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36561.8201 - 3.\nAnswer: 36558.8201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -261, -64, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12533489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21187310*q = 21187367*q + 1254 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 - 2*d**2 - 2*d - 1. Let a be h(-1). Suppose x - 55 - 14 = -a*c, 4*c - 3*x - 105 = 0. What is the highest common factor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 10*z**2 - 18*z - 2. Let w be f(9). Let r = w + 87. Solve 3*p - 2*p = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1665 divided by -3\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let k(p) = -6*p. Let y(s) be the second derivative of -s**3\/6 + 5*s. Let o(d) = -2*k(d) + 15*y(d). Calculate t(o(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 159648623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4545*j. Let q(n) = 225*n**2. Give q(y(x)).\nAnswer: 4647830625*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 20. What is the second smallest value in x, 9, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3\/3 - 3*r**2\/2 - 2*r - 413. Give c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1064656 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/30 + ((-2204)\/570 - 19).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -336, 4 in increasing order.\nAnswer: -336, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36461\/66 - -3211\/6. Suppose -11*i = 15*i + 468. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u + 4 = 0. Let j be (2896\/(-2172))\/(-1 - 79\/(-75)). Sort 4, j, u in decreasing order.\nAnswer: 4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606221912.\nAnswer: 2, 37, 43, 47629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 - 87*y\/2 + 42.\nAnswer: 3*(y - 28)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/7, -61, 7, -5 in ascending order.\nAnswer: -61, -6, -5, 1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -86, -86, -84, -80?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12 - 5)\/(1*(-3)\/18) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50955*m**2*z + 4*m*z - 5*m - 1329 wrt m?\nAnswer: 101910*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -156*s - 108. Let b(h) = 12*h + 8. Let n(r) = 27*b(r) + 2*i(r). Let u(j) = -j + 2*j - j - 7*j**2. Determine u(n(a)).\nAnswer: -1008*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -16 (c) -5\/6 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110798842 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56913 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.16 rounded to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0270186 - 0.027. What is s rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -186*b. Let q(f) = 14*f - 110. What is m(q(r))?\nAnswer: -2604*r + 20460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -5\/24*v**4 + 1\/6*v**5 + 0 - 18*v**2 + 0*v + 0*v**3. What is the second derivative of c(f) wrt f?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*t - t + 4*t. Solve 20 = 3*x - t*o, -x + 1 - 5 = 4*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 7365*y - 44202. Calculate o(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 15*b**2 - 10*b - 10. Let x(m) = -m**2 + 1 + 0 - 2*m + 3*m. Let g(l) = -v(l) - 10*x(l). Let y(s) = -544*s - s**2 - 545*s + 1089*s. Give g(y(t)).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3215, -6426, -9639, -12854, -16071, -19290, -22511?\nAnswer: -25734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 20*o - 6. Let a be f(10). Suppose m = 4*m - a. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -150 and -351329.1.\nAnswer: -351479.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2019 - 2018.999972077. Round l to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109596 is divided by 9054.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 299 - 234. Let f = u + -52. Suppose 7*t = 2*t - 5, -3*t - 55 = -4*n. Calculate the highest common divisor of f and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41989218 + 0.06\nAnswer: 41989218.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 13 + 2 + 0 + (1 - -36)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -10 (b) 2\/3 (c) 2\/13 (d) 493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -5)*5265\/2. Let k be (-1)\/(-4) + a\/(-60). Let o = -38 + 49. Calculate the greatest common divisor of k and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 63*y + 162.\nAnswer: (y - 9)*(5*y - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 50348*f - 704881. Give d(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**3\/3 - p**2\/2 - 5*p - 21. Let a(n) = -n - 1. Let i be a(-5). Calculate h(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 3066460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 559 = 3*d - 2008, 1 = -k. Calculate the remainder when d is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 96980240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27354 divided by -6?\nAnswer: -4559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27084)\/(-976)*6*(-4)\/(-18). Solve -h*l = -38*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*x + 2670, -x - 3*x + 5*z - 2157 = 0. Let w = x + 924. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10227713*-0.06\nAnswer: -613662.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 5*m, -5*m + 4 = -3*m + 5*q. Suppose 0 = -z + 3, 34 = -3*l + 2*l - m*z. Let j = 42 + l. Solve x + 2*g + 8 = -g, j*g = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from xyoeooooyyeox.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 2 + 5 + 22*j**2 - 3*j**2 + (-2*j + 0*j + 4*j)*(-8*j + 36*j + 55*j).\nAnswer: 185*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 11*a**2 + 10*a + 5. Let p(g) = -g**2 + 9*g - 8. Let i be p(6). Let m be l(i). Solve -5 = -k + 2*w, -w - 1 = -m*k + 3*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 times 85.3\nAnswer: -7165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.29 + 24?\nAnswer: 22.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q - 14 = 0. Let p be 11\/(-63) + 2\/q. Let j = p + 7\/18. Sort 2\/11, -4, j in decreasing order.\nAnswer: j, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5632089ml to litres.\nAnswer: 0.0005632089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.659455 weeks to minutes.\nAnswer: 6647.3064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by 1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2029, 24961, 2 in decreasing order.\nAnswer: 24961, 2, -2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (50\/570)\/((-15)\/(-18))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638 + 713 = -15*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484122972?\nAnswer: 2, 3, 67, 602143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -28. Let r be 6\/(13\/(-16) - -1). Let w = 19 - r. Let a(k) = -5*k**2 - 5*k - 1. Let d(m) = -11*m**2 - 11*m - 2. Give l*d(t) + w*a(t).\nAnswer: -t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/6 + 11*g**2\/6 + 16*g\/3 + 14\/3 = 0 for g.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = -10*j. Suppose j = -8*f + 1 + 31. Solve -4 = f*w - 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 91*a**2 + 13198*a - 1216. Calculate h(78).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5334 - 5334 - 92*i**2 + (0*i + 3*i + 9*i)*(4*i + 0*i - i).\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 137?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-5*(sqrt(36) - sqrt(9))).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 6. Let i(h) = 3*h - 1. Let o(w) = -1 + 0*w - 6*w + 11*w. Let r(t) = -3*i(t) + 2*o(t). Calculate b(z) - 6*r(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4149280 or -4149296?\nAnswer: -4149280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68151 - 2081334 = 66*m - 259*m. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6aa791 + 37?\nAnswer: -6aa757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342652?\nAnswer: 2, 17, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80477787 a multiple of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 404*g**2 + 5234*g + 5640.\nAnswer: 2*(g - 188)*(g - 15)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 418700407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 651891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 70*j**2 + 56. Let h(z) = z**2 + 1. Let n(a) = -168*h(a) + 3*m(a). Let o(i) be the second derivative of -2*i**3\/3 + 15*i - 4344. Determine n(o(b)).\nAnswer: 672*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -417\/295 - -48\/59. What is the second biggest value in 1\/145, -0.3, t, 6?\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19572874 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 140\/25 - (-4)\/10. Suppose 0 = -g*x + x + 5885. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.89 - 40. Let z = u + 0.10999945. What is z rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1810 = 3*m, -n - 4*m + 750 = n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 392 and 21\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 16*b + 3. Suppose -4*c - 3*s = -69, -6*s + 42 = 3*c - 7*s. What is n(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.4 and -42?\nAnswer: -856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.1 - 8. Let r = -1 - 3. What is the nearest to r in -3, -0.3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3713 is divided by 3665?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/(-616))\/(20\/22)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.23, 1.7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -100000?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/7 + -38\/35. What is the biggest value in -0.3, -2, -9, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8126785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1431 = 2*d, -17*o = -5*d - 18*o - 3537. Which is smaller: d or -710?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + x - 1. Let h(f) = -12*f**3 - 45*f**2 - 66*f - 6. Let t(p) = -6*c(p) - h(p). Factor t(b).\nAnswer: 3*(b + 2)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -2\/3*f**3 + 7\/60*f**5 + 3*f**2 + 0*f + 0*f**4 + 0. Differentiate b(a) wrt a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -8, 3*m - 4*o + 5*o - 31 = 0. Suppose m = 5*c - 4. Solve 0 = -c*d + 9 + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (46\/(-115))\/(1\/5). Sort 7, a, 1 in increasing order.\nAnswer: a, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/6 + 9620041*i\/6 + 4810019 = 0.\nAnswer: -9620038, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 10:00 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*b - 75*b - 42*b)*(-2 + 3 + 1) + (0 - 8 + 19)*(3*b - b - 4*b).\nAnswer: -338*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 335. Let x(v) = -10*v. What is s(x(t))?\nAnswer: 500*t**2 - 335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 0.6, -0.1, 1\/2, 0.58, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/63 and 59\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4 - 4*h**3\/3 - 134*h**2\/3 + 196*h\/3 + 80\/3 = 0. Calculate h.\nAnswer: -5, -1\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579075?\nAnswer: 3, 5, 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418559006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (sqrt(11) - (5 + sqrt(11)*1))) + sqrt(11))**2 + (sqrt(88)*-1)\/sqrt(8))*-3 - (5*(sqrt(99) + -2*sqrt(99)) - sqrt(99))\/(-1*-1*sqrt(9)).\nAnswer: -207 - 51*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 2\/(-16)*-8*1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1034 or 1036?\nAnswer: 1034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3\/13 + 342*a**2 + 8*a\/13 - 1368 = 0.\nAnswer: -2, 2, 2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18.5 + -346252.0205\nAnswer: -346233.5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17666?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*c = -8, 7*d = 9*d - 4*c + 6. Solve d*z = 3*z + 3*w + 4, -2*w = 2*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-0.4.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -624610.09 to the nearest one thousand.\nAnswer: -625000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 779700321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 2. Suppose f = 7 - s. Suppose 0*q - 46 = -f*c + 4*q, -4 = -4*q. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((3\/(-9))\/(4\/(-8))). What is the closest to 0 in y, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32672761.\nAnswer: 11, 19, 156329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421410 = 1753*r + 3500*r + 2409*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Let z = -4 + g. Let l be 2*(1 + (-3)\/6). Which is the closest to l? (a) -1 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -c - 3, -2*c + 5*c + 9 = t. Let q(f) = -4*f + 10. Calculate q(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b - 4 - 2 + 2 - 1. Let c be m(-4). Suppose -c*g + 5 = -4. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 27 = 33. Let c(g) = 13*g - 297. Let d be c(24). Calculate the greatest common divisor of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 852.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 11. Let r be f\/(-9) - 141\/(-9). What are the prime factors of 4\/r + (-67)\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89411 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135 - -156. What is the highest common divisor of s and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 3*q - i*b - 76 = 0, 71 = 3*q - 3*b + 4*b. Let u = -15 + q. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39 + 40 + 5*w**2 + 7*w - 10*w + (w**2 + 1 - 1)*(0 + 1 - 3) + w**2 - 3*w + 3*w.\nAnswer: 4*w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - 3*n**3 + 5*n**3)*(-2 - n + 2) + 8*n**3 - n**2 - 8*n**3 + 3*n**4.\nAnswer: n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = -6*l. Let q be 1*((-1)\/1 + l). Let b = q - -6. What is the greatest common factor of b and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5948*z + 2965*z + 2981*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 335449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose p*a = -4*a + 4. Suppose -5 + a = -2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 1. Let l = -7 + c. Let w(t) = -t. Let m be w(l). Is -3 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12003912643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, e: 1}. What is prob of sequence memm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 845*a**2 + 225*a + 462. Let w be d(-2). What is the highest common factor of w and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 21*k**2 - 8*k - 17. Determine f(8).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(2 - 3)*78\/(-52). Factor -r**4 - 4 + 2*r + 400*r**3 - 402*r**d - r**4 + 6*r**2.\nAnswer: -2*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in -5, 416, 0.03, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165315 at least as big as 165531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/105*10*(-219)\/146. Which is smaller: 2239 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c - 2*y, 5 = -3*c - c - 5*y. Suppose 0 = -4*n + 7*n - c*o - 582, 784 = 4*n - 4*o. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 32 = 51*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21725 - -374?\nAnswer: -21361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-744)\/496*14\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -738 - -768. Let t(r) = -r**3 - 6*r**2 + 6*r - 6. Let g be t(-7). Let z = 11 + g. Calculate the highest common divisor of h and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 10. Let m(f) = 4*f - 45. Let x be m(10). Let a(k) = -6*k - 28. Let v(r) = x*a(r) + 14*o(r). Give v(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141105331877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3 - 729*k**2\/2 + 688. Determine z so that o(z) = 0.\nAnswer: -243, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 - -49\nAnswer: 48.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y + 2*y)*(-2*y - 5*y + 5*y)*(1 + 3 - 3).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 0*t + 0*t)*(14 + 5*t - t - 21) to a*t + p*t**2 + x + y*t**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 3076834?\nAnswer: 3076833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/9 - 4*a**2\/9 - 2*a\/3 = 0 for a.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043648 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -190251 (base 13) in base 3?\nAnswer: -1011221110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.3. Which is the nearest to 1\/4? (a) 1\/6 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -51. Suppose 3*i - g*r + 483 = 0, -2*r + 12 = r. List the prime factors of i\/(3 - (3 - -1)).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238779 - 173254 = -98*t + 59641. Is 63 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 4. Let w = 10 + -10. Let v be x(w). Let c(q) be the first derivative of 2*q**2 + 2*q + 90. Give c(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133*263725\nAnswer: 35075425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 286 - 179. List the prime factors of n.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10*q + 546000 = 0. Round q to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338992, -338991, -338990, -338989?\nAnswer: -338988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36725 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -151 (b) 21 (c) -1 (d) -5 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-31)\/(f*f**(-2\/31)*f) assuming f is positive.\nAnswer: f**(-1021\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + 9. Let h(w) = -14*w - 164. Let j be h(-12). Suppose 2*l + j*l = s. Solve 2*p + 1 = l*b + 5, b = -3*p + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -667*z + 0 - 1\/2*z**2 = 0.\nAnswer: -1334, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -70. What is the closest to -0.1 in r, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {z: 7, m: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.75 - -5.35. Let j = l + -6. Which is the third smallest value? (a) 5 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 2)*(3 - 6 - 4)*(-3 - p**2 - 2 + 6) + 327 - 52*p**2 - 327 in the form k*p**2 + r + x*p and give k.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-30)\/((b\/(b**(-8\/9)*b))\/(b\/b**(-7))) assuming b is positive.\nAnswer: b**(172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1109*d - 1108*d + 4 + 8*d**4 - 7*d**2 + 7*d**2 in the form t*d**3 + j*d**2 + m + h*d + n*d**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 + -13633.104836.\nAnswer: -13584.104836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7833262 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1188 + -0.12. Round i to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 797\/15 + -53. Sort l, 0.4, -4 in descending order.\nAnswer: 0.4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, 34 in descending order.\nAnswer: 34, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -380 times 0.05\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367 + -2?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83 + -3 + 3 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:30 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*f - 3, -5*r - 17 = 2*f - 0*r. Suppose -8*a + 5*a + 112 = 4*x, 0 = 2*x - 5*a - 30. Solve f*t = -t + x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-50)\/(-8)) + 25 + -69 + 44\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 30*l - 125. Let o be p(-25). Suppose o*a - 150 = -15*a. Solve a*r - 37 = -7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ljyplikkkkyi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5427?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/((-6)\/(-15)). Let c be -5*(0 + n - 1). Calculate the remainder when 9 is divided by 1\/5 + (-24)\/c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**6\/96 - 387*a**5\/16 + 748845*a**4\/32 - 96601005*a**3\/8 + 37*a**2 - 4*a. Find r such that i(r) = 0.\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/80 - 213*i**4\/8 + 45369*i**3\/2 - 1649*i**2. Solve j(r) = 0.\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.12 - -17.78. Let y = 37.8 - -0.2. Let j = y - v. Is j less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-10 + -5)) + (-1 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34679 is divided by 17105?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(152)\/(sqrt(40)\/sqrt(80)) - (3*-2*sqrt(114) + sqrt(114))\/sqrt(6)))**2.\nAnswer: 54*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {p: 9, n: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*y - 2*h, y + h + 4 = 0. Let x be y\/2 + (-90)\/(-12). Suppose 2*j - x + 3 = 0. Solve -j*l + l = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 156\/20 + (-150)\/(-125)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*j**6 + 29601*j**3 + 1959547*j**2 - 3*j?\nAnswer: -13800*j**3 + 177606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1113.3 + 1113.29999034. Round c to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/62204 and 1\/4074362.\nAnswer: 8148724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10106935 - 31605739. Suppose -110850696 = c + 3*c. Let u = c - y. What is u rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/129, -1, 2\/7 in ascending order.\nAnswer: -1, 1\/129, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2471?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5+-109931.11\nAnswer: -109936.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383601 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310 (base 5) to base 11.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 8*w**3 + 2*w**2 + w**2 + 9*w**3 to m + j*w**2 + v*w**3 + g*w and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, o: 3}. Give prob of sequence off.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31434, -62847, -94260?\nAnswer: -125673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8311 by -93.\nAnswer: -8311\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -78, 3, 0, 11.\nAnswer: -78, -1, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85.9*2\nAnswer: -171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(-31)*t**(-2)*t*t**(-2))**(-22\/3) assuming t is positive.\nAnswer: t**(-1166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:44 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3475 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18\/83 + -690\/1411. Sort 1\/2, 5\/3, f in increasing order.\nAnswer: f, 1\/2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 84 - (-15 + 17 + -1 + 14).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -3903 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 - 4*u**2)*(-4*u + 4 + 2*u - 11).\nAnswer: 10*u**3 + 35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482 is divided by 1474.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 8)*(-8*o - 3*o - 8*o).\nAnswer: -247*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**3\/3 + q**2\/2 - 18*q - 5. Let c be p(6). Suppose -u - c = -5*l, -60 = -4*l - l + 3*u. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f, 2*f - 24 = -4*w. List the prime factors of (-6)\/5*(-10)\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1817 times -0.1?\nAnswer: 181.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10485 or 10549?\nAnswer: 10549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-30 - (8 - 13)) - (22 - (3 - 11)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -2\/7 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 55, 66, 93, 142, 219, 330?\n\"Answer: z**3 - z**2 - 3*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, h: 1, a: 6}. Give prob of picking 2 a.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14010 - 5?\nAnswer: -14015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.5. Let d = -5 - -6. Let p = -205.2 - -205. What is the nearest to -2\/7 in y, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 6*t**2 - 6*t - 10. Let d be x(7). Let i(f) = 8*f**2 + 3*f - 3. Let u(a) = -168*a**2 - 64*a + 64. Calculate d*u(p) - 64*i(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2375599, -2375608, -2375617?\n\"Answer: -9*r - 2375590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + 11 + -11 + -1 + 12 + -16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 x when three letters picked without replacement from xjlmxmmmmlm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 298 - 2082\/7. Let t = 0.1 + -0.3. Which is the nearest to -1\/3? (a) t (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6517852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 839*f - 15. Let l(n) = 839*n - 12. Determine -4*g(q) + 5*l(q).\nAnswer: 839*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d + 6*d + (-d + 3*d + d + (0 + 0 + 2*d)*(2 + 4 - 2))*(2 - 4 + 5))*(0*d + 13*d + 5*d).\nAnswer: 612*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.5 times -44?\nAnswer: -5654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/16328950 and -31\/16?\nAnswer: 130631600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 34*g**3 - 2*g**2 + g. What is n(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35670713 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -193, 8, -0.3 in descending order.\nAnswer: 8, 3\/5, -0.3, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 104977*-0.2422\nAnswer: -25425.4294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1344)\/840*(-6)\/(-4)*(-255)\/(-6)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 4, o: 3, j: 1, q: 2}. Give prob of sequence omoo.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2067 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1802, 1806, 1810, 1814, 1818, 1822?\nAnswer: 1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-3\/5)*d)*d)**(2\/57)\/((d*d\/d**2)\/d*d*d\/d**(-13)))**(-18) assuming d is positive.\nAnswer: d**(23844\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 19574557?\nAnswer: -19574552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5055*b**2 - 6*b + 7868. Let n(z) = -10112*z**2 - 10*z + 15734. Let r(q) = -5*l(q) + 3*n(q). Differentiate r(i) with respect to i.\nAnswer: -10122*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 - 15*n**2 - 44*n - 240. Is f(-10) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let w(h) = -h + 5 + h - s*h + 3*h. Let d be w(-9). Which is bigger: d or -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69246 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 p(c) = -460*c**3 - 989*c**2 - 13*c + 52. Let o(w) = -229*w**3 - 494*w**2 - 6*w + 24. Let i(d) = -13*o(d) + 6*p(d). Find the third derivative of i(x) wrt x.\nAnswer: 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -182 and -181714?\nAnswer: 33071948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6240\/(-16))\/15)\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 447057*f - 2235360.\nAnswer: 3*(f - 149024)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 49 - 23*s**3 - 2*s + 2*s**2 + 0*s**2 - 130*s**3.\nAnswer: -153*s**3 + 4*s**2 - 2*s + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 125018056*m + 976844645376196.\nAnswer: 4*(m + 15627257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 62\/14 - 51\/119. What is the derivative of 114 - 253 + 4*t - j*t - t**4 + 53*t wrt t?\nAnswer: -4*t**3 + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 5*b**5 + 11*b**5 - 4*b**5 - b**5 + 4*b**5 + (4 - 4 + 6*b**3)*(-2*b**2 + 2 - 2).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**2*q*v**2 + 7*l**2*q - 18*l*v**2 - q*v**2 + 1984*v**2 wrt l?\nAnswer: 8*l*q*v**2 + 14*l*q - 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + 58*u**2 + 20*u + 48. Determine i(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129591 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0.2 (b) 1\/2 (c) -496\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -4 - -1) + -3 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a factor of 783368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 + 3*f + 1. Let h be t(0). Calculate the highest common divisor of 23 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-2 + -4 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 - 109. Let h be (0 + g\/(-8))*-2. Let u = h + 50. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.54 - 33.6. What is the closest to 1 in 3, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 21*d**2 - 55*d + 165. Determine a(23).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*a = -135, -3*s + 63 = -3*a + 12. Solve -5*z + 2 = s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 + 5334*b - 2840400 = 0.\nAnswer: 600, 4734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/399 + -55\/399. What is the nearest to 0 in i, -0.1, 3, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.3. Let n = -18.1 - -18. Put n, i, 4 in increasing order.\nAnswer: n, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 496.2 - 496. Which is smaller: l or -70\/9?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven halves of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3330 + 2322110?\nAnswer: 2312120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43852, 87913, 131974, 176035, 220096?\n\"Answer: 44061*r - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/57 and 47\/33.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126498 is divided by 1566?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*y**4 + 10*y**3 - 274*y**2 - 951153*y wrt y.\nAnswer: 300*y**2 + 60*y - 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7433 - 7162. Which is smaller: 2\/17 or t?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and (-4 - -2)\/((-8)\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1540 + 1237. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 750 = 4*d, -d - 186 = -2*d + j. Let u = d - 164. Calculate the remainder when u is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10\/13))**43)**(-3\/14) assuming f is positive.\nAnswer: f**(645\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -445 - -442. Sort p, -44, -0.3, 1 in decreasing order.\nAnswer: 1, -0.3, p, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75333384 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 3*l**3 + 2*l**3 + (l**2 + 0*l**2 - 4*l**2)*(2*l + l - 5*l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -60*a**2 - 25*a + 25. Suppose 48 = 21*u + 3*u. Let i(o) = 10 - 2*o**2 - 3*o**u - 3 - 2*o - 5. What is -25*i(x) + 2*w(x)?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75.9 - -76.2. Sort 7\/17, -2, c, 2.\nAnswer: -2, c, 7\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72189692.0000257 - -72189681. Let n = l + 11. Round n to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.012 + -0.088. Let o = i - -4.27. Let f = -0.17014 + o. Round f to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + n. Suppose 5*u = -0*y - 4*y + 4, -4*y = u - 4. Suppose 3 = -2*b - y. What is j(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -3. Let k = p + 16. Suppose 26*b = 8*b + 2*b + 48. What is the lowest common multiple of b and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (13 + -7))*(-11)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20*2)\/(((-1)\/(-20))\/(901\/(-106)))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 6*t. Let z(s) be the first derivative of s**3 + 2*s**2 - 7. Let x(j) = 2*o(j) + 3*z(j). Let p(w) = -9*w**2. Determine p(x(b)).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/570 and 77\/410?\nAnswer: 23370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2072387 - -33169933\/16. Let s = v - 735. Calculate the common denominator of s and (-58)\/48 - (-2)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162612 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*b = -14, 2*c - 9*b + 10*b - 3 = 0. Solve -4*l = -5*h + 41, c = l + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 35*a**3 + 14*a**3 + 2*a + 14*a**3.\nAnswer: -4*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2369*k - 106. Let g be z(-10). What is the second derivative of -23584*o**3 + 70*o - 63*o**4 + g*o**3 wrt o?\nAnswer: -756*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -60 - 126. Is (-16)\/4 + y + -4 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjy when three letters picked without replacement from krjly?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 136 = -42*d + 9*s, 24*d - 4*s = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -31*o**2 + 113*o. Let f(x) = 89*x**2 - 338*x. Calculate -6*f(v) - 17*n(v).\nAnswer: -7*v**2 + 107*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let v = -8\/13 + -2\/39. Sort -3\/2, v, l, -4 in descending order.\nAnswer: v, -3\/2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.98888km in nanometers?\nAnswer: 37988880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - s + 9 = -0*s, -2*a - 4*s = 8. Let v = -1035 + 1044. Let j be -14 + v + (-66)\/(-15). Is j greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*r = -137*r. Let f = 41\/456 - -2\/57. Which is the nearest to -0.3? (a) 3 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/80 - 27*a**4\/16 - 585*a**3\/8 - 4563*a**2\/8 + 115*a - 1. Let o(k) = 0. What is k?\nAnswer: -39, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-43323)\/(-28882)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(2\/3)*s)*s\/(s\/(s*s**(-1\/12)))*s*(s*s\/(s**(2\/5)*s*s))**(-3\/2) assuming s is positive.\nAnswer: s**(131\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12516*l**2 - 12542*l**2 + 378*l + 3*l**4 + 25151*l**2 - 42*l**3.\nAnswer: 3*l*(l - 9)*(l - 7)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**7\/210 - z**6\/40 - z**5\/30 - 29*z**2\/2 + 27*z. Let h(n) be the first derivative of w(n). Factor h(a).\nAnswer: -a**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 8\/15 (c) -1\/241 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-24)\/(-2))*-8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + k**3 + (470 - 20*k - 470)*(0*k - 3*k + 6*k)*(-k - 2*k + 5*k).\nAnswer: -119*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llz when three letters picked without replacement from {z: 5, v: 4, l: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 24*r + 87. Calculate b(7).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - ((1*sqrt(132)*-1 - sqrt(132)) + sqrt(132)))\/(sqrt(132)\/(-2*sqrt(11))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/5 + 10\/(-25). Let z(l) = -l**3 - 5*l**2 + 11*l + 6. What is the remainder when 80 is divided by z(c)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - 84*d**2 + 102*d - 2938. What is r(28)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-1\/5)*i)\/(i*i\/((i\/i**5)\/i)))\/(i**(-11)\/((i*i\/(i\/i**36*i))\/i)))**49 assuming i is positive.\nAnswer: i**(10241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(363) + -2)**2.\nAnswer: -88*sqrt(3) + 734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 2:35 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9739*f**3 - 7*f**2 + 2*f - 7. Let w(g) = 4871*g**3 + 3*g**2 - g + 3. Give 3*b(s) + 7*w(s).\nAnswer: 4880*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 8. Let a be (-6)\/r*(-4)\/(-6). Suppose a - 9 = -m. Solve 4*l - m + 0 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807054?\nAnswer: 2, 3, 31, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 359 = -z, 0*k + 1077 = -3*z - 4*k. Let y = z + 386. What is the highest common divisor of y and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43c97 (base 16) to base 9\nAnswer: 462775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677 - 288. Let v = -232 + w. What are the prime factors of v?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-64)*2\/3. Let h be (-4 + -3)*(-12)\/14. Suppose 0 = j + h*r - 2*r - 14, 4*r - 22 = -5*j. Which is the closest to 0.1? (a) -3 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - (52 - 3). Let w = -42 - k. Is 6 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((4\/(-6))\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378680 is divided by 377278.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-0.101817691.\nAnswer: -1.01817691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/4)\/((-3)\/(-6)). Suppose 35 = 4*o + 5*q, -3*o + q + 32 + h = 0. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121700849?\nAnswer: 29, 4196581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -3 + 0 - 74. Suppose 6*r + 300 = 16*r. Calculate the smallest common multiple of (-8)\/24 - j\/6 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h - 66. Let y be p(5). Let v be 4\/(-10) - (-396)\/15. Solve 0*o - 2*o + y*z + v = 0, z - 1 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10001?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 8) to base 16\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 395 divided by 592\nAnswer: 395\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/2 + 42*b**2 - 882*b = 0?\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = o + 93, 29 = 5*m - o. Solve m - 29 = 23*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -130*x**3 + 517*x**2 + 38*x - 107. Calculate o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477648308.\nAnswer: 2, 3, 71, 359, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + b)*(-b + b + 2*b + (-b + b + b)*(-4 - 1 + 3) - 10*b + 11*b + 10*b + b + 4*b - 3*b).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 309*q**2 + 1768*q - 15146. Give n(-303).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k + k)*(-18*k**3 - 2*k + 2*k)*(0 - 7 - 5)*(-2*k + 5*k + 0*k).\nAnswer: 648*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -5*o - 98*b, 58*o + b - 2*b + 13 = 56*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 6476.\nAnswer: 45332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.3. Let s = f - 0.2. Let q = s - 2.9. Is 1 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*d = 408*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (-2 - -1) - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11774 (base 10) to base 8.\nAnswer: -26776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 151455666 divided by -25242611\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/4 of a century?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4857 + -4858. What is the nearest to -2 in 0.2, k, -1\/12, -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -6 (b) -37\/3 (c) -4 (d) 2\/13 (e) 1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**1*c*c)\/c)\/c*(c**0\/c)\/c)**(13\/5))**(1\/27))**16 assuming c is positive.\nAnswer: c**(-208\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 - 188.0149. Round p to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 316\/4155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = 2*q. Let i be ((-9)\/2)\/(3\/6). Let b = q - i. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 44 - 140. Let w = -13 - s. What is the remainder when 63 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 8*q + 7. Let b(c) = c**2 + 4*c + 3. Calculate -9*b(a) + 4*o(a).\nAnswer: -a**2 - 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650334497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 take away -1.547?\nAnswer: 1.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740712 and 68944.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 67*d**2 + 1140*d.\nAnswer: d*(d - 114)*(d - 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = 0. Suppose f = -3*c - d*f + 27, -2*f - 34 = -5*c. Solve c = -j + 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**3 + 20*b**3 + 2*b**2 + 21 - 2*b**2.\nAnswer: -2*b**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:19 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -1)*3.\nAnswer: -3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(2430) - -2*sqrt(2430))\/(sqrt(216) + sqrt(6)))**2)*5 + -4.\nAnswer: 17294\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11747 is divided by 165?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -25*s + 1. Give q(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 6, -g - 28 = -2*f - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -7*p**5\/20 + 5*p**4\/12 + 360*p**2 + p + 375. What is the first derivative of w(f) wrt f?\nAnswer: -21*f**2 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-15)*s**(-2\/9)*s**(-11)*s\/(s*s*s**(3\/7)))**(-34) assuming s is positive.\nAnswer: s**(59228\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 2, k: 3, m: 10}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1219*z - 1215*z - 76. Which is bigger: z or -15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149412.\nAnswer: 2, 3, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(2299) + sqrt(2299) + -5)**2.\nAnswer: -352*sqrt(19) + 9260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -30*n**3 + 6089*n**2 + 203*n - 33. Calculate h(203).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-5))\/(798\/2660).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xczmxzmxxxx. Give prob of sequence xzx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 485\/291 - (-5)\/6. What is the nearest to -1 in 5, 22, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/7 + -5 + (-1 - -2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9028281.\nAnswer: 3, 349, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 + -22)*7\/(-10) - -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 3, -7.\nAnswer: -7, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -384015, -768037, -1152059, -1536081?\n\"Answer: -384022*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 7*m + 112 = 0, -64 = k + 289*m - 293*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (7 + 7 - -17 - 12)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17 - (-595)\/(-5))*2. Is j at least -195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (1 - -2)) + 64 - ((-124 - -62) + 55)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6 + 6*t + 2*t**2 + 4 + 4. Let j be h(-6). Suppose -2*d + j = -28. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Let n(l) = 35*l - 5. Let b be n(4). Let z(k) = -b + 135 + 5*k**2. Calculate z(w(p)).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 133, 110, 83, 58, 41, 38, 55, 98?\n\"Answer: t**3 - 8*t**2 - 6*t + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 735\/4*h**4 + 349*h**3 + 168\/5*h**5 + 2*h**6 + 44 + 108*h + 288*h**2. Determine l, given that v(l) = 0.\nAnswer: -6, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -56*i - 46. Let h be x(-1). Let s be (-12)\/h*10*8\/(-24). Solve -s*f - 3*d + 8 = 0, -f + 2*d + d + 17 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*r - 76*r + 2480 = -34*r. Suppose -3*p + 43 + 5 = 0. Calculate the highest common factor of p and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 53562037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 24, 36, 42, 36?\n\"Answer: -w**3 + 6*w**2 + w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - 2*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 8. Let l(b) = 315*b**3 - b**2 + 1. Let q be l(d). Let c = -184 - q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/9 - 28*z\/9.\nAnswer: -4*z*(2*z + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40629 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/15)\/(3036\/(-760) + 4). Let q = -151 + w. What is the closest to 2\/165 in 0, q, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739 - 376 = -139*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5868, 3, -587, 2 in decreasing order.\nAnswer: 3, 2, -587, -5868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiitbbditiiiii. What is prob of sequence tib?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let j be t(-5). Suppose 0 = -3*d + d + j*a - 9, -4*d = 2*a - 18. Sort -3, d, -5 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1784.20175 - 1784. Let x = i - 0.2. Round x to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0239 in -2\/9, -24, -3, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 17 - 1. What is the remainder when 31 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75034, -150061, -225084, -300103, -375118, -450129, -525136?\nAnswer: -600139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:32 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -309037536 - -44\nAnswer: -309037492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 16. Let z be (-764)\/(-20) - j\/(-5). What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516467?\nAnswer: 7, 89, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*a + 94*a = -809 + 5897 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 56\/3 (b) -1\/4 (c) 15\/8 (d) 0.3 (e) 24 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155 by -72128.\nAnswer: -155\/72128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16134925 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round 159341512.4 to the nearest 100000.\nAnswer: 159300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 111 = 101 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106 in -2\/7, 3, 0.3, -0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 6 (c) -1\/45 (d) 205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*y + 3*f, -5*y + 48 = -0*f - 2*f. Suppose -y = -3*u + 2. Solve -16 = -u*j + 4*h, 2*j + 2*h - 8 = 3*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooxoooooxx. Give prob of picking 2 x and 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 112?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i)\/((i\/(i*i*i**(7\/5)*i))\/i))**(-32) assuming i is positive.\nAnswer: i**(-1184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -889\/79 less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -2. Let i(a) = 5*a - 5. Let f(x) = -x + 1. Determine q*i(z) + 18*f(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*26\/(728\/(-12)))\/((-4)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74223.01 decades in months?\nAnswer: 8906761.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-90*(-46)\/345 + 48\/(-14))*(-910)\/52\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.44857 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -23*a**7\/10 - a**6\/30 - a**5\/20 + 26*a**4\/3 - 5*a**2 + 2*a - 40. Find the third derivative of u(i) wrt i.\nAnswer: -11592*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + 7) - (2 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {t: 3, v: 2, q: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14188 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1269 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Suppose 4*t - 24 = -4*q + 36, t = 4*q - 60. Let k = q - 12. What is the smallest value in k, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*j**2 - 613*j**2 + 148*j**2.\nAnswer: -797*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*d + 6. Let r be (d + 2)*(-3)\/(-6). Sort r, 3, 0 in increasing order.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-4))\/(122\/61)*(-4)\/(-10)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 380409437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79207893 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39879 is divided by 39873.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 5\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 7*u = -6. What is the lowest common multiple of u and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452 and 15142?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/592458379?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -t. Suppose t*x - 20 = x. Let q(g) be the first derivative of -g**4\/4 + 5*g**3\/3 - g**2 + 7*g + 2. Determine q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1285, -2412, -3539, -4666, -5793, -6920?\n\"Answer: -1127*d - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*q**3 + 39*q**3 - 884*q - 161*q**3 to d + h*q**3 + f*q**2 + m*q and give m.\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55401, -55516, -55717, -56010, -56401, -56896, -57501?\nAnswer: -58222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b - 2?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91087 is divided by 2412?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 + 3 = 0. Let b = -0.0084 + 59.0084. Is r != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:51 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -8\/5, -4, 684, -2, 1\/19 in ascending order.\nAnswer: -4, -3, -2, -8\/5, 1\/19, 5, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-30) + 5)*261\/12. What is the greatest common divisor of 10 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:11 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/12*1\/2. Which is the third biggest value? (a) n (b) 0 (c) -1\/6 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*1*(1 + 2). Suppose -p*s + 8*s = 2*c - 533, -4*c - 3*s = -1079. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*h - 3*u, -5*u + 3*u - 108 = -2*h. Let g(m) = 2*m**3 - 13*m**2 - 63*m + 422. What is the remainder when h is divided by g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*g = 30, -d - 5*g + 10 = -6*d. Suppose 9 + d = 4*o. Factor 0*j - 2\/5*j**2 + 0 - 1\/5*j**o.\nAnswer: -j**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:31 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + 22. What is the derivative of -5*t + 2 - w*t - 9*t - 16 wrt t?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -255.8\nAnswer: -256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 - -5.6. Sort a, -1, -5, 12 in decreasing order.\nAnswer: 12, a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 - 1 = 5*b + 60*s, 2*b + s + 19 = -5 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*u**2 - 78*u**2 + 130*u**2 to c + w*u + i*u**2 and give i.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*v - 193*v - 13 = -3*d, 73*d + 18 = 2*v + 78*d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -32. Let h = -99 + 114. What is the remainder when u is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-8) - 13\/(-4). Let u = 101 - 100.5. Which is the closest to -2? (a) q (b) u (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 155261 * -0.2\nAnswer: -31052.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69098?\nAnswer: 2, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 2*q = 10*q. Let s(n) be the third derivative of -1\/60*n**5 + 0*n + n**2 + 0*n**3 + q + 0*n**4. Give s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-29 + 9)*(1 - 7\/(-2)). What is the fourth biggest value in k, 1, 0, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w**5 - 7630*w**4 - 307724*w**3 - 1242232*w**2 + 647056*w + 438080 = 0. Calculate w.\nAnswer: -74, -5, -2\/5, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 40 = 12. Let n(p) = 20427*p - 11. Let f be n(u). Round f to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**16*m\/(m*m**(-2\/15))*m*m)\/(m*m\/(m\/m**2)*m*m**(-12)))**(20\/7) assuming m is positive.\nAnswer: m**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f - 46. Let b be o(6). Let j be (-1)\/(4\/b) - 2\/(-1). Suppose j = -2*l + l - 18. Which is bigger: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4\/(-4))\/(2\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**17\/v)\/(v*v**6))\/(((v\/(v\/v**12))\/v)\/v**(2\/33)) assuming v is positive.\nAnswer: v**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/16380 + j**6\/2340 + 2*j**4\/3 + 2*j**2 + 11*j. Let w(u) be the second derivative of v(u). Factor w(t).\nAnswer: -2*t*(t - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2112*h + 10581. What is u(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143005 - 3?\nAnswer: -143012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30601228.\nAnswer: 2, 7, 1092901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -3. Let o = 109 + -116.1. Let v = r - o. What is the nearest to v in 0.4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217 - 225.7. Let t = -9 - x. Let u = t - 0.1. Put -4\/7, u, 1\/11 in decreasing order.\nAnswer: 1\/11, u, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffrffr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4\/(-8)*-2. Let m be (t - -14)*(-4)\/(-5). Calculate the highest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-12))\/((-2)\/(-4)). Which is the second smallest value? (a) v (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/63 + 6\/(-21). Let s = -0.87 - 0.13. Let m = 1.3 + s. Which is the third smallest value? (a) x (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/((216\/(-56))\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 20358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(sqrt(54) + sqrt(6)))\/((sqrt(70)\/sqrt(2))\/sqrt(7)) - (-3 + sqrt(5) + sqrt(10)\/sqrt(2))*6*3)**2.\nAnswer: -3861*sqrt(5) + 148901\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462300 rounded to the nearest 10000?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let r(m) = -3*m. Suppose -2*a - 4*j = -5*j - 17, -2*a = 2*j - 26. Let d be (2 - 15\/a)*-10. Determine d*y(s) - 4*r(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14180362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/(32\/(34944\/105)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-13)*(-2)\/54.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(7111*s**3 + 302*s**5 + 7110*s**3 - 14219*s**3).\nAnswer: 604*s**5 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -9\/4*g**5 + 3\/2*g**3 - 3\/2*g**2 + 0*g**4 + 0 - 30*g. What is the second derivative of q(m) wrt m?\nAnswer: -270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15932330, 15932333, 15932336, 15932339?\n\"Answer: 3*m + 15932327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00131007309 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 2*b**2 + 2*b + (0 - 3 + 4)*(0*b - b**2 + 0*b) - 675 + 656*b**2 + 675 as w + m*b**2 + u*b and give m.\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(539) + (sqrt(539) - (sqrt(539) - (sqrt(539) + 2 + (sqrt(539) + -3 - sqrt(539))))))**2.\nAnswer: -12944 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26474.51 minutes in nanoseconds?\nAnswer: 1588470600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3764 is divided by 144?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, -5, -28, -51, -74?\n\"Answer: -23*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.13349g to nanograms.\nAnswer: 72133490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxxvxvxvvjxvv. What is prob of sequence jv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*i**2 + 0*i + 0.\nAnswer: 2*i**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 13*k - 4. Calculate x(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -5*d - 3*p - 11, -d + 2*p = 3*d - 6 + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-6)*(-229)\/(-8015)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 27 = 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 12, d: 1}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:15 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163383 - -792844. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + y + 73 = -2, 0 = -4*y + 20. Let d = i - 11. Let c(b) = -8*b**3 + 8*b**3 + b**3 - 5 - d*b**2. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -319\/210 + 2\/105. Let o = 203\/22 + -21\/44. Calculate the common denominator of y and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(11 + -5 - 7). Suppose -h*i + 16252 = 4*j, -4*j + 40642 = -i + 6*i. What is i rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 6, -1, -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvfqffqff. Give prob of picking 2 q and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14320, 14317, 14314, 14311, 14308, 14305?\n\"Answer: -3*b + 14323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/4)\/((-8)\/2*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 948727009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1402, 1394, 1372, 1330, 1262, 1162, 1024, 842?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 5) to base 15\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**5 - 837*y**4 + 1686*y**3 + 428670*y**2 + 4142919*y + 8684775 = 0.\nAnswer: -11, -3, 29, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w. Let v = 5 + w. Let s(x) be the third derivative of -x**6\/120 + x**5\/15 + x**4\/6 + x**3\/3 - 22*x**2. What is s(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -82. Let k = a - 20. Solve -2 = 4*d - k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 627924. Let b(p) = 3*p**2 + 3. What is z(b(v))?\nAnswer: -9*v**2 - 627933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 231 - 543 = -8*h - 3*h for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + 1 + -5 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*f**2 - 11*f + 341 with respect to f.\nAnswer: -34*f - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 3. Let d be (-15 - -12) + (1 + 2 - 18). Let g = -19 - d. Which is the third smallest value? (a) -2\/9 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a factor of 17255520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a day in minutes?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1457\/(-7285))\/((-1)\/(-18))*2\/((-6)\/(-35)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84143, 84141, 84139, 84137?\nAnswer: 84135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29429*y**3 + 14572*y**3 + 14695*y**3 + 15 to l*y**3 + t*y + p + d*y**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(90) - (sqrt(90)*2 - sqrt(90))))\/(-3*sqrt(50)).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 21*d + 12*d**2 + 8 + 14*d - 5*d - 2 - 38. List the prime factors of f(-7).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 270*o + 166*o + 13 - 15 + 19 + 72. Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -373.07098\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/476 and 71\/3910.\nAnswer: 54740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -959924370.59999914 + 959924361. Let n = 9.6 + o. What is n rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 0 + 6 + 3 - 3 - 2*o. Let s be g(1). Suppose -4*d = s*m - 52, 0 = -3*m + 2*m - 1. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 23*r**2 + r + 12. Let f(c) = 2*c**3 + 30*c**2 + 2*c + 11. Let t(m) = 5*a(m) - 4*f(m). What is t(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -21*i + 136. Let h be p(6). Suppose -h*m - 7*m + 34 = 0. Factor 0 + m*b**2 - 5\/4*b**3 + 1\/4*b**4 - b.\nAnswer: b*(b - 2)**2*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -18. Let b(p) = -p**3 - 10*p**2 - 7. Let i be b(-7). Is (v\/(-2))\/(7\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145 - 11215?\nAnswer: -11363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19672 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1225.842 + -1221. Let c = -0.158 - m. Which is greater: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 - 3 = 0. Let c be 1\/n + (-6)\/30. Is -2 - (c - 2) - -79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, -26\/11, 648?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/10)*j**1*j*j\/(j*j*j*(j*(j**(-5)\/j*j)\/j*j)\/j*j)*j*j**(-1\/2)*j*j*j*j assuming j is positive.\nAnswer: j**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -151. Suppose 7*k + 6 = s. Solve -19 = -3*u + u + 3*f, -3*u + f = -k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 94\/18 - (-2)\/(-9). Suppose -4*t - 2 = r*h, -h - t - 4 = 2*h. What is the remainder when 82\/h*(-1)\/1 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180091, 180093, 180095?\nAnswer: 180097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**5 - 6*y**4 + 418906*y**3 - 4*y**2 + 1624357*y wrt y?\nAnswer: 360*y**2 - 144*y + 2513436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 - 58352*a**3 + 425502768*a**2 + 1702711360*a + 1702944800 = 0. Calculate a.\nAnswer: -2, 14590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5 + 248138903*w**4 - 106304962*w**2 - 1 wrt w?\nAnswer: -60*w**2 + 5955333672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618a8d (base 14) in base 8?\nAnswer: 51212565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(((-6)\/7)\/(246\/(-2296))). Factor -1\/8*n**5 + 7\/8*n**2 + w*n**4 + 0 - 1\/4*n - 9\/8*n**3.\nAnswer: -n*(n - 2)*(n - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n - 417 = 4*x, 3*x + 3*n + 339 = 0. Find the common denominator of 236\/(-6)*(x\/160)\/9 and -17\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 81.46723 weeks?\nAnswer: 49271380.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 - (13 + -12 + (8 - 0))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11, 23, 47, 89, 155?\n\"Answer: r**3 + 5*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 19*f - 17. Let y be g(20). Suppose -119 = -y*w + 5*s, -2*w + 50 = -0*s + 4*s. What is the highest common factor of w and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*c - 7*u + 8*u, 0 = -3*u - 9. What is the nearest to 0.2 in 7, -5, c, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:27 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d)*(0 + 3 - 2)*(-2 + 20*d + 11*d - 6*d).\nAnswer: -25*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2 - 2. Let m = g + 12. Suppose 0*k + 2*k - m = 0. Solve z + 3*z + 1 = 3*d, k*z + 4*d = 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1114*j - 374. What is the remainder when i(-1) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 230\/25 - 15\/3. Let m = u - -3\/10. Solve -15\/4*j + 3*j**3 + 0 + 9\/2*j**4 + 3\/4*j**5 - m*j**2 = 0 for j.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmqqm.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 314 and 783901.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Suppose 2*x + x = 270. Suppose x = 3*m + 2*m. Solve 4*w + m = -h*z - 2*z, -2*z + 22 = -4*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-5))\/4*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 91\/14)*(-16)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*b - 493*b - 478*b.\nAnswer: -43*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 2. Let i be l(-3). Let n = -100 - -102. Which is the third smallest value? (a) n (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4834 + 4836.8. Which is the closest to 0.1? (a) -4 (b) -3 (c) -2\/9 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99742119.\nAnswer: 3, 33247373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 212, 1554, 4 in increasing order.\nAnswer: 4, 36, 212, 1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*u**3 - 2*u + u**4 - 90*u**2 + 153*u**2 - 63*u**2 + 2 to the form g + s*u**2 + y*u**4 + t*u**3 + x*u and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5760523, -23042125, -51844797, -92168539?\nAnswer: -144013351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 18 - 13)*((3 + 3 - 5)*(3*p - 2*p - 2*p) + 15*p - 36*p - 2*p) as g*p + m and give g.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.1, 1\/113, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 24*h**3 - 92*h**2 + 91*h - 1. What is a(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 266*j**3 + 172*j**2 - 7*j + 7. Let h(t) = 264*t**3 + 169*t**2 - 6*t + 6. Let i(x) = -6*c(x) + 7*h(x). What is the third derivative of i(b) wrt b?\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4 + 4)*(11*y**3 + 65*y**3 + 15*y**3).\nAnswer: 182*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.513 - -1.82. Let f = 0.3070025 - m. Round f to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31343040 (base 5) to base 11.\nAnswer: -16a058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0.5 (c) 6\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*n + 61*n**3 + 23*n)*((-1 - n + 1)*(-3*n + 6*n - n) - n**2 + 2*n - 2*n).\nAnswer: -183*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.2347, 3\/5, 1 in descending order.\nAnswer: 1, 3\/5, -0.2347, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*q + 11. Let l = q + 3. Suppose 5*z + l*z - 3*g - 36 = 0, 4*z - g - 33 = 0. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i - 767. Let w(g) = -13*g + 779. Give 3*k(u) + 2*w(u).\nAnswer: 4*u - 743","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017424 to 7 decimal places.\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 - 5ab?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9*-1)\/((-98)\/(-42))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1424*m**3 - 3*m**2 + 2*m + 5213?\nAnswer: -4272*m**2 - 6*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -i + 420. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**14*v*v**31)**9 assuming v is positive.\nAnswer: v**423","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 60*a - 80.\nAnswer: -5*(a - 2)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 4*m - 4*y = -12, -m = 3*y - 17. Solve 5*n = m*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-162168)\/(-15) - (-3)\/(-6)*128\/(-80).\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 610b078?\nAnswer: 610b062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427135405.\nAnswer: 5, 285427081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156164 is divided by 1578?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:56 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/2)\/((-3)\/8). Let d(r) = -r + 10. Let o be d(q). Sort 3, o, -3, 0 in descending order.\nAnswer: 3, o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 44*l**2 - 143*l**2 + 70*l**2. Let t(n) = -12*n**2. Give t(s(c)).\nAnswer: -10092*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k + 115 - 35 - 37 - 39. What is t(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20684?\nAnswer: 2, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -46*b**3 - 2*b**2 - 8*b - 150. What is the second derivative of o(u) wrt u?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 30*q**2 + 8*q + 14. Let h(b) = 10*b**2 + 3*b + 5. Let n(l) = 20*h(l) - 7*p(l). Give n(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 581 - 8aa1?\nAnswer: -8520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4631\/49 or -96?\nAnswer: -4631\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51580 is divided by 1567.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -203*a + 202*a + 14. What is the remainder when 66 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 51 = -7*l. Suppose 1180 + 601 = -k + 3*t, -2*k - 5*t = 3551. Is (k\/6)\/((-1)\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 55. Is c bigger than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 2. Let p be o(2). Let j(k) = -k - 4. Let s be j(p). Suppose 5*u - 25 = -s*u. Solve 0*y + u*y = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.93179 hours in milliseconds?\nAnswer: 219354444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -2\/7, -0.06, 4\/3, -2.9.\nAnswer: -2.9, -4\/9, -2\/7, -0.06, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/25)\/c)\/c**(-32))\/(c**(-22)\/c**(-21)))**(-29) assuming c is positive.\nAnswer: c**(-23171\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.17478 + 3.025. Let n = 0.15 + p. What is n rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11231, -44878, -100911, -179330, -280135, -403326, -548903?\n\"Answer: -11193*k**2 - 68*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 336968755*p**6 - 2*p**3 - 486303141*p**2 wrt p.\nAnswer: 40436250600*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273912*r**2 - 378*r - 273926*r**2 + 378*r.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512810059.\nAnswer: 139, 3689281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40216 and 968.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11)*2)*2.\nAnswer: -4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/2)\/((-14)\/7). Suppose -2*n + n + 17 = k. Let t = n + -5. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*y - 544 - 203, -5*y - 1225 = -5*g. Let a = g + -136. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3192 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/12)\/((-13)\/(-26)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**7\/112 + j**6\/16 + 3*j**5\/20 + j**4\/8 - 19*j. Determine s so that c(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*w - 468, -5*t - 24 = 2*w - 308. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghyfgmgytghgmmfyyg. Give prob of picking 1 g and 1 t.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5608 - -12687. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13541 - 6813. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -5. Let m = s + 16. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 35 = 2*n - n, -25 = -2*l - 3*n. Let c be 44 + -1*(3 + 0). Suppose -5*u - c = -91. What is the least common multiple of l and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*(sqrt(99) + 0)*6 + -1)*-4*-1)**2.\nAnswer: -5760*sqrt(11) + 1140560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020002 - 200000121?\nAnswer: -201020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 + 2 = 4*b, 2*r + 19 = -3*b. Which is bigger: -16\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -533808 - -1206109. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - z - 528 = 0. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*(b**(-8)*b*b)\/b*b*b*b)*b*(b*b**(-1)*b*b)\/b*b)**20 assuming b is positive.\nAnswer: b**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27a - -20994?\nAnswer: 20717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 33*s = -28*s + 2785, 0 = -w + 3*s - 573. Are w and -559 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2835 - -2840. What is the second biggest value in x, -2, -2\/15, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14701592, -14701538, -14701470, -14701382, -14701268, -14701122?\nAnswer: -14700938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7435509 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012 * -2210.28.\nAnswer: -26.52336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505 - 3*g - 5*g - 14366 + 5*g.\nAnswer: -3*g - 13861","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1577 * 2\nAnswer: -3154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 2\/29 (b) -5 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(833) + 3 + sqrt(833))*-6 + (sqrt(833)*1*6 - ((sqrt(833) - (sqrt(833) + 2*sqrt(833))) + 4)))**2.\nAnswer: 2912*sqrt(17) + 16032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351848877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/346 + 349\/1038. Let t = 19049\/198 + -577\/6. Is t greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = s + s + 15, s = -4*i + 96. Differentiate i*h + 5 - 1 - 12*h wrt h.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 6*d**2 - 4*d + 3. Let k(h) = -5*h. Let g be k(1). Let f be i(g). Let u(v) = -6*v + 53. Let t be u(8). Sort f, t, 2 in increasing order.\nAnswer: f, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 1052, -592, -1 in decreasing order.\nAnswer: 1052, 5, 1, -1, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -2*g**4\/3 + 8*g. Let d(r) = r**2. Determine s(d(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*l + 172180 - 28236. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 10 - 2. Let p = 12 + x. Solve -4*f = -9*f - p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3557 = 23*y - 6126. Solve 422*l + 5 = y*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18717 and 6858129.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16*42\/(-448))\/(5\/8160). Calculate the highest common divisor of 1152 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.133 - -0.4?\nAnswer: -246.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:48 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/8 and -26\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3027537 (base 8) to base 14.\nAnswer: -16b03d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*b**3*s**4 + 34624*b**3 + 14028*b*s**4 + 2*b wrt s?\nAnswer: 20*b**3*s**3 + 56112*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38287 = -138*v - 149*v + 257897. List the prime factors of v.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369002203*v**4 + 5096777*v + 47 wrt v.\nAnswer: 4428026436*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/19)*d**(-9\/4)*(d**(3\/4)\/d)\/(d*d\/d**3) assuming d is positive.\nAnswer: d**(-61\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36098091?\nAnswer: 3, 211, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -4 in descending order.\nAnswer: 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1164150254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3598306*o**3 - 4685262 with respect to o.\nAnswer: 10794918*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9748, -9687, -9626, -9565?\n\"Answer: 61*w - 9809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.9 + 32. What is the closest to z in 2\/3, -1, -4\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 913635 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + (-8 - -4) + 17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 9*f**2 + 15*f + 19. What is l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627111313?\nAnswer: 627111313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n + 0 + 18 + 10*n. Let f be a(5). Suppose 0 = f*b - d - 1, b + d = -4*d + 11. What is the nearest to -1 in 0.4, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36671, 36665, 36655, 36641, 36623, 36601?\n\"Answer: -2*u**2 + 36673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.952 + -62.048. Which is bigger: -4\/35 or a?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 22 = 2. Does 4 divide (-44)\/(l\/(1 - 13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -417 - 2014*t - 924 + 283 + 305 wrt t.\nAnswer: -2014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**7\/1890 - 22*g**6\/405 + 41*g**5\/24 + 75*g**4\/8 - g**3 - 8*g + 75. Let d(w) be the third derivative of h(w). Factor d(s).\nAnswer: (s + 1)*(2*s - 45)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -584.376726 + -0.355274. Let c = -2.532 - u. Round c to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 f when four letters picked without replacement from {f: 5, k: 10, w: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42\/5 of a day?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + 16. Suppose c = -c + w. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:22 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2774 = 3*g, 13*z + 5559 = 15*z + 5*g. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 0*t = -3*t - 10, t - 6 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by 2\nAnswer: -109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1*6\/18. Let f = 1 + l. Suppose o + f*o = 75. Calculate the highest common divisor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4623*k**2 - 2305*k**2 - 5*k + 5*k + 0*k - 2317*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 equal to 575\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 1, p: 3, b: 1, g: 1}. What is prob of sequence iyg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*k*p**2 + 6857*k*p + 121*k + 27895*p**2 wrt p.\nAnswer: -136*k + 55790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 - 60315*x - 362070 = 0.\nAnswer: -6, 12069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 2*y**2 + 8*y + 4. Let o be q(4). Suppose -5*b + 3226 = -4*j, o*b - 4*j = -6*j + 2560. Suppose b = 3*c - 759. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 0)*(-c**2 - 2*c**3 + c**2) + (15*c - 1707 + 1707)*(-c**2 + 3*c**2 + 0*c**2) + (0*c**2 - c**2 - 2*c**2)*(3*c + 11*c + c)*(5 - 1 - 3).\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8386331\/3 > -2795444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 35. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-18)\/10)\/(54\/(-720)) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4233 - -4686. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41502\/17 - -2624916\/799. Let z = r + -844. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2 - 2, -f + 5*a - 129339 = 0. Suppose -3*n = 190963 - 998920. Let v = n + f. What is v rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 + 17*f**2 - 5*f + 18. Let q(m) = -3*m**3 + 17*m**2 - 6*m + 18. Let p(g) = -3*q(g) + 4*v(g). What is the second derivative of p(x) wrt x?\nAnswer: 6*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 5)*(-4 - 17*o + 18*o + 1 + (-4 + 4 - 2)*(-4 + 4 + o)) in the form w + c*o and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170 - 4?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*c**2 + 14*c**2 - 3*c**2)*(-4*c + 2*c + 4*c)*(2*c + 1 - 1) to the form i*c**3 + h*c + s*c**2 + t*c**4 + b and give t.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*(-2008)\/46686.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022101010200010 (base 3) in base 12?\nAnswer: 6367719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 502*c**3\/3 - 1247*c**2\/2 - 2*c + 149. What is the first derivative of s(t) wrt t?\nAnswer: 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/((f**(-7\/4)\/f)\/f)))*f\/(f*f*f*f*f**(-15)\/f)*(f\/(f\/(f**(1\/4)\/f)))**(5\/3) assuming f is positive.\nAnswer: f**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (170\/17)\/(70\/4). Suppose 3*p - b - 6 = 0, 0 = 4*p - b - 4 - 3. What is the closest to h in 54, -2, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Suppose 4*y = y, -t*c - 2*y = -8. Solve -3*z + c = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-92)\/(-62))\/(1466\/22723) - -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Express 110*n**2 - 2*n**3 + 16243*n**4 + 16235*n**4 - 32479*n**4 - 6 in the form f + d*n + g*n**2 + t*n**4 + q*n**3 and give g.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 694, -2\/11, -0.05?\nAnswer: 694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1194.\nAnswer: -7\/1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -52\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 4*m - 10 = -11*l, -3*l - 2*m + 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = 5*y. Let j(i) be the first derivative of i**3 + i**2\/2 + 3*i + 8. Is j(y) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z - 1. Suppose -5*r - 13 - 7 = 0. Give n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/(1*6\/(-15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309 and 2678?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4476*l + 4472*l = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8632 + 8617. Which is the biggest value? (a) 0.2 (b) -1 (c) -6 (d) g (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 2 + 26. What is the third biggest value in x, 3\/5, -1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137 or -62.6?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-9)*6\/(-4). Suppose c*p - 16 = 4. What is the least common multiple of 6 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/((-70)\/(-420))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h**3 - 29*h**2 + 32*h - 36. Let i(w) = -7*w**3 + 19*w**2 - 21*w + 24. Let n(z) = 8*i(z) + 5*m(z). Let c be n(6). Solve c = 2*g - 6*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 5*c**3 - c**3.\nAnswer: 4*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 28756 (c) 2 (d) 12\/91 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 297400, 297399, 297396, 297391?\n\"Answer: -o**2 + 2*o + 297399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**4 - 375*c**3 - 7570*c**2 - 20160*c - 12960 = 0.\nAnswer: -36, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90606, -90604, -90602, -90600?\nAnswer: -90598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 377539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 297641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2. Let z(d) = 21*d - 5. Determine -2*x(u) + z(u).\nAnswer: 21*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211973 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -12*-4*(-6)\/(-72) + 6137 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/(-112) - ((-131)\/7)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -156. Suppose -o*u = -3*u - 30. Calculate the lowest common multiple of u and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 148369957\nAnswer: -148369954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12761, 25524, 38287, 51050?\n\"Answer: 12763*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 - (10\/2)\/((-90)\/(-2070)). Let b(r) = 23*r**2 - 6*r - 6. Let q(u) = -437*u**2 + 115*u + 115. Calculate h*b(o) - 6*q(o).\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q*q\/(q**1*q)))\/q)**(2\/75)*(q**1\/q)**(-16\/7))\/(q**5\/q**(1\/3)*(q\/(q\/(q*q**(-2))))**(-2\/9)) assuming q is positive.\nAnswer: q**(-1094\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34482 is divided by 10588.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 3*f**2 + 1. Let x be g(-3). Suppose 0 = -4*p + x + 7. Solve -25 = -p*d - 3*d + 4*v, 0 = -d - 3*v - 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(19) - (sqrt(228) + (1*sqrt(228) - sqrt(228)))\/sqrt(12)) + sqrt(19) + sqrt(475) + 1 + sqrt(19))*-3)**2.\nAnswer: 3150*sqrt(19) + 209700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 95.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 + 7*b**2 - 2*b**2 + 5*b**3 - b**2 to q*b**3 + p*b + t*b**2 + v and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninkmimj. Give prob of sequence nn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 - 34 - 44)*((5 - 2 - 2)*(1 - 2 + 0) + 3 - 1 - 4)*(-b - 1 + 3*b + 2) in the form c + j*b and give c.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Let d(x) be the second derivative of -x**6\/30 + x**4\/24 - 41*x**3\/6 + 35*x. Let i(h) be the second derivative of d(h). What is i(t(g))?\nAnswer: -48*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:42 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v. Let d(k) = -373*k. What is u(d(n))?\nAnswer: -2238*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, -9\/5 in increasing order.\nAnswer: -4, -9\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -7, -2\/3, 0.405?\nAnswer: 0.405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 12*r - 8. Suppose 0 = 13*w + 4*w + 3126 - 3347. Determine t(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:17 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {u: 1, v: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*f**3 + 79*f**3 - 228*f**3 - 213*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -21 (c) -16770\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 12. Suppose 0 = n + 4*y - 4, x*n - y = -1. Suppose -h - 44 + 46 = n. Solve -h*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36330 and 290640.\nAnswer: 290640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (-230)\/15)\/(4\/(-14)*(-43)\/258)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/12)\/((g**6\/g)\/g))\/(g**(-5)*g\/(g*g**(1\/2))) assuming g is positive.\nAnswer: g**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -12, -2\/17, -3.73, 0.2, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 1681*x**5\/60 + 574*x**4\/3 + 110*x**3\/3 + 8*x**2\/3 + 1048*x. Factor y(k).\nAnswer: (k + 4)*(41*k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -670 + 1655. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2680 + 2678.4. Which is the closest to 2\/5? (a) -3\/2 (b) -2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69 - (-5 + 7 + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4109085.\nAnswer: 3, 5, 127, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7234 from -0.01.\nAnswer: 7233.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -23*y - 110. Give g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 714 divided by 10\nAnswer: 357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 561 = -5*o, -4*t + 6*o + 722 = 4*o. Calculate the highest common factor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 636*g**2 + 8859 + 830*g**2 + 407*g**2 - 4201*g + 4200*g wrt g?\nAnswer: 3746*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/(x**(-1\/8)\/x))\/(x**7*x**(5\/3))*((x\/(x*x*x*x**(4\/9)))\/x**7)\/(x*x**1*x*(x\/x**(4\/9))\/x) assuming x is positive.\nAnswer: x**(-541\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 206916 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27031651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44940 is divided by 22450.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Let i(u) = u**3 - 6*u**2 + 6*u - 2. Let a be 1\/((-3 + -1)\/(-20)). Let o be i(a). Solve -w = o*w + f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64\/16 - ((-195)\/(-90) + 1\/(-6)). Solve -h*b = -4*l - 14, 3 = -3*l - 3*b + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 at most as big as 609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/13814454 and -79\/142515.\nAnswer: 207216810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/((-4018)\/(-2205)))\/(3*(-1)\/(-2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 1455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93595519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 136 = -97*k. Let h = 0.7 + -3.7. What is the closest to 0.1 in k, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 14 = -0*f - 2*f, 3*f + 10 = -k. Let o = k + -2. Let z be (2 - -1) + 0 + o. Sort z, -3\/4, 1 in descending order.\nAnswer: z, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -23, -60, -131, -248?\n\"Answer: -2*f**3 + f**2 - 4*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10758511, -10758507, -10758503?\n\"Answer: 4*v - 10758515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f + 79 - 479 = -7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-81)\/(-9))\/(0 + 1). Solve 0 = b*d - 4*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/3, -4, 157?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 452 (base 7) to base 13\nAnswer: 14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (2*9 - -1). Let q = -12 + o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101708 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130176 + 130265. Let g = -15 + 46. What is the remainder when w is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118.79098 - -86.0765. Let c = t - -32.7. Round c to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3221*k**2 + 17482*k?\nAnswer: -6442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155362*s - 465801*s + 155332*s + 155308*s.\nAnswer: 201*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -22. Let q(l) = -l**2 - 17*l + 5. Let a be q(n). Solve -f = -a - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1182 divided by 6.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*f**3 + 11*f**2*t + f + t - 32236 wrt f.\nAnswer: 102*f + 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7294\/55 - -1461\/11. Solve r*m**2 + 0 - 1\/5*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a + 1243. Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -51155*b. Let k(v) = -2*v**2. Give k(g(h)).\nAnswer: -5233668050*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**(-8\/3) assuming t is positive.\nAnswer: t**(-16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*o**4 + 998*o**2 - 2*o - 495139.\nAnswer: -148*o**3 + 1996*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.5 - -41. Let l = q + 0.4. Let s = -1.9000015 + l. Round s to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/((-1)\/(-1))*(-2)\/4. Calculate the smallest common multiple of 3 + ((-1*6)\/3 - j) and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itg. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -88\/3 (b) -5 (c) 27\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 5. Let j(r) = 4. Let q be (12\/30)\/((-2)\/10). Let x(k) = q*g(k) + 3*j(k). What is the first derivative of x(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeieebebereeeeeeefi. Give prob of picking 1 e and 2 i.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.09 (b) 4 (c) -0.1 (d) -0.22 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 127 = s, 5*a - 44 + 362 = 3*s. What is the units digit of 177*-2*21\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*x + 415*x + 328*x - 32816 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 243 * -1.1\nAnswer: -267.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 5*w**4\/24 + 19*w**3\/6 - 34*w**2. Find the first derivative of y(q) wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 - 5*o - 8. Let a(r) be the third derivative of -r**5\/20 - r**4\/6 - 7*r**3\/6 - 11*r**2 - 1. Determine 6*a(c) - 5*u(c).\nAnswer: -3*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 768 - 749. Suppose r*h = 2360 - 631. What is the remainder when h is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160 - -243. Calculate the remainder when c is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 42 - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f = 4*p - 167, 4*p + f - 173 = 0. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 144 = 2*d, 2*d = -15*h + 10*h + 162. Calculate the remainder when 103 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -18. What is the third smallest value in -0.4, h, 2, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14788000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/(-15))\/(-2))\/((-50)\/(-15)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t + 70. Let w be g(-6). Let k be 297\/(-27)*(-4)\/w. Solve -k*n - 5*r + 5 = -0*n, 17 = -4*n - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-1\/77)*s**(-6)\/(((s**(-2\/9)\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 10664.\nAnswer: -3\/10664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.009 - -0.00811. Round k to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/4*6214\/39. Let t = -278 - l. What is the third smallest value in 0.01, -2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2335 - -42019\/18. Let b be 46\/6*(0 + 7). Let t = b + -371\/6. Find the common denominator of t and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37874952 divided by -4?\nAnswer: 9468738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-4\/5)*f)\/f)\/f*f**(4\/5)*f*(f**(-1\/7))**22)**(-19) assuming f is positive.\nAnswer: f**(285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17289 and 72207.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/9 (c) 27\/5899\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.1*1.4.\nAnswer: 19.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 121838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2, 2\/33, -141, -21.1?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 4*k - 20, -44 = 5*k - 39 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -195?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 431662 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103526, 207087, 310636, 414173?\nAnswer: 517698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.046 - -2.962. Let h = 0.008 - m. Which is the third smallest value? (a) 3 (b) 1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let o(s) be the first derivative of s**5\/20 + 5*s**3\/3 + 1. Let r(c) be the third derivative of o(c). What is b(r(t))?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1100)*3*5)**2 + ((2*sqrt(1100) + sqrt(1100) + 4)**2 - sqrt(1100)))*6.\nAnswer: 1380*sqrt(11) + 1544484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) - 4*sqrt(77)*3))\/(sqrt(110)\/((sqrt(160) + sqrt(10))*2)).\nAnswer: 440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1081\/22*6 + 8\/44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-14 - -31)) + (-2 - (2 + -3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(6\/7))**(-1\/33)\/(l**(-12\/11)*l)**16)**(-9\/11) assuming l is positive.\nAnswer: l**(-927\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13833*h + 333624 = 68*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1 (c) 5 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*h + 8*h + 18*h - h - 823*h**3 - h**2 + 2*h**2 to t + l*h**2 + s*h + d*h**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2417 = 4*v + 3*x, -3*v + x = 559 - 2362. Suppose 2*c + 0*c = v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 20*u**2 + 32. Let p(k) = -2*k**2 - 3. Let g(o) = 3*a(o) + 32*p(o). Let m(s) be the first derivative of 4*s**3\/3 - 2. Determine m(g(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.88 - -11. Let t = -3195 - -3192. Which is the third biggest value? (a) r (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -28*t**5\/5 - 2*t**3\/3 - 4*t**2 + 35. What is the second derivative of d(h) wrt h?\nAnswer: -336*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2 - 3 - 30*y**2 + y**3 + 31*y**2 - 4*y + 3*y. What is q(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10578 and 54038.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-1 - (2 - (6 + -1)))*-3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2. Let i be 6\/8 + 7\/((-28)\/3). Let a(t) be the second derivative of 0 - t + 1\/3*t**3 + i*t**2. Give n(a(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/260*150\/18*4\/(-10)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 34*p - 216. Let h be z(21). What is the greatest common divisor of h and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4731.1 and 680379.\nAnswer: 675647.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -11*c - 3\/20*c**2 + 1\/15*c**3 - 1\/120*c**4 + 0. Let s(t) = 0. What is t?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y + y. Let j = 8 - 2. What is the remainder when y\/((-1)\/(-17)) - 0 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 777 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00197 or -1966\/5?\nAnswer: -1966\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 5*i - 2. Let h be (1*-1)\/(9\/(-54)). Let o be y(h). What is the greatest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2*w**3 + 3*w - 20. Let b(n) = 7*n**2 + 4. Suppose 2*q = -2*r - 12, -3*q - 14 = -2*r + 4*r. Calculate r*j(f) + 3*b(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1714*z = -1723*z + 8631. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 692 and 3460?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/149 + 3079\/1490. Let a be ((-366)\/(-10785))\/((-104)\/160). Let y = a + 2\/2157. Find the common denominator of i and y.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w + 1. Is 9 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3884*k + 32172 = -3118*k for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {j: 1, o: 2, c: 2, g: 1, u: 1, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15422608 divided by -3855652?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 302739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5\/9, 80, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 631408, 631453, 631526, 631627?\n\"Answer: 14*m**2 + 3*m + 631391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31500530 - 2?\nAnswer: 31500524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1708?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*g**4 + 159 with respect to g.\nAnswer: 540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2. Let n(a) = -9841516*a**2 - 8*a. Give n(l(k)).\nAnswer: -39366064*k**4 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 344323270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -33 (c) 2\/7 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 57388*x\/5 - 57398.\nAnswer: 2*(x - 28699)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*z - 8, 5 = z + 9. Suppose t*n = 2*n + x - 120, 0 = -5*n + 3*x + 311. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639855 = 37491*w - 37482*w. List the prime factors of w.\nAnswer: 5, 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = -7. Let z = 1 - k. Suppose -3*m = -z*m - 10. Let w(f) = f**3 + 2*f**2 - f. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 75. What is the closest to 2\/3 in 0.21, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*p + 115 - 115)*(-p**2 + 1 - 1 + (4*p + 0*p - 2*p)*(p - 7*p + 2*p)).\nAnswer: -288*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 1\/13, 26, 1\/5, 2\/11?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/125*((-16450)\/(-141))\/70.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/(o*(o*o\/o**6)\/o)*o*o**8\/o*o*o\/(o\/(o\/(o**(-1)*o))))\/((o\/(o*o\/(o*o**(-1\/3)*o))*o)**(-1\/7)\/(o**3*o*o*o**(-2))) assuming o is positive.\nAnswer: o**(257\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**3 - 2*y + 2*y)*(-212*y - 1198 + 2402 - 1203) to g*y**4 + u*y**3 + p*y + l + w*y**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - q - 2. Let y be u(4). Suppose -3*b + 8*b - y = 0. Factor 3*j**4 + 5*j**b - 3*j**2 - 5*j**4.\nAnswer: -2*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-5)\/(-9))*(-22)\/99?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p**3\/19 - 695644*p**2\/19 - 1483912*p\/19 - 185488\/19 = 0 for p.\nAnswer: -23186, -2, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 70.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s - 12*s - 8*s - 13*s - 10*s + 5*s**3.\nAnswer: 5*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*j + 164*j + 100 = 0. Solve -26*b = -21*b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1726)\/(-88)*35\/1960. Let w = i + 3\/224. Factor w*h**4 + 0 - 4\/11*h**2 + 0*h**3 + 2\/11*h - 2\/11*h**5.\nAnswer: -2*h*(h - 1)**3*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2143 + 679 = -187*l - 272*l + 12920 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201112222 (base 3) in base 4?\nAnswer: -31011311","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10) - -1)\/(96\/(-1440))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25656*h**2 - 52436*h - 2248.\nAnswer: -4*(h + 2)*(6414*h + 281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13504, 13418, 13332, 13246, 13160?\n\"Answer: -86*f + 13590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b + 16, 4*b = -4*y + 44. Are y and 14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230.21875 - 230. Let v = -0.219 + j. What is v rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/(k*k**5))**(-30\/7) assuming k is positive.\nAnswer: k**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 1388337?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 11 + 7 = 0. Solve 4*q + w + m = -w, -w = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13305 is divided by 3116.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3155589423 to the nearest integer?\nAnswer: 56175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6) + 80\/480\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -15, -26, -31, -24, 1, 50?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28.6 - 0\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8001961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -8 + 12 + -11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.8 - 34. What is the biggest value in 3, h, -25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39570.3 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 117. Calculate the least common multiple of 213 and r(42).\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 5*b**4\/4 - 12*b + 7. What is the first derivative of s(f) wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-18)*3)\/((-2)\/(-9)). Let o(g) = -33*g + 20*g + 6*g**p + 20*g**2 - 7*g**3. What is the hundreds digit of o(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvtnnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189018247 - 9.\nAnswer: 189018238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/3339 and 109\/5952?\nAnswer: 6624576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938953 is divided by 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -171. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 122*m**2 - 503*m + 135. Determine z(-126).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 78 = -2*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.74801ml to litres.\nAnswer: 0.00474801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**3 - 4*f**2 - f - 6. Let x(p) = -3*p**3 - 2*p**2 - p - 3. Let a(y) = 4*i(y) - 9*x(y). Let l(w) = w**2 + 9*w + 12. Let r be l(-8). What is a(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, h: 1, d: 1, o: 1, l: 1}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 19*q + 34. Let y be o(17). Let d(w) be the first derivative of -4\/3*w**3 - 1\/2*w**2 + y*w + 1. What is the second derivative of d(u) wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkxhkxkkknnkx. What is prob of sequence kknh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 6 = -2*n, 32*p - 30 = 35*p + 6*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.308 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 3. Let y be v(0). What is the derivative of -2 + 6*w**y - 2 - 8*w**3 wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1030132*v. Let k(q) = q. Give k(h(g)).\nAnswer: 1030132*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.21774?\nAnswer: -0.87096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.76 and 18.\nAnswer: 247.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*y + 4*o - 25 + 1 = 68*y, -5*o + 38 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 105.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 60600?\nAnswer: 666600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 32*x + 11. Let p be r(-11). Calculate the greatest common factor of p and 330.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(40)\/(sqrt(8) + 2*sqrt(8)) - (sqrt(35) + 2*(sqrt(105)\/sqrt(3) - sqrt(35)) + sqrt(35))\/sqrt(7).\nAnswer: -5 - 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrumnxuruxnxrrrnumm. What is prob of sequence rr?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f - 29*f - 4 = 0. Solve f*h + 0*h = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from {t: 4, y: 1, b: 4, f: 6}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.337421385 rounded to three dps?\nAnswer: 1.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 7, n: 1, g: 2, z: 4}. What is prob of picking 1 a, 1 z, and 1 n?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -5)*4\/114. Let o = w - -29\/133. What is the second biggest value in 3\/4, o, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -42, -50, -42, -6, 70, 198, 390?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**7\/3150 + f**6\/600 + f**5\/300 - 137*f**4\/6 + 6*f - 29. Let s(t) be the third derivative of k(t). What is u in s(u) = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k**4 - 29*k**3 + 4*k**2 - 997. Let h(s) = 2*s**4 + s**3 - s**2 + 1. Let v(u) = -a(u) - 4*h(u). Differentiate v(x) wrt x.\nAnswer: 24*x**3 + 75*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 21*d. Let h be -465*(4\/6 + -1). Suppose 5*n + d*n = h. Calculate the remainder when 183 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 837928 and 33943.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -7, 5, -1, -4 in descending order.\nAnswer: 5, -1, -4, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 21*p**2 - 29*p - 90. Let u be z(-22). Let b = u - 64. Solve b = j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1546396.61 and -1267011.\nAnswer: -2813407.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22832486609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let c(f) be the first derivative of 7*f**4\/12 + 2*f + 17. Let m(i) be the first derivative of c(i). Give m(a(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 + -218. Let i = 28603\/6 + -4755. Find the common denominator of i and (220\/(-56) - -4)*(1 + d).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4382 + 7279. Suppose -2*t - 631 + 1794 = -3*l, -5*t - 3*l = -y. Does 77 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040504 and 226.\nAnswer: 1040504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.1 + -348.1. Let r = -7490.4029 + 7155.389. Let x = r - v. What is x rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*t**2\/3 - 279130*t\/3 + 26584.\nAnswer: -(t + 39876)*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20010442 (base 5) in base 4?\nAnswer: 212111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/60*(-10)\/(-75)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 4\/(-6)*(-15)\/4*12?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 122.1\nAnswer: -108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42775 and 3?\nAnswer: 42772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2102909*y - 590947*y - 2522372*y - 91861*y.\nAnswer: -5308089*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/20)\/((-9)\/6). Let r = -3 + 8. Let s be (-1 - 3) + r + -3. Which is the third biggest value? (a) -1\/3 (b) s (c) -4\/7 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 2*r**2 + 2*r - 2. Let p = -2 + 4. Let i be w(p). Let f = 6 + i. Solve f = -o - 0 + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -681.86 - -102.56. Let a = x + 579. Is 4\/59 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 142\/36*(-1 - (-2)\/4) and -31\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:05 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 494, 941, 1782, 3149, 5174, 7989, 11726?\nAnswer: 16517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(65) + (sqrt(65) + -2*sqrt(65) + sqrt(65) + sqrt(65))*6)\/(4*-3*sqrt(5)).\nAnswer: -7*sqrt(13)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468782 is divided by 138?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 21. Let k be v(11). Let t be (k*(0 + 0))\/(-28 + 31). Suppose 5*u - 15 = -t. Solve -6 - 14 = 4*f + 5*m, -u*f = 3*m + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60419, -241309, -542793, -964871?\nAnswer: -1507543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:58 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j + 5. Let d(b) = b**2. Let u be d(2). Is 10 a factor of q(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*v - 21*v - 3530. Let q = 1854 + v. Suppose 152 - q = -4*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3\/6 - 2*f**2 + f. Suppose -113*c + 116 = -142*c. Let z be h(c). Solve -4*m + 2*q + 4 = z, 4*m = -q - 3*q + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42\/11 - 104\/33. Let m = -0.4 + 0.32. Let o = 0.08 + m. Sort y, -0.2, o in decreasing order.\nAnswer: y, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - t**3 - 6 + 2*t**2 - 3 + 2*t**2 + 2*t**2. Let p be n(6). Suppose -2*d - p*d + 31 = a, 2 = d - 4*a. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*a - 7*a + 9*a)*(3*a**2 + 0*a**2 + 0*a**2) - 2*a**3 - 3*a**2 + 3*a**2 - 2*a**3 + a - a + (3*a**3 - 2*a**3 - 2*a**3)*(1 + 2 - 1).\nAnswer: -81*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16739 to three dps.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -18*p. Suppose n - 3*h - 14 = -6, -n = -5*h - 14. Let d be (-1 - 0\/n)\/1. What is k(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 1, -9\/190, -0.653, 5.\nAnswer: -0.653, -9\/190, 2\/19, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from pnrpass.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/55, 1\/2, 2\/5, -4 in descending order.\nAnswer: 1\/2, 2\/5, -2\/55, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3395350580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 92616025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 7 - (77330\/(-37))\/(-38)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 p when three letters picked without replacement from kkpknkynkiyy.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/13 - 101484*p**3\/13 + 101482*p**2\/13 = 0. Calculate p.\nAnswer: 0, 1, 50741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (15 + -18 + 10).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 - 7*t**2 - 7*t - 12. Give q(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 1, o: 1, i: 2, g: 1}. Give prob of picking 1 i and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 2. Let w = -89767\/5 + 18037. Let s = w + -84. Which is the closest to -2? (a) n (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 46\/3 (b) 0.5 (c) 2\/9 (d) 2\/17 (e) -5 (f) -0.35 (g) -0.0299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2. Let i be c(1). Solve 6 + i = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 + 1 = 0. Is (3453\/(-12))\/(q\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13. Let n(g) = -g + 12. Let h(u) = -6*n(u) + 5*s(u). Let w = -148720 + 148726. What is the lowest common multiple of h(5) and w?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p**2 - 127*p + 127*p.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 6*p + x - 117 = 0, 919 = 5*p - 4*x + 1114 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29092*g**4 - 124*g - 9 wrt g.\nAnswer: 349104*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -683.17247 plus 5365?\nAnswer: 4681.82753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000836115314 to five decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1667, -3279, -4877, -6455, -8007, -9527?\n\"Answer: t**3 + t**2 - 1622*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 971 - 161. Suppose -4*p + 241 = -p - 4*m, 2*p - d = 3*m. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*n - 168 = -1211 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*w + 98. Let g(c) = -c**3 - 6*c**2 - 4*c + 7. Determine g(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i + d = 3, -4*i + 33 = -5*d. Suppose 5*y = -i*y - 2*y. Solve -4*g + 0 + 8 = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58.5 at least as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -756?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from ixmcxmr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -84. Find the second derivative of 17*n**4 - 6*n + 20*n**4 - 20*n + y*n wrt n.\nAnswer: 444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u - 2*u. Suppose 0*p - 4 = -p. Solve -b - u*r = -6*b + 2, -p*b = -4*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73.0178 - 73. Let j = 0.0178 - z. Let n = 9 + -14. Which is the closest to j? (a) -0.3 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3910928.\nAnswer: 2, 7, 34919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.056 + -4.156. Let w = -3976186.3 - -3976190.40000024. Let s = w + t. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1213 and 37\/2?\nAnswer: 2426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2)*w**(1\/4)*w**(-3)\/(w**3*w) assuming w is positive.\nAnswer: w**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47286539 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10831.53mg to tonnes.\nAnswer: 0.00001083153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*p + 7, -5*p + 7 = k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -7*q + 3*q - 37, 4*i = 3*q + 59. Is -13 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2034 - (0\/(-2) - -1). Let s be v\/(-66) + 2\/12. Find the second derivative of -7*j**2 - 4 + j + 26*j**2 - 5*j + s*j**2 wrt j.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4392 and 33024.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*c**2 - 233*c**3 + 160*c**2 - 74*c**2 + 2*c in the form u*c**3 + n*c**2 + z + w*c and give u.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a58b (base 14) in base 2?\nAnswer: -100001101100100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065 = 5*m - 8*a - 915, 2*m - 3*a = -59 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, 377, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -974\/9 + 968\/9. Which is the second smallest value? (a) 18 (b) -1\/3 (c) -0.2 (d) z (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20035 - 19264.04. Round o to the nearest ten.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 0.042, 0.105, -4, -573?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = 4*c + 2. Let b be ((-32)\/c)\/((-3)\/(-8)) - 1. What is the biggest value in 2, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s + 126*s = -407*s - 8967 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16900?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 107697423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0*y - 1\/8*y**4 + 53\/60*y**5 + 1\/2*y**3 + 0 + 23*y**2. Is p(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - ((sqrt(45)*2)\/sqrt(9) - sqrt(5)) - sqrt(15)\/sqrt(3)*5)*6)**2*-5.\nAnswer: -22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - 4*t + (1 + 2*t - 1)*(-2 + 1 + 2))*(39*t**4 - 40*t**3 + 40*t**3).\nAnswer: -117*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 2*j**2 - 2*j + 1. Let d(a) = 4*a**3 + 2*a**2 - 2*a + 4. Determine -c(t) - d(t).\nAnswer: -5*t**3 + 4*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 17 = 3*p, 5*h + 2*p + 10 = 6*p. Suppose 63 = h*l - 3. Suppose 25*q**2 - 4*q**2 - 1900 - l*q + 1882 = 0. What is q?\nAnswer: -3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-3 - (-1 - 3))) + 69 + -72\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 56 = 4*m, 0*m + m + 56 = 4*l. Suppose 36 - 660 = -16*f. What is the remainder when f is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(20*9\/18). What is the nearest to -2 in -4, m, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/7 (b) -2\/3 (c) 5\/4 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1447?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 17 - 16*n - 18*n + 22 - 7.\nAnswer: -45*n + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3011114 - -34?\nAnswer: -3011030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(180) + 1 + 3.\nAnswer: 8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -14 + 3 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - (-26728)\/12 - 1\/3?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 28. Let t be q(2). Solve -t*b + 10 = 0, -3*a - 2*b = -4*b + 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 + 104*v - 86 + (1 - 1 - 3)*(9*v + 7*v - 2*v) to p*v + y and give p.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009597527 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13015 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -230. Let x = -79.9 - q. Which is bigger: x or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -3, -22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.07 - -15. Let u = m + -0.13. What is the biggest value in 3, u, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0198279 rounded to 5 dps?\nAnswer: 0.01983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2163? (a) 2\/3 (b) 0 (c) 0.4 (d) -531 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 3, 0.2, -1, 479?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p - 1. Let z be u(-1). Let g(v) = 12*v - z - 8*v - 6*v. Let h(k) = -9*k - 13. Determine 26*g(j) - 6*h(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let s(w) = 1569*w**2 - w - 160. Give s(p(f)).\nAnswer: 1569*f**4 - f**2 - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20104 (base 6) in base 15?\nAnswer: ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 22. Let d(s) = -4*s - 3. Let o be d(-3). Let x = o - k. Is x smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + -62. Is u\/(-8)*(-2694)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -432*b + 51369. What is k(120)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23436406 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*c**2 + 1764*c**2 + 853*c**2.\nAnswer: 2476*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/(l\/(l*l\/(l\/(l\/(l\/l**3))))))**(1\/26))**2 assuming l is positive.\nAnswer: l**(23\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440777379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q + 0*q**3 + 0*q + q**2 - 2 + 3. Let s be r(-1). Is s less than or equal to 5\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/756 and -37\/7740?\nAnswer: 162540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 63, 88, 113?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*l - 5*l + 25, -2*y - 18 = -2*l. Which is the nearest to -3? (a) -1\/5 (b) 1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 3. Let o be q(2). Let b = 135 - 95. Let f = b + -40. Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yonnhnrrn. Give prob of sequence rh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (3 - (5 + -3)). Let f(y) = -y**3 + 3*y**2 + y. Let k be f(w). Solve -4*m - r + 3 + 4 = 0, r - k = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-16)*((-2)\/(-7))\/(1026\/4788)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8) - -2*sqrt(8)) + sqrt(3) + sqrt(15)\/(sqrt(5)*-1) + 4 - (3 + -1*sqrt(48))**2.\nAnswer: -53 + 73*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -0.1 (c) -48 (d) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110 and -2.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 + 126. Suppose 6*b - 59 = -g. Solve b*t = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from oooaaooa.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c)\/(c**18*c*c) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 13*l**3 - 17 + 19 in the form s*l + p*l**2 + o*l**3 + z and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 39*a**4 + 2*a**2 - 19*a + 2. Let n(l) = 115*l**4 + 5*l**2 - 57*l + 6. Let y(v) = 11*h(v) - 4*n(v). What is the second derivative of y(t) wrt t?\nAnswer: -372*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/7)\/(-10) + -1 + 1668 - -2. Calculate the highest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5080, 2, -9 in descending order.\nAnswer: 5080, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.052 * -1410423\nAnswer: -73341.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9202233.\nAnswer: 3, 37, 82903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10684 divided by -492?\nAnswer: -2671\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -13\/4 (b) 0.21 (c) 5 (d) -0.118 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = 3*d, -5*l + 5*d + 50 = 0. Suppose l*m + 4*p = 24, -1 = -m + 3*p - 0. Suppose 4*y - 768 = -2*c, 2*c - 390 = c + m*y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327990244 to the power of 1\/3, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1*-76 - 36*58\/2088)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 56*z - 24. Let t(f) = f**2 - 28*f + 14. Calculate -6*m(h) - 10*t(h).\nAnswer: 2*h**2 - 56*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -983 = -4*i + 3*t, -2*i + 721 = i + t. Calculate the highest common divisor of i and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-4) + 10*1. Suppose 189*i - 220*i + 217496 = 0. Suppose -k*p + 4*p = -i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*x + 2)*(3 - 4 - 1) + 3 + 3*x - 3 - 3*x + 2*x + 0*x - 6 + 6 - 8*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*83\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/13, 0.4, 46 in increasing order.\nAnswer: -2\/13, 0.4, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 207, 194, 181, 174, 179?\n\"Answer: g**3 - 6*g**2 - 2*g + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35, 65, 81, 77, 47?\n\"Answer: -c**3 - c**2 + 40*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 + 4*n - 7. Let c be j(3). Suppose 2*u - p - 7 = 0, 3*u = c*p - p + 13. Solve 0 = u*i + 9 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2 - 106\/(-54))\/(439\/(-1317)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 14*g + 17. Give j(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4822408*x**3 + 45*x**2 + 47931*x wrt x.\nAnswer: 28934448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/8))**2)**19 assuming k is positive.\nAnswer: k**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0*q**5 - q**5 - q**5 + 0*q**5 - 4*q**5 + 3*q**5 + (-4*q - 2*q**2 + 4*q)*(-2*q**3 + 7*q**3 - 3*q**3) - 3*q**5 - q**5 + 2*q**5).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y**2 + y - 4 + 2 - 3. Let a(h) = 16*h**2 - h + 6. Let g(p) = -6*a(p) - 7*q(p). What is the remainder when 46 is divided by g(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.24*-1\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254412.\nAnswer: 2, 3, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0008 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 417 + 220 - 6*u + 12*u + 266 - 4*u.\nAnswer: -u + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2.7538062\nAnswer: -2.7538062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.2. Let n = 39\/2 + -19. Which is the nearest to n? (a) 2\/3 (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000345999 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f - 5. Give r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/((-4)\/228). Suppose -3*j + 2*j + 4*d = 21, -5*j + 3*d = 37. Let k = v + j. What is the greatest common divisor of 56 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.012064 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1519298, -3038591, -4557896, -6077219, -7596566, -9115943?\n\"Answer: -t**3 - 1519286*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 5*w + 3. Suppose 4*f = 12, -4*o + 0 = 3*f - 1. Let s be (-4)\/1 + o - -2. What is y(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 14. Let n = 12 - m. Calculate the highest common divisor of 28 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3\/s)**11 assuming s is positive.\nAnswer: s**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**3 - 226*a**2 + 1088*a + 7680.\nAnswer: 2*(a - 16)**2*(4*a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (5 + 1*sqrt(243)))**2 + -2 + -2 - (5*(sqrt(432) + -1 + sqrt(432) + -1) + 3)**2.\nAnswer: -43228 + 1680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/573, 21, 9 in descending order.\nAnswer: 21, 9, 2\/573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, -1, 1 in descending order.\nAnswer: 21, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 153, 146, 139, 132?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11288120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 41) + 4 + (-5 - -38).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 943 and 5204417?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15145 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 229.76 and 4115.\nAnswer: 945462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (-1 + 0 + sqrt(245)))**2 + (sqrt(245) - (-2*sqrt(245)*-5)**2))*-4.\nAnswer: -28*sqrt(5) + 97996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 9*l**2 + 15*l + 25. Determine h(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - r - 5 + (2 - 3 + 3)*(54 - 54 + 11*r).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:37 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12284 - 12285. What is the second biggest value in 2\/5, 0.124, b?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -25. Let q = -6 - g. Sort 1, 2, 0, q.\nAnswer: 0, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2409074095 to the nearest integer?\nAnswer: 49082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/234706?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/81 + (-448)\/(-63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/12131 and -85\/79718.\nAnswer: 558026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l**2 - 2. Let n be k(-3). Let z = -1855 - n. Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -545, -1218, -2159, -3368, -4845, -6590?\nAnswer: -8603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18628 (base 10) in base 13?\nAnswer: 862c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.149685t in kilograms?\nAnswer: 8149.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -58. Let g(f) = -f**3 + 3*f**2 - 2*f + 2. Give g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5972 - -6324. Calculate the greatest common factor of p and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - f = 3*k - 8, -28 = -2*k + 5*f. Let p = 220381 + -220374. Solve -z - k*q = -2*q + p, 0 = 5*z - q - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)\/t*t)**(2\/57)\/(t**(1\/3)\/(t\/t**15)))**(1\/9) assuming t is positive.\nAnswer: t**(-2449\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from oxooooxxooo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 11. Let s be n(8). Let m be (2 - -13) + -2 - s. Let i(l) = -l**2 + 14*l - 8. Let a be i(12). Calculate the greatest common factor of a and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -992.2142 and -0.06.\nAnswer: -992.2742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 9 (c) -145\/6 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39930, -80104, -120528, -161202, -202126?\nAnswer: -243300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1024?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Is (-478)\/(-4 + s - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20110 (base 3) in base 4?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*l = 42, -3*l - 28 = -c - 0*l. Solve 5*b + c = -7, -v - 4 = b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 6*f - u - 21 = 0, 4*f - 15 = -3*u. Suppose -2*x - 4*p = -4*x + 20, x + 5*p = -25. Suppose 6*a = -x*a - 3*a. Solve a = -4*v + 6 + f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*v + 2 = 0, 5*v = -0*v - 20. Solve r*i + 12 = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 421*y = 424*y - 17, 0 = -y - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 1053?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962650917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-10) - 1\/(-5). Let i(c) be the first derivative of 5 + 7 - 4 + 2 + q*c**2. Let b(x) = 2*x. What is i(b(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.0712 - 0.0712. Which is the nearest to -0.1? (a) h (b) 5\/6 (c) -2\/3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 6*m. Let s be 2 - 6 - (-1 - -3). Let l be 3 + 2\/(s\/(-9)). Let k be r(l). Solve k = -x - 2 - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*r - 5*r**2 + 3*r**2 + 8556*r.\nAnswer: -2*r**2 + 8983*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3821197 divided by -1613\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**4 + 37247*u**3 + 27932*u**2 - 9311*u = 0.\nAnswer: -9311, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -278 + 1205. Suppose 0 = -3*k + 2*d + 152, -2*k + d + 0*d + u = 0. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o - 18. Let j(u) = 3*u - 6. Let z(g) = 7*j(g) - 2*m(g). Let r be z(7). Which is the smallest value? (a) 2\/15 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69, -125, -213, -339, -509, -729, -1005?\n\"Answer: -p**3 - 10*p**2 - 19*p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 852971 and 243706.\nAnswer: 1705942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 4cd277?\nAnswer: -4cd270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-116)\/145 - (-34)\/5 - -12*47. What is the greatest common factor of i and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5\/7 (b) 1 (c) 0.4 (d) -24 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**3 - 9*o**2 + 33*o**3 + 234*o + 8*o**2.\nAnswer: 17*o**3 - o**2 + 234*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let n(h) = 1990*h + 7. Determine -n(w) + 4*s(w).\nAnswer: -1994*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 5*a**2 + 7*a - 2. Let n be (-4 + 4)\/1 + 176. Let o be ((-18)\/(-8))\/(66\/n). Calculate the smallest common multiple of 18 and c(o).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1) + (-19)\/(95\/(-90)). Which is smaller: m or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*q - 3*q = 13, 5*j + 152 = 4*q. Let t = j + 42. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -71. Is 9 a factor of 8\/w - (-72)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjx when four letters picked without replacement from {j: 5, k: 7, x: 3, n: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.4252 micrometers in meters?\nAnswer: 0.0003074252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by -1130343.\nAnswer: 27\/376781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Let p(k) = k - a*k + 3*k - k**2. Let j(g) = g**2. Give j(p(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + -7 - (-30 - -27)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/40 - 302820\/2800 - -34.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**10*c)\/c**(3\/8)*(c\/(c**(-6\/7)*c))**(-42))**(-23) assuming c is positive.\nAnswer: c**(4485\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 32735*h + 360087. What is f(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 32 = -r, 2*r + 28259*c - 28258*c + 20 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55342946 - 2?\nAnswer: -55342948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 224860195 to the power of 1\/4, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*w - 0*n + n, -5*w - 4*n + 32 = 0. Suppose -10 = -y - w*y. Suppose l = 4*a + 26, 5*l - y*a - 36 = 4. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50143300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 - 5*d - 228. Give v(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 - 3.4. Let o = 1.9 - p. Let j = 0.3 + -0.5. Which is the biggest value? (a) j (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-839)\/(-4) + (-18)\/24. Let t(o) = -91*o + 59. Let b be t(-6). Suppose -y + z = -z - g, b = 3*y - z. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11 - 4*d + 0*d - 6 - 12*d**2. Let c(u) = -u - 1. Let m(n) = -4*c(n) + z(n). Differentiate m(r) with respect to r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 + (39690\/(-132) - 2). Let i = w - -304. Let y be (-3)\/(-12) - 6\/8. Put -0.07, y, i in increasing order.\nAnswer: y, i, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -20*j**2 - 696*j - 7. Determine f(-35).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4254 + -12554. Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/45864 and -37\/149058.\nAnswer: 596232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035607809 rounded to five decimal places?\nAnswer: 0.00356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/39*(-32)\/(-16)*(-610)\/(-20)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(49\/(-2))*(-6)\/(-4) - (-38582)\/83426?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqjz when four letters picked without replacement from {y: 2, g: 4, z: 2, q: 4, j: 8}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 207.5.\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*y + 63*y - 79*y)*(-1 + 3 - 3)*(-y**2 + 0*y**2 + 0*y**2) in the form m*y**3 + r + j*y**2 + h*y and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -68.5 (b) -5.4 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = o - 5*s, -2*s - 58 - 218 = -4*o. Calculate the remainder when 207 is divided by o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12693 - -12707. Solve -l + 4*q = -z, -5*l + q - 2 = -15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 0*o - 2*o - 2*o**2. Let f(y) = -92*y - 1198. Let b be f(-13). What is k(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21100 (base 3) to base 10.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = p + 4*u, 0 = -4*p + 8*u + 6*u + 6 + 144 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(44) + 3*sqrt(396))\/sqrt(4) - (-2*sqrt(1584) + sqrt(1584) + -5)).\nAnswer: 10 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10700112 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u - 2. Let x = -111 - -57. Let t be 7 + x\/7 + 4\/(-14). Let k be d(t). Is k >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4 = -570*v + 573*v, 7 = 4*v + t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.296529 and 1.483.\nAnswer: 1.779529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919616 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 973.77 and 0.5.\nAnswer: 974.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9867709*m - 14549695 wrt m.\nAnswer: 9867709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3684828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -366.7 - -366.6. What is the nearest to 2\/3 in l, -58, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 13) in base 12?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -396 in descending order.\nAnswer: 6, -4, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -48*y**2 - 15*y. Let p(k) = -12*k**2 - 4*k. Let q(l) = -9*p(l) + 2*w(l). Find the second derivative of q(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(9\/2)\/u*u**(2\/5))\/(((u**(-3)*u)\/u)\/u*u)**(1\/44) assuming u is positive.\nAnswer: u**(873\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128007)\/2586*6\/(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1182\/197)\/(((-27)\/2)\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 15776546?\nAnswer: -15776542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -24189 in decreasing order.\nAnswer: 0, -3, -24189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 27. Let z be s - -10 - (2 + -3 + -2). What is the smallest value in -6\/11, z, -0.2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 5*y - 4. Let z = 3 + -6. Let w be x(z). Solve -4*t = -4*g - 8, g = w*t - 2 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 105 = -4*s. Suppose -v + 2*v + 3*z = 23, 2*z + s = v. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2567 divided by -1.\nAnswer: 2567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**3 - 2*c**2 + c. Let i be l(1). Let x = 6 - i. Suppose -2*d = -8, -x*d = 3*r - 0*d - 41. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14033*k + 12437*k + 13420*k + 1 - 2.\nAnswer: 39890*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042001071?\nAnswer: 1042001071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -6 + -1 + 2)\/1. Suppose 0 = 5*w - 4*b - 102, b + 69 = 4*w + j*b. Let t = 8 - 6. Calculate the highest common divisor of w and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24142400 to the nearest 100000.\nAnswer: -24100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1751 + 1748.958. Let p = -93.042 + 93. Let i = p - n. Which is the third biggest value? (a) 0 (b) i (c) 1\/3 (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.64965 + -546.62965. What is d rounded to the nearest ten?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19718 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166848966 is divided by 1281.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -58*1\/(-2) - -2. Suppose 0 = -4*o + y - 7. Let v(d) = -d**2 + d. Let u(g) = 7*g**2 - 5*g**2 - g - 2*g. What is o*v(f) + 2*u(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 4:28 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23*o**2. Let q(a) = -a + 1. Let j(z) = -3*z + 2. Let g(r) = 2*j(r) - 4*q(r). Calculate x(g(i)).\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -14. Solve -6 = 3*u + 3*r, 2*u - j*r + 3 = -1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*j - 12 = 0, 2*q = 5*q - 3*j + 12. Suppose 3*z - 2*a - 159 = q, -4*a + 159 = 2*z + z. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-4 - 3 + 1)*(-3*w + 4*w + 6*w) to the form q*w + c and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96472 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 28. Let w(a) = -a**3 - 17*a**2 - 55*a - 34. Let q be w(-13). Solve q*c = m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -9\/5, -0.2 in descending order.\nAnswer: 9, -0.2, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 4*c = -5*h - 16, 20 = 4*h - 2*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 72.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/13 - (-22)\/(-26))\/(-1). Let p = -9 + 8.9. Which is the closest to p? (a) 18 (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140432 != -140431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3200 = 2*p. Let c = 4011 - p. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/(((p**(-3)*p)\/p)\/p))\/(p**2\/(p**(3\/4)*p*p)))\/((p\/(p\/p**0)*p)**(-8\/7)*(p**(1\/3))**(-44)) assuming p is positive.\nAnswer: p**(2147\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 38 in decreasing order.\nAnswer: 38, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 27*b**4 - 133*b**4 - 25*b**4 + (-b + b + 2*b)*(-b**3 - 12 + 12) to h*b**4 + o*b + f*b**2 + d*b**3 + x and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/3*5)\/(554\/(-277))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (((sqrt(832) - 3*(2 + sqrt(832)) - (3 + 1*sqrt(832) - sqrt(832))) + 4)*-3)**2).\nAnswer: 5760*sqrt(13) + 120720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 907977 - 907975. Factor -3\/2*u**r - 30*u + 0.\nAnswer: -3*u*(u + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 2982*q**2 - 2*q + 3018*q**2 + q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -2cdb?\nAnswer: -2cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8747821\nAnswer: -8747820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*g**3 - 1573*g**2 + 37*g + 1573*g**2 wrt g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3056899 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-1504)\/40)*115\/207. Factor p*j + 5\/6*j**2 + 8.\nAnswer: (j + 24)*(5*j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24140 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -378, -562, -742, -918, -1090, -1258?\nAnswer: -1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -241*b + 369*b - 122*b. Let d(h) = 14*h + 6. Let v(o) = 42*o + 17. Let p(t) = -17*d(t) + 6*v(t). Calculate k(p(n)).\nAnswer: 84*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 8*n**2 + 6*n - 3. Give f(4).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than -2\/545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let n be (1 + 1)*(5 - 3). Suppose 18 = -n*r + 5*k, -4*r + k - 11 = -1. Let x(p) = -5*p + 1 + 3 - 5. Determine r*x(y) + 11*b(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, 5, 17, -3, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, u: 3, e: 1, t: 2, l: 1, r: 1}. What is prob of picking 1 r, 1 y, 1 t, and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*-4*(-121)\/88*2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -37*i. Let a(f) = -9911*f. Determine n(a(p)).\nAnswer: 366707*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1\/2, 1 in descending order.\nAnswer: 1, -1\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - (34 + -85) - (-9 + 0 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1746198 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eighty-five quarters of a second?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -760*k*n*o**2 + k*n - 2*k*o**2 - 123*n - o**2 with respect to k.\nAnswer: -760*n*o**2 + n - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1870c (base 16) to base 4\nAnswer: 120130030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*s + 30 = -41, 4*s = 2*p - 6. Calculate the remainder when 2011 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1653 and 77169.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000108741481 to seven dps.\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24105799*t**2 - 24750884*t wrt t?\nAnswer: 48211598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4401, 8806, 13197, 17568, 21913?\nAnswer: 26226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(18594\/(-272712)) + (-790)\/36\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 9*s**2 + 2*s + 5. What is t(-4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 17 = 5*y. What is the greatest common factor of y and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + 5 - 20108\/5760 - 4\/(-10) and -113\/1280?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.52 + -42.22. Which is the closest to 1? (a) w (b) 0.05 (c) -1 (d) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 3*n. Suppose -4*s + 4*f - 7 = s, -n = f. Suppose 4*w = 3*t - 6, 2*w + 4 + 2 = 0. Put s, 2, t in descending order.\nAnswer: 2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68648*c**4 - 4*c**3 - c**2 - 10243571*c.\nAnswer: -823776*c**2 - 24*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11018599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -66, -63, -60, -57?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -213, -607, -1175, -1917, -2833, -3923, -5187?\n\"Answer: -87*u**2 - 133*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114974*b - 114974*b - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (-3 - 118))*139. Suppose -4*z = 5*l + 13139, -4*z + l = z + y. Let c = 4930 + z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 9078136?\nAnswer: 72625088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 15*x + 26. Determine n(14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from knknkxkkkk?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81915 - 52014. List the prime factors of v.\nAnswer: 3, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-8) + (1 + 0 - (-45)\/1836*-51)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 3. Let a be (2 - 1) + (-14 - c). Let x be (-2)\/a - (-11)\/(-9). What is the nearest to x in 4, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*t**2 + 0 - 4\/3*t**3 - 4\/3*t = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Let s be -6*(q + 14\/(-6)). Let p = -3135\/13 + 241. Which is the third smallest value? (a) p (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-81 - -74) - (0 - 6 - 3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1640 + -1639.8. Let r be 18\/(-45) + 644\/10. What is the second smallest value in -0.3, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/4 - 1034545*h - 1070283357025 = 0. What is h?\nAnswer: -2069090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172 + 7*s + 2*s + 7*s - 6*s - 7*s to the form p + q*s and give p.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 4*y - 2. Let b be p(-1). Suppose b*v = u + 3*v + 17, -3*u - 3*v = 69. Calculate the remainder when ((-4)\/5)\/(u\/750) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + -40606.\nAnswer: -40622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562 + -562.0295. Let z = h - -2.1315. What is z rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -50. Suppose b = -4*w + 5*w + 5, -25 = -4*d - 3*w. What is the highest common divisor of d and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z. Let b be v(0). Let g(c) = 0*c**2 + 2*c**2 - 5 + b. Calculate the remainder when 50 is divided by g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5445952 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phhhpphhhhhhhphhphh. What is prob of picking 3 h?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/18)\/(((-45)\/(-12))\/(8\/(-16)))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.00676, 6, -10\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + -139614628\nAnswer: -139614628.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/263, -0.035, 0, -16\/7 in increasing order.\nAnswer: -16\/7, -0.035, -2\/263, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -542831 or -542835?\nAnswer: -542831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 2*o**3 + 71 + 2 + (3*o**2 + o**2 - 3*o**2)*(o - 2 - 1 + 1) to s*o**3 + f + g*o + d*o**2 and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**(5\/3)\/c)\/c))\/(((c\/(c**(3\/4)*c*c))\/c)\/c))\/(c\/(c**1*c))**48 assuming c is positive.\nAnswer: c**(637\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 4*y - 2. Let d(h) = -11 - 20*h + 12*h + h**2 - 12*h**2 - 15*h. Calculate -6*d(c) + 34*w(c).\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 10053*v + 130467. Determine c(13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -342514001 + 1?\nAnswer: -342514000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 469796, 939590, 1409384, 1879178, 2348972?\nAnswer: 2818766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66254 times -0.054?\nAnswer: -3577.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.063809 - -1915089?\nAnswer: 1915084.936191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k - 32*k - 8 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-5)\/(-15) - 49. Let b = i - -90. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 3*i**3 + 3*i**3)*(-12614*i + 26 - 4633*i - 26 - 7078*i).\nAnswer: -24325*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, -3, 6, -11 in increasing order.\nAnswer: -11, -3, 6, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let z = 110\/3 - 1751\/48. Calculate the common denominator of (l\/(-15))\/(8\/(-140)) and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 0)*(1 + 8 + 0)*(3*c - 6*c + 0*c)*(-2*c**4 + 2*c**2 - 2*c**2).\nAnswer: -432*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22220 (base 3) in base 15?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13609.7941434 and 0.1?\nAnswer: 13609.6941434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16674, -21.\nAnswer: -16674, -21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-6) + (-21)\/(-6). Which is the biggest value? (a) -4 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/56 or 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/12 + 5*m**4\/3 - 35*m**3\/6 - 114*m**2 - 2*m. Suppose d(y) = 0. What is y?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4 + 234*r**3 + 7186*r**2 + 19950*r + 12996 = 0.\nAnswer: -57, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {j: 2, t: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -819512, 3, 1, -18, -3 in decreasing order.\nAnswer: 3, 1, -3, -18, -819512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 - 2 + 3 - 358*f.\nAnswer: -358*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*t**4 - t - 1559 wrt t.\nAnswer: 1212*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -363*x**2 + 10159*x + 128. What is o(28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 3 + 0 - 2*s - 9. Let f(r) = 4*r + 3. Let a(u) = -8*u - 7. Let c(w) = -4*a(w) - 7*f(w). What is 7*b(k) + 6*c(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 174445.\nAnswer: -5, 2, 174445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-3 + (1 - -3)). Let y be (1\/2)\/(q\/(-550)*5). Do y and 11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in -1\/2, 0.5, -5, -1.1, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159088651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134262156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*b**3 - 5 - 79*b**4 + 4 + 82*b**4 + 2 as m*b**3 + y*b**2 + f*b**4 + l*b + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8603.679 tonnes in nanograms?\nAnswer: 8603679000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -25 + 55 - (100 + -23).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x**2 + 3*x + 2. Let t be (-11 + 402\/36)\/((-2)\/12). Let q be k(t). Solve -a + 12*a = q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (0 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129, -140, -165, -210, -281?\n\"Answer: -q**3 - q**2 - q - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, 2\/7, -5 in decreasing order.\nAnswer: 2\/7, -2\/29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 9:38 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7634 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) - ((sqrt(7) + 4*sqrt(7))*-5)**2).\nAnswer: -4373 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6182.8 rounded to the nearest one hundred?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134644941 divided by 261.\nAnswer: 515881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48645?\nAnswer: 3, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 998.6177 centuries in years?\nAnswer: 99861.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1298 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-1785)\/(-980) - (2 - (-2 + 10)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = -12. Let f(x) = 10*x**2 - 4*x. Let l be f(a). Suppose -w + l = 2*w. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -9416.967?\nAnswer: 4708.4835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131520 - 131519.9914913. Let m = t + -0.00815. What is m rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4197216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 95, -4, -2 in decreasing order.\nAnswer: 95, 8, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/46*(40\/12)\/(-5). Put -1\/4, l, -1 in decreasing order.\nAnswer: l, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 3. Let j(m) be the third derivative of -5\/24*m**4 + 0*m - 4*m**2 + 0 - 2\/3*m**3. What is 2*j(o) - 3*y(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245508799*b**3*z**3 + 349*b**2*z - 3610*b*z**3 - 2*b*z**2 + 7*z wrt b.\nAnswer: -1473052794*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297.7 + 291. Let y = w - -6.5. Which is the third smallest value? (a) -23 (b) y (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003098 to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*v + 1175 = 3380 + 3655 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1))\/(2\/8). Let q be ((-4)\/(-6))\/(c + -6). Let v(g) = 2*g**2 - 6*g + 2. Let s be v(3). What is the second smallest value in 2\/13, s, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-4)*(-1 - (-1 - 4)). What is the greatest common factor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p + p + 2 + 3*p**2 - 2*p**2. Let d be t(8). What are the prime factors of (-30)\/4*4\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8947657\/102 - 87721. Calculate the common denominator of w and 11\/94.\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/((-8)\/(-18)))\/((-58)\/4524)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111202202 (base 4) to base 13\nAnswer: -31208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(432) + -1 + 0)*2)**2.\nAnswer: -864*sqrt(3) + 15588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 33. Let c(q) = -w*q - 2*q - q - 18*q. What is the units digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99678987223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -103*a**3 + 18*a**2 + 33*a - 202. List the prime factors of f(-7).\nAnswer: 2, 3, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 9*t**2 + 8*t + 128. Give x(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*b + 25*b - 271*b - 772*b as t + o*b and give o.\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 9*d - 77 = 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 139 = -3*s, 7*s = 2*z + 3*s - 66. Calculate the remainder when 2317 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6925*j + 110843. Determine v(-16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5350 - 4580. Calculate the remainder when u is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 7*l**2 + l - 8. Let m be h(7). Let v(k) = 3*k**2 + k - 5. Let g(i) = -2*i**2 - i + 4. Let r(d) = 6*g(d) + 5*v(d). Is r(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 7*b = 5. Suppose -6*y = b - 17. Solve 4 = y*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618625 is divided by 77328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 7961 = -53*b + 6482 - 6621 for b.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 89*j + 360. Let s be p(-4). Solve -2*w = s*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 1\/720*d**6 - 1\/30*d**5 + 0*d + 0 + 0*d**3 + d**2 + 1\/12*d**4. Let h(v) be the second derivative of q(v). Give h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 17*v**3\/6 - 69*v**2\/2 + 72*v. Calculate the least common multiple of c(5) and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91+554748.501\nAnswer: 554839.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*t + 4)*(1077 - 2180 + 10898).\nAnswer: 19590*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2))\/(1\/2). Let r = 4 - m. Let n(q) = 6*q**2 + 1. Calculate n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {m: 1, z: 1, s: 6, t: 1, o: 6, i: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(1\/2)*d))\/d**3)\/((d*d\/d**3)\/(d*d**(-3\/4))) assuming d is positive.\nAnswer: d**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4774 and 1005268?\nAnswer: 7036876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14791*o + 74718*o + 51013*o + 50731*o.\nAnswer: 191253*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*f**5*l**2 - 2*f**2*l**3 - 660*f*l**3 + 4*f wrt f?\nAnswer: 880*f**3*l**2 - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/8021?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14692221, 14692217, 14692213, 14692209, 14692205, 14692201?\n\"Answer: -4*c + 14692225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -425817.6 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*n - 25, 2*i + n + 3 = 13. Suppose 0 = -3*v - 0 + 15. Solve 0 = v*q - i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*t**2 - 14*t**3 + 360*t**2 - 15*t**3.\nAnswer: -29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 11 - (5 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*m + 637*m - 16 = 0. Let b(k) be the first derivative of -m*k + k**2 - 1\/6*k**3 - 12. Factor b(s).\nAnswer: -(s - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -917 - -283. Let y be h\/(-18) - (-4)\/(-18). Find the second derivative of -14*z + 4*z**2 - 11*z - y*z**2 wrt z.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 17 - 7*o + 5*o)*(-o**4 - o**4 + 0*o**4).\nAnswer: 4*o**5 + 34*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z + 26. Let y be t(8). Suppose -3*b = 2*f - 11, -3*b - y*f - 3*f = -5. Sort 1, b, 2\/5 in ascending order.\nAnswer: 2\/5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - -5*-3*sqrt(300) - sqrt(300) - sqrt(6)\/(sqrt(72)*2).\nAnswer: -1801*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -3 - -1 - -21. Suppose -5*a = -a + z. Put -3, -2, a in increasing order.\nAnswer: a, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1325 - 1303 - (-75 - -5)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 0, 4*y = -3*w. Suppose y = 3*g - 2*g - 30. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636 and 5855811?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + 0. Let a = x + 0.17. Let b = a + -0.1778. Round b to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 51*i + 5 - 35*i - 5 + 110*i. Let q(v) = -2*v. Determine q(p(w)).\nAnswer: -252*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 - 8*170\/(-20). Calculate the highest common divisor of m and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 371\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11771177?\nAnswer: 11, 73, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*y = -1048*y - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/82915 and 119\/3090.\nAnswer: 497490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q**3 - 2*q**2 - 4. Let i(k) be the third derivative of 8*k**6\/15 - 11*k**5\/60 - 7*k**3\/2 - 2037*k**2. What is 2*i(o) - 11*l(o)?\nAnswer: -15*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 8*q - 5. Let v be l(9). Let m(w) = 3*w**3 + 2*w**2 - 8*w + 13. Is m(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 446 and 46646248.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 9*o**2 + 6*o - 3. Let i be (-31)\/(-4) - (4\/(-16) - 0). Suppose i*w - 30 = 5*w. Is k(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 26*w + 172. What is the nearest to -0.1 in -9, w, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621516 divided by -207172.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349282 is divided by 1141?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-367)\/5) + 2\/(-5). Suppose -5*k = -276 + z. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**2 - 5*i**3 + 3 - 107*i + 3*i**3 + 109*i. What is the units digit of k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/15)\/(7\/(-4620)). Suppose -7*w + u = w. Let q be (18\/(-4))\/(-3)*22. Is q > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 9*w**2 - 3*w - 1. Let u(f) = 7*f. Let j(d) = -d**2 - 3*d + 2. Let c be j(-3). Calculate the remainder when l(-9) is divided by u(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600 a multiple of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, j: 1, b: 2}. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6*o**5 + 54788*o**4 - 729538*o**3 + 893588*o**2 - 218832*o = 0.\nAnswer: 0, 1\/3, 1, 12, 9118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -50*m. Let b(x) = -17215*x**2. Determine z(b(t)).\nAnswer: 860750*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 4*c**2 - c - 1. Let s be n(3). Suppose -5*y + y = -3*j - 20, 0 = -5*y + 25. Suppose j*q = q - s. Solve q = -3*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 767062897 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 755226.26 to the nearest ten thousand.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3337 = -j + t, -3*j + 5198 = 2*t - 4828. Suppose 27*q = j + 259289. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3591318, -60 in decreasing order.\nAnswer: 0, -60, -3591318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44\/5? (a) -57 (b) -12 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*z + 793, -2*a + 3*z + 0*z = 817. Let r = a + 1924. Does 40 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(72) + sqrt(72)*-1)\/(sqrt(576)*-3 - sqrt(576)))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349529 - 699053 + 349524 - 158*m**3.\nAnswer: -158*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/9 + 320*t**2 - 11546*t\/9 + 2888\/3 = 0. What is t?\nAnswer: -1444, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-14756)*-2294)\/((-1)\/(-4))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 + 58240*c**2 + 0*c**3 + 2*c**3 - 58244*c**2 - 2*c**3.\nAnswer: 14*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 4, x: 4, e: 7, m: 3}. What is prob of picking 1 e, 1 a, and 2 m?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 63*o**3 + 3*o + 2. Suppose 240*c = -334 + 94. What is b(c)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**3\/6 - 5*a**2\/2 - 5*a. Let q be (-2 + -4 - -3) + 7. Suppose 4*k + 16 = -q. Let f(g) = -1. What is k*f(m) + z(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2*sqrt(275) + 4 + (sqrt(275) - ((sqrt(275) - -1*sqrt(275)) + sqrt(275) + sqrt(275) + -3))) + 2*(sqrt(275) + -1) + -4 + 5)*-5)**2.\nAnswer: -26000*sqrt(11) + 444225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2. Let b(s) = 7*s**2 + 10*s - 5. Determine b(j(l)).\nAnswer: 28*l**4 - 20*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 8 = 10*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117323.\nAnswer: 23, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - h - 100 = 0, -2*x - 73 = 2*h + 29. Let q = 49 + x. Suppose 4*m - 292 = -4*b, q*b = 4*m - 3*b - 327. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*(-9970)\/215352.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 2\/7 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -1.1, -1 in decreasing order.\nAnswer: 1, 0.1, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14451289 - 14451308.0000992. Let p = 19 + n. What is p rounded to six dps?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 27 - 18 = 0. Which is the closest to -7\/2? (a) j (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 5:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 448, 419, 390, 361, 332?\n\"Answer: -29*r + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:57 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 4*j + 21, -9 = 4*c - 9*j + 8*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/4 - (-3)\/(-12). Let r be (-15)\/((-3)\/l) + 1. Is -4 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 5*p - 7. Let a be h(4). Suppose -3*y - 378 = -3*o, 5*o - 338 = 2*o - a*y. Suppose -4*x - o = -497. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-6))\/f**(2\/9))\/(f**(-5)\/((f**2\/f)\/f*f*f)))\/(((f*f*f**(-3))\/f**(4\/3))\/(((f*f*f*f*f**3*f*f)\/f*f)\/f**(-2\/3))) assuming f is positive.\nAnswer: f**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/33 - (-138495)\/(-2684165).\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14)\/((-9655)\/(-243306)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1009800 and 83\/841500.\nAnswer: 5049000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1150208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 150*j**2 + j + 1. Let k be v(-1). Let h be ((-21)\/(-91))\/(112\/5824). What is the highest common divisor of k and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-180)\/(-27)*(-36)\/(-15). Sort g, 0.2, 2.\nAnswer: 0.2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = -5*r + j + 4*j, 5*r + 2*j + 314 = 0. Let m(o) = -2*o + 18. Let t be m(12). Is 3\/t*(r - 2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/42 of a week?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 10:29 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-28)\/(-3024)*36).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1)*x*(x**(-2\/7)\/x)\/x)**(26\/9)\/(x**1*(x**4*x)\/x)**(-2\/21) assuming x is positive.\nAnswer: x**(160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16456, -1 in ascending order.\nAnswer: -1, 3, 16456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 10*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59135\/8 + -7404. Let q = -19\/183 + -14999\/1830. Calculate the common denominator of t and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 258818 and 0.12?\nAnswer: 31058.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 282*a**2 - 17*a**2 + 58*a - 26*a.\nAnswer: -299*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(33)\/(sqrt(147)*-2))**2 - ((sqrt(11)*1*-4 - sqrt(11)) + ((sqrt(44) - sqrt(11))*-4)**2)).\nAnswer: -10*sqrt(11) + 34485\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2. Suppose 0 = -4*k - 20, -i*o + k - 28 = -3*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-3 - 1)*1. Suppose -m + 13 = -2*h, 5*h = 2*m - 29 - q. Solve -s + m*s = 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.09 (b) -0.3 (c) 90 (d) 2 (e) -3 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 30598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1483383 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1*-15 + 0 + 0. Let o = 35 - x. Solve -20 = -0*q - o*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2896\/11584*((-39)\/36 - -1).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839470355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, k: 1}. What is prob of sequence kh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313312 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4468, 8683, 12884, 17065, 21220?\nAnswer: 25343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 + 17*j - 6. Calculate i(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -k, 2*t - t - 10 = -3*k. Suppose -3*g = -3*p - 99, -4*g = p - 5 - 142. What is the highest common divisor of t and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86a (base 11) to base 6.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 419.82 + -420. Put -2\/3, w, 5, 0.2 in increasing order.\nAnswer: -2\/3, w, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) -1\/3 (c) 3 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -14*k**3\/3 + 54367330*k**2\/3 - 38833796*k\/3 - 5177840 = 0.\nAnswer: -2\/7, 1, 3883380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 38*r**4 + r**2 + 74*r**4 - 38*r**4 + r to the form y + c*r**2 + b*r**3 + m*r + o*r**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 3 = -2*t. Let o be -2 - t - (-4)\/2. Let v be ((-7)\/14)\/((-1)\/126). What is the greatest common factor of v and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11806, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -16, 2*v + 0*v - 12 = -w. Suppose -2*k + 1626 = -3*r, 19*k + 835 = w*k + 4*r. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -145*f**3 - 5*f**2 - 1133. Factor t(w).\nAnswer: -5*w*(87*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1367 - -1356) + -16 + -2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*u + 16, 4*x + 5*u - 42 - 1 = 0. Let z(k) = k**3 - 7*k**2 - 8. Let h be z(x). Find the common denominator of (-28)\/126*(-194)\/h and 53\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67202 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1834 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yclclylcycyc. Give prob of sequence ycll.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24423567300 rounded to the nearest 1000000?\nAnswer: 24424000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37842 is divided by 435?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6314418 divided by -1?\nAnswer: -6314418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64212046 is divided by 11033?\nAnswer: 11019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -0.5, 1\/264, 1\/2, 2\/9 in decreasing order.\nAnswer: 1\/2, 2\/9, 1\/264, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 4*i. Solve 3*c - 4*g = -c + 16, i*g + 16 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**2 - 139*i - 35. Calculate n(-23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 63*u**2 + 786*u + 297. What is f(-13)?\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.7 + 11. Let z = y + 0.1. Which is the nearest to -2\/9? (a) -1\/6 (b) 2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371085152.\nAnswer: 2, 3, 14282137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 2*a**4 + 0*a**4)*((-5 + 5 + 2)*(a - a + 2*a) + (1 + 2 - 1)*(-2*a - 1 + 1) + 2*a - 2*a - 2*a).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -3 - -6) + (-2 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 1. Let s = 1.1 - h. Let n = -4 + 1. Put s, n, 1 in descending order.\nAnswer: 1, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11300 (base 4) to base 14.\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 53 = 178 - 53 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - b + 4*b + 9, 5*b = s - 13. Suppose s*v - 469 = -70. Suppose 2*g = 5*p - v, 0 = 4*p - 3*g + 6*g - 88. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:58 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 37. Let l(d) = 3*d. Let h be l(0). Is w(h) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3272.39 (b) 1 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/30)\/3 - (-2)\/(-4). Let c = -8 + 9. What is the second smallest value in b, 0.1, c, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/45)\/((-3)\/((-12)\/(-10)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from xxiixxiaixaxxixiiax?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 40*g. Let t(v) = -369*v**2 + 163*v + 1. Calculate y(t(x)).\nAnswer: -14760*x**2 + 6520*x + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 - 1340\/11. Suppose -2*w = -7*w + 2*x - 9, -4*x + 9 = -w. Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + -4 + 21 + -53 + 13.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:46 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.28 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**5\/25 - 3*t**4\/20 + t**3\/15 + 3*t**2\/10 - 2*t\/5 - 1. Factor l(q).\nAnswer: (q - 2)*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.075 - 0.025. Let t(i) = i**2 - 4*i - 7. Let m be t(6). Which is the nearest to -1? (a) -3 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:46 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 20*m + 11. What is w(10)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2)\/((-4)\/(-396)). What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102, 105, 108, 111?\n\"Answer: 3*i + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668095.\nAnswer: 5, 11, 13, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + (-5 - (3 + 7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 43*v**2 - 51*v**3 + 0 - 53*v**2 - 4. Let n(y) = -y**3 + 1. Let i(t) = -4*n(t) - q(t). Find b, given that i(b) = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93\/15*(2 + 3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**5 + 15*g**3 - 25*g**2.\nAnswer: 420*g**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46875*g**5 + 1878750*g**4 + 11735100*g**3 + 26462562*g**2 + 20332521*g = 0.\nAnswer: -33, -59\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4279946 rounded to four dps?\nAnswer: 0.428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44435, 44436, 44437, 44438, 44439?\nAnswer: 44440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 440 - 2?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5941659 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1413 and 2\/24453.\nAnswer: 3839121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358*j**3*y**4 - 51*j**3*y**2 + 155*j**2*y**2 wrt y?\nAnswer: 8592*j**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 336*b**2 - 703*b - 3577. List the prime factors of p(-5).\nAnswer: 2, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302821 is divided by 283?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p - p)*(p + 0*p + 0*p + (-4 + 4 - p)*(3 + 1 - 5)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6575*f + 794. Is b(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, 1254, 2998, 5546, 8940, 13222, 18434?\nAnswer: 24618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 13*q = -6. Suppose o + 2*f + 1 = 0, -4*o + 0*f = 3*f - q. Solve 2*v = -o*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -430422022 (base 5) to base 9\nAnswer: -3360056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 6*z - 4. Suppose 0*m - 4*m - 20 = 0. Let a be d(m). Suppose k + t - 17 = 0, 4*t - 3 = a. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-60) + (-22081)\/426 + 52.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 3) + -6 + 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 570917 and 4438?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1003?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 124*g**2 + 2*g + 1. Let t be f(-3). Suppose 5*v - t + 416 = 0. Let u(a) = -3*a - 1 + 0*a + 146*a**2 + 4*a - v*a**2. Determine u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, 8, -1\/5, -97, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*q - 17 = 3, 4*q - 36 = -5*z. Is (212 - z) + -1 - -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r + 6*r + 3 + 4*r. Let a(x) be the third derivative of x**4\/24 + 11*x**2. Give 3*a(d) - i(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*d + 57620 = -134*d. Calculate the remainder when 4\/10*d\/86 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 39. Let s = m + 14. Let n(d) = 7*d**2 - 3. Let z be n(-2). Solve 3*k + 2*k + z = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4 - 3168272*l**3 + 9504764*l**2 + 12673040*l = 0.\nAnswer: -1, 0, 4, 792065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -9, 5, -27.7, -1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1fa2eb (base 16) to base 3\nAnswer: 10220100001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20847 times 2?\nAnswer: -41694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16020 and 66?\nAnswer: 176220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 6) to base 9\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10359584 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.799811 + 43.8. What is o rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -18*o**2 + 5*o. Suppose -5*d + 37 = -593. Let n(v) = 450*v**2 - 126*v. Let l(q) = d*j(q) + 5*n(q). Let g(k) = 3*k**2. Determine l(g(u)).\nAnswer: -162*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22875 and 18829.\nAnswer: 430713375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 - 5*s**3 + 13 - 10 to v*s + q + u*s**2 + m*s**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -197*(-2 - 1 - (1 - 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*n = -30, -2*q - 3*n = q - 15. Suppose -q*j = -14*j + 100. What are the prime factors of (-27)\/(-15) + 5\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -196*j**4 + 1228584*j**3 - 1925454388*j**2 + 550054608*j - 39287824 = 0.\nAnswer: 1\/7, 3134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y - 98. Let o(k) = -29*k + 296. Let g(l) = 7*n(l) + 2*o(l). Let h(s) = -15*s. Calculate h(g(d)).\nAnswer: 30*d + 1410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, x: 2, q: 1}. What is prob of picking 1 j and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 29*d - 3. Let m(n) = -n**3 + 4*n**2 + 1. Let a be m(4). What are the prime factors of y(a)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3977*t*x**4 + 141*t*x**3 - 42*t*x**2 - 133505*x**2 wrt x.\nAnswer: -95448*t*x + 846*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x - 4*x - 2*x)*(-3 - 5 + 2) + 1 - 1 - 2*x)*(-5 + 4 - 2).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 9 = -4*x, 0 = -5*j + 10*x - 6*x - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7651924 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/898 - 1013399\/1796. Let v = 24917\/44 + b. Calculate the common denominator of 31\/16 and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133\/(1064\/(-96))*14\/28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1 + 2 - 3 - 19*x**2. Let u(g) be the third derivative of g**5\/120 - 11*g**3\/3 - 17*g**2. Let q(m) be the first derivative of u(m). What is t(q(w))?\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 - 5*b - 395. Calculate r(-16).\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 40. Let q be f(-14). Suppose q*k - 7 = -3. Suppose 3*t - 4*g - 412 = 0, 0*g + 268 = k*t + 4*g. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 23267002*b**2 + 8*b. Let z(t) = t. Calculate z(u(i)).\nAnswer: 23267002*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14249 + 16909 = 413*m + 4313. Calculate the remainder when 2859 is divided by m.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140944, -140920, -140896?\nAnswer: -140872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/5 - 28*f**3\/5 - 98*f**2\/5 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131338 and 86125?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a + 4*a. Let n(b) = b + 5 + 2 + b**2 + 1. List the prime factors of n(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (73 + 2)*(6 - (17 + -2)). Let i be ((-3)\/4)\/(u\/1500). Sort -0.3, i, 41 in ascending order.\nAnswer: -0.3, i, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 + 4*k**2 - 18*k**2 + 13*k**2 - 12*k - 3. Let f be p(3). Solve f = 5*c, -2*c - c + 24 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4050) - (-4*sqrt(4050) + sqrt(4050)))\/(sqrt(10) - (sqrt(40) + sqrt(40)*1)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1070ed (base 16) to base 10.\nAnswer: 1077485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 142, 445, 1052, 2113, 3778, 6197, 9520, 13897?\n\"Answer: 25*l**3 + 2*l**2 + 122*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 21*l**2 - 1 + 0 + 0.\nAnswer: -21*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 3*z**2 + 3*z + 1. Let r(w) = 4*w**3 - 5*w**2 + 5*w + 3. Give 5*b(a) - 3*r(a).\nAnswer: -2*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -257\/118?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - t)*(7 + 2 - 3)*(2 - 1 + 0)*(2 - 4 + 0 - 3 + 3 + 3 + (2 + 0 - 3)*(-4 + 3 + 3)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**2. Let f(w) = 6*w**2 + 17*w**2 - 37*w**2. Calculate g(f(v)).\nAnswer: 1568*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - -30383?\nAnswer: 30407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8606 and 610?\nAnswer: 2624830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.82 - 0.18. Let k = h + 27. What is the closest to 0 in k, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)\/p)\/(p**(1\/3)*p))**(-2\/97) assuming p is positive.\nAnswer: p**(50\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -102 + 126 + -13 + -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2469*o + 1375368. What is c(-849)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (51\/(-3) + 7). Solve -4*w + 2*w - l = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9761 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -23\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16672\/7 + 2382. What is the nearest to 1 in 1\/2, m, 68, 2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190656 divided by 7944?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (73\/3)\/((-1)\/3). Let o = -47 - f. Round o to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.1. Let g = -14273359\/837 + 17053. Let u = 283\/1674 - g. Which is the third biggest value? (a) i (b) u (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, m: 2, u: 3}. What is prob of picking 1 k and 1 u?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 278 - -224. List the prime factors of l.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 - 5*w + 17. Let i(d) = d**2 + 2*d - 6. Let y(g) = -8*i(g) - 3*q(g). Let c be 2 + 4 + 126\/(-21). Calculate y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 889644050.5.\nAnswer: 889644050.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.154, 2\/5, -0.5 in descending order.\nAnswer: 2\/5, 0.154, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19108 * -5\nAnswer: -95540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3685*u + 116*u - 3987 + 552 wrt u.\nAnswer: 3801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 6*f. Let u be 7\/(-5) - (-3)\/5 - (-26784)\/30780. Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1550292\/49979 + (-1)\/53\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t + 6. Let k = 10 + t. Let u = -1837 - -1846. Calculate the smallest common multiple of k and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*(sqrt(7)*-4 + sqrt(7))*3 - (-2 + -5 + sqrt(7) + sqrt(49)\/sqrt(7) + sqrt(7)))*5)**2.\nAnswer: 14700*sqrt(7) + 309925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(768))\/(sqrt(324)*-1)*-2)**2.\nAnswer: -128*sqrt(3)\/9 + 1132\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = -2*v - 4, -4*v - 5*i = -28. Differentiate 2*g**v + 6*g - g - 58 - 8*g**2 - 18*g**2 - 2*g with respect to g.\nAnswer: -48*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600060278?\nAnswer: 2, 3, 1759, 151607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from dqdqizdzqdzzqaz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 8 - 7 - 327*n**2 - 249*n**2 + 35*n**2.\nAnswer: -541*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 61632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21405524.1 to the nearest 1000.\nAnswer: -21406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 3*a**4 - 6*a**4 + (25*a**3 + 564*a**4 - 285*a**4 - 282*a**4)*(1 + 0 - 2) to b*a + z*a**3 + r*a**2 + y*a**4 + l and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79927.\nAnswer: 257, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1946 + 1949. Solve -4*w - 5*d - 32 = 0, 8*w + 3*d = g*w - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3*(-1)\/1. Let q be (-58)\/(-18) + w\/27. Let a(s) = -3*s + 6*s**q - 3*s**3 + 2*s**2 + 2*s. Determine a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (sqrt(931) + 0 + -2*sqrt(931) + 3 + 1)*-2)**2 + -2.\nAnswer: -196*sqrt(19) + 3768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1319 and 0.4.\nAnswer: -527.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217.040995 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-30)*-2)\/(2\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11905821, 11905823, 11905825, 11905827?\nAnswer: 11905829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9322 - -17103. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 47 = 3*a, -c - 6 + 1 = 0. Suppose -7 = -4*n - 4*h + a, -n = 5*h. Let k be (-2)\/2 - -2 - 1. Put n, -2, k in ascending order.\nAnswer: -2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(-4 - (-1998)\/504)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, -4, -2\/13.\nAnswer: -4, -1, -2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(550))\/(sqrt(18)\/(-4*sqrt(9))))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/126 + 2 - 14\/(-63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*a**2 + 5*a + 2*a**3 - 9 + 16*a**2 - 2*a - 4*a - 78 as o*a**3 + x + y*a + f*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -3)*6\/4. Let w be f\/(-6) - (-78)\/12. Let n(v) = v - 1. Give n(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220102 (base 4) to base 15.\nAnswer: -1e9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - 1. Let b(n) = 2*n**2 + 2. Determine 5*b(q) + 4*x(q).\nAnswer: -6*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 237581947?\nAnswer: -95032778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*x + 1425 + 969 = -82 + 244 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5213957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35116, 35115, 35114, 35113?\nAnswer: 35112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -620147 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (10 + (-7 - -6)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30966.092 + -30884. Let n = 80.7 - y. What is n rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12360970.\nAnswer: 2, 5, 449, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 508909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/18 - (0 - 38\/36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Suppose 25 = -4*d - 3*s, s = -4*d - s - 22. Let a(h) = 6*h + 5. What is d*b(k) - a(k)?\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/(325\/(-15)))\/3. Let i be (-2)\/(-2) + (-10)\/8. Let q = -0.5 - -1.5. Which is the third smallest value? (a) o (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2487704 divided by 298.\nAnswer: -8348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*a**5*u + a**3*u**2 - 3*a**2*u + a*u**2 + 2*u**2 wrt a.\nAnswer: 3540*a**2*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 5. What is the smallest common multiple of z(3) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -747\/5 + 150. What is the smallest value in -2, t, -1, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293*k**3*o**3*q - 2*k**3*o**2*q**2 + k**2*q**2 - 5*k*o**3*q - 5*k*o*q**2 - k*o*q wrt k.\nAnswer: -1758*o**3*q - 12*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4a2 (base 13) to base 6\nAnswer: -3424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3269710 to the nearest ten thousand.\nAnswer: -3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*o - 3503 - 542 = 3365 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - 3) + 3)\/1. Suppose 534 = 3*a - n, y = 5*a + 4*n - 857 - 50. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 441380.6kg?\nAnswer: 441380600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 5:24 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/282 and (-2)\/4 - 41\/328.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d. Let a be u(3). Suppose h + 0*q - 4 = -q, -5*h - 4*q + a = 0. Find the third derivative of -h*i**2 + 2*i**3 - 5*i**2 + 4*i**2 - i**3 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-42))\/((-6)\/(-28)). Suppose 0 = -4*x + i. What is the common denominator of (-3)\/x - (3 + -18) and -95\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 - 1. Suppose -4*x + 5*p = 259, 28 - 162 = 2*x + y*p. Let m = x - -333\/5. Which is the second biggest value? (a) m (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 369, 572, 775, 978?\n\"Answer: 203*a + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1. Let k(r) = 8*r - 57. Let z(i) = 6*i - 42. Let l(p) = 5*k(p) - 7*z(p). Determine -2*l(n) - 6*s(n).\nAnswer: -2*n - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 2. Let u(f) = -2*f + 3. Let j(l) = -7*b(l) - 4*u(l). Let y(d) = 2*d + 3. What is -10*j(i) + 6*y(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100000 (base 2) in base 9?\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/(c*c**(-2)*c))\/(c**(-5)\/c*c\/(c**(-7)*c)) assuming c is positive.\nAnswer: c**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(176) + 0)**2 + (sqrt(99)\/sqrt(3))\/sqrt(3))*-1.\nAnswer: -275 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -70. Let t be (v - 2) + (-2727 - -10). Is (-10)\/(-2)*(-7)\/(105\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/2 - o**2\/2 - 5*o. Let q be p(1). Suppose 0 = -q*j - 3*j + 60. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-570))\/((-1)\/(-8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2070 divided by 923.\nAnswer: -2070\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - (-25 + -66 + 157)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 274*x + 32335. What is q(-118)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, 4, -680, -5 in decreasing order.\nAnswer: 4, 0, -2, -3, -5, -680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r + 14 = 27*r. Suppose -r*f + 19*f = -25. Let x(k) = -2*k**2 - 5. Let l(z) = -2*z**2 - 6. Determine f*x(w) + 4*l(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 248. Suppose 0*f = -4*f + s. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 - 20*j**3 + 41*j - 3941.\nAnswer: -4*j**3 - 60*j**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*o = -2728*o + 22127 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*b + 35 = 0, -4*s + 3*b = -15 - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6) + (-6)\/(-4). Suppose z*h - 4*w = h, 0 = 5*h - 5*w + 25. Let j be (-2)\/(-7) - 160\/70. Are h and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 41*j - 174. Let c be l(30). Calculate the highest common factor of c and 728.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58950330 and 17685099?\nAnswer: 176850990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z - 11. Let u(l) = -7*l + 39. Let o(j) = -21*j + 106. Let v(d) = -3*o(d) + 8*u(d). Determine 7*v(t) - 4*y(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*d**3 - 110*d - 11819.\nAnswer: -156*d**2 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61666751.\nAnswer: 859, 71789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 9*t**3 + 3*t**3 + 2*t**2 - 9*t**3 + 4 as m*t**3 + i*t**2 + b*t + q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13746619 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -19, -1\/2, -1\/4, 3 in increasing order.\nAnswer: -19, -1\/2, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694 = 4*m - 2*u - 538, 4*u - 913 = -3*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5977.845 to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5760 + 11260. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/2)\/(10\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*a - 110*a + 594*a - 1455*a**3 - 367*a.\nAnswer: -1455*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 + 2 - 6*o**3 + 8*o**3.\nAnswer: 2*o**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - m + 0 + (5*m - 2*m - 2*m)*(0 - 1 + 3) + 0 - m + 1 - 2*m + 1 - 1 - 2*m.\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -144. Let a be (5 + -1)*(k + 14). Calculate the highest common divisor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -279 - 3648\/(-19) - (-1 - (-4)\/2).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 821 + -756. Calculate the greatest common divisor of 143 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 - 2 - 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9 + 55\/(-60). What is the third biggest value in 5, i, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9034.3 + 1.\nAnswer: 9035.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7206.\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 315. What is the remainder when n is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2208 + 3528. Suppose -4*r - 2*r = -f. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2778 - 2866. Which is the second smallest value? (a) -0.4 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*x**4 + 1229 + 250*x + 400 - 493*x**3 + 489*x**3 + 61*x**4 wrt x.\nAnswer: 8*x**3 - 12*x**2 + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007125056 a multiple of 4792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*m = 24, 2*m - 165 = -5*y + 7*m. Calculate the remainder when ((-20)\/y)\/((-4)\/78) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383*n - 94*n + 2647*n + 987*n - 90*n to the form w*n + v and give w.\nAnswer: 3067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70 - 2463?\nAnswer: -2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.3349g in milligrams?\nAnswer: 524334.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -2*p + 25, -11*g + 8*g + 9 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5 - 2\/(-10). Suppose m + m = -5*h + 14, w = 2*h - 5*m + 6. Let b be h - (3 + -2 + 1). Solve b*p = 4*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -769*m**2 + 965*m - 1934*m + 969*m + (-m + 4 - 4)*(-m + 2*m + m).\nAnswer: -771*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 + -1 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 15*k - 77. Give n(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 21904675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1212500 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1367\/186 + -1\/62. Find the common denominator of d and 78\/(-27) + 3 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -841\/455 + -32\/91. Which is the fourth biggest value? (a) -2 (b) -0.3 (c) k (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219221761.\nAnswer: 1219221761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1. Let r(q) = 3*q - 6. Give 4*r(k) - 28*y(k).\nAnswer: 12*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 3342*u**5\/5 + 7*u**3\/3 - 219*u**2\/2 - 3*u + 10389. What is the third derivative of j(m) wrt m?\nAnswer: 80208*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 18 = -8*n - 613 + 335 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4926*p**3 + 80*p**2 - 10*p - 1 wrt p.\nAnswer: -29556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.3, 6, 57\/10, 2\/3, 3 in ascending order.\nAnswer: -0.3, 0.01, 2\/3, 3, 57\/10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.8 - 2.4. Let u = -17.5 - v. What is u rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -6, -1, 0, 61 in descending order.\nAnswer: 61, 10, 1, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-8 + 12 + -2 + -4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 3, 1800, 37.\nAnswer: 3, 37, 100, 1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 6.8?\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1011*r + 37. Let k be g(-3). Suppose 3*x - 613 = -2*y + 632, -5*y + x = -k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:36 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4541365 is divided by 124?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 + 2325252*b\/5 - 9301024\/5.\nAnswer: (b - 4)*(b + 2325256)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/3 - 4228768*p**3\/3 + 2235322535978*p**2\/3 - 4470594326884*p.\nAnswer: 2*p*(p - 1057189)**2*(p - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/(-9 - (-4268)\/472) is divided by 55?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 218 or 195?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 8\/3)*153\/(-561)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124884224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 28 = 4*a + f, -2*f + 4 = a. Solve -5*m = -r - r + 18, -m - a = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.0001 (b) 0.4 (c) -5 (d) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1678019.642 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*k - 369*k = 343*k + 26404 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 7719725.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let b(p) = -6428*p - 2. Calculate t(b(f)).\nAnswer: -41319184*f**2 - 25712*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/81)\/((-1309)\/1386).\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4 - 4*k**3 - k + 5*k**3 - 2*k**3 + 5*k**2. Let a be h(5). Let i be 3 + (a - (-3)\/(-2)). What is the second smallest value in -1, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052550?\nAnswer: 2, 3, 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4 + 88*b**3 - 41*b**2 - 88*b + 36 = 0. What is b?\nAnswer: -18, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117155 is divided by 909?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678, 600, 522?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 - 2*n**3 + n**3 + 8 - 12*n**2 - 5*n. Let g be f(-6). Let h = 2.4 - 3.4. Which is the third smallest value? (a) -3\/4 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -7 - 0 - 0\/(-14). Let w = -3 + 3.2. What is the third smallest value in f, -3, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1348*w**2 + 10*w - 4. Let u(g) = 1350*g**2 - 7*g + 3. What is 3*k(z) + 4*u(z)?\nAnswer: 1356*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwfhnfnnnffnfnf. What is prob of sequence fnw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18824 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42849 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (19 - -11) + -8 + 8 - 11\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 808439*t**3 + 4 - 808457*t**3 - 4.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -260, -373, -478, -575, -664?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 - q + 2. Let h be p(-3). Suppose 255*s + 168 = 261*s. Suppose -3*t = 9, 0 = b + 32*t - s*t + 2. Solve h + b = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*x - 20 = 0, 10*x = -5*q + 9*x + 20. Let s = -11 + 15. Suppose -4*h = -q*n - 84, s*n - 16 = -h - h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 109\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402a0b (base 15) in base 3?\nAnswer: 1000011111000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-810)\/18954 + (8\/(-6) + 2)\/(-6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d + 166*d + 80*d + 8*d.\nAnswer: 226*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3472 + 1461. What are the prime factors of a?\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 605\nAnswer: -1\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*s - 7, -2*s + 7*s - 20 = 0. Let j = -6 - b. Suppose 3*o = 3*v - 39, 3*v + j*o = -v + 52. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7141261 - -1375261. Round q to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518733 and 5256.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1)**2 + sqrt(448)*-4 + (-2 + sqrt(42)\/sqrt(6) + -5)**2 + -1.\nAnswer: -46*sqrt(7) + 755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 12*m**2 + 2*m - 9. Calculate h(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1117 or -642?\nAnswer: -1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2122929963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 36678 + 37028 = -6*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*f + 5865, -2*u + 1729 + 617 = f. What is the remainder when u is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) 2 (c) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -20*m**5 + 149072*m**4 - 277899968*m**3 + 444139200*m**2 + 222129216*m = 0.\nAnswer: -2\/5, 0, 2, 3726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/2*p**3 + 0 - 2*p - p**2. Let y be t(-2). Let a(k) = k - 7. Calculate a(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:42 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-78))\/(44\/(-6)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*(-6*(2*sqrt(153) - sqrt(153)) + sqrt(153)))\/((sqrt(99)*-1*-6)\/sqrt(11)))**2.\nAnswer: 25*sqrt(17) + 10949\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364930 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 6, o: 4, w: 1, u: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -11*m + 32*m. Sort m, 3, 10, 4, 0 in descending order.\nAnswer: 10, 4, 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -111, 44?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2517 = 50*w + 67. Suppose 7 = -k + 56. Let l = w - k. Solve -y + l + 11 = 3*j, 4*j + 12 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**3\/3 - f**2\/2 - 6*f - 1. Let m be c(11). Let r = -304\/3 + m. Which is smaller: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11204929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*t + t. Let k be -2*(-8)\/t*1. Suppose -5*y + 55 = -5*s, 0 = k*y - 0*s + s - 39. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/((-48)\/(-35238183)))\/2. Let f = 734385 - o. Let r = f - 255. Calculate the common denominator of r and -25\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-3*sqrt(10)\/sqrt(2)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7 + -5 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Let i(l) be the third derivative of -364*l**5\/15 + 139*l**2 + 1. Calculate s(i(t)).\nAnswer: -4239872*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.2, 7, 3\/13, 1\/52, -0.14, 10?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 54.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833.994 millilitres to litres.\nAnswer: 0.833994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 10*r**2 + 16*r + 26. Let g(j) = -j**3 - 2. Let p(k) = -2*g(k) - 2*o(k). Factor p(i).\nAnswer: 4*(i - 2)*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0422290721+0.5\nAnswer: 0.4577709279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w\/(w\/((w\/(w\/(w\/w**(-2\/7))*w))\/w)))*w)\/w)**13*w\/(w**(-28)\/w)*w*w\/w**(-1\/6) assuming w is positive.\nAnswer: w**(3379\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 - 5*c**2 - 5*c - 1. Let a(k) = -k**3 + k**2 + k. What is -5*a(s) - i(s)?\nAnswer: 10*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2, 0, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-5) + 0 + (1 - -1). What is the highest common factor of 22 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -1)\/(3\/(-3)). Let s = 33 + 3. Suppose -3*h = -i*h - s. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -32*t - 17\/6*t**4 + 0*t**3 + 0*t**2 + 0. Let a(r) = 2*r. Give a(n(l)).\nAnswer: -68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 58533*i**2 + 1753965*i - 13149675.\nAnswer: 3*(i - 19481)*(i - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, -9, -32 in descending order.\nAnswer: -9, -32, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6 - -1)\/(((-1474)\/264)\/67).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g*q**4*x + 5*g*q**4 + 7*g*q**2 + 2*g*x + 6*q**4 - 3*q**2*x + 2*q*x wrt q.\nAnswer: 432*g*q*x + 120*g*q + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*o = -5*o - 3612, -2*k = -o + 1806. Let n = k + 1475. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242847\/495 + (1 - (-3)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372295329.\nAnswer: 3, 7, 19, 49109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7*a + 36 = 0. Is 35\/3 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 18*d**2 - 1 + 11459*d**3 - 11480*d**3 as c*d + r*d**2 + w*d**3 + g and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1657*x + 4 + 13595*x - 4.\nAnswer: 15252*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3 - (15 - (-960)\/(-54)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.49 - -6.09. Sort -3, w, 4, -2 in increasing order.\nAnswer: -3, -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 + -12 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2493*n**4 + 2*n**3 - 10*n - 2492*n**4 + n + 1 to the form s*n + u*n**2 + d + c*n**4 + j*n**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2081*p**2 - 272*p**2 - 1128*p + 1129*p in the form q + i*p**2 + s*p and give i.\nAnswer: -2353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1, x: 3, s: 1}. What is prob of sequence xn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose 2*f - 2*a - 2 = 0, 3*f + a = u*a + 9. Let f*c - 5*c + 3*c + c**2 + c**2 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:29 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1453 - 1040. Solve -6*m + 437 = q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, -5, 12, -15 in descending order.\nAnswer: 183, 12, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 142d81 + 0?\nAnswer: 142d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**5\/5 - 9*v**4\/4 + v**3 + 9*v**2\/2 - 6*v + 3. Factor u(l).\nAnswer: 3*(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 9*r**2 - 7*r + 32. Let a be f(-10). Suppose -a*d - 2*p = -2544, d - 1258 = 3*p + 34. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119722, -239439, -359156, -478873, -598590?\nAnswer: -718307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*y = 19, -5*y + 7*y = -4*k - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032389 to 5 decimal places.\nAnswer: 0.00324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtew when four letters picked without replacement from {p: 4, w: 2, j: 7, e: 1, t: 2}?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - 11*t**2 - 7*t + 14. Let p be o(4). Sort 3, p, 16 in ascending order.\nAnswer: p, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:17 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14a05 + 3?\nAnswer: -14a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.74007 weeks in minutes?\nAnswer: 138499.9056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**2 - 8*i + 5. Let k(v) = 4*v**2 + 4*v - 1. Let q(n) = n**2 + n. Let f(u) = k(u) - 3*q(u). What is 5*f(x) + m(x)?\nAnswer: -2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**7\/105 - p**5\/15 + 2*p**2 - p. Let m(w) be the first derivative of v(w). What is the third derivative of m(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42560*a + 42560*a - 16*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -52598 plus -0.1681329?\nAnswer: -52598.1681329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(704) + -1*sqrt(704) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 + 20486317\nAnswer: 20486319.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, -0.5, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9146 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 4*j - 5. Let x be g(-5). Let q = 12 - x. Solve -2 = 3*v + 4*u + 2, -3*v = -5*u + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2015*j + 54783 = -62235 + 6193 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/21)*a)**15 assuming a is positive.\nAnswer: a**(95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2. Suppose -43 - 11 = -4*a - 3*k, -2*a + 5*k = -14. Let m(s) = a*s**2 - 6*s + 6*s + s**2. What is m(r(i))?\nAnswer: 13*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + z**2 - z**2 - 2*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 4*i**2 - 3*i + 2. Let y be z(5). Let f(v) = -v**2 + 16*v + 7. Let c be f(y). What is the highest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 20. What is the remainder when 51 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t - 2*h, h - 3*h - 8 = -4*t. Let y = t - -1. Solve -5 = z - 2*z + y*u, -3*z + u = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-1\/31)\/(w**1\/w)**(-20\/9))**(-48) assuming w is positive.\nAnswer: w**(96\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.5 - 45.5. What is the fifth biggest value in 1\/10, 1, x, 5, 0.07?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + (sqrt(539) - 2*sqrt(539)*-5) + -5)**2*5*-4.\nAnswer: -1305996 + 27720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148822971 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*k - 154*k - 776*k**2 - 149*k - 2 + 457*k.\nAnswer: -776*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let f(g) = 3 + b*g - 3 - 1 + 2*g**2 - 3*g**2. What is f(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and (-21 - (2 + 1))*2\/(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.242591 litres to millilitres.\nAnswer: 6242.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**2 + 4*p + 2. Let g be n(-4). Let f = 1.54 - 0.54. What is the closest to f in 2, g, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8 + 11346\/60)\/2046 + (-2)\/31 and -119\/1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1754.41 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -215 - 3?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 6, 1, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**3 + 85*u**2 - 723*u + 1773115?\nAnswer: -6*u**2 + 170*u - 723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -11*r - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:53 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*j + 23 - 51*j + 20*j - 92*j in the form l + x*j and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 10*i**2 + 2*i - 18. Let p be q(10). Let u be -6 + 9 + p + 1. Suppose 0 = -w + u*w - 240. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -7.6.\nAnswer: -0.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -1 (b) -0.5 (c) 4.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4800 by -1.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 5, 2.9, 6.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/840 and 61\/4?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)\/4*10. Suppose b*g = 12 + 13. Let m(v) = -v**2 + 11*v + 2. Let s be m(g). What is the highest common factor of s and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -19, -1357 in decreasing order.\nAnswer: 0, -5, -19, -1357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12245 equal to -12246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2. Let b be ((-6)\/(-1 + 3))\/(-1). Let z(h) = -5*h**2 - b*h**2 + 0*h**2. What is z(t(c))?\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6067953 or -6067951?\nAnswer: -6067953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-600)*-5 - ((2826\/(-660))\/(-1) - 5)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 3, q: 1, i: 1}. What is prob of picking 1 q, 1 n, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p + 57568. Let a(m) = -56*m**2. Give o(a(w)).\nAnswer: 336*w**2 + 57568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -3331?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 243 = -27*l + 278 - 23 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 129*n + 1051. Determine g(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, 1.2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2712099.34 and 0.\nAnswer: -2712099.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v**2. Let f(u) be the third derivative of u**4\/24 - 26*u**2 - 2*u. Calculate f(j(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 1074. Let n(u) = -304*u. What is n(c(q))?\nAnswer: 1520*q + 326496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 706 + -474. Determine a, given that -117*a**2 + l*a**2 - 119*a**2 - 12*a = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112223 + -13?\nAnswer: -112240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38 times 0.5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -203 in -2, 6, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 9*-1 - 2. Solve 0 = 2*f + 3 + x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61068*d**3*f**2 + 2*d**2 + 6467*f**2 wrt d?\nAnswer: -366408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 10. Suppose k - 20 + h = 0. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 848ca?\nAnswer: 848c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1916 + -1479. Let l = -36815.5326171 + 36378.53257. Let g = l + y. Round g to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850837709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.14832 months in years?\nAnswer: 1.01236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24734500\/2483)\/(-175) + -1*(-2)\/(-26).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 515, 649, 709, 701, 631?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 349*c**6\/120 - c**4\/24 - 979*c**3\/2 + 3633*c**2. What is the second derivative of w(m) wrt m?\nAnswer: 2094*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772827781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/((-2)\/(-8)). Let w be 3\/(-5) - (-10)\/(-25). What is the least common multiple of 4 and (h - 0 - w) + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -278408 and -278429 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -599 - -676.1. Let r = 42.5 - a. Let p = 39 + r. What is p rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2 - 1 + 3*o**2)*(57*o + 482 - 482).\nAnswer: 57*o**3 - 171*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*n**3 - n**2 + 11*n - 5591 wrt n?\nAnswer: -72*n**2 - 2*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.5 (c) 3 (d) -0.1 (e) 2\/611\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 77\/3 of a hour?\nAnswer: 92400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -4*z. What are the prime factors of (-1)\/((z\/11)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6 and 4\/(-24)*352\/68?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15362310 divided by 512077.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -178 (b) 2\/7 (c) -1\/3471 (d) -0.08 (e) -0.2 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1737*g - 3 + 1 + 4 + g**2 + g**3 + 1742*g in the form t*g + u*g**2 + c + b*g**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**3 - 1\/10*w**5 + 0 - 4*w**2 - 1\/8*w**4 + 0*w. Find the second derivative of a(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55.5? (a) -1.65 (b) -8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401092 is divided by 6706?\nAnswer: 5438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*j - 78*j = 104 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 7*j**2 + 5*j - 11. Suppose 0*d - 2*d - 16 = 0. Let x = 69 - 18. What is the remainder when x is divided by c(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.899 times 2.56?\nAnswer: -12.54144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -99. Let p = 24 - w. What are the prime factors of p?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264*k**2 + 268*k**2 - 516*k**2)*(3*k**3 + 0 + 0) + (-k**4 + 3*k**4 + 0*k**4)*(-4 + 4 + k).\nAnswer: 50*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 2\/3, -1966, -3, 3.\nAnswer: -1966, -3, 1\/17, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 614738277 a multiple of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 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: Solve 5 = -3*u - 10, -2*u = -4*o + 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -741834 by 3.\nAnswer: -247278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 8:21 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 23*f**2 - 27*f - 34. Let g be l(24). Let s = 2101 - g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -291.\nAnswer: 26\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3340140 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 1)*(2*a**2 - a**2 - 2*a**2) - a**2 + a**2 - 2*a**2 + (a**2 + 2*a**2 - 4*a**2)*(-1 - 3 + 5).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 441333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2815)\/(-1126)*32\/2480\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**2\/3 + 298481*k\/3 - 29848\/3.\nAnswer: -(k - 29848)*(10*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jcjchjcjjjcjccjjcjj.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 9 - (-2 - -5). Suppose -l*v + 4 = -2*v. Put v, 5, -2 in increasing order.\nAnswer: -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 times 45.48529?\nAnswer: -40.0270552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -1 + sqrt(637) + -1)**2.\nAnswer: -56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.78 + 101.52. Let r = 2.21 + 121.79. Let b = w - r. What is b rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 5\/6, 2, -0.4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.15, 0.057, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -569, -768, -965?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164 by 2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + 2. What is the second smallest value in 1\/2, h, 1\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**4*t**2 - h**3 + 52*h**2*t**3 - 7*h*t**3 - h + 4*t**3 wrt h.\nAnswer: -36*h**2*t**2 - 6*h + 104*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/i**(-2\/15)))*i*i\/(i\/i**2)*i*i**(2\/3)*i*i\/i**(-5)*i assuming i is positive.\nAnswer: i**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/11)*q*q*q*q**11)\/((q\/(q**(10\/11)*q)*q)\/q)**(-21) assuming q is positive.\nAnswer: q**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 + 14 - 14 + 9*j**2 as r*j**2 + g + f*j and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 34. Suppose 0 = -0*y - 3*y + 393. Suppose 239 = 3*a + 4*g, a = 3*a - 3*g - y. Calculate the remainder when a is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dnnffnfdffnfdndfn?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1090 + 2228. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3928*s + 75 - 1964*s - 1962*s. Let i be (-2)\/(-4) + 31\/2. Let m(u) = -38*u + i*u + 20*u. What is m(k(c))?\nAnswer: -4*c - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 2. Suppose -5*r = -5*i, 5*r + 0*r - 6 = -i. Let b(d) = -d - 1. Let q(l) = i*h(l) - 6*b(l). Find the first derivative of q(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1, 5, 122 in increasing order.\nAnswer: -27, 1, 5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 8*z - 3*z - 10*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.37 + -1.37. What is the nearest to n in 4, -1\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -6.94. Let z = n - 6.8. Suppose -u + 4*p + 7 = 0, 2 - 15 = -3*u + 4*p. Which is the third smallest value? (a) z (b) -2\/23 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8363 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37121 and 553?\nAnswer: 2932559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58685927 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 - (-3 + 19 - 14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 845413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1288 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38762221 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13983733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567308877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -48671.7122 to the nearest 100.\nAnswer: -48700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4279 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*n + 30, n = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.415 + 0.085. Which is the nearest to -2\/19? (a) 4\/3 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2510.1905 rounded to 0 decimal places?\nAnswer: -2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/9)\/(4\/6). Suppose 0*j + 4*c + 86 = 3*j, -w*j + 2*c = -54. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.2, -4, -955 in increasing order.\nAnswer: -955, -4, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**2 + 10*i**2 + 16*i**2 + 11*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**5 - 2*a**4 + 2*a**4)*(-4 + 0 + 1) + 2*a**5 + a**5 + 0*a**5 + 0*a**4 + a**5 + 0*a**4 + a**2 + 8 - a**5 - 7 + 0*a**5.\nAnswer: 9*a**5 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(8\/(-96)). Suppose -h = 2*g + 3*q, 3*g - q = 2*g - 4. Sort g, -5, -2.\nAnswer: -5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2\/2 - w + 2. Let o be j(9). Let x = o + 1. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 8245*a**5\/4 + a**4\/24 + a**3\/2 + 2*a**2. Let d be x(-4). Let h = -1078799 + d. Round h to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84781236*u**2 + 88350443?\nAnswer: -169562472*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111000110111111000 + -100?\nAnswer: 1101111000110111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13305 and 4410.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 + 201111201?\nAnswer: 201110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92958 + -92953. Let l be 5*(-1 - (-2 - -2)). What is the fourth biggest value in c, l, -1, -4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 + 270*n**2 - 7524*n + 60648 = 0 for n.\nAnswer: 14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 19*v - 5 + 240*v**3 - 228*v**3 as p*v**2 + b + c*v**3 + s*v and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24607 divided by 12?\nAnswer: -24607\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1032 + 144?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g - 111*g**2 + 4*g - 152*g**2 + 261*g**2 + 38*g + 4*g.\nAnswer: -2*g**2 + 65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 73, -3, -7 in increasing order.\nAnswer: -7, -3, -2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -35*i + 644. Let b be 269\/(-4) - (-3)\/12. Let r = b - -94. Calculate the remainder when r is divided by p(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-28)\/(-126) + (-44)\/36. Let p be (-200)\/(-6) + 1\/(-3). Calculate the highest common divisor of p and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.19911 millimeters to micrometers.\nAnswer: 8199.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-896))\/((-1)\/1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b - 76 + 132 = -184 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**2 - 1\/6*x**3 + 0*x - 1\/8*x**4 + 0. Let c = 5 + -3. Calculate q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 13, u: 2, p: 2}. Give prob of picking 1 p and 2 h.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, x: 9, y: 2}. What is prob of picking 2 f and 2 x?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 g when four letters picked without replacement from vggggvggvvgggggvgg?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**3 + 5*w**3 + 2*w**3 + (2 - w**2 - 2)*(-w + 2*w + 0*w) + (-w + 4 - 4)*(0*w**2 - 2*w**2 + 0*w**2) to t*w**2 + x*w + g + z*w**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 10*j - 130. Let g be (-5184)\/(-720)*(-10)\/(-4). What is w(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41895)\/2331 - -101) + (-5)\/185?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 712382*h\/7 + 712380\/7.\nAnswer: 2*(h - 356190)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*g + 2 + 1 + (0 + 6 - 2)*(1 + 3 - 3)*(9*g + 6 - 6).\nAnswer: 34*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 38 - 38 + l. Let x(a) = -4*a**2. Give d(x(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - q**3 + 2*q**3)*(2*q - 2 + 2) - 1 - 2*q**4 + 1 + (6721 - 1043*q + 316*q - 6725)*(-3*q**3 + 1 - 1).\nAnswer: 2185*q**4 + 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwby when four letters picked without replacement from {y: 1, w: 1, n: 2, b: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + i**2 + 6*i + 7. Let c(k) = k + 1. Let q(o) = -o**3 + 9*o**2 - 7*o - 2. Let p be q(8). Give p*c(b) - j(b).\nAnswer: 2*b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a milligram in micrograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h + 5*m = -5, -4*h = -m + 24. Let o = 11 + h. What is the smallest common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 149*a**2 - 23*a**2 - 6*a + 8*a.\nAnswer: 126*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1286\/7 - 184. Let n be 1\/(4 - (0 - 0)). Let h = 4.05 + -0.05. Which is the closest to -0.1? (a) n (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyptppdtddtpp. What is prob of picking 1 d and 3 t?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d - 99 - 37 - 105 - 25.\nAnswer: 14*d - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -199704 divided by 4?\nAnswer: -49926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2042017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 117874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:20 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvs when three letters picked without replacement from {s: 5, v: 2, f: 1, y: 7, d: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 33100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 1 - (8 - (1 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 9 = 24*d - 25*d, -5*d = -20. Which is the closest to -1? (a) 22 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4131 + 295 + 15290 - 6277 + 10334)*(-h - 2*h + 5*h) to the form r*h + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093.21 years in centuries?\nAnswer: 10.9321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 * -0.1\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-122)\/366)\/(4\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381217*u + 1640412*u - 288486*u.\nAnswer: 1733143*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 72767 (base 8) in base 4?\nAnswer: 13113313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133818, 266270, 398716, 531156, 663590, 796018?\nAnswer: 928440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 94*i + 38*i = 28324. What is the remainder when 758 is divided by i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-8)*12\/16*-10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 95*d**2 - 112*d - 1678. Let l be k(-94). Let i(o) = o - 16. Calculate i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95.67 + 96. Sort g, -6\/7, -0.3 in increasing order.\nAnswer: -6\/7, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 (base 13) in base 15?\nAnswer: 1eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 25, 2*s - 18 = 4*s - 2*n. Let u = s + 3. Let x be -2 - -1*(-1 - u). Sort -3, 5, x in descending order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (28*9\/(-108)*9 - -7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 0*t - 35 = -3*t + 26, -4*o + 3*t - 74 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 12:41 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.58 - 12.28. Which is the closest to -3? (a) -0.4 (b) -3\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22609242 to the nearest 100000.\nAnswer: -22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u - 3*u)*(3*u**4 - 4*u**4 - u**4) + 26*u - 26*u - 5*u**5 + (0*u**2 + 0*u**2 + 7*u**2)*(0*u**2 + 0*u**2 + 2*u**3).\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -144, 11 in descending order.\nAnswer: 11, -4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 392382799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -78, -74, -68, -60, -50?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -5. Solve y = -l*s - 4, -s = 2*s + 2*y + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -733*i + 27282 = -727*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - h**2 + 729. Let k be s(0). Suppose 0 = -3*g - z + k, 0*g - 5*z - 503 = -2*g. Is 61 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5135 + 8026 = 107*k. Calculate the remainder when k is divided by 1 - 0 - (2 + -44).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:02 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (297 - 264)*(-1 + 119). What is the greatest common divisor of 88 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2. Suppose -15 = -2*y - 5*i, -3 - 7 = 5*y + 3*i. Let r be ((-6)\/(-10) + -1)*y. Let w(x) = x**2 + 3*x**2 - 3*x**r. Determine w(d(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*m = 244*m + 248*m + 1260 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/12*(-12)\/3. Put -1, 4, -2, f in increasing order.\nAnswer: -2, -1, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -23*p - 258. Calculate the remainder when 34 is divided by n(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 35 - 1095. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.8, 0.1, 21, 2\/9, 4, -1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/10 - 1 - (-1)\/1. Suppose 2*s = j - 2, -3*s - 8 = -2*j - 2*j. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36607 + 168480. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(5\/(-2016)))\/((-1)\/5). Calculate the highest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000964364467 rounded to 5 dps?\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(272) + sqrt(272)*-2*4 - sqrt(272)).\nAnswer: 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4788085.\nAnswer: 5, 197, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. Suppose 4*t + 12 = 0, 0*t = -c*p - 2*t + 204. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002647483 to 7 dps.\nAnswer: -0.0002647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3289309 and 849.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*u - g - 43, 5*g - 16 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138 or 0.949?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.27 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 4. Let w = 171 - t. Calculate the lowest common multiple of w and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -171, 23, 345, 795?\n\"Answer: 64*y**2 + 2*y - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 24 + -3 + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.3. Let z = 0.5196 - 0.0196. Which is the third smallest value? (a) 1 (b) j (c) -1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 12:21 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2436, 4996, 7688, 10518, 13492, 16616?\n\"Answer: z**3 + 60*z**2 + 2373*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((576\/(-100))\/(-8))\/(298\/(-745))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let j(m) = 3522*m. Determine h(j(p)).\nAnswer: 12404484*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -20. Suppose p*j - 9*j = -515. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*n**4 + 4*l**2*n - 6*l**2 + 1851*l*n - 1105 wrt n.\nAnswer: -4*l**2*n**3 + 4*l**2 + 1851*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7 + 50\/(-70))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((11 - -3) + 6)\/1. Suppose -23*v - 3 = -f*v. Let b = -7.3 - -8. Sort v, -4\/5, b in descending order.\nAnswer: b, -4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmeemmemgmummumuum. Give prob of picking 1 m, 2 u, and 1 g.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 5, -1, 0.01, -0.1 in increasing order.\nAnswer: -1, -2\/19, -0.1, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 2*p**2 - 5 - p**2 - 5*p**2. Is m(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.336352ml to litres.\nAnswer: 0.009336352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 11. Let r(l) = 3*l - 2*l + 10 - 2*l. Let a(v) = -5*q(v) + 6*r(v). Is 3 a factor of a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 5502?\nAnswer: -54c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(2736) + 1 + sqrt(2736) - (5*3*sqrt(2736) + sqrt(2736))) + 5)*-3)**2.\nAnswer: -30240*sqrt(19) + 4827204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/13)*a)**(7\/5)\/(a**(1\/2)\/a*a)**4)**11 assuming a is positive.\nAnswer: a**(-352\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27761701 by 1.\nAnswer: 27761701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 631524629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591181.\nAnswer: 591181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 554*n + 20657. Determine c(33).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 + 3540*d**4 - 14084*d**3 - 10628*d**2 + 49368*d - 28192 = 0. Calculate d.\nAnswer: -2, 1, 4, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054517036.\nAnswer: 2, 43, 719, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 - -47.9. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bb (base 15) in base 10?\nAnswer: -626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 165*x - 165. Calculate f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -13.3. Let j = -3488\/5 + 682. Let u = -531\/35 - j. Which is the nearest to -2? (a) u (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.61*-0.4.\nAnswer: 4.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8250329*h**3*y + 10381741*h**3 with respect to y.\nAnswer: -8250329*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022220022220 (base 3) to base 14.\nAnswer: -637c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15873 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-441)*-21*(12 + 5670\/(-465))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -5) + -6 - 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 339?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12336\/31 + -398. Which is smaller: 0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s - 8. Determine h(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 2*t + 4. Let n be f(3). Let b = n + -33. Let i(u) = 4*u**2 - u + 1. Give i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -1765087928355?\nAnswer: -1765087928362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 - 18. Give a(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(4 + 2 + 5 + (-380)\/35). Let d = 0.2 - 2.2. Which is the nearest to j? (a) 4 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 9*z**2 + 9*z - 7. Give o(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190837 is divided by 277.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 8 + 7)*(4*j - 4*j - 7*j**2) + 0 + 0 + 2*j**2.\nAnswer: 65*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + k + k = 160, 3*c = 3*k - 159. Let v = 510 - c. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -842*l + 847*l + 36 + 75 + (-1 + 1 - 2)*(4*l - l - l) + (-3 + 3 - 2*l)*(3 - 2 + 0) as r + z*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 42980.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 521 - 312. Let x be g\/76 + (-1)\/(-4). What is the third derivative of -8*f**x - 247*f + 247*f + 2*f**2 wrt f?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 8 (c) -2.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126224 = b - 418428. Let g = -1644652 + b. Round g to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 7, w: 1, y: 10}. Give prob of sequence yeby.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6457062*114.\nAnswer: 736105068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 146269, 146620, 146957, 147274, 147565, 147824?\n\"Answer: -f**3 - f**2 + 361*f + 145910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -50c2?\nAnswer: 50bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -20. Let w = -3 - 2. Which is the third smallest value? (a) 0.4 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 141 and 22.27724.\nAnswer: 163.27724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 4, -33, -70, -101, -120?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q + 4. Let f be 7 - (0\/3 - -3). Let z be l(f). Let h = z - 30. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 31*s**2 + 3930*s + 3004. Calculate c(-126).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26555 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + -90. Let q be (2\/z)\/1 - 27\/(-45). Determine g so that 4\/5*g - 8\/5*g**2 + 0 + q*g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (129 - 1) + (-24)\/6 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -122*k. Let y(a) be the third derivative of 1\/6*a**4 + k - 1\/6*a**3 + 0*a - 6*a**2. What is y(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f + 1. Let b = 1 + -1. What is the remainder when x(b) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 216*z**2 - 8*z + 8. Is 11 a factor of o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6886*c**4 - 3*c**2 - 316363 with respect to c.\nAnswer: 27544*c**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + -6 + (-3 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2\/2 + 2*v - 15. Give w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 5:58 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200001022012 + -102?\nAnswer: 11200001021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-84)\/35*(-80)\/(-6). Let j = z + 38. Let h(o) = -o**3 + 7*o**2 - 5*o + 2. Give h(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000)*1 + sqrt(4000) + sqrt(4000) - sqrt(4000))\/(sqrt(8) - (sqrt(648) + (sqrt(648)*-2 - sqrt(648)))).\nAnswer: 20*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*a - 44583 - 317. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**4 + d**2. Let k(b) = -12*b**4 + 5*b**2 + 17*b. Let x(p) = 5*g(p) - k(p). Find the second derivative of x(s) wrt s.\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 16*c + 8. Suppose 33 = 5*u - 8*u. Let v be k(u). Let l = -926 - v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - q = -q. Suppose 20 = -4*y, n + 31*y - 30*y - 1026 = q. What are the prime factors of n?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -4.61, 24, -0.08?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -896547000 to the nearest 1000000.\nAnswer: -897000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5968557)\/(-1055) - (-6)\/10?\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v - 3. Let u be a(-4). Suppose 0*r + 115 = u*r. Suppose -7 = -5*t + r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/9)\/((-45)\/(-5)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 743065?\nAnswer: 5, 353, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1464 - 1420. Suppose -704 = h - 5*h. What is the greatest common divisor of u and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 4. Let u = g + 3. Let f = -7 - -4. Sort f, u, 3 in increasing order.\nAnswer: f, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 24*g - 48. Let u be d(7). Suppose -2*k + 71 = 5*q, -2*k - 1 - 3 = 0. What is the highest common factor of u and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43338 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 44. Let h be p(9). Let l = 1199 + h. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14395 and 154190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 65*d + 3219. Give x(98).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 963744.2 litres?\nAnswer: 963744200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3\/6 + 38*h. Let s(b) = -1. Let a(g) = -2*g - 4. Let k(c) = -a(c) + 4*s(c). Give y(k(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 521926 divided by 2?\nAnswer: 260963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 20?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3014 (base 5) to base 13\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s*s**(-1\/4))\/s*s)\/s*s*(s\/s**(2\/13))\/s)\/(((s\/s**6)\/s)\/s**1))\/((s**(-2\/5)*s**(-2))\/(s**6*s*s*s**(-6))) assuming s is positive.\nAnswer: s**(3379\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.39015436 to 3 decimal places.\nAnswer: -10.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkxvgvhxvkvx. What is prob of picking 2 v and 1 k?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 40. Let u = 30 + -7. Let q = u - r. Which is the closest to -2\/7? (a) -1\/5 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*v + 5545 - 1681 = -23*v - 5*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let i(z) = 145 - z**2 + z**2 + z**2. Is i(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 4*f + 7. What is the remainder when 24 is divided by h(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -6. Let y = r + 7. Suppose 0 = -v + y*v. Solve v = -4*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + a + (1 + 1 - 1)*(0*a - 4*a + 5*a + (-2*a - 2*a + 2*a)*(0 - 4 + 6) - 8*a - 3*a + 5*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 683.95 - 684. What is the closest to -2\/3 in i, 2\/11, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(sqrt(20) + sqrt(220)\/(sqrt(33)\/sqrt(3)) - -6*(-1 + sqrt(20))))**2.\nAnswer: -131600 + 19200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-12))\/(3 - 508\/168). Suppose -r*x = -1781 - 1131. What is the highest common divisor of x and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 12 + 1)*(-1 + 3 + 0)*(-3*k - 2*k + 6*k).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 3*n)*(19*n + 0*n + 0*n)*(-1 + 18 + 8)*(-3 + 2 + 3 + (-3 - 2 + 6)*(3 - 4 + 3) - 4 + 5 + 1) to k + g*n + f*n**2 and give f.\nAnswer: 8550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = 2*q + 14432, -2*i = -2*q - 5768. Let z = -52033\/18 + i. Calculate the common denominator of 17*(-1)\/20 - 1 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, o: 6}. Give prob of sequence yyyo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1525, -2\/9, 1\/5 in descending order.\nAnswer: 1525, 1\/5, -1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = -4*t - 8, -x + 2*t - 1 = 0. Put x, 3, -1 in decreasing order.\nAnswer: 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-81)\/(-9)*-3*-77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90, -34, 24, 84, 146, 210, 276?\n\"Answer: y**2 + 53*y - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 30 - 11 = -5*s, -s = -1. Let q be 2 + b\/(-5) + -3. What is the second smallest value in -2\/7, -2\/19, q?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8551 - 17*s - 5*s + 7*s - 97*s**2 + 7*s - 12*s wrt s.\nAnswer: -194*s - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*v = 479*v + 40. Which is smaller: v or 278\/7?\nAnswer: 278\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 24240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.93582 + 0.06418. Let a = -3 - 0. Let n = 1.2 + -0.7. What is the closest to k in a, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 7*q - 14. Let z be s(9). Let v(i) = -9 + z + 5 + 4*i. Let p(j) be the first derivative of -2*j**3\/3 + 4. Give v(p(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36710 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 82*s**4 + 0 + 40*s**5 + 282\/5*s**3 + 16*s**2 + 8\/5*s = 0.\nAnswer: -1, -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68\/((-8)\/10 - (-69)\/87). What is u rounded to the nearest one hundred?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19\/4 (b) 1.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 3058.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3646, 2361, 1076, -209?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 2*u**3 - 2*u**5 - u**5 - u**4 + u**4 + (-1 + u + 1)*(-2*u**4 - 5*u**4 + 5*u**4) - 55*u**5 + 30*u**5 - 27*u**3 + 23*u**5.\nAnswer: -7*u**5 - 27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 16) to base 7\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 41*n**2. Suppose -2*z + 2*o - 1 = 7, -2*o = -10. List the prime factors of r(z).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26 = -5*t, 3*y = -2*y + 10. Let o(f) be the first derivative of 0*f**2 + 0*f - 2 - 1\/14*f**t + 2\/21*f**3. Factor o(d).\nAnswer: -2*d**2*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18177, -18176, -18175, -18174, -18173, -18172?\n\"Answer: g - 18178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 10*f + 11 - 11 - 6 + f**3 + 0*f**3. Let k be v(4). Let u be k\/20 - 24\/30. Which is the second biggest value? (a) 0.1 (b) -4\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -579 - 16737?\nAnswer: -16cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-1) + (-96)\/(-3). Let o(a) = -t + 36 - 6*a**2. Let l(c) = 4*c**2. What is o(l(m))?\nAnswer: -96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 1, t: 2, r: 1, v: 2}. What is prob of sequence rvt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3. Let z(n) = -6*n**3. Let x = -111 - -119. Give x*l(t) - 5*z(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x**2 - 494*x - 556. Determine j(36).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56358, 112738, 169120, 225504?\n\"Answer: g**2 + 56377*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 708538 to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + i + i**2)*(63*i**2 + 6*i**2 - 2*i**2 + 31*i**2) to the form j*i + q*i**4 + t*i**2 + s + x*i**3 and give q.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45990 - 43980.7. Let v = 2009 - c. Let f = -0.1 + 0.6. What is the third biggest value in 3\/7, -0.4, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1169 divided by 7.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111101001111001 - -1010111?\nAnswer: -1111111101000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1.19109, 2, -3?\nAnswer: 1.19109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 16) in base 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(5\/(-60)). Let -166*d**3 + 39*d**4 + 180*d**2 + d**p + 3*d - 16 - 11*d = 0. What is d?\nAnswer: -1\/4, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544.78 less than 1?\nAnswer: -2543.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18021962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2\/9 (b) 113 (c) 1\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19015797 to the power of 1\/2, to the nearest integer?\nAnswer: 4361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c. Suppose c = 22*q - 27*q + 10. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18910 and 220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/399 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 3*v**4\/4 + v**3\/6 + v**2 - 1268*v. Let a(u) = -14*u**2 - 2*u - 3. Calculate -5*a(p) - 8*g(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = 42*q + 184. Let b = 2740 - 2741. Sort b, 1, q in descending order.\nAnswer: 1, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 9 = 0, 2*l - 10*y + 12*y = 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5825283?\nAnswer: 3, 53, 36637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x + 1 = d, 0 = 5*x + 4*d - 4. Suppose 6 - 3 = -b + 3*h, x = 5*b + 3*h - 21. Solve -7*c + b*c + 4 = 0, 2*c = -4*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**6\/1980 + a**4\/33 + a**3\/3 + 8*a. Let s(r) be the second derivative of c(r). Determine n so that s(n) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + (3 - -7 - 7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2019 (b) 5 (c) -40\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-8))\/((-6)\/4). Let f = -20.1 + 20. Let i = f - -0.1. What is the third smallest value in i, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 5*c - 2*c)*(4 - 1 - 2) to v + r*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 37. Let a(m) = -3 + 7*m**3 + 2*m**3 - 11*m**3 - 4*m**2 + g*m. Let h(i) = -2*i**3 - 3*i**2 + 3*i - 2. Give 2*a(q) - 3*h(q).\nAnswer: 2*q**3 + q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 25 - 5. Suppose -h + 2*y - y - 1 = 0, h - z*y = -13. Factor 0*p**2 - h*p**2 + 5*p**3 - 2*p**3.\nAnswer: 3*p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 22*c**2 + 16. Let k(u) = -7*u**2 - 5. Let o(t) = 5*d(t) + 16*k(t). Let g(v) = 19*v**2. What is g(o(p))?\nAnswer: 76*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -61654415 (base 7) to base 5\nAnswer: -2311021314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -467.4 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22363\/963 + ((-80)\/36 - -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1183845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 1 = 3*j - 10, 4*i - 4*j = -12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/16851 and -41\/3120.\nAnswer: 17525040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - 7 + 2*i**4 - 2*i**3 + 3 as h*i**2 + z*i**4 + b*i + w + n*i**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-414)\/184)\/(-2*6\/74576).\nAnswer: 3, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.44795ug in tonnes?\nAnswer: 0.00000000000344795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 2. Let o be (-1)\/(-3) + (-10)\/3. Let l be 12\/54 + 83\/(-9). Let t be l\/(-15) - (-39)\/(-15). Let v(j) = j - 3. Give o*p(z) + t*v(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efwdaadwwwdfdwawwdew. Give prob of picking 1 w and 1 d.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 4*y + 10. Let h(m) = -m**2 - 3*m - 9. Determine 6*h(k) + 5*w(k).\nAnswer: -k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/15 + (-58)\/(-10). Suppose -h*t = -4*t - 4. Suppose -5*j + 7000 = -5*b, 3*b - t*j = -5610 + 1410. Round b to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.63 - -10.34. Let y = 29 - c. Does y = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 2056*j\/5 + 528392\/5.\nAnswer: 2*(j + 514)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k. Let q be z(4). Let j = 483 - 483.199. Let x = 5.199 + j. Which is the biggest value? (a) q (b) x (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 183*r**2 - r + 1. Suppose 5*h + 5*f = 20, 5*f - 2 + 0 = 4*h. Let c(v) = -v**3 + 3*v**2 - 2*v + 1. Let m be c(h). What is the units digit of x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eill when four letters picked without replacement from iellili?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f - 4808*f**2 - 9*f - 4847*f**2 + 9638*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtmm when four letters picked without replacement from {v: 1, m: 3, p: 5, d: 5, t: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 1 y when three letters picked without replacement from {p: 3, r: 1, o: 1, m: 1, b: 5, y: 3}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 12:46 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 4 - 4)*(-13*r + 13*r + 7*r**4) + 22*r**5 + 74*r**5 - 41*r**5.\nAnswer: 97*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g*g*g\/g**2*g)\/(g**(1\/7)\/(g**(2\/3)\/g))*(g**1)**(2\/57)\/(g**(-1\/2)*g**(-2\/5)) assuming g is positive.\nAnswer: g**(-10139\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -516 divided by 1979\nAnswer: -516\/1979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, -4, 49 in ascending order.\nAnswer: -4, -1, 10, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*y - 201*y + 212080 = 0. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*w**2 + 3\/5 + 3\/5*w**5 - 9\/5*w + 6\/5*w**3 - 9\/5*w**4.\nAnswer: 3*(w - 1)**4*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.029 - -2.056. Round m to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(88) + 3*(sqrt(88) - ((sqrt(88) - sqrt(88)*4 - sqrt(88)) + sqrt(88)))))\/(2*(-3*sqrt(80)*4)\/sqrt(10)).\nAnswer: 65*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 2*i - 4*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -21*k + 3. What is q(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*o + 6*o. Put -3, -1, o in descending order.\nAnswer: o, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:40 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385225?\nAnswer: 5, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-6))\/4*41\/(-287))\/((-15)\/(-6)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/11)*k)*k)\/k*k\/(k*k**(2\/11))*(k**(-2\/9)\/k*k)\/(k\/(k*k**2)) assuming k is positive.\nAnswer: k**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301.9 + -272. Let b = -29.66 + -0.34. Let s = d + b. What is the biggest value in -5, s, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-4)\/(22*22)). Round q to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:13 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 680\/7 + -97. Suppose -5*a = -106 - 44. Let b be ((-1)\/2)\/(5\/a). What is the smallest value in -1, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 i when four letters picked without replacement from niniinninninnnnnni?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 15) to base 16\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16423638901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + n**2 - 2*n + 1. Let b be z(1). Suppose 5*d - 4 = 6. Suppose -d*r + 16 = b*r. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + c?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-4))\/(-5)*184\/(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -115 in increasing order.\nAnswer: -115, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*156\/(-663).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:36 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103\/260 - -7\/65. Let x = 7\/13 + n. What is the closest to x in -1, -2\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 7 = 5*x, 4*w = -4*x - 24. Suppose 0 = 2*k - 22. Let z = k + -45\/4. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005259 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475 (base 15) in base 6?\nAnswer: -32145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (463*z**3 + 457*z**3 - 709*z**3)*(-3 + 0 + 2)*(12*z**2 - 107 + 107).\nAnswer: -2532*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-12)\/(-9))\/((-402)\/(-7839))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 4*p + 5*r - 22, 3*r - 6 = 0. What is the lowest common multiple of (1*3)\/(3\/18) and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 0.4, -4, 7\/4, 3, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4\/f*f**(-2\/9)*f**(-1)*f**(2\/3) assuming f is positive.\nAnswer: f**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 2*q + 4. Suppose 5*c - 11 = 4*c. Let t(v) = -31*v**2. Let m(d) = 56*d**2 - 5*d - 11. Let a(w) = m(w) + 2*t(w). What is c*n(p) + 4*a(p)?\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + h + 79 = 17*p, -h = -p + 22. Let z(n) = 13*n + 14*n - n - p*n. Let c(k) = 9*k. Give z(c(o)).\nAnswer: 63*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 700, 442, 6, -608?\n\"Answer: -89*w**2 + 9*w + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 92 (b) 2 (c) -3 (d) -0.5 (e) 0.2456\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 74 - 2 - v**3 + 2*v**3. Suppose -z - 3*a - 3 = 2*z, -5*a = 3*z + 5. Let p be t(z). What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/203 (b) 6\/7 (c) -34 (d) 6 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 395200061.0000542 + -395200189. Let c = -128 - p. What is c rounded to 6 dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -96, 0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521373.5 to the nearest one thousand.\nAnswer: -1521000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8829597*x**3 - 2*x - 4227395 with respect to x.\nAnswer: -26488791*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from qttdvttqtttovzt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7915, -62980, -212439, -503488, -983323, -1699140?\nAnswer: -2698135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2) + 2\/(-4). Let b be (s - 2) + -3 + 2. Let t = -3681\/13 - -283. Is b not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151735*f + 75945*f + 75787*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o - 5*x = 5, 0 = -4*o + 5*x + 1. Solve 0 = o*y - 2*u - 16, -3*y + 4*u + 10 = -7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = -0*v. Suppose 0 = 7*l - v*l. Solve -5*r = -l*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 41 - ((-171)\/(-228))\/((-2)\/8). Solve g*n - 38*n = 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-5) - -7)\/(3\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2340 and 8112.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/27, -5, 2\/473, 12, 1\/4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(28\/5)\/((f**(-2\/9)*f*f*f)\/(f\/(f*f**(-8)\/f*f*f))))\/((f**2)**14\/(f**(-2\/13)\/((f**(2\/5)*f)\/f))) assuming f is positive.\nAnswer: f**(-10958\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.3. Let j be (5\/1)\/(-1 - -2). Let m be ((-4)\/5)\/((-46)\/j). Which is the closest to u? (a) 5 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 8, -2, 4, -315, 228 in decreasing order.\nAnswer: 228, 8, 4, -1, -2, -4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 221a0b (base 14) to base 15\nAnswer: 17cd15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*p = 60, 3*d = -d + 4*p + 160. Let k = -7793 + 7805. What is the remainder when d is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(-19 + 19 + 10*n)*(-114*n**2 + 47*n**2 + 20*n**2) in the form t*n**2 + h*n + r*n**3 + k and give r.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 20*q**2 - q + 1. Determine x(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 + 1614*o**3 + 434166*o**2 + 38930218*o = 0.\nAnswer: -269, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c089 + 0?\nAnswer: -5c089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -l - 4*g, -678 = -l - 792*g + 447*g for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.521908 - -48.52189. Let x = 8.8 - 0.8. Let y = x - h. What is y rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:01 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 7*f**2 + 9*f + 12. Let g be z(-8). What is the derivative of 4 + 1 - g + b**2 wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21255 is divided by 511.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(272) - (sqrt(68) - (sqrt(68) + 1*sqrt(68) + sqrt(68)))**2.\nAnswer: -277 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 21 = 3*d, -34 = 9*d + 17*i + 61 + 10 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -18*h**3 + 10*h**2 - 22*h + 10. Let f(a) = -2*a**3 + a**2 - 2*a + 1. Let r(p) = -20*f(p) + 2*m(p). What is n in r(n) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 27*r**2. Suppose -18 = 5*b - 193. Let z(u) = -35 + u**2 + 0*u**2 + b. Calculate z(f(a)).\nAnswer: 729*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 78163032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 = -3. Let i(y) be the second derivative of 0 + 1\/6*y**4 - 2\/3*y**3 - 3*y + 0*y**p. Factor i(h).\nAnswer: 2*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*p. Suppose 5*r - 4*k = -p, -5*r - 9 + 4 = -5*k. Suppose r*q + q = -5*j + 2, 5*j = -3*q - 1. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 664\/(-234)*3\/(-13). Let n = i + 2\/169. What is the third smallest value in 3, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m)*(1926 + 2546 + 3051 + 1024).\nAnswer: -8547*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/28)\/(30\/(-8)). Let z = -0.7 + -0.3. Which is the closest to z? (a) 2 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(128) + sqrt(128) + 1)**2 + 5 + (sqrt(88)\/(sqrt(12)\/sqrt(3)))\/((sqrt(66)*1)\/sqrt(6)).\nAnswer: 33*sqrt(2) + 518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 4 + 7 + s**2 + 43*s + 0 - 2. Let r be w(-20). Solve 5*p = -4*d - 2, -2*p + r*d = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34970 and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(200) + 1)*-1 - (-5 + (sqrt(200) + -1)**2) - -3*((sqrt(200)*3)**2 + -1)).\nAnswer: 10*sqrt(2) + 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -56554272?\nAnswer: 56554268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 12:47 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 3, x: 2, a: 5}. What is prob of picking 1 a, 1 x, and 2 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 15 - 1. Suppose -2*p - 5*q + 53 = 0, 3*p - 83 = -2*p + d*q. What is the remainder when p is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -224 - -223.9. Let n = -7 - -19. Let m = n + -12.5. Which is the biggest value? (a) -0.6 (b) m (c) -5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*j**3 - 12*j**2 - 61?\nAnswer: 117*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69655514 not equal to 69655515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 11. Let q = -51 + 47. Let o(a) = -3*a + 12. What is q*o(w) - 5*v(w)?\nAnswer: 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 5. Let y be s(6). Let g = 3.15 - 2.6. Let m = 0.05 - g. Sort m, y, -2 in increasing order.\nAnswer: -2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002073347099 to seven decimal places.\nAnswer: -0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.5. Let o = 3 - 7. Let d = o - -4. What is the nearest to d in x, 1, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1729 and 691741778?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 1. Let r(l) be the third derivative of -3*l**4\/4 + 2*l**3 - 4*l**2 + 302*l. Let b = -4 - -5. Give b*r(h) - 12*a(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 182 = 38. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 6*i + i - 3*i + i + 0*i + (-5 + 4 + 3)*(-3*i + i + 4*i) - 2*i - 2*i + 5*i + 2*i + 1 - 1 - 3*i + 1 + 0 + 8*i.\nAnswer: 13*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = 2*l - 37*l. Solve l = 3*z - 5*r, z - 4*r - 30 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 8 - (-1265)\/(-99)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**5\/20 - 5*g**4\/2 - 28*g**3\/3 - 11*g**2\/2 + 120*g. Is w(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252335308 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 58*f**3 + 1 - 1 - 8*f**2 - 56*f**3.\nAnswer: -3*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -38574 rounded to the nearest one hundred?\nAnswer: -38600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 243.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660746886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3683 and 114427?\nAnswer: 3318383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3\/3 - 3274*k**2\/3 - 153778*k\/3 - 593538 = 0.\nAnswer: -23, 1683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oao. What is prob of sequence oao?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.79 + 2.79. Let h = 5 + -6.6. Let o = h + 2. Put p, o, 5 in decreasing order.\nAnswer: 5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7446247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 8)*(0*t - 2 - 2*t + t).\nAnswer: 4*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364916031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 14*u**3\/3 + 243. Let n(i) = -21 + 21 + 8*i. Determine n(c(j)).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24517404?\nAnswer: 2, 3, 31, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence off when three letters picked without replacement from {f: 6, o: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/120 - g**4\/24 + 14*g**3 - 831*g**2. Find f such that p(f) = 0.\nAnswer: -14, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18027812867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/120 + n**5\/60 - n**4\/3 - 26*n**3\/3 - 29*n**2 + 2. What is the units digit of i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 k when three letters picked without replacement from rmqmnrmbqmrqqrkmr?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 15*r**2 - 12*r.\nAnswer: -3*r*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 - k. Let a be (-3)\/18 + (-22)\/12. Let q be y(a). Solve -g + 7 = -q*f + 3*f, -4*g = -f - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 9*s - 8. Let h(o) = o + 1. Let v be h(-1). Let y be 11\/1 + v + -4. What is b(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/616)\/(3\/(-20)) - 0\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/23)\/d**(-8\/3))**(-2\/3)*(d**2*d*d*(d*d*d**(-1\/13)*d*d)\/d)**(-3\/10) assuming d is positive.\nAnswer: d**(-10217\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1540 and -49\/480.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 669*g - 5*g**3 + 4*g**3 + 675*g + 2*g**4 to o + q*g**4 + l*g + p*g**3 + n*g**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 3700*z.\nAnswer: -4*z*(z + 925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2. Let r(w) = -8*w. Let u(c) = -15*c. Let k(o) = 5*r(o) - 3*u(o). What is m(k(q))?\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 18 = -4*i, n + 173 - 175 = 0. Solve i*o - 10*o = 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*x - 5*x = 14, 0 = -4*x - 20. Let k(f) = -6*f - 6*f - 1 + 0*f. What is the tens digit of k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/45 + (5 - 2 - 3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 - 201. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1172 and 80.\nAnswer: 23440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -121, -4\/3, -3?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8960 and 143360.\nAnswer: 143360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/108? (a) -0.5 (b) -86 (c) -1\/4 (d) 2\/9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 67. Let t be ((-1)\/(-2) - g)*2. Suppose -2*s = -0*s - 4. Sort -5, t, s.\nAnswer: -5, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkh when three letters picked without replacement from {k: 9, t: 1, h: 2, s: 4}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 661 = 670. Let x(w) = -w**3 + 11*w**2 - 16*w - 17. Determine x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:31 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let k = -243 - -247. Suppose -k*g - 2*a = a + 10, 4 = -2*g - a. Put 1, b, g in ascending order.\nAnswer: g, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -g - u, -3*u = -6*g - 4*u - 27. Is g greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12503, 12505, 12507, 12509, 12511?\nAnswer: 12513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 80131029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 + 2*d - 8. Let x(h) = 7*h**2 - h + 9. Give 5*i(y) + 4*x(y).\nAnswer: -2*y**2 + 6*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 405411.7 centuries?\nAnswer: 40541.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8781 divided by -47\nAnswer: 8781\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let d = -2 - -2. Suppose 0 = -0*r - 26*r - 104. What is the closest to j in -2\/13, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/85 + -1 - (16 + 18324\/(-306)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 23 - 183. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 + 9 = -20*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*o + 2470, -4*o + 2*r = -2*o - 976. Let n = o + -302. Calculate the greatest common factor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -58, 191 in descending order.\nAnswer: 191, 1, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.94 * 3876\nAnswer: -3643.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 875937399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -30.5. Let g be ((-15)\/100)\/((-6)\/(-5)). Which is the second biggest value? (a) g (b) k (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4280 (base 11) in base 3?\nAnswer: -21202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 204159413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*s**3 - f + 56*s**3 - 27*s**2 + 1 wrt s.\nAnswer: -6*f + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/40)\/(-3)*2170\/(-124)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65, 474, 1593, 3776, 7377?\n\"Answer: 59*v**3 + v**2 - 7*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -186161171.817 and 0.1?\nAnswer: 186161171.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 980482.2 days?\nAnswer: 84713662080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15 = b, -2*b - 5*o = 2*b + 25. Suppose u + n = -4 - b, -27 = -2*u + 5*n. Let j(x) = -6*x**2 + 2*x - 1. Give j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/7*p**2 - 6\/7*p + 1\/7*p**4 + 2\/7*p**3 + 0.\nAnswer: p*(p - 2)*(p + 1)*(p + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 480 + -465. What is the greatest common divisor of 105 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -3*(-21)\/9. Let x be (-3 - -1)*(-5)\/2. Are x and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -665655*o*u + 465*o - 129 wrt u.\nAnswer: -665655*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k + 51. Let h be w(-12). Let d be (-7)\/42 - ((-137)\/(-6) + -1). Let y = 3 - d. Solve 15 = h*q - f, 5*q - y = -5*f + 3*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2021 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -126 (b) -0.056 (c) 0.2 (d) 0 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 2*o - 3*o)*(-1 + 6 - 4)*(-5 + 1 + 1) - 5*o + 1150 - 1156 + 6*o.\nAnswer: -5*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1022c4?\nAnswer: 1022c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, i: 6}. What is prob of picking 1 b and 3 i?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 5) in base 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169732544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 9 = -33*v. Let y(r) be the first derivative of -15*r**2\/2 - 4*r + 5. What is the units digit of y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**3 - 12*v**2 + 13*v - 19. What is the units digit of s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1683?\nAnswer: 167d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1800998*q**5 + 355*q**2 + 3195 wrt q.\nAnswer: 108059880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 318*v**3*z**2 - 130*z**2 wrt v.\nAnswer: 954*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20475 divided by -2.\nAnswer: 20475\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 40*c**2 + 2 - 2 - c - 31*c**2. Let h be o(1). Solve 23 = 5*m + h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 4*f + 1. Let x be k(5). Let j = -28 + 20. Let o be (-6)\/j + (-1)\/x. Solve -2*a + o = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 19 = -5*o, 5*r = -7*o + 2*o + 20. Suppose 0 = -3*v + 16 - 4. Let w(f) = -2*f + o*f + 5*f + v + f**2. Calculate w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1324 + 11241?\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 2 + 4*1. Suppose 2*d - n*g + 24 = 4*d, -5*g + 18 = 2*d. Calculate the least common multiple of 2 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14*s**3 - 7. Let w(i) = i**3 + 1. Calculate -3*q(x) - 21*w(x).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*w + 3065 - 77 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i - 3. Let p be s(-3). Let m be 7\/((-14)\/(-106)) - (0 - 1). What is the highest common factor of m and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10099860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*4\/120*-15?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11401977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.63 + 2.13. Let k be 1 + 0 + -6 + (-141)\/(-27). What is the second biggest value in -35\/9, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 4 + 4)*(-3 + 3 + j) - 1 + 1 - 8*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149223?\nAnswer: 3, 49741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uub when three letters picked without replacement from iukbbuek.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 142907814 to the nearest 10000.\nAnswer: 142910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242490 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1204705, -2409436, -3614185, -4818958, -6023761?\nAnswer: -7228600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-4*sqrt(176))**2*5 - (sqrt(99)\/(sqrt(9) + sqrt(81)\/sqrt(9)*-6 + sqrt(9)))**2) + 2.\nAnswer: 225253\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1}. What is prob of sequence ms?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -28. Let n = 14 + m. Let u be 3*14*16\/n. Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -5*p**3\/6 - 5*p**2 + 17*p. What are the prime factors of u(-9)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211120213011 - 3?\nAnswer: -211120213014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 7*b - 9. Let g be o(6). Let t be (-1)\/(g\/(-5550000))*-2. Round t to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 0 - sqrt(26)\/(sqrt(8)\/sqrt(4))) + (sqrt(104)\/(1*sqrt(200))*-6)**2.\nAnswer: 3*sqrt(13) + 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(20) + (sqrt(160)*5 - sqrt(160))\/sqrt(8)))\/(sqrt(100)*2 + 4*sqrt(16)\/sqrt(4)).\nAnswer: 25*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -377 + 381. What is the third smallest value in -2, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 15. Let p(o) be the first derivative of 0*o - 3 + 3\/4*o**4 - o**2 + 0*o**c. Find the second derivative of p(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**3\/3 - 4530*n**2 - 27135*n - 40680 = 0.\nAnswer: -2712, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(726\/(-12)) - 40\/220. Solve -109*d + 114*d + 10 = r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1134, -2273, -3412, -4551, -5690?\nAnswer: -6829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/195 and 64\/102895.\nAnswer: 308685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 176516369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:04 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 341536 and 170768?\nAnswer: 341536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 1) + 14\/(-2) + -29.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o**3 - 6*o**2 + o + 6. Let t = -52 + 67. Let j(a) = t*a**3 - 13 + a**2 - 13*a**2 - 2*a + 25*a**2. Calculate 6*j(l) + 13*n(l).\nAnswer: -l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 792228 divided by -12\nAnswer: -66019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/15 + 36*l**4\/5 - 46*l**3 - 19928*l**2\/15 - 32032*l\/5 - 46464\/5 = 0.\nAnswer: -4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 m when four letters picked without replacement from bmfxefxm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564, -1665, -3506, -6093, -9432, -13529?\nAnswer: -18390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 422954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 112\/12*(216\/(-42) - -6). Let l be -3 - (-2)\/((-24)\/(-38)). What is the closest to -1 in l, j, 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.62 - 2.72. Let z be 4\/(-14) - 4\/35. What is the nearest to s in z, -1, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36630 greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/13 + 121076*r**2\/13 + 27942*r.\nAnswer: -2*r*(r - 60541)*(r + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 142*i + 397. Determine c(-34).\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63550 is divided by 63536.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/8 (b) 2 (c) 18.396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - 38 - 32) + (20 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-4))\/((18\/884)\/3).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -10.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 156\/7 - -1 - (-70)\/(-245). Which is the closest to 4? (a) g (b) 0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-340))\/(3*5\/150). Factor 10\/17*k**2 - v - 2\/17*k**3 - 6\/17*k.\nAnswer: -2*(k - 3)**2*(k + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/85554959 and 3\/4.\nAnswer: 342219836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 20*f - 6. Let d = -55 - -35. Let b be s(d). Is 1\/(8\/(-5412))*4\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -7)*2\/(-4). Let h be 11 - -45*13\/(-65). Solve -10 = -h*n - 2*f + 2, -5*n = -b*f - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -28*i**2. Let o(b) be the second derivative of -b**3\/3 - 7*b. Give o(u(d)).\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 29. What is the smallest common multiple of 3 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13+-13202\nAnswer: -13215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1 + sqrt(13))**2*4 - (sqrt(13) + sqrt(39)\/sqrt(3) + -1)**2.\nAnswer: 20*sqrt(13) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -374885 divided by -74977?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (237 + 61 + 0)*(4*f**2 - 7 + 7).\nAnswer: 1192*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-171)*630\/(-1050)?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*u - 8. Solve -u*g - 1 = 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6484 - 6483.9942054. What is y rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 22*m - 14. Give y(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110806063?\nAnswer: 110806063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00698185 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2)*(-104)\/16. Let d = 20 + z. Solve -2*v - 7 = -5*x, 3*x - d*x = -v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqbt when four letters picked without replacement from iqidiiqaibitqqa?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (384 + 1039 + 5)*(1 - 1 - x)*(2 - 7 - 3)*(-3*x + x + x)*(0*x - 4*x + 2*x).\nAnswer: 22848*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -82*k**4 - 6*k**2 + 60*k. Let b(j) = 246*j**4 + 17*j**2 - 181*j. Let h(c) = 6*b(c) + 17*p(c). Find the second derivative of h(o) wrt o.\nAnswer: 984*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1050 * 19942\nAnswer: -20939100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/5, 4, -7, 6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/5066 + -10165\/55726. Which is the fourth smallest value? (a) -1 (b) 1\/6 (c) 1\/2 (d) 1\/11 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-180)\/(-24)*(-2)\/(-3). Suppose z*p + 29 = -4*v + 103, 5*v + 20 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/6, 4, -2\/13, 0.07475, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3848 + 1992 - 5252*a + 1856)*(4*a + 2*a**2 - 4*a) in the form u + l*a**3 + m*a + q*a**2 and give l.\nAnswer: -10504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*n - 162*n + 184*n = -490*n - 18304 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1611.45856 to 1 dp.\nAnswer: 1611.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340318057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*c - 55*c - 1593*c**2 + 151*c - 50*c - 875*c**2 to t*c**2 + u*c + m and give t.\nAnswer: -2468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*w = -z - 77, 2*w + 314 = -4*z. Let n = 83 + z. Let r = 20 - n. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3\/7, 2\/13, 8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - j + 37 = 0, 3*g - 3*j = 141. What is the greatest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 3*z**2\/2 - 1. Let d(g) = -2*g**2 - g - 1. Let p(w) = -15*w**2 - 7*w - 7. Let q(a) = -35*d(a) + 5*p(a). Determine q(n(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2 + 2 + 56. Let h = -46 + o. Calculate the highest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(180))\/(-4*sqrt(4)*-1))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u**2 - 4*u - 9. Let g be 11 + 8 + 0\/1. Let m = g - 23. Let d(p) be the first derivative of -5*p**3\/3 + p**2 + 4*p + 2. Determine m*a(v) - 9*d(v).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7388 + -7393. What is the fifth smallest value in 36, 0.13, 2\/5, 1\/6, p?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7036 and -968.\nAnswer: 6810848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/((-4)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + 3*a - 6*a)*((4*a - 3*a - 3*a)*(3 - 3 - 2) + (-1 - 1 + 0)*(0 - a + 0) + 0*a - 7*a + 4*a) to the form s*a**2 + t*a + u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-2)\/(-8)*(-1 - -7). Differentiate -13 + m + 17*m - 2 - s wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(8*l + 0 + 0 - 3)*(-33*l - 2*l - 8*l).\nAnswer: 344*l**2 - 129*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0.08, -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 201661 and 3.\nAnswer: 604983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {o: 2, w: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 3*k + 10. Calculate z(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 13. Let a be d(-7). Let y be a*2\/(-3) + -1. Let z(i) = i + 2. Calculate z(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275177759.\nAnswer: 17, 16186927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000529884077 rounded to seven dps?\nAnswer: -0.0005299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 7*f = 6, -3*f = -3*p - 8*f + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 7631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 40 = 5*r, 2*r = -g + 15. Put -8, g, -4, 3 in decreasing order.\nAnswer: g, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 25044035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -560033776.97 less than -0.95?\nAnswer: 560033776.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 35036306?\nAnswer: -35036314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -26*c**3 + 8*c**2 + 9*c - 1. Is l(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)\/u**(-1))\/(u**1)**13 assuming u is positive.\nAnswer: u**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.3531 and -18671?\nAnswer: 18673.3531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, -11010?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13 - 13 + 26 - 67*g**2 - 102*g wrt g.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25978, 21332, -3 in descending order.\nAnswer: 21332, -3, -25978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(((-164983)\/98)\/91)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - (-4 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z + 7*z + 1 - z. Let m(c) be the first derivative of 6*c + 9\/2*c**2 + 1\/3*c**3 + 8. Give -m(q) + 6*n(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-8)*4*(-4)\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddodo. What is prob of picking 3 d and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.03 + 14. Let j = q + -0.17. Let m be -1 - (2 + (-123)\/39). Which is the closest to 0.1? (a) m (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*m**3 + 2)*(1086 + 417 + 55).\nAnswer: -4674*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/9*-2*-4*2397\/(-136)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82943200 rounded to the nearest 1000000?\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*k - 2. Let x be (0\/(12\/(-4)))\/k + 10. Solve 5*v + x = 4*n, 4*v - n - 5 = -13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12011332 (base 6) to base 13.\nAnswer: -101837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 80.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21457*z**4 + 23204*z**2 wrt z?\nAnswer: 514968*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-45)*1)\/(30\/(-25)). Which is the nearest to 0.2? (a) 0 (b) 5 (c) z (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 - 3*i**3 - 2*i**4 - 3 - 4*i**4 + 4*i**4 to l + d*i**3 + n*i**2 + a*i**4 + k*i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {e: 3, r: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022606 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 - -239. Suppose i - 4 - k = 0. Is ((-4)\/(-10))\/(2\/i) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 1328 = -4*n, 5*n = 4*l - 1373. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = 0, -3*s + 7*f + 35 = 2*f. Suppose -101 + 16 = -s*t. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054654 rounded to four decimal places?\nAnswer: 0.0547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1)\/(11\/220). Solve -3*r = 2*r + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-11)*((-39816)\/(-28))\/(-79)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 47\/5193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -488 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 149673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*g + 109015, 52*g = 49*g - 12. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*d + 461*d - 884*d.\nAnswer: 71*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 5*h - 5. Let w be s(4). Let c be (-9)\/(-6) + w\/(-2). Let v(q) = -q**2 + 7*q - 3. Let j be v(6). Solve -j*o - 25 = c*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2354, -11.\nAnswer: -2354, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820640622.\nAnswer: 2, 7591, 119921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393243936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 3*j**2 + 2*j + 2. Let p be r(3). Let l = p + -2. Suppose 3*v = v + l. Solve -v - 3 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59768, 59769, 59770, 59771, 59772?\nAnswer: 59773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/5, -2, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/12 + 5*j**3\/6 - 21*j**2. What is the derivative of i(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = p - 9, q = -4*p - 0*p + 22. What is the second derivative of 5*g + 16*g**p - 9 + 12 - 67*g**5 - 3*g wrt g?\nAnswer: -1020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4385469, -4385471, -4385473?\nAnswer: -4385475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000931573 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72159 = 129*h + 24983 + 34018 for h.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18237*x**2 + 3*x + 10259 with respect to x.\nAnswer: -36474*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.765 + 7.16. What is x rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2642, 2639, 2636, 2633, 2630?\n\"Answer: -3*j + 2645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-40))\/(8\/(-10))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278808.\nAnswer: 2, 3, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1270222, -1270247, -1270272, -1270297?\nAnswer: -1270322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256914*k - 50*k**3 + 256914*k + 4*k**2.\nAnswer: -50*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:22 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 30*n - 81. Let j be h(4). Suppose j*x - 38*x - 3 = 0. Solve 5*g = 0, x*g + 3 = -3*u - 2*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 14 - 89 = -o, 3*i = o + 225. Let v(w) = -i*w - 3 + 1 + 24*w. What is the tens digit of v(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + 12761.\nAnswer: 12760.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/9*z**2 - 16\/9 + 2\/9*z**3 - 8\/9*z = 0. Calculate z.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-4 - (-3)\/(-1). Let s = 1 - q. What is the remainder when 13 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5533 (base 6) to base 9.\nAnswer: 1673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/393 and 43\/5448.\nAnswer: 713688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 111, 2\/13, 37954 in ascending order.\nAnswer: -23, 2\/13, 111, 37954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 704.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9614933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 287*o - 90248. Calculate c(296).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107339452 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cockkctccotcocco. What is prob of picking 2 k, 1 c, and 1 o?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/(50\/(-150)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 22 - 2. Let x = -2 + s. Suppose 3 = m - 2. Solve 9*y = x*y - m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 r, and 2 z when four letters picked without replacement from llzzqlyyqqyazlqzr.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -263 (c) -0.6 (d) -10 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*v**2)*(-8*v**2 - 6*v**2 + 33*v**2) + v**4 + 40*v**3 - 36*v**3 + 6*v**4 as n*v**4 + b*v**2 + l*v**3 + m + t*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/114 and 29\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -15?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/4 - -18) + -7 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:37 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109843*o + 109778*o + 2572 - 587 + 1915 = 0 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2190*o**2. Let q(x) = 0 + 1194*x - 1192*x + 9 - 9. Determine q(u(p)).\nAnswer: -4380*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -714*v + 816. Let n(w) = 2*w + 6. Calculate -136*n(d) + x(d).\nAnswer: -986*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68667\/7570 - -22\/757. Find the common denominator of -27\/22 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50570683 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**3\/3 + s. Let j(x) be the first derivative of x - 3. Let t(c) = -c + 5. Let q(n) = -5*j(n) + t(n). Determine q(v(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-28))\/((-1)\/(-592)). Let s be 4\/(-10) + d\/10. Let h = s - -2. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -2)*1 + 2. Suppose -10 = -v*j + 2. Solve 32 = 3*q + 5*o, q + j*o = 6 + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4774.983 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4636975 + 422432.3.\nAnswer: -4214542.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7200 and 6048?\nAnswer: 151200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 45. Suppose c + 0*c - a = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 3. Determine o(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 18*j**2 - 13*j - 72. Let c be n(17). Let i(v) = -7*v**2 + 1. Let w(l) = 13*l**2 - 1. Calculate c*w(g) - 7*i(g).\nAnswer: -3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 118, 122, 126, 130, 134?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -a - 5*m, 3*a + 0*a - m - 95 = 0. What is the remainder when a is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(10\/((-240)\/12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/51 and 25\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1313, 2298, 3283?\nAnswer: 4268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 25294312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let s(b) = -3 + 13 - 1649*b - 9 - 1. Determine s(c(y)).\nAnswer: -1649*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14815 = 7*c + 115. Suppose -2*b + 4*d = -1538, -5*b + 4*d + c = -1745. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1311310 times -0.16\nAnswer: -209809.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r - 2. Let a(p) = 31*p + 5. Determine -2*a(u) - 5*c(u).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -776*j**3 - 208*j**2.\nAnswer: -4656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -851 + 853. Let i(s) be the second derivative of -1\/6*s**4 + 0*s**3 + 0 + 0*s**x - 23*s. Let u(d) = -19*d**2. Calculate i(u(o)).\nAnswer: -722*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 0.8. Let z = 5 + -3. Which is the second smallest value? (a) m (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(720))**2 - (sqrt(5) - ((-2*sqrt(605) - sqrt(605)) + sqrt(605) - sqrt(605))**2).\nAnswer: -sqrt(5) + 8325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2607426 rounded to three dps?\nAnswer: -0.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 2, g: 2, p: 2, c: 8}. What is prob of picking 2 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -465 + 509. Solve 8*h - 19*h = -z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -80*j - 784 + 135 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 - 94 - 73 + 288)*(4*j + j - 3*j) + (10 - 2 + 1)*(-j + 4*j + 0*j) as l*j + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 1, t: 2}. What is prob of sequence pw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x - 28\/17*x**2 + 0 + 2\/17*x**3.\nAnswer: 2*x*(x - 17)*(x + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:02 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -694 + 306. Let m = -388.361 - v. Round m to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81525 is divided by 27133?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -3 (b) 1 (c) -0.08 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65) - 2*sqrt(65)))\/sqrt(5) - sqrt(130)\/(-3*sqrt(250)).\nAnswer: 31*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/24 + 13*n**3\/6 + 4*n**2. What is the units digit of s(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(15\/25)*(-4)\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8aa88a (base 12) to base 11.\nAnswer: 128436a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (0\/2 - 2). Let v(a) = 251829*a + 1579844*a + 422172*a + 696155*a. Let k be v(u). Round k to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 at most as big as -2044\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) 2\/11 (c) 76120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxjxxj. Give prob of picking 1 x and 2 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10 + 0*y**3 - 9*y + 10*y**2 - 4*y**2 + y**3. Let s be z(-7). What is the derivative of -2*c**4 - s + 5 + c**4 wrt c?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 882.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -123121 (base 4) to base 2\nAnswer: -11011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45213048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**3 - 1887 + 1887 - 1 + o**3 + 1 + (-4*o**2 + 3*o**2 - o**2)*(-o - 2*o + 5*o) to v*o + l*o**2 + u + d*o**3 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyyyeyeyey. Give prob of picking 1 e and 3 y.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(1 - (-4)\/(-3)). Let u(v) = 3*v - 1. Let m(g) = -g + 1. Give n*u(t) - 2*m(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 3860.1488?\nAnswer: -3855.1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5814952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030128 centuries in millennia?\nAnswer: 0.00030128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, -0.115.\nAnswer: -2, -0.2, -0.115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnd when three letters picked without replacement from {n: 4, t: 4, d: 2, z: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 10*r + 8.\nAnswer: 2*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**6\/60 - 5*u**5\/12 - 11*u**4\/24 - 3*u**3 - 2*u**2 + 322*u. What is d(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*a + 32*a - 162170. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**3 + 477812*a**2 = 0. What is a?\nAnswer: -119453, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.416 times -0.2086?\nAnswer: -0.0867776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 2*t**2 + 3*t**5 + (t + 0*t - 2*t)*(-t**4 + t - t) + (-3*t**3 + 2*t**3 + 3*t**3)*(8 - 4*t**2 - 8) - 2*t**5 + 6*t**5 - 3*t**5.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.6 + -47. Let w = x - -4. Which is the closest to 9? (a) -0.5 (b) -1\/10 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h)*(-329 + 136 + 121).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 6465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*v - 1176 = 0, 29*h + 4*v = 25*h + 4664. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 1 + 3*b**2 - 6.\nAnswer: 3*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (7 - (-7 - -13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 + 5 + 67*i**2 - 3 - 3*i. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*2 + 2*sqrt(121)*2)\/(sqrt(77)\/(sqrt(448) - sqrt(448)*4)).\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.011 - 0.281. Let c = i - -1.27. What is the nearest to 6 in -3, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553610 and 69745?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*o + o. Let q be (-3)\/((-4)\/(464\/o)). Let k = q - 19. Which is smaller: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256809 divided by 8.\nAnswer: -256809\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 637, 953, 1269?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 0.097 (c) -913.55 (d) -2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 + r + 2. Let z be w(0). Suppose -2 = z*t - 0*t. Which is bigger: 1\/16 or t?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00697753965 to five decimal places.\nAnswer: 0.00698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -68842, -16, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24238 smaller than -24238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.48 * -8.\nAnswer: -115.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - (-34 - (-74 - -24))) + (-1 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45, 93, 173, 285, 429, 605?\n\"Answer: 16*f**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 + 6080*x**4 + 1866470*x**3 + 11035200*x**2 + 16471125*x.\nAnswer: 5*x*(x + 3)**2*(x + 605)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140507?\nAnswer: 23, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 130. Let w = p - -129. Which is the closest to 0.1? (a) -5 (b) -6\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(130)*-2 - (sqrt(130) + (sqrt(130) - -2*sqrt(130))*2))\/((-4*sqrt(100)\/sqrt(2) + sqrt(50))\/(sqrt(720)*-2 - sqrt(5))).\nAnswer: -475*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*-52.298\nAnswer: 313.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70610 + -63?\nAnswer: 7057a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*i + 81, -4*a = 4*i - 5 - 103. Calculate the highest common factor of 11367 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 51981150?\nAnswer: 103962300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.97 - -80.63. Let l = -7 + c. Let h = l - 76. What is the nearest to -1\/2 in -1\/6, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 33*b**4 + 2*b**2 + 9*b + 5. Let o(p) = -100*p**4 - 7*p**2 - 28*p - 13. Let y(x) = 2*o(x) + 7*u(x). Find the second derivative of y(d) wrt d.\nAnswer: 372*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:33 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -346, -1\/3, -5, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.4442 millennia to years.\nAnswer: 44444.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + ((-8)\/48)\/(126\/(-2196)). Sort -3\/7, 6\/13, -1, w in ascending order.\nAnswer: -1, -3\/7, w, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22080 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113221 + -2?\nAnswer: 113214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - k**3 - 79 - 2*k**2 + 10*k**2 + 3*k**3 in the form i + s*k**2 + b*k + t*k**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 2569636*y**2\/3 + 71946280*y - 1510847184.\nAnswer: 2*(y - 1284734)*(y - 42)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from dfcfihdffppdpdff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, 76, -2, 3 in ascending order.\nAnswer: -2, 3, 5, 16, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 2*w**2 - 13*w + 4. Let p be a(0). Sort 6, p, 5 in increasing order.\nAnswer: p, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11 - 27 + 15 + 15*d. Calculate g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q**2 + 1. Let l(k) be the first derivative of k**4\/4 - k**3 - 5*k - 6. What is 3*b(m) + l(m)?\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/(43\/(4085\/38))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z + 117856 - 117856 + 9*z**2 in the form i*z**2 + a + l*z and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -26, -7, 5, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 8, 4*u - 2982450 + 550834 = 3*z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (72\/(-108))\/(10\/(-2265)). Which is smaller: 167 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u + 3. Let r(x) = -14*x - 9. Let j(b) = 2*r(b) + 7*z(b). What is j(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)*d)**(-37)\/((d**5*d)\/d*d**(-3\/5)) assuming d is positive.\nAnswer: d**(-1427\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)*(((y*(y*y**(-2\/11))\/y*y)\/y)\/y*y)\/y)\/((y**(2\/11)*y)\/(y*y**(-1)\/y)) assuming y is positive.\nAnswer: y**(-89\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7*(-1128)\/(-1932) + 51\/207\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(1\/10)*((v**(-1)*v)\/v)**(-2\/7) assuming v is positive.\nAnswer: v**(27\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 3 - (-2 + 1). Let q be 2 + 1 + -6 + 5. Let t be 3\/(-2 + 7\/q). Solve w*u + 8 = -t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6872 - -42925. What are the prime factors of k?\nAnswer: 3, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -2456312\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 25 = -5*x, -9 = 3*x - 3*w - 27 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 53*d - 1. Let f(n) = 2146*n**2 - 106*n - 1990. Let a(r) = 3*f(r) + 6*s(r). What is the derivative of a(t) wrt t?\nAnswer: 12864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 345?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 take away 1632?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2 - 1) + 3. Suppose 0*w + x*w - 26 = 0. What is the remainder when (3\/(-6))\/(1\/(-72)) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + z - 8, -x = 3*z - 5 + 1. Let p(q) = 2*q**2 - 6*q - 19. Let t be p(5). Sort t, -20, x in decreasing order.\nAnswer: t, x, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 348 + -347. Which is the third smallest value? (a) -2 (b) u (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.97. Let d = -0.35 - -0.58. Let g = y - d. What is the biggest value in g, 2\/21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -75. Suppose 0*y + 30 = 5*y + 5*j, 5*j - 2 = 2*y. Suppose z - 2*w - 3*w = -2, -61 = -4*z - 3*w. Solve -3 = -y*k + l*k, q + 3*k + z = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g - 5\/2*g**2 + 2. Give d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -79. Solve 0 = -n*w - 6 - 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mluw when four letters picked without replacement from muummmwwlugl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225751.1 millilitres to litres.\nAnswer: 225.7511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-5))\/(6\/80) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-3))\/(-2))\/(200\/300)*-13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -252 - -804. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 - 3*w**2 - 3*w + 2. Let o be q(-2). Let a = -3 + o. Suppose n = -2*n + a. What is the lowest common multiple of n and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 7 + -4 - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-284)\/10*(-5)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 3. Let z(j) = 25*j - 38. Let r(i) = 6*q(i) + z(i). Determine r(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 6:08 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -413.307 + 413. Let i = p - -0.30700419. Round i to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7967.748 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 9*j - 12. Let o be w(-9). Let y = o + 9. Let c be -1*3\/y - -9. Solve q + c = -0*m + 3*m, 3*q + m + 10 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*z = o + 180*z - 53, -5*o + 4*z + 118 = 0. Solve -o = 71*p - 444 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10164 and 38904?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + 12\/(-148))*(-3)\/(-6) and 40\/(-105)*33\/(-4).\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, 2300, -10, -3 in decreasing order.\nAnswer: 2300, 18, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(112\/4)*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - g + 163 = -248, 2*g = 2. What is the common denominator of 113\/672 and ((-3)\/10)\/((-60)\/f)?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24092 by 2.\nAnswer: -12046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 44. What is the greatest common factor of 77 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32160907 to the power of 1\/2, to the nearest integer?\nAnswer: 5671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3766.\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 15*m - 17\/30*m**6 + 0*m**3 + 0*m**5 + 1\/2*m**4 + 0 + 0*m**2. What is the third derivative of l(n) wrt n?\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adag when four letters picked without replacement from {d: 3, g: 7, o: 8, a: 2}?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q**2 - 33*q**2 - 1020*q**3 - 34*q**2 + 102*q**2 + 1015*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 201159288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 20 + 13 = 0. Let o(k) = 4*k**2 + 9*k - 7. Let z be o(l). What is the tens digit of (-1)\/((-1 - 2)\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 44. Let a be p(-17). Suppose -2*c = -2*q - 2, -3*c + 10 = -4*q + 1. Let f be (-22)\/q + a\/(-30). Solve 0 = -d + f - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.7 (b) 1\/4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 841 + -845. Calculate the common denominator of 65\/108 and i - (49\/(-27) - (-10)\/(-45)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6948*p**2 + 10*p. Let r be o(-11). Let h = -119182 + r. What is h rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 5016.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -219*s - 2. Let d(k) = 258860*k + 2365. Give 2*d(q) + 2365*w(q).\nAnswer: -215*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 53 = 3*n, 4*k + 94 = -4*n + 6*k. Let w = n - -53\/2. Which is the nearest to -1? (a) -0.4 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8. Let y(o) = o - 1. Let c(p) = -j(p) - 2*y(p). Let d = 9 - 13. What is the units digit of c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -529.6217953 to two decimal places.\nAnswer: -529.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -39*d**3 + d. Determine h(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266697 = 16319*y - 532934 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178264699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618317.\nAnswer: 3, 179813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(84\/(-27) - -3). Let h be 3 + d\/(-16) - 27\/(-12). What is the second biggest value in 7\/2, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.07 * -10415.\nAnswer: -31974.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 5*o)*(-7*o - 21*o - 1 - 10*o - 1 + o + 1 + (0*o + 0*o - 2*o)*(5 - 4 + 0) + 3*o + 2*o - 6*o + o + 4*o - 4*o).\nAnswer: 195*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2013 + -2008. Solve -k*l + 1 = -9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 5*w**2 + 4*w + 4. Let f(j) = j**3 - 18*j**2 + 2*j + 7. Let i(a) = a**3 - 4*a**2 - a + 1. Let q(p) = f(p) - 3*i(p). What is 5*m(y) - 4*q(y)?\nAnswer: -2*y**3 - y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 63 = 11*k. Suppose 115 + 821 = -k*b. Is -104 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -19*s - 263. Let b be v(-17). Let r be (45\/b)\/((-6)\/(-16)). Solve 3*i + f + 12 = 0, r*i + i - 3*f + 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19325\/7 - 2753. Let y = 970\/49 + -70121\/4312. Let u = y + -21\/8. What is the common denominator of u and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(288)\/((sqrt(120)*-2)\/sqrt(10)))\/(-1*(sqrt(512)*-2 + sqrt(512))).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmz. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 12. Differentiate -f - 10 + 12 + y*f wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 4*o**2 - 7*o - 2. Let m be j(5). Let v be 8\/m*(-6)\/2. Calculate the lowest common multiple of 2 + v + 11 + 1 and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 12\/19, -66, -1269?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4766 - -4787 - (0 - 13 - 4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = -l - 42*x - 5, x = -3*l + 20. Solve -5\/2*q + 5\/4*q**4 + 15\/4*q**3 + 0 - 5\/4*q**l - 5\/4*q**2 = 0 for q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 58. Let k(f) = 15*f + 72. Let m be k(-3). Let t be o(m). Solve 0 = 2*l + 4 + t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 4*l + 1 + 0*l)*(137*l + 102*l**2 - 212*l**2 + 112*l**2).\nAnswer: 2*l**3 + 139*l**2 + 137*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 178, 273, 370, 469, 570, 673?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/441*3773\/(-44).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 5*c + c + (1 - 4 - 2)*(-1 - c + 1) + 4*c - 4*c - c to o + f*c and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/76*(-4)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 223*c + 1698. What is p(119)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from ddyyyvydyvyvddvvyvv?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148341390 to the power of 1\/3, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 103. Suppose 3*a + 4 - s = 0. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from dmcmuimdudm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5 + 193*z**4 - 1303*z**3\/3 + 53*z**2\/3 + 556*z\/3 + 124\/3 = 0.\nAnswer: -1\/3, 1, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6969957299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/14)\/((-426)\/(-3976)) - 7. Suppose -3*o = -g + 432, -g + 120 = -5*o - 600. Let q be o*(-6)\/(-8)*-1. Calculate the highest common factor of q and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -73*w - 11. Let y be g(8). Let a = 3671 + -51427\/14. Calculate the common denominator of ((-1)\/(-8))\/(7\/y) and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/10 and 44\/609677?\nAnswer: 6096770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(48) + 2 - sqrt(3)))*2 + 0)*2.\nAnswer: -12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30471 - -31967. List the prime factors of i.\nAnswer: 2, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -9*k + 7*k + 1228, -3100 = -5*k + 5*r. What are the prime factors of k?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -26 + 8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b40 (base 16) in base 10?\nAnswer: -2880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a factor of 852828879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4571\/10 - -456. Let d be 2 - (28\/5)\/4. Let g = x + d. Which is the third smallest value? (a) -5 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02895 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.203 rounded to 1 decimal place?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let j(g) = 7*g - 1. Determine 5*c(w) + j(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 bigger than -321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.012 + 28.988. Let j = -29.023 - -0.223. Let o = y + j. Which is smaller: o or 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, -5321, 2, -1, -1\/3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j + 5. Let v be p(4). Let w be 3\/v - 1\/7. Suppose w = -4*a + 5*h + 89, 2*h + 29 - 3 = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 499, 1003, 1507, 2011, 2515?\n\"Answer: 504*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -485 + 874. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 2*u - 7*u)*(2*u**3 - 3 + 3 + (-3 + 3 + 2*u**3)*(-6 + 1 + 1)) to the form b*u**4 + r*u**3 + g*u + k*u**2 + j and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (72\/138)\/(1394\/16031)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.5075 to zero decimal places.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94.983 and 1.515.\nAnswer: -143.899245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m*u**3*x + 7*m*u**3 - 3*m*u**2 - 3*m*x + 7*u*x + 2*u - 4*x wrt u.\nAnswer: -42*m*u*x + 42*m*u - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -76, -122, -188, -280, -404, -566?\n\"Answer: -v**3 - v**2 - 22*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:44 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 777 = 3*v. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -10. Let b(x) = -3*x + 2. Let g be b(m). Is (g - -3) + 46\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 225*i + 5851. Calculate b(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g. Let p(x) = -2*x**3 + 3*x**2 + 5*x. Suppose -5*k + 27 + 128 = 0. Let s = k + -28. Suppose s = -2*d + 5*d. Calculate d*p(b) - 5*u(b).\nAnswer: -2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/120 + a**4\/4 + 14*a**2. What is the second derivative of v(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2\/17, -25\/9, -1\/6, -224 in decreasing order.\nAnswer: 1, 0, -2\/17, -1\/6, -25\/9, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 + 126*w**2 + 27*w**2 - 48*w**2.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 42*h + 3*q = -5859, 0 = -5*h + 2*q + 9750. Suppose 4*o - 2*t - 2*t = h, 0 = 3*t. What is o rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let p(d) be the third derivative of d**4\/6 + 207*d**3 + 13*d**2 - 173*d - 2. Give p(t(w)).\nAnswer: 4*w**2 + 1242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d + 26. Is 16 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13017.5633 rounded to the nearest 100?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(28\/24))\/2. Find the common denominator of 355\/(-90) + 0\/1 and ((-646)\/374)\/(p\/(-4)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7 - 2*d + 2*d - d. Let v be j(-8). Let q(x) = 1 - 5 + 2*x - 4*x - v. Give q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 45. Suppose 5*m - k*p = -348, -3*m - 2*p - 78 - 134 = 0. Find the common denominator of 483\/m*2\/6 and 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 12*b + 2. Let i be z(-12). Let l = -75 + 78. Is l less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.9494. Let y = -0.0494 + z. Let b = -0.4 + 0.41. Sort 0, -1, y, b in increasing order.\nAnswer: -1, y, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffvt when four letters picked without replacement from {v: 5, f: 4, t: 2, o: 8}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0283 + -325.0283. Let a = c - -170. Let g = a - -155.000069. Round g to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000633881 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15937*r*s - 145112999*r - 363*s**3 wrt s.\nAnswer: 15937*r - 1089*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 15*m - 1 + 2 - 16*m**2 + 0. Let g be w(-15). Calculate the common denominator of -53\/33 and -2*g\/(-5) - (-20941)\/(-1290).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 23 = -4*n. Solve 4*c - 20 = 0, -4*c = -5*h - n - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7. Calculate the remainder when 17 is divided by 1\/(i\/(-9))*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -4, 10, 24, 38, 52?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 26 = f, -2*l - 2*f + 3*f = -19. Let h(p) = -l*p + 12*p - 7*p - 9. Let u be h(-7). Solve -5*d = -25, -3*m = -u*d - 4 + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 - 2*g + 52. Let s be j(6). What is the smallest value in s, 2\/395, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, -178, 4, 2, 1920 in descending order.\nAnswer: 1920, 4, 3, 2, 1, 0, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**6\/6 + 7*j**5\/5 + 15*j**4\/2 + 4*j**3\/3 - 20*j**2 - 54. Factor l(t).\nAnswer: -t*(t - 10)*(t - 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-1 + ((-4)\/(-8))\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {s: 5, d: 1, p: 5, e: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17*d - 28 + 11 + 13. Let w be m(-2). Let x be w\/(-8)*24\/(-18). Solve 5*n - 32 = 2*k - 6, 0 = x*k - 5*n + 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.7653 hours in microseconds?\nAnswer: 2004355080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 2. Let j be z(-3). Suppose -4*s - 1 = -2*d + j*d, -5*s = -2*d - 40. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-2\/35)*(s**(2\/9)\/s)\/s**12 assuming s is positive.\nAnswer: s**(-3989\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 4. Let t be r(4). What is the highest common factor of t and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = t. Suppose z = -4*l, -3*l - 13 - t = -5*z. Let f = l - -8. Solve f*y - 20 = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 308880 - 309004.119. Let p = -124 - m. Let l = p + -0.12066. Round l to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(272) + sqrt(272) + 1 + -5 + sqrt(272) + -3 - (3*(sqrt(272) - (-2 + sqrt(272))) + (2 + sqrt(272) + sqrt(272) + -1 - sqrt(272))))**2 + 3.\nAnswer: -896*sqrt(17) + 5139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 3. Let f(i) = -1. Let r(s) = -f(s) - h(s). Let c be r(-7). List the prime factors of (c - -2)\/(1\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -12. Let b = k - 4. What is the second smallest value in 1\/9, b, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*30*21\/(-84)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2. Let r(p) = 5*p**2. Let q(m) = 7*h(m) - 3*r(m). Let c(o) = 2*o**2. Calculate q(c(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/51 and 125\/288.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*t**3 - 3 - 184*t**3 + 363*t**3.\nAnswer: 10*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 324\/135 - (-6 + 7))\/(12\/10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1473 * -7.\nAnswer: -1.0311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x - 394992 = 38851833. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 3*z**2 - 115*z - 67. Calculate u(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -3. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1629*i**2*t**3 - i**2*t**2 - 4*i**2*t + 13*i*t**4 + 3*i*t + 100 wrt t?\nAnswer: 9774*i**2 + 312*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*a = a + 940056. What are the prime factors of a?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2 = 2*m. Let x be -2*m - (-2 + 0). Solve 10 + x = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/229 and -83\/10.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18347385*a**3 + 52134334?\nAnswer: 55042155*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Suppose 4*a + 332 + 6 = -z*i, 2*i - 427 = 5*a. What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 10. Let h = -9 - -9. What is g(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1203483*y - 1380073.\nAnswer: -1203483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-7 - 1)) + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.84 rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j - 388393*j**3 + 388395*j**3 + 220*j.\nAnswer: 2*j**3 + 261*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40823 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 7, d: 6}. What is prob of picking 3 j?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 - 1360*u**3 + 118288*u**2 - 456960*u + 451584 = 0 for u.\nAnswer: 2, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhskkesththzkk. Give prob of picking 1 e and 1 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40031, 138, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11503117 is divided by 212.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105.\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3*u**3*z + 2*q**3*u*z + 39316*q**3 - 1385*q**2*z - 2*q*u**3 - 2*u**3*z + 3*z wrt q.\nAnswer: -12*u**3*z + 12*u*z + 235896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, 5225.9, 0.4, -30?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04588672 rounded to 4 decimal places?\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -231 - n**2 + 75 + 90 - 11*n + 81. Suppose -2*b + 0*b - 26 = 0. Give x(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)\/((u\/(u\/u**(6\/7)*u*u))\/u*u))**(-50)*((u*u**(-3))\/u*u*u**4*u*u)**48 assuming u is positive.\nAnswer: u**(2413\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*y, 5*j + 6*y - 32285 = 2*y. List the prime factors of j.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15*i - 7000 = 0. Is i a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 51854700?\nAnswer: 155564100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -65. Let p(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 5*l - 1. Let r be p(4). Solve 5*z - 3*g + r = 0, -b*z - 2*z + g - 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Let z = n + -7. Let o = z - -2. Sort -3\/2, 2\/9, o in decreasing order.\nAnswer: 2\/9, -3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**3\/3 + 3*m**2\/2 - 12*m + 2. Let b(n) = 5*n + 1. Let h be b(-2). What is the units digit of o(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16317*d + 3818183. What is s(234)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 - 300*z - 641. Calculate c(-58).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*o**2*p**3 + 4*o**2*p**2 - 9*o**2*p - 3*o**2 + 32*o*p**2 - 2*o*p - 468*p**3 wrt p?\nAnswer: -180*o**2 - 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 20 = 3*q. Suppose -7*l - 2*f = -3*l + 4020, 5*l + 5028 = -q*f. Is (l\/(-12))\/(2\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 3*g + 7. Let i = -53 + 48. What is s(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1051987419 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*i - 40*i + 2856313. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:20 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = 24*x - 27*x - 2*q, 4*x - 1506 = -5*q. What is the lowest common multiple of x and 54?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -79 + 2 + (-20)\/(-4). Let w = n - -107. Calculate the greatest common factor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67619580*v**6 + 2*v**2 - v - 19514609 wrt v.\nAnswer: 8114349600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q - 26. Let s be i(6). Suppose 0 = s*n - 14*n - 5432. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 13. Let r be w(9). Suppose 4*g - 32 = 4*b, 1 - 9 = 3*g + 5*b. What is the second derivative of 5*h - 5*h**g + 2*h - r*h - h**4 wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 8915934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 805, 814, 835, 874, 937?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0)\/((-3)\/(-27)). Suppose -u - 6 = -1, 2*w - 4*u - 30 = 0. Suppose b*x = w*x + 16. Solve 4*s = -2*p - 6 - 6, p - 3*s = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2900 and 1740?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 6. Let u be k(10). Let w(r) = -r**2 - 2*r + 6. Let n be w(u). Let x = 2 - n. Solve p - 11 = -4*q, x*p + 0*p + 1 = -q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.6 - 2.6. Which is the closest to o? (a) -2\/3 (b) 0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4304*b - 4288*b - 4257*b - 4307*b + 17223*b.\nAnswer: 67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1841666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 3 + (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -767907252 by 12.\nAnswer: -63992271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/12)\/((-2)\/6). Is 2 a factor of 130\/25*(0 - (-10)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.19683 days to hours.\nAnswer: 364.72392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 19. Let r be 0\/(-1 + (-5)\/1). Let u be g(r). Solve -4*o = -2*p - 10, -5*o - 5*p = -u - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/135853885 and -38\/3195?\nAnswer: 1222684965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - 3) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*z + 9 + 11 = 0, -m + 30 = 5*z. Suppose -5*t - 13 = 12. Let w be (-1)\/5 + (-11)\/t. Sort -4, m, w in ascending order.\nAnswer: -4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/51))**33)**(10\/13) assuming g is positive.\nAnswer: g**(-220\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v + 1. Suppose v*m - 650 = -3*m. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 18. Let l be j(12). Let p be (-3 + l)\/(-2 + 44\/16). What is the units digit of (-1)\/(p\/(-372)*(-2)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -681\/7 + 97. What is the closest to 1\/3 in 4, -3\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 8. Let v be m(-4). Suppose 3*f - 1586 = -v*u, 4*u + 3*f - 1582 = -2*f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -5, -689001\/8, -4, 1 in increasing order.\nAnswer: -689001\/8, -5, -4, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/12 - 7*d**3\/6 + 3*d**2\/2 + 3*d. Let j = -12 - -19. Let z be y(j). Solve -2*t + 3*g - 4 = 4*g, 3*g + 12 = z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + 6. Suppose 0 = t - 3*t - 3*s - g, 0 = -t + s. Let f(h) = h**2 + 2*h - 5. What is the smallest common multiple of 8 and f(t)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3619697272 and 296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10159362*o**3 - 5971*o - 5901.\nAnswer: 60956172*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 12:03 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, 0, 7, -2, -33, -92?\n\"Answer: -m**3 + m**2 + 21*m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3 - 9*j + 6 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288917705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11880938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Suppose i = 2*x + s*i - 68, -i + 100 = 3*x. Suppose x + 59 = 2*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.12.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3\/13 (b) -5 (c) -13\/4 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*r = 163*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let l(n) = -3695352*n**2. Give k(l(i)).\nAnswer: 27311252807808*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Suppose 4*r + b*n = 5*r - 111, -5*r + 566 = n. What is the remainder when r is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(99)*-4)\/(sqrt(9) + sqrt(99)\/sqrt(176) - (sqrt(9) + 4*1*sqrt(9))).\nAnswer: 32*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhbot. Give prob of sequence ltho.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)\/(d**(-1\/8)*d))\/(d**6*d*d*d*d*d**(1\/4)\/d)*(d*(d**(-5)*d)\/d*d*d\/(d\/d**2)*d*d)\/(d*d**(-3\/2)\/d*d**5) assuming d is positive.\nAnswer: d**(-287\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4910, -4715, -4308, -3587, -2450, -795, 1480?\n\"Answer: 17*d**3 + 4*d**2 + 64*d - 4995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*d + 10*d**2 - 120*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 339.1 and 118.198.\nAnswer: 457.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -468083 - 0.28805.\nAnswer: -468083.28805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**3 - 2*s**2 + 2*s - 1. Let x be n(1). Suppose -3*q = -6*f + x*f + 22, -3*q - 5*f = -14. What is the remainder when 13 is divided by 1*q*5\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -8, -4, 31, 16\/7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 1913796855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 62 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/188 and 3\/28?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 356 - 169. Let o = c - 185. Solve 2*y + 18 = 2*x, -y - 29 = -o*x - 3*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) + (-478)\/(-5). Let m be (-5)\/(-15) - (-741)\/(-9). Let q = x + m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 2 - (6 - 0 - 6)) + 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 75\/9)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-2)\/4*9\/(-48)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -1595192?\nAnswer: -1595190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -17*f - 31 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3795\/110)\/(21\/14)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Suppose -2*f = 5*b, -f = 2*b + 3*b. Suppose -j + 2 + 5 = b. Let u(k) = -j*k - 11*k + 4*k. What is g(u(q))?\nAnswer: -196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, 3, -5 in increasing order.\nAnswer: -5, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144080 divided by 2520?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/12 + u**3\/6 - u**2. Suppose -8 = 2*b + 2*b. Let w = -23 + 12. Let v(g) = -g**2 - 10*g - 5. Calculate b*v(j) + w*a(j).\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 570 divided by -3017\nAnswer: -570\/3017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -298011 divided by 7?\nAnswer: -42573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giidggtoititgtigw. Give prob of sequence ttio.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (-235 - -251).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7290 + 3079. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/(-3)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 3*f + f + (3*f - f - 3*f)*(4 - 5 - 1) - 2*f + 1 - 1 - 3 + 3 + f - f - f + 0*f + (-4 + 5 + 0)*(3 - 3 - f) + 0*f - 5*f - f as t*f + o and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19670208 to the power of 1\/2, to the nearest integer?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 4*a**4\/3 + 10*a**3\/3 + 10*a**2 + a. Let x(k) = -3*k**2 - 4*k - 4. Let p(y) = -4*l(y) - 22*x(y). Factor p(u).\nAnswer: 2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0334246 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11210000032012 - 10?\nAnswer: -11210000032022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-56))\/(32\/48)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**4\/24 + 13*h**3\/6 - 7*h**2. Let o be v(-9). Solve -2 - 6 = o*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*r + 7*r - 2 = 0, 3*k - 5*r = 14. Solve 0 = -i + 3*i - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 9*k**2 + k - 3. Let f be u(9). Suppose -2*g - 6 = 2*o, 0*g + 2*o + f = g. Let h = 14 + -10. Sort h, g, -3 in ascending order.\nAnswer: -3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1005.000002665 + -1005. Round w to 7 decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*j - 5*j - 14 = 0, 0 = 5*y + 3*j + 11. Let t be 0\/((-2 - y)*-1). Suppose 3*p - 29 - 70 = t. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-140)\/(-44) - 4\/22. Suppose o*j - 51 = -3*w, -4*j - 3*w = -4*w - 58. What is the remainder when 58 is divided by (18\/j)\/(6\/100)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 15*y - 47. Let q be y*(-2)\/(-21)*-6. Let k be (1\/((-3)\/6))\/(-2). Is k smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131032 - -1122320?\nAnswer: 331222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012 minus 11?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, h: 1, m: 2, c: 4, s: 1, u: 2}. Give prob of picking 1 c and 1 m.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*f + 61400*f**3 + 391*f.\nAnswer: 61400*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3228704986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.5 (c) 48 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*c = 3, 0*c + 33 = -q - 9*c for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -328656 != -330191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 112+-1394419138003\nAnswer: -1394419137891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**6\/12 + f**5\/10 - f**4\/6 - 3*f**2\/2 - 3. Let n(h) be the second derivative of m(h). Factor n(d).\nAnswer: 2*d*(d + 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - -a?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 210.8292ml?\nAnswer: 0.2108292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19154?\nAnswer: 2, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v**(-2))\/v)**(-1\/7)\/(v**6\/(v**(1\/12)*v)))**(-2\/5))**(4\/7) assuming v is positive.\nAnswer: v**(802\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/(-105) - (-3)\/15. Let b be (-30)\/(-7) + (-2)\/7. Suppose 0 = 3*f - b*h - 16, -2*h - 8 = 0. Which is smaller: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 u when three letters picked without replacement from uruyxzyzyuuyzppuxu.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1121 + 1116. Let x(h) = 4*h - 12. What is x(z)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 629*b**2 + b. Let m be p(1). Suppose 0*z - m = -5*z. Is (2\/2 + z)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*l - 5*b - 3, 0 = -4*b. Let j = -20 + 25. Calculate the lowest common multiple of j and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 927 + -8341\/9. Put v, -1.7, 0, -4 in decreasing order.\nAnswer: v, 0, -1.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + (-488)\/24)*72\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-72))\/(18\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 9. Let d = 6216 + -5960. Calculate the greatest common divisor of d and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 4, r: 11}. What is prob of picking 3 r?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 29952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306 and 46?\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -4, 19, 52, 95, 148?\n\"Answer: 5*d**2 - 2*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 5*x + 10. Let b be w(-7). Let z = b - -84. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 0)*-5)**2 - ((sqrt(475) - (sqrt(475) + (sqrt(475)*1 - sqrt(475))))*4)**2 - 1*(1 + sqrt(19) + -2 - -5*sqrt(171)).\nAnswer: -16*sqrt(19) + 11876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**3 - d**4 + 9\/20*d**5 - 1\/28*d**7 + 40*d + 0*d**2 + 3\/20*d**6 + 0. Find h such that c(h) = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/299 - 907\/1495. Let y = 14 + -10. Sort b, -2, y.\nAnswer: -2, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.13 - -2478366293?\nAnswer: 2478366266.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615581, -615583, -615585, -615587, -615589?\nAnswer: -615591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 + 4*k + 5. Let w(a) = 9*a**2 - 9*a - 11. Suppose 3*z - c - 54 = 0, 0*z = -4*z + 3*c + 77. Suppose z*m = -84 - 1. Give m*f(v) - 2*w(v).\nAnswer: 2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -103*a**4\/4 - 13*a**3\/6 + 13*a**2. Let p be 2*(-1)\/2 - 3. Is x(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 10. Let g(v) = -27*v**2 - 4*v. Give u(g(q)).\nAnswer: -81*q**2 - 12*q + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 10:12 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206 + 205.8. Let w = 18 + -17.8. What is the closest to 2 in -1, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-140))\/((-10)\/(-120))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 2, r: 4, o: 3}. What is prob of picking 1 o and 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4061499 and -0.5.\nAnswer: -2030749.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 365*t + 3902. Give n(-11).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*(z\/(z*z**0*z)*z)\/z))\/z)\/z*z)**(-16)*z**(-8)*(z*z*z\/(z\/(z*z**4)))\/z*(z*z**(-2\/3)*z**(-5\/6))**(10\/3) assuming z is positive.\nAnswer: z**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 16685668?\nAnswer: -2\/4171417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13776\/216 - ((-4)\/(-18))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (45 + -46)*(-5)\/(25\/10008455) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -7)*(161\/14 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - 2.4. Let f = 7.3 + -7.1. Which is the nearest to 0? (a) j (b) -3\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 10. Let t = 9 + 3. Suppose -r*z = t - 75. Solve 0 = -4*u + 1 - z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 1. Calculate i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29046 divided by -5?\nAnswer: -29046\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175725315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((15\/5)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1433 (base 12) to base 16\nAnswer: -927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 10. Let m = a - -9. Let k = -8 - m. Put 2\/3, 5, k in ascending order.\nAnswer: k, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24842.0030167 - -24842. Round j to 5 decimal places.\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (0 + sqrt(13) + sqrt(13) + sqrt(13)))**2 + 2 + -2*sqrt(13)*2 + (sqrt(78)\/sqrt(24)*-1)**2.\nAnswer: -4*sqrt(13) + 229\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 101\/2 (c) -0.23 (d) -2\/15 (e) -2\/5 (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.054 + 61.946. Let n = g - 62.02. Which is greater: n or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 13) to base 10.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 817 + -42. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, -4, -404 in decreasing order.\nAnswer: 113, -4, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18801 and 2124.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*f + 50*u - 47*u - 204, -5*f + 2*u - 36 = -u for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7422 + -23622. What is o rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f**(-21)*f*f)*f)\/f)\/(f**(-11\/4)\/f*f))\/(((f\/(f*f**(2\/21))*f)\/f)\/((f*f**(7\/11))\/f)))**38 assuming f is positive.\nAnswer: f**(394687\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -137*d - 5559. What are the prime factors of w(-80)?\nAnswer: 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8066 or 1?\nAnswer: 3\/8066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573) + -1 + sqrt(1573) + -4 + -1 + sqrt(1573))**2.\nAnswer: -462*sqrt(13) + 14206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.8847t to nanograms.\nAnswer: 521884700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 7855151?\nAnswer: -3142060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5\/17 - 22*r**4\/17 - 32*r**3\/17 - 2*r**2\/17 + 12*r\/17 = 0 for r.\nAnswer: -3, -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*a + 197*a = -19760. Solve -a*o + 498*o - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 100, 129, 176, 247, 348?\n\"Answer: w**3 + 10*w + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003301 rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -300?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 15*h + 19 - 9 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 22*s - 320 = 0. Let b = -151 - s. Let o = b + 129. Is 29 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - (-732734)\/8. Let w = -23592 + j. What is w rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -808, -800, -778, -736, -668?\n\"Answer: l**3 + l**2 - 2*l - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 328\/88 + 6\/22. Let i(s) be the second derivative of 2*s - s**3 + 0 + 1\/6*s**u + 2*s**2. Factor i(l).\nAnswer: 2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - (15 + 21 - (-23 + 48 + -14))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -984*v**2*x**2 + v**2 + 70*v*x**2 - 783 wrt x.\nAnswer: -1968*v**2*x + 140*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = -11. Let s = x - -8. Suppose 0 = -s*z + 26 - 0. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 minus -931?\nAnswer: 928.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3911869 - 1?\nAnswer: 3911868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60720 divided by 3?\nAnswer: 20240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x**3 - 2*x**2 + 9*x + 3. Let m(k) = -22*k**3 - 5*k**2 + 16*k + 5. Determine 4*m(w) - 7*s(w).\nAnswer: -4*w**3 - 6*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - 16 - 22)*(1 + 1 - 1)*(4*b - 2*b - b + 2) to the form t*b + h and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6377778 divided by 1782\nAnswer: 3579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k + 3 = 0, 0 = 5*o - k + 192. Let d = o + 19. Let y be (d\/25)\/((-2)\/10). Solve 5 = -y*x + 5*b, -5*x + x + 35 = 3*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161289*-32.\nAnswer: -5161248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -59 + q**3 + 4*q + 23 + 29 - 8*q**2. Suppose -5 = -h + 3. What is the tens digit of w(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-2\/35)*(((b**(5\/3)*b)\/b)\/b*b)**(-1) assuming b is positive.\nAnswer: b**(-163\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.292557398 + 0.4.\nAnswer: 1.692557398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*b - 846 + 2435 + 2006 = -10685 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20*6)\/5)\/(-2). Let y be (v - -3)\/5 + 66. Let p = 31 - y. Round p to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 + -46. Let m = 93 - 43. Suppose -m = -3*j + j. Calculate the remainder when h is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 3 = 0. Let z be 4\/(-6) - 194\/6. Let x be z\/(-15) + 2\/(-10). Solve -x*m = -4*b + 8, -8 = -0*b - c*b + 2*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) 2490 (c) -59 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + sqrt(4896) + sqrt(4896)*-4 + sqrt(34))\/(sqrt(24)\/(sqrt(12)*-5)) + 1)**2.\nAnswer: 340*sqrt(17) + 491301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.35 and -176 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4447404ms to seconds.\nAnswer: 0.0004447404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 23. Let a = -2 + d. Suppose -2*m + 59 = m - 2*i, -2*i + a = m. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.4 (c) 4 (d) 20 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 54*z**2 - 87*z - 2785. What is a(22)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3879 + 3882. Let x(f) be the second derivative of 0 + 19\/12*f**4 + 21*f + 0*f**p + 8*f**2. Differentiate x(l) with respect to l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 17 = d. Let h = -10 + d. Let n(x) = -x**3 + 7*x**2 - x + 9. Let z be n(h). Solve 4 = z*l + 2*t, 0*l - 6 = 3*l - 3*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5845572049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 249821081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4805, 38471, 129855, 307817, 601217, 1038915?\nAnswer: 1649771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*j + 2*n - 5, j = 3*n - 3. Let b be j\/5*((-3)\/(-6))\/1. Suppose 2*l = -b*l + 6. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 980985.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213287, -213280, -213273, -213266?\nAnswer: -213259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31397.7 kilograms?\nAnswer: 31397700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f - 10. Let m be k(-7). Suppose b = 2*b - m. Suppose -c - 2 = -b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, 0.3, 1\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -95*t**3 + 8*t**2 + 75. Let b(f) = 189*f**3 - 18*f**2 - 150. Let c(l) = 4*b(l) + 9*j(l). What is the derivative of c(w) wrt w?\nAnswer: -297*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121 and 4307919.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 45. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10, 2*i - 4*h = -8*h + 1033670. Suppose -171731 + i = -7*p. What is p rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9977 is divided by 221.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 + 192. Suppose -10*c + 139 = p. Solve 0 = -4*n - 2*l - 12, -l + c = n - 4*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1355\/4 - 339. What is the second biggest value in 0.06, 4, -2\/5, d?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000210918177 rounded to 7 decimal places?\nAnswer: -0.0002109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -1\/3, 2\/5, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/(-182)*14*(-1)\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 606\/7, -0.7, -13, 5, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2)*(-3 + 17). Round n to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 423, -92, -2477, -7668, -16601, -30212, -49437, -75212?\n\"Answer: -156*b**3 + b**2 + 574*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270840 divided by 4?\nAnswer: 67710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from pxxxyffcfcfxfxlx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d)\/d**(-14) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, e: 18}. Give prob of picking 1 d and 3 e.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6672867 or -6672868?\nAnswer: -6672868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 11. Suppose 5*n + 3*z - 125 = 0, 3*n + 2*n + 4*z - 130 = 0. Let c(h) = -1. Calculate n*c(w) + 2*s(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*w - 4*f = 62*w + 30, 5*f + 48 = -6*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -272583, -270968, -269353, -267738, -266123?\n\"Answer: 1615*t - 274198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*j + 24, 4*j = 3*x + 5*j + 36. Does 21 divide 1\/6 + (-502)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10304*m + 126 = 10241*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.034 to 1 decimal place.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5423874206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*v - 437 = -471, o - v + 6 = 0. Factor -4 - 6*p**o + 19*p**3 - 26*p**2 + 1\/2*p**5 + 33\/2*p.\nAnswer: (p - 8)*(p - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468, -777, -1292, -2013, -2940, -4073?\nAnswer: -5412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7074126833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*x - 990*x - 216664 = -747*x + 3397*x for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239693 is divided by 8539?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose -5*v + 4*v + 28 = 0. Suppose 0 = c*p - 1384 - v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156118 is divided by 3503?\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5788*d - 25. Let s(a) = a. Give s(m(u)).\nAnswer: 5788*u - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-225) + ((-52)\/(-20) - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4484640 and 1793856.\nAnswer: 8969280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put 25, -7, 3, -2, 11, 5 in descending order.\nAnswer: 25, 11, 5, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29865 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-3)\/9 + 3 - 13. Let r be v\/(-5) - (-11)\/1 - 2. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let k(t) = -t**3 - 4*t**2 - 86*t. Calculate -k(u) + 3*p(u).\nAnswer: u**3 + 4*u**2 + 83*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18))\/((9\/(360\/8))\/((-156)\/15)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 147e84a7 + 2?\nAnswer: 147e84a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -14*j**2. Let x(z) = 10096*z**2. Determine n(x(v)).\nAnswer: -1427009024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**6 - 58*m**4 - 690*m**3 - 59745*m**2 + 8*m.\nAnswer: 240*m**3 - 1392*m - 4140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111.27598 - -107.678. Let r = a - -3.6. Round r to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1757\/(-502))\/(7\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*c**2 - 98*c**2 + 203*c**2.\nAnswer: 579*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110.076 * 2290.\nAnswer: 252074.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.49 + -13.791. Which is the closest to -8? (a) -1 (b) 3 (c) -5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -493 - -1105. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6301*b**3 + 8*b**2 + 330078.\nAnswer: 18903*b**2 + 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -13\/27614?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/(-60))\/7 + (1 - 2\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 356 - 345. Find the third derivative of -5*p**4 + p**3 - 50*p**2 - 109*p**2 - 11 + r wrt p.\nAnswer: -120*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**5\/10 - h**4\/6 + h**3\/3 - h**2 + h. Let a be u(2). Let k = a - 6. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13680 - -29970. Suppose -88*a - s = -106*a. List the prime factors of a.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1569801 and -62\/182535.\nAnswer: 7849005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/5 + 48*h**2 + 3204*h\/5 + 9936\/5.\nAnswer: -3*(h - 92)*(h + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 - 45168*i**4 + 127373700*i**3 + 765326552*i**2 + 1531376112*i + 1021158432.\nAnswer: 4*(i - 5649)**2*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 47 = 38. Solve 3*x = d*q, -2*x - 39 + 14 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*p = -p, 3*p = 2*t - 5. What is the units digit of (t*8)\/((-100)\/(-4450))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*v + 20. Let n(l) = -23 + 0*l + 126 - 30 + 68*l - 26. Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18a - 3?\nAnswer: -18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 31, -13.6, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -11*y + 7*y. Let v = 91 - y. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24341*t**2 - 29831?\nAnswer: -48682*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 t when three letters picked without replacement from {w: 1, e: 1, t: 2, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 2:11 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 13*x**2 + 10*x - 14. Give s(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 60 - 34*j - 28*j - 15 + 91*j)*(3*j**2 - 4*j**2 - 3*j**2).\nAnswer: -112*j**3 + 300*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 3469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppbpb. What is prob of picking 1 p and 1 b?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*g - 138*g**4 + 14*g + 138*g**4 + 18*g**5 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3406 divided by -1\nAnswer: 3406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*-87\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7*-2)\/((-42)\/(-49)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:35 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 2 - 48\/(-1). Suppose 2*u + 39 = 3*o, 2*o + 5*u = -0*o + q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -2*c**3\/3 + 29*c**2\/2 - 2*c. Let g = 82 - 100. What are the prime factors of y(g)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 3\/8, -755\/3887?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37770 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = 5*t + 3*j, -4*t + 5*j + 20 = 0. Suppose 99 = 3*b - t*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.995 + 0.005. Sort 0, 3, b in decreasing order.\nAnswer: b, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94446024?\nAnswer: 2, 3, 727, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 26, 44, 62?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 9. Let t be f(9). Suppose -5*j = t - 193. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 31*v - 128 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 2\/4) + (-18)\/(-12). What is the third derivative of 6*f**2 + 13*f**2 + 2*f**3 - 14*f**2 - 16*f**n wrt f?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5236*g*h - 166*g - 4 wrt h.\nAnswer: 5236*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*h + 89 - 47. Put -1, h, 9 in descending order.\nAnswer: 9, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*a\/(a*a\/(a*a\/(a*a\/((a\/a**15)\/a))*a)*a))\/a)))**(1\/5) assuming a is positive.\nAnswer: a**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 6. Let x be (-32)\/(-5) + i\/20. Find the third derivative of 2*j**2 + 7*j**5 - x*j**5 + 4*j**3 - 4*j**3 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 9. Let r be h(-8). Suppose -v + 174 = 2*v. Let o = 113\/2 - v. Which is greater: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1620) - (sqrt(1620) + ((1*sqrt(1620) - sqrt(1620))*-2 - sqrt(1620)))) + ((sqrt(180) + sqrt(180) + sqrt(180)*1)*-4)\/sqrt(4)*-6)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (510 + -3)*4\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -336, 294, -3, 25 in ascending order.\nAnswer: -336, -3, 25, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(6480) + 1 + -1)**2.\nAnswer: 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -93. Let u = -198 + 198. Solve 8 = -o + s, -i*o - 2*s = -u*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 10*r - 2*s + 6*s = -176, 55*s - 104 = -r + 57*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*427834.\nAnswer: -2139170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 7*t + 2*p + 24, 2*t = -p + 4. Solve t*h = h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/13, 0.64, 0.4, -1\/4?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 22872543.26 to the nearest one hundred.\nAnswer: 22872500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 45*b + 89. Let c be ((-8)\/48*b)\/((-3)\/(-3)). Let y(l) = -l**3 - 2*l**2 - 4*l - 2. Let h be y(-2). Sort c, h, 3.\nAnswer: c, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*u + 28 = -0*p - 16, -5*p - 9 = u + 2*u + 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318023404.\nAnswer: 2, 191, 197, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -31, -46, -81, -142?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 5. Let o(r) = -r**2 + r + 6. Determine -5*i(w) + 4*o(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 9*s + 73)*(3 - 4 + 3).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awyaakmwywy. What is prob of sequence wm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.55534 rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214 + 214 + 78*c**2)*(0 - 2 + 0)*(4 - 4 + 6*c**3).\nAnswer: -936*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 25*c. Let t(q) = -15158244*q. Calculate d(t(k)).\nAnswer: -378956100*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(1*(-26)\/(-2)). Let c = -0.3 - 0.7. Let b = -0.09 - -0.09. Put c, b, k in descending order.\nAnswer: k, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73753.5 micrometers to kilometers.\nAnswer: 0.0000737535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**5\/4 - 7*t**2\/2 - 4*t - 7. Let m(o) be the first derivative of f(o). Differentiate m(l) wrt l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4767 - -171559\/36. Let k = -5\/4 - r. Put -0.5, 3\/4, k in decreasing order.\nAnswer: 3\/4, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -1.027.\nAnswer: -0.7189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from qqqqqqqqqqqpqpqqqqq?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/11 - 8*k**3\/11.\nAnswer: 2*k**3*(k - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 299902.14us?\nAnswer: 0.00008330615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 12*w - 1. What is d(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5621 and -103?\nAnswer: 5518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*t - 184 = 0, 64*i + 241 = 60*i + 2*t + t + 4*t for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 8546346*n**2 + 51278130*n - 76917222.\nAnswer: -2*(n - 3)**2*(n + 4273179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/9)\/((-2)\/6). Suppose 3*h = 4*h - 8. Let v = h + f. Solve -3*i + v*m - 23 = 0, -m + 0*m + 8 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 59 = z - 165, 0 = -3*z - 5*x + 308. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 24*z**2 - 11*z + 21. What are the prime factors of i(2)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4181*a + 37335 - 37335.\nAnswer: 4181*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2080038450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5452*n**3 - 2*n**2 - n + 3. What is the tens digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14863173 is divided by 228664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94423984.\nAnswer: 2, 17, 41, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159086661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/157 + 4936\/1727. What is v in -10\/11*v**3 - g*v + 8\/11 + 34\/11*v**2 = 0?\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g + 22*g + 5*v, 5*g - 4*v = -9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7564295, 7564301, 7564307?\n\"Answer: 6*q + 7564289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3789449.1 minutes to days.\nAnswer: 2631.561875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 9*t**2 + 5*t - 21. Let u be c(-8). Suppose 4*s - o - 21 = 0, -2*s - u*o - 23 = -6*s. What is the highest common factor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*g**2 - 250*g**2 + 37 - 2*g**3 + g**3 + 78*g**2.\nAnswer: -g**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 29896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.13 - -0.87. Let l = p - 40.999884. Round l to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40678867\/7 + 1047976801\/133. Let n = v + -2068713. Let w = n - -455. What is the smallest value in w, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4314636 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 4*k**2 + 8*k + 3. Let w be f(3). Suppose 7*d = 5*d + w. What are the prime factors of d\/((9\/(-42))\/(-1))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 + (-16)\/1. Let q(m) = 2*m + 47. Let b be q(-22). Let o = b - x. Calculate the remainder when o is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17765669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + -1 + 8 - (4 - 768) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p - 267*p**2 - 2*p + 7*p in the form a + g*p**2 + s*p and give g.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 4*m**2 - 4*m**2)*(-2 + 3 - 2 + (-1 + 1 + 2)*(4 + 1 - 3) - 7 + 2 - 1)*(7 - 6 - 13).\nAnswer: -72*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*p - 4, -5*p - 6 = -10*p + t. Solve 0 = -p*o + 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138\/13 - -136\/13. Let j = 11\/3 - 47\/12. What is the closest to t in 1, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 96. Let r be 16\/i - 2\/(-5). Let 4*o**r + 4\/3*o**3 + 0*o - 16\/3 = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -97, -228, -423, -688, -1029?\n\"Answer: -c**3 - 23*c**2 + 3*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 104 = -3*i - 2*i, -2*c + 232 = -4*i. Suppose 14 = 5*d + c. Let l = 31 + d. What is the remainder when l is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 4*y + 108, 5*g + 4*y - 32 = 94. Let z = -422 + 209. Let l = 320 + z. Calculate the remainder when l is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31, -18, -3, 8, 9?\n\"Answer: -j**3 + 7*j**2 - j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76410, -76409, -76408?\nAnswer: -76407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.33 - 0.67. Let a = -7 - 7. Let k = a - i. Is k equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:06 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14*y**3 + 4*y + 4. Let t(j) = j**3 + j - 1. Let r(a) = h(a) - 4*t(a). What is the derivative of r(v) wrt v?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81972084 to the power of 1\/2, to the nearest integer?\nAnswer: 9054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + (-16 + 11 - (1 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0 - 1 + 2*l)*(2 - 2 + 7*l)*(4*l**2 - 4*l**2 + 2*l**2).\nAnswer: 14*l**4 - 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6 + (-2 - 0) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3416728?\nAnswer: 2, 7, 17, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/33*(27 - 28)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 327 - 359. Let z be (-12 + 7)\/(2\/(-20)). Let b = z + v. What is the least common multiple of 32 and b?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594802152.\nAnswer: 2, 3, 7, 757, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88689365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 5*f + 2*f - 3*f = 9*m + 28, -2*m + 31*f - 318 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 452755 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: Suppose -3*g + 73 = -11. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-27)*d*d*d)\/d**20)**(3\/4) assuming d is positive.\nAnswer: d**(-129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.826 from -444.\nAnswer: -452.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*d - 3311634 = 147*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -6 (c) 4 (d) 1.1 (e) -23 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2 (c) 1 (d) 33 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -381774991 - -473268.\nAnswer: -381301723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/19, -2, -5 in decreasing order.\nAnswer: 2\/19, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9104*m**2 + 39*m - 6. Let p(j) = 36415*j**2 - 169*j + 26. Calculate 3*p(r) + 13*w(r).\nAnswer: -9107*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 147*s + 147. What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**3\/6 - 17*w. Let p(b) = 4*b**2 + 0 + 0. Calculate j(p(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -21. Suppose -u + y*a + 2*a = -26, -5*a = -u + 38. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1614)\/(-133693)*(-7)\/3.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*g + 17 = -0*f, 0 = -3*f - 4*g - 31. List the prime factors of (-4)\/f - (-1105)\/25.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17392051702*g**2 + 17392052118*g**2 + 0*g + 0*g.\nAnswer: 416*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -12*x**5 + 64*x**4 - 68*x**3 + 16*x**2 = 0.\nAnswer: 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 3*n**2\/2 + 6*n - 18. List the prime factors of x(11).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*m = 2*n - 530, 4*m = -20. What is the highest common factor of n and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 284\/12)*1. Let p = 26 - j. Is 1\/3 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 76, 107, 136, 163?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 32*u**2 + 633*u + 8038. Determine s(-14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016, 3883, 8646, 15299, 23836, 34251?\nAnswer: 46538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1047 and -0.5?\nAnswer: -523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20741, 20750, 20759, 20768, 20777?\nAnswer: 20786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349680233 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2517460.04 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*f - 23, -3*y + 252*f + 9 = 253*f. Factor 1\/8*l**y + 0 - 3\/8*l.\nAnswer: l*(l - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*f = 44, 3*h = -h + 4*f + 4. Solve q + 5 = z, -16 = -q - 2*z - h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3625*x**2 - 7080*x**2 + 3601*x**2.\nAnswer: 146*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.107164765 to four decimal places.\nAnswer: -0.1072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21442, -42402, -62878, -82870?\n\"Answer: 242*v**2 - 21686*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 205.1\nAnswer: 198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (600\/(-35))\/((-1956)\/(-10269)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 33 (b) -3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-456))\/((-1)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) 0.4 (b) -4 (c) 17 (d) -3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8492430 divided by -317\nAnswer: -26790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -2, -0.07, 7, 10 in increasing order.\nAnswer: -2, -0.07, 0.06, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -8 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 4*k - 33, -x + 3*k + 11 = 0. Let w(s) = -s**3 + 4*s**2 - 3*s. Let u be w(3). Let l be 0\/4 + u + 0. Solve l = b - 0*b - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.44, 7, -2, 1138.\nAnswer: -2, -0.44, 7, 1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 388022743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 47019226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000722248 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/9)\/a))**12*a**(22\/7)\/a**28 assuming a is positive.\nAnswer: a**(38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1418.63 + -1422. Let v = -0.09 - -0.06. Let y = w + v. Round y to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 19\/3. Let s = -1.03 - -53.03. Let k = s + -51.8. Put 2\/17, k, j in ascending order.\nAnswer: 2\/17, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) -34189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 130 + 139 = 3*g - 131 + 409, 3*l + 42 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139104 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (-117)\/108) + 20302\/24?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13465 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -323542 (base 6) in base 16?\nAnswer: -6896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (2 + 7)*-11. Let c = -62 + d. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d = 59 + 391 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 21*w**2 + 458*w + 12587. Determine j(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20626 - 20626. Which is smaller: d or -78\/373?\nAnswer: -78\/373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 15. Let l(m) = 10*m**5 - 8*m**2 + 9*m. Let d(k) = k**5 - k**2 + k. Let w(a) = y*d(a) - 2*l(a). Find the third derivative of w(t) wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**6 + 222902*u**4 + 5*u**3 - 249*u**2 - 6*u + 3054.\nAnswer: -120*u**3 + 5349648*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14460 divided by -94\nAnswer: -7230\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r + 38. Let x be c(-3). Let h be -4 + x + (-1 - -5). Calculate the highest common factor of 385 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13646*k**4 - 15505*k**2 wrt k.\nAnswer: -327504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1046 + -462. Let n = -371 + p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:51 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12)\/(t*t**13))**(-10\/19) assuming t is positive.\nAnswer: t**(260\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 8, 24, 46, 74?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 21463.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-8)*-3754 - (72 + -67). Which is bigger: 463 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from puuuzuubypyzuuu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -71*267\/(-24) - (-5 + 82\/16). Which is the fourth smallest value? (a) -1\/2 (b) -1\/5 (c) -0.1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.7 (c) -29\/6 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:58 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 7:21 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.074?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/9 - 0)\/((-4)\/(-18)). Let n be i\/4*(-176)\/(-66). Solve j + j = -n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 8*y - 180. Suppose 0 = -r - 8 + y. Suppose -v + 5*z = -33 + 7, -2*v + r = 3*z. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 i when three letters picked without replacement from ydmldil?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 556\/162807 (c) 1 (d) -0.2 (e) -5 (f) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:29 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -24. Suppose 0 = 2*j - 4*k - o, 2*j - k - 13 = -1. Calculate the lowest common multiple of 10 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56122\/(-61224)*2\/((-44)\/(-225)).\nAnswer: -75\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 7:47 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqpqrqqrprqqarqrrqqr. What is prob of sequence rp?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-99) + (-1412)\/(-36). Solve j - i = -34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 299*z**2. Let l(n) = 30*n**2. Calculate f(l(t)).\nAnswer: 269100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/7 - (-2 + 2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (0 - -4) + 8. Is 8 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -3*w. What is the remainder when -2 + 2 + w - -8 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g - 2*g + r, -r + 3 = 4*g. Solve g = t + 6 - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9422848 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 6:46 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/5*(43 - (-2008)\/24). Solve -3*x = 2*n - 146 + v, 4*x = 4*n + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 + 7*m**2 - 84*m + 4. Let x(d) = -2*d**3 - 2*d**2 + 28*d - 1. Suppose 74*n - 43 + 178 = -13. Give n*b(t) - 7*x(t).\nAnswer: 2*t**3 - 28*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -21 + 39 + 19 + 80?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 311*s**2 + 321*s**2 - 612*s**2. Let h(c) = 12*c**2. Calculate f(h(z)).\nAnswer: 2880*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 135024 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288319 is divided by 1001?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.546 - 7.743. What is j rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16102394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*q = -166, -9*z + 415 = -4*z + q. Round z to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174410 divided by 9\nAnswer: 174410\/9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, 65 in descending order.\nAnswer: 65, 21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s - 5 + 6*s + 4 - s**2. Let l be f(-1). Let t be l\/(1*3\/(-15)). Solve t*j = 4*z + 41, -j - 7 - 4 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/10)\/(1\/(-112)). What is the units digit of j\/35*(-10)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a + -31?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*b**2*d**4 + 1255601*b**2 - 2566567*b*d**4 - 2*b - 82 wrt d?\nAnswer: 32*b**2*d**3 - 10266268*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k - 51*k - 204 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -16 + -15 + 12 + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, s: 1, l: 1, j: 1, k: 6, q: 2}. What is prob of picking 1 j and 1 q?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:03 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -218, -349, -500, -677, -886?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600058 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -1. Let h be 8\/(-20) + c\/5. Suppose -2*m = -2*f - 36, -m - h*f + 65 = 3*m. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 7. Let i be n(-13). Is 8 a factor of (10\/70*i)\/((-1)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 4*n**2 - 24*n + 25. Determine s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 108122945 and -11.\nAnswer: 108122934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -280.3 - -280. Let j = -7.5 - -7. Let w = j + 1.5. Which is the closest to -1\/2? (a) -0.5 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154\/3 + 50. Suppose -4*l - 5*h + 48 = -2, -3*l - 4*h = -37. Let r(z) = z**2 - 15*z - 4. Let q be r(l). What is the smallest value in q, t, 1\/2, -3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1674\/2604*2\/(-6))\/(6\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 = 5*g, -d = -0*g - 4*g - 16. Let l be ((-2)\/(2\/(-5)))\/1. Suppose d*m = 20, l*f - 265 = m - 5*m. 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 p(g) = -g**2 - 25*g - 21. Let r be p(-21). Let t = r + -59. Suppose b + 5*x - 56 = 0, b + b - 154 = t*x. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 24*y**2 + 22*y - 21. Is g(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*p**2 + 203*p**3 - p**2 + 127*p - 127*p.\nAnswer: 203*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k = -35*k - 5, 2*f + 5*k - 7 = 0. Solve 5*l + j = 23, l = -5*j - 6 + f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3680\/460*((-110)\/48)\/(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-140)*-77*(-6528)\/528.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/61760 and -113\/61760.\nAnswer: 61760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) 836 (c) 2\/5 (d) -1.7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*l + 21955 = 0, 4*l - 1947 - 6835 = -2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1591532174 and -0.51001?\nAnswer: 1591532174.51001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7\/3, 0.1, 43 in ascending order.\nAnswer: -2, 0.1, 7\/3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/406248 and -27\/8?\nAnswer: 406248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -12. Let s = 1408.958 + -1412. Let d = s + 0.042. Which is the nearest to l? (a) 0.1 (b) 2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2. Let x(j) be the second derivative of j**6\/240 + 7*j**4\/6 + j. Let a(f) be the third derivative of x(f). What is a(o(t))?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120cd1 (base 14) to base 10.\nAnswer: 617191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*d - 4*c + 14, 8 = -2*d + 2*c. Put 0.5, d, 2, -1 in increasing order.\nAnswer: d, -1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 413643996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {s: 5, l: 7, h: 6, g: 1}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 23*b**4 - 5*b - 11*b**4 - 11*b**4 + 1 + b in the form m*b**4 + l*b**3 + q*b**2 + k + y*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48362 + 48365. Suppose 2*q - 8 = -0. Solve 3 = q*z - x*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 5:23 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmymiyiymyymmeyyyye. What is prob of picking 1 e and 1 m?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/11 (b) -0.3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 13*w - 6. Let s be i(-12). Find the second derivative of 4*b - 3*b + 3*b - s*b**2 - b wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-7 - -6) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61738483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.37. Let z = -1043.768 - -1043.79799996. Let f = z + r. Round f to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 10) to base 4.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 103. What is the closest to m in -0.5, -5, -0.23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119.7 - -121.7. Which is the closest to 4.2? (a) l (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 65316.18 grams?\nAnswer: 65.31618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1100326.4 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.57 + -29.37. Let p = 6 - 5. Suppose -5*x = 0, u + 2*x = -2*x + 3. Sort j, p, u in ascending order.\nAnswer: j, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.1 (b) 23.15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*t - 60, 4*t + 3*s + 0*s = 118. Suppose -d - 4*n - 29 = 0, 2*n + t = -4*d + 3*n. What is the units digit of 54\/(d\/(-3)) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*-1*(0 + 1). Let o be (-10 - -10)\/((-2)\/(-2)). Let g be (-2 - -1) + 2 + o. Solve g + 4 = -j*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9885 - 4637. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 245779032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6100.637 litres in millilitres?\nAnswer: 6100637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 10*c + 25. Let m(f) = -11*f - 9. Determine m(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, o: 1, f: 4, s: 3}. Give prob of sequence ss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfee. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*l**0*(l\/l**(-1\/4)*l)\/(l*l**(-4\/3)\/l))**(-1\/43))**(-1) assuming l is positive.\nAnswer: l**(127\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/3*w**6 + 0*w**3 - 1\/2*w**4 + 0*w + 4\/5*w**5 + 1 + 0*w**2. Solve a(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1831*d**3 - 205365*d**2 + 205365*d**2.\nAnswer: 1831*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4.7, 0.05, -1, 72, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161\/3588*-13*9\/(-14).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 209 = 190 - 278 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18549164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(1216)*-3)**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1058 - -1059. Suppose u - 5 = -3. Solve -2*f + j = -i, 3*f + u*i - 19 = -0*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 8*r**2 - 2*r. Let y be -16*3\/(-12)*-2. Let p be l(y). Calculate the highest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4765 + 0?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47999031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 + v**3 - 4 to x + i*v + w*v**2 + b*v**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11583 and 378708.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 28*a + 74. Let z be w(-5). Let g = z - -65. Round g to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66352 is divided by 677.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 100. Suppose -2*g + 4 + 1 = -y, r = 5*g. Suppose -6*z = -5*m - z + 35, 5*m = -3*z + 3. Is m bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.30342 * -32.8.\nAnswer: -9.952176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/56512 and -63\/14128.\nAnswer: 56512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9364, 16176, 22986, 29794, 36600, 43404, 50206?\nAnswer: 57006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 1 + 2*c**3 + c**2 - c + 4*c. Let s be a(1). What is the units digit of 0 - (0 - (6 - s))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.23268 to two decimal places.\nAnswer: 11.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) - (sqrt(13) + 1*sqrt(13)*-3 + sqrt(13)) - sqrt(13)).\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 12, u: 1, v: 1, g: 1}. What is prob of sequence urrg?\nAnswer: 11\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 1 = -9*w - 3*s, 5*w + 40 = 4*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e4d5 (base 16) to base 10.\nAnswer: 517333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13265 (base 8) to base 11.\nAnswer: -4405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 - -401. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.026 - 1.726. What is the nearest to 3 in l, 1\/6, 4, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, 0.01, -88 in decreasing order.\nAnswer: 0.01, -1, -25, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Suppose -3*f = 4*b - 9*b - 44, -b = m. Calculate the smallest common multiple of f and 36*2*(-3)\/(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/4 + 552\/32. Calculate the greatest common divisor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 5*o - 27, -14*o = 5*a + 25*o - 94 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -890.28*4.\nAnswer: -3561.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 53, 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (3\/6 - 1\/(-2)). Suppose -5*d + h = -2*h - 499, -j*d = h - 204. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1106 and -53\/711.\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 33 = -3*l, -l - 1 = i - 3*l. Let o = -10 - -14. Suppose -o*b = b - 210. What is the greatest common divisor of i and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -3 + 7 + 726. Are 730 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 15*i**2 + 9*i - 24. Does 22 divide u(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2998710 divided by 6?\nAnswer: -499785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1041244206 + -1041288474.6547. Let p = o + 44263.95469934. Let n = -4.7 - p. What is n rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10216.265 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 15. Let d be a(-6). Let x = -1 - -1. Sort 4, d, x in ascending order.\nAnswer: d, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4422*i**2 - 36*i + 70. Is 74 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 3, -111, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1293 - -1301. What is the smallest value in 1\/17, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104.48 + -66.8. What is p rounded to zero dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 649 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 31 + 1 = 5*x, -3*f = 5*x - 42. Find the first derivative of h**3 + 5*h**3 + 3 + 8*h**3 + f wrt h.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*v + 41, 2*k - 7*k + 21 = -v. Let t(j) = 5*j + 3*j**3 + 5*j**3 - 7*j**3 - 5*j**2 - 2. Let h be t(v). Put -3, h, 4 in increasing order.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3802 + 3821. What is the nearest to a in 0.4, -5, -2\/15, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrxrxx. What is prob of picking 1 r and 1 x?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287.6054 nanograms to tonnes.\nAnswer: 0.0000000000002876054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*s - 111*s = -16 + 661. Let l be ((-6)\/(-4))\/3*-2. Put 26, l, s in descending order.\nAnswer: 26, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 731 + -1231. What is the tens digit of m\/(-14) - (-14)\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 2*z**2 - z**2 + 18*z + 1 - 10*z - 8*z. Let t(c) = -3*c**2 - 4*c - 9. Determine 2*o(i) + t(i).\nAnswer: -i**2 - 2*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -12230?\nAnswer: 1\/2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4734246 - 7?\nAnswer: -4734254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, w: 1}. Give prob of sequence giw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:09 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 35*y**4 - 167. Let b(u) = 17*u**4 - 83. Let p(w) = 7*b(w) - 4*c(w). What is the first derivative of p(m) wrt m?\nAnswer: -84*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2450 = 3*j + 506. Suppose -5*m = -j + 163. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4134*n - 43355 + 43355 + 3949*n**2 wrt n?\nAnswer: 7898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrqv when four letters picked without replacement from vqwvhhvrvr.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 3*x**2 - x**2 + (-2*x + 15*x + 4*x)*(3*x - 3*x + 2*x) + 2*x**2 - 5*x**2 + 4*x**2 + (-x + 2*x + 0*x)*(4*x + 0*x - 2*x).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14167 + 46801. Is b a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryroryhhfhyrrohrhh. Give prob of picking 1 f and 1 o.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 446*o**2 - 28100*o\/9 + 14\/9 = 0. Calculate o.\nAnswer: 1\/2007, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 53 + 58 - 111.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5377 (base 14) to base 7.\nAnswer: -60010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*y + 535 = 0, 2*u - 4*y + y - 355 = 0. Round u to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:15 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-7) - (-2)\/7. Let l(v) be the second derivative of v**5\/20 - 5*v**4\/12 + 7*v**3\/6 - 9*v**2\/2 + 149*v. Does 2 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34788 and 30108?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1573) + 0 - sqrt(1573) - sqrt(1573))*-4 + -2)**2 + (-3*sqrt(1300))\/(-6*sqrt(16)\/sqrt(4)).\nAnswer: -699*sqrt(13)\/2 + 25184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438146 > 2438146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*y - 21, w - 7 = -2*y + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 3\/5 (c) 0.041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/21)\/((-32)\/56). What is the nearest to h in 4\/5, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-76)\/(-323)) + (-17 - -25)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + 0*k)*(-4*k + 3*k - k) - 386333*k**2 + 194075*k**2 + 175728*k**2.\nAnswer: -16526*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 5*n**2 + 4*n + 2. Let b be f(4). Suppose -20*c = -19*c - 18. Suppose -c = -5*x + b. Solve -x*s + 0 = -20, -5*w - 2*s + 35 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6284 = -2*b - 5*p, 2*p + 12584 = 4*b. List the prime factors of b.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((-40)\/10 + 1*2). Solve -20 = -2*t - q*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-956)\/((3 - (3 + 2))\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 171*q - 6743. What is g(61)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 26531*v**2 + 26534*v - 53064 = 0. What is v?\nAnswer: -2, 1, 26532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/80 + 2 - 106\/(-95)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2 - 3*i + 2*i + i**2 - 4. Let f be u(-6). Let n = f - 22. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 k when three letters picked without replacement from {c: 7, g: 3, y: 4, k: 2, t: 1, w: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/147 and -39?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4 + 1. Suppose -16 = -m - d*m. Suppose 16*i = i + 45. Solve -b - 4*b - m*c = 13, 2*b - i*c + 19 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 2}. Give prob of sequence kk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 130*z**2 + 2176*z - 2048.\nAnswer: 2*(z - 32)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.03 greater than or equal to -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*f*u**3 - 3*f + 333*u**3 with respect to f.\nAnswer: -32*u**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(48)\/sqrt(4)) - (sqrt(30) + sqrt(60)\/sqrt(2))*1)\/(-3*(sqrt(10) - ((sqrt(250)*1 - sqrt(10)) + sqrt(10)))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 4*s)*(208 + 157 + 137) + 2*s + 2*s + s.\nAnswer: 507*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46660949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*n + 384 = -236, -10 = 5*n. Suppose 0*z + 5*l = -3*z + j, -l = -1. Calculate the remainder when z is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 15*p - 4. Determine i(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let d(b) = b - 1. Let o be d(2). Let y = 2 - o. Let t(l) = l**3 - 2*l**2 + 6*l. Calculate y*t(c) + 4*v(c).\nAnswer: c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22706?\nAnswer: 2, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*l + 1 = -8, 5*t - 5*l = 15. Suppose -t*n + 16 = -2*n. What is the smallest common multiple of 14 and n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2506 and 31\/154.\nAnswer: 27566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10798958 and 1349?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -3 - (-6 + 2). Solve -2 = x*s + 5*a, a + 21 - 3 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -96. Suppose n - h*j + 9 = 2*j, 5*j = 5*n. Solve n*f - 4*f + 30 = -5*c, -10 = 2*f + 4*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35067042 by -138.\nAnswer: -254109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - -6. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:19 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11\/4, 0.06, -3.7, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -z + 21, -3*z - 5*w = -w - 19. Suppose 3*g - 7 = -2*x, 3*x - z = -13. Calculate the greatest common divisor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (26 - (4 + -2 + -23 + 14 + 16)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 19 + 3*v)*(-5*v + 2*v + v + (3 - 2 + 0)*(1 - v - 1)) as t*v**2 + w*v + x and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 2*x - 3. Let q be c(-2). Suppose 5*m = q*m + 16. Let u be (m + 2 + 4)*1. Solve 5*s + 17 = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -487 + 340. Let s = n + 146.99999893. Round s to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n + 0*n**5 - 2\/3*n**6 + 4 + 0*n**4 + 0*n**3 + 3\/2*n**2. What is the second derivative of w(b) wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) + 5\/(-2). Let t be 3\/6 - 15207\/v. Suppose 3*n + t + 8296 = 0. What is n rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = -4*r + 12, -r = 4*c - 13. Solve 0*n = t + c*n + 5, 4*n + 28 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23009 + -44?\nAnswer: 22965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -c4bb?\nAnswer: -c4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1125\/10*5\/(75\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*p = -18, -4*c + 10 = -5*c - 4*p. Solve 4*g - 1 = 5*v, 0*v + c*v + 3*g - 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**7\/15 + 31*g**5\/60 + 10*g**2. Find the third derivative of t(m) wrt m.\nAnswer: -336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62631.\nAnswer: 3, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696513 is divided by 193.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -154 + 458 - 152 - 3*z - 149. Give a(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 16. Let u be x(11). Suppose -9*o = -6 + u. Suppose o = -8*z + 6*z + 24. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 3152*z**2\/3 + 6286*z - 9420.\nAnswer: 2*(z - 1570)*(z - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1560344 by -17.\nAnswer: -1560344\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3896? (a) -9 (b) -1 (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1*(-2 + 27). Which is smaller: l or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12030 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.071411 and 675884.\nAnswer: 675884.071411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 64*f**2 + 15*f + 3245. Give p(65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-3) - (1 - -2). Let p = 10 + z. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273894 and 945006.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-1)\/(-2)*1)\/((-1074)\/(-11814)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900*y + 8*y**2 - 29*y**2 + 7*y**2 + 15*y**2 - 900*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -b. What is the smallest value in -5, -3, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 2, 373, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 - k**2 + 3*k - 4. Let m be n(3). Suppose -l = -m - 11. Let c be (-1)\/(2 - 279\/138). What is the highest common divisor of l and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631032, -1261946, -1892860, -2523774, -3154688, -3785602?\nAnswer: -4416516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 at most 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.7 and -5.\nAnswer: 88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135789 - -88127044\/649. Calculate the common denominator of -63\/472 and x.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 23*k. Suppose k = -23*h + 131 + 237. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 3*l + l + (7333 - 14859 + 7374)*(5 - 2*l - 5 + 3 - 3 - 2*l + (1 - 2 + 0)*(-2*l + 7*l - 4*l) + 5*l + 2*l - 5*l).\nAnswer: 458*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9880 and 895910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - n - 1. Let r(q) = -40*q**2 - 5*q - 2. Calculate -5*j(h) + r(h).\nAnswer: -45*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -532210073249\/825 - -645102835. Let n = q + 3120\/11. Let z = n - -4\/75. Which is the closest to 1? (a) z (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*a**2 - 640\/3 + 112\/3*a.\nAnswer: -4*(a - 20)*(a - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 2*p + 1. Suppose 2*m - 4 = k, 12 - 32 = 5*m + 5*k. Let x be 3\/12 - (-7)\/4. Suppose -4*r = -l - m*r - 2, -x*l - 4*r + 8 = 0. Give h(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/135 - 6608\/(-60). Let d = j + -102. Solve -5*b = -d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -989 + 949 - (-2 - (-4 + 10)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 785 times -28983\nAnswer: -22751655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.7 or 147254?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:40 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5 + 31445*o**4 - 244048527*o**3 - 49500402561*o**2 - 2502796361472*o - 2453540038884 = 0. Calculate o.\nAnswer: -99, -1, 15822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*n**3 - 183*n**3 + 252*n**3 + 540*n**3.\nAnswer: 817*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3079800 to the nearest 10000.\nAnswer: -3080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 39*k + k)*(-11 - 14 + 12).\nAnswer: -494*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wssr when four letters picked without replacement from sssswffrsrfesrsf?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - 16. Suppose 0 = b - j*b. Find the first derivative of -m + b*m + 2*m + 1 wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:34 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -1\/18 (b) 42 (c) 1053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0101462497 to 6 dps.\nAnswer: -0.010146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43908590 - -43867190.139. Let i = 41342 + l. Let r = i + 0.461. What is r rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 16 - 36 = -6*r - 35, -2*r - 38 = -6*c - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**2 - 28*a + 20. What is q(-5)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15280*p**4 - 15149*p**2 - 4*p wrt p?\nAnswer: -366720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3163314 is divided by 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:13 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 4*q + 3. Let j be g(2). What is the greatest common divisor of j and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 20 - (-9 + 10 + -1 + -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 4*p + 7 + (3 + 0 - 5)*(-6*p - 24*p + 3*p))*(p**2 - 4 + 4).\nAnswer: 58*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -1, 1058?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/49105 and 27\/56120.\nAnswer: 392840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 3*z + 6. Let a(c) = c - 3. Let k be a(3). Suppose 2*y + 2 + 6 = k. What are the prime factors of l(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3069.8 to the nearest ten.\nAnswer: -3070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + t = -2*j - 5, 5*j - 7*j + 4*j = -5*t - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11 (b) 7 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 5*x - 4. Let h be j(-3). Let c be (16\/(-10))\/(h\/(-10)). Suppose -2*z - 5*m - 9 = 0, 1 = -3*m - c. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*y = t + 71, 0 = -2*y - 10. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-3 - -1) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2086 - 2084. Which is the closest to -2\/3? (a) o (b) 3 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 12. Give r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -15. Let x = 5.9 + o. Let m be (80\/84)\/(40\/(-140)). Which is the smallest value? (a) m (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280253027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 6*k**2 - k + 7. Suppose -4 = -2*f - 14. Let x be b(f). Let h(o) = -24*o - 19. Is h(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.0485, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 242, 350, 456, 560, 662, 762, 860?\n\"Answer: -h**2 + 111*h + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - (-100 + 65 + 73)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2. Let d(k) = -k**2 - 52*k + 1558. What is d(w(a))?\nAnswer: -9*a**4 - 156*a**2 + 1558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, -0.5, -2\/21.\nAnswer: -5, -0.5, -0.4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/17, 0.3, 95\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10486 and -0.5.\nAnswer: 5243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 + 1080*z**4 + 28071*z**3 + 57786*z**2 - 996840*z - 3585600 = 0. Calculate z.\nAnswer: -332, -24, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 11*w - 24. Let b be l(5). Let g be (b\/70 + (-8)\/28)*-5. Calculate the least common multiple of 30 and -15*(g - 26\/10).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 25 = 3*k. Let m(p) be the third derivative of p**7\/5040 - p**6\/360 - p**5\/10 - 3*p**2. Let r(t) be the third derivative of m(t). Give r(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/52 and -97\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344415 = -37*i - 1345118 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43.5 in 5\/6, 5\/2, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262 - -420.3. Round j to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 (base 7) in base 11?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3 - 15*p**2\/2 + 2*p - 174. Give y(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.77 + -0.17. Let h = -2.6 + b. What is the nearest to h in -3, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*n = -2 + 7, -4*r + 15 = n. Let p(q) = -6*q**3 - 3. Let h(w) = -5*w**3 - 2. Give r*h(z) - 4*p(z).\nAnswer: -z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-12 + (0 - -2) - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 7*c + 5. Let w be q(-4). Sort -1\/5, -2, w.\nAnswer: -2, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/14*(2 - -5) - -4. Suppose -11*m - 17*m + 140 = a. Suppose 4*b - 5*h - 4 = -2, -2*b + h + 4 = 0. Solve -13 = -m*v - b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from vnvveneevnnvvenv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -53256 < -532547\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9882 divided by 1?\nAnswer: -9882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*y**4 + 11*y**4 - 10 - 147*y + 147*y wrt y.\nAnswer: 84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29896, 62488, 95080?\nAnswer: 127672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-4))\/((3 + 0)\/(-12)). What are the prime factors of (-3 + -62)*(16\/c - 2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125 - 0) + (-477 - -582).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and (1034\/(-6) - -13)*24\/(-4)?\nAnswer: 3824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + t**2 + 0*t + 2*t + 2. Let b be s(-2). Suppose -q + 4*z = 2*q - 419, 4*z - 16 = b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129\/(-2)*(16\/(-108))\/(5\/(-225)*10)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 109*f**3 + 11*f**3 + 180*f**2 - 35*f**3 + 16*f - 37*f**3 - 4*f**4 - 240.\nAnswer: -4*(f - 15)*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256929193, -256929190, -256929187, -256929184, -256929181, -256929178?\nAnswer: -256929175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = 3. Find s such that -4*s**2 - c*s - 5*s**3 - 6*s**3 + 11*s**3 + 4*s**4 + 2*s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(sqrt(40)\/sqrt(8) + sqrt(5)) - 5*(sqrt(320) + -3))**2.\nAnswer: -1248*sqrt(5) + 11689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0. Suppose 0 = -2*v - k - 11, 0 = -5*k - 25. Let y = 2\/9 - -4\/9. Put v, y, i in descending order.\nAnswer: y, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*a + 15, -g - 795*a = -792*a - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 25331000*f + 32082978050000.\nAnswer: 5*(f + 2533100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:44 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (82\/8)\/((-2)\/8). Let g = k + 69. What is the remainder when 110 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2 + 8. Let g be (5542 - -1)*(j + 5). Let a = g + 88653\/16. Calculate the common denominator of a and 9\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57982003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103013311 (base 4) in base 12?\nAnswer: 393b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -142, -317, -492, -667, -842?\n\"Answer: -175*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 13 = 1. Let x(l) = l**2 + l + 2. Let m be x(v). Calculate the highest common factor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-8*4\/(-2). Suppose r - 6*r + 37 = -3*t, 5*t + 25 = r. Solve i = r*i + k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614139?\nAnswer: 3, 41, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 84.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*b + 414 = 286*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2\/2*2. Differentiate r*c**4 + 0 + 8*c + 3 - 8*c with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 - 4*z**2 + 29*z - 34*z - 1. Let b be 22\/(-4) - 1\/(-2). Let m be 2*1\/((-2)\/b). What is h(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4 + 4*q + 2. Let a(z) be the first derivative of s(z). Let r(j) be the second derivative of -j**3\/3 - 39*j. Give r(a(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: What is the sixth root of 825467 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 - 14*c - 4 + 27 + 32*c - 18*c + 2*c**2 in the form z*c**3 + g + f*c + b*c**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 529484\/187 > 2832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**18)**(9\/5)*((s\/(s\/s**2))\/s)**(-2\/5) assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 232345, 929383, 2091113, 3717535?\n\"Answer: 232346*y**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = -5*j, -17 = -6*j + 3*j - r. Suppose -5*g = -j*g + 13. What is the units digit of (1\/(-3))\/(g\/741)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - 147\/(-4). Let l = g + -23. Let z(o) = o**3 - o**2 + 25. What is the remainder when z(0) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x\/x**(3\/10)*x))*x*x)\/x**(-3)*x**(-1)*x**(-12) assuming x is positive.\nAnswer: x**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 5 + 5)*(0*a + a - 3*a) + 2*a**2 - 3 + 3 + (4 + 0 - 6)*(0*a + 0*a - 2*a**2) in the form n + s*a + b*a**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-3*sqrt(170))\/sqrt(10) + -6*sqrt(170)\/sqrt(10))*-1 + 4)**2.\nAnswer: 72*sqrt(17) + 1390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1. Let i = -3 + 2.4. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -182 + 181.95. Which is the closest to -0.1? (a) -2\/3 (b) k (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.2, -0.03, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/33779 and -16\/5961?\nAnswer: 101337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 - 16 = 0. Suppose 215 = b*v - 5*s, 3*v + 2*s - 126 = 4*s. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swss when four letters picked without replacement from {w: 4, s: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*j + 61*j + 38*j - 1224 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.97 - -15. Let p = -0.03195 + m. What is p rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 48198206 = -27*u - 66*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 7, 3\/7, -2, -3, -262 in descending order.\nAnswer: 7, 3, 3\/7, 0, -2, -3, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 66\/4*23\/((-414)\/12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-30)\/(-14) - 2). Suppose n = -0*n + v. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47652, -95303, -142954?\nAnswer: -190605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000589708 rounded to six decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 799 + -869.4. Let b = 70.067 + -0.067. Let h = b + i. What is the second biggest value in 3\/8, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 19*c - 3 = 18*c, -p + 2*c + 14 = 0. What is the greatest common divisor of 1876 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6644 is divided by 123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*b + 147*b + 21 = 3*k, 51 = 3*k - 12*b. Let w = 14 - 10. Let d be 1\/(-2) + (-10)\/(-4). Put k, w, d in decreasing order.\nAnswer: k, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*v**3 + 2369*v - 1820*v + 2 - 65*v**3 to the form h*v**3 + b*v**2 + c*v + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (2*sqrt(44)\/sqrt(4) + sqrt(11))**2 + -1 + sqrt(99) + 3).\nAnswer: -500 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -2\/35 (b) -0.5 (c) 2.969 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174.07 - -176. What is b rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011111011 (base 2) to base 6.\nAnswer: -14351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 113*v - 542. Let n be b(-108). Let z = -5 - -9\/2. Is n equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/4 + 5*z**4\/12 + z**3 - 60*z + 5. Let g(s) = -6*s**3 - 5*s**2 - 7*s. Calculate 5*c(x) + 4*g(x).\nAnswer: x**3 + 5*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/3 - 1)\/(6\/18). Suppose -r - 3*r - 20 = 3*o, -v*r = -3*o + 25. Solve -2*l + o - 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033300238 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.38 + 1.18. Which is the nearest to l? (a) 20 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 16*p + 23. Calculate s(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 20 - 11 + 36 = 0. Let z(b) = 2*b + 1. Let o(g) = 2*g. Let v(k) = 6*o(k) - 5*z(k). What is v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.3, -0.272, 2\/25, -2\/17, 0.2, -0.4, -1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(637) + -5 + sqrt(637)).\nAnswer: -15 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 16871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -11*b. Suppose -4*n = -b*n - 8. Find the first derivative of -1 - 3*i + 6*i**n + 3*i + 0*i wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*m*n**3 - 2*k**3*n**2 - 4*k**2*m**2*n**2 - 4*k**2*n**2 + m**2*n**3 wrt n?\nAnswer: 18*k**3*m + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 39. Let k = -4 + r. Let -10*d**3 + 11*d**4 + 8*d + 2*d**3 + d + d**4 - 2 - k*d**2 = 0. Calculate d.\nAnswer: -1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j - 4. Let n(a) = -2 + 8*a - 3 + 0. Let v = 93 + -78. Let w = 9 - v. What is w*n(s) + 7*l(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/11 + 339951*q**2\/11 + 7227632160*q\/11 + 200305094400\/11.\nAnswer: (q + 42480)**2*(4*q + 111)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1816 divided by 8?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -623, -2526, -5707, -10166, -15903, -22918?\nAnswer: -31211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6\/35 (b) -1\/2 (c) 1955 (d) -3 (e) 90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44348953.\nAnswer: 11, 43, 93761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = f - 3. Let t be 0\/(-1)*f\/30. Let z be 19 - (3 + (-2 - 1)). Solve v + 4*d = -z, -d = -5*v - t*d + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 41859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:13 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9)*11\/(44\/3))\/(-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/40)\/((14\/(-525))\/(8\/10))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 728690.7000004 - 728691. Let v = -0.3 - w. What is v rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 20 = -64799*l + 64798*l, -105 = 8*l - 3*s for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7952*x**3 - 27*x**2 - 30*x - 5. What is the tens digit of y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 - 37. Let j = r - 176.19. Let u = -0.19 - j. Which is the third smallest value? (a) -2\/25 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o + 7. Let r = 20 + -16. Let u be 3 - (11 - (4 + -2)\/2). Let m(k) = -7*k + 4. Determine r*a(z) + u*m(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7)\/((-18)\/(-567)*9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 - 19 = 0. Let q(g) = -g**3 - 4*g**2 + 2*g + 5. Let s be q(v). Let l be 3*((-3)\/(-3))\/s. Sort l, 5, -2.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6540698.\nAnswer: 2, 229, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20024 - -20046. What is the smallest common multiple of 1430 and j?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15225 by -3045.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6*p**3 - 4)*(21*p**2 + 4*p - p - 4*p).\nAnswer: -126*p**5 + 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*n - 246, -86*b - 74 = n - 88*b. What is the closest to -11\/4 in -4\/3, n, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 118 = -3*q, -3*s - 3*q + 218 = -s. Suppose -x - s = -4*g, 0*g - 3*g + 73 = 2*x. Let z be ((-3)\/g)\/((-2)\/6). Which is smaller: -1\/9 or z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:40 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 652 - -90. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 697 and -0.06.\nAnswer: 696.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170)*-2 + sqrt(170) - sqrt(170)) - sqrt(170) - (sqrt(170)*-2*5 + sqrt(170)))\/((sqrt(10) - sqrt(1210)*4)*-6)*-3.\nAnswer: -3*sqrt(17)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m. Suppose -3*t + 80 = -85. Let k(v) = t*v + 31*v - 36*v + 35*v. Calculate k(j(i)).\nAnswer: 170*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/14*(9\/(-2))\/((-8)\/32*1).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46\/7 - 191\/28. Sort 3, -0.1, x.\nAnswer: x, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -509540895*n**3 - 1072936696*n**2 wrt n?\nAnswer: -3057245370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5940795?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -191*t - 262*t + 1 - 2 + 16 + 455*t. Let s(f) = 43*f**2. Determine s(u(k)).\nAnswer: 172*k**2 + 2580*k + 9675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Suppose -4*g - 17 = -25. What is the nearest to l in 0.2, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from {b: 1, d: 3, o: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(12) + (sqrt(12) - (sqrt(12) - sqrt(24)\/sqrt(2))))\/sqrt(4) + -5)*4.\nAnswer: -40 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -63, -49, -29?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, f: 9, k: 1, i: 2}. Give prob of sequence ff.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4731 and 1653.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*l + 5 - 34*l.\nAnswer: -34*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(2 + 2*q - 2)*(-24*q + 85*q - 1631 + 594 - 56*q) to k*q**2 + h + u*q and give u.\nAnswer: 4148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a + 1. Let r(c) = 449*c - 3156. Let o(w) = -r(w) + u(w). Find the first derivative of o(h) wrt h.\nAnswer: -435","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(-24)*z)\/z*z*z))\/z)\/(z\/(z*z**(-1\/17)*z*z)*z) assuming z is positive.\nAnswer: z**(390\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-72))\/(-2)*4670\/(-467).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 3*u. Let f be t(-4). Let a = f + 15. Suppose 0 = -2*m + a + 15. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3913 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*g - 22 = -0*k, -2*k + 16 = 2*g. Suppose -2*b - 176 = -k*j + 22, -2*b + 162 = 4*j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4 in decreasing order.\nAnswer: -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 19, u: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/462)\/(3\/63*(-29)\/29)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 571815 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = 0, -9 = q + 4*p + 8. Is (q + 3 + -1)*10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 56609*m**2 - 12*m + 4. Let p be l(-6). What is p rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m = -21*m + 6. Let x be 4*m + (0 - (4 - 15)). Let f = 5 + -5.1. Which is greater: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuut. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -30 - (-28 - (-103 - 66))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.337 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4, 3, 0.2, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = -5*a, a + 0*a + 20 = -5*b. Suppose -7*r + 25*r = a. Solve r = 3*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15449 + 16679. What are the prime factors of s?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 10*y**2 + 5*y - 41. Calculate the remainder when z(8) is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -74, -33, -1 in ascending order.\nAnswer: -74, -33, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 + 51 + 51 + 10 + 18842*z to k + x*z and give x.\nAnswer: 18842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 487 + 547 = 5*z, 0 = 5*z - 2*r - 57 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*l + 10, 0*w - 12 = -3*l + 5*w. Let p(z) = z**3 + 2*z**2 - 2*z - 2. Let c be p(-3). Suppose -3*g - 12 = g. Put g, c, l in descending order.\nAnswer: l, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -63 - 2*h**2 + 63. Let v(u) = -u**2. What is t(v(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcroiipiciiecieci. What is prob of sequence oer?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/34377 or -1?\nAnswer: -8\/34377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -1304, -4450, -10586, -20708, -35812, -56894?\nAnswer: -84950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v - 0. Let a be v\/(2\/(-8))*-1. What is the highest common factor of 20 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 87*z**2 + 3*z + 24*z**2 - 19*z**2.\nAnswer: 92*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153*h**4 - 1399*h**3 - 2*h**2 - 343*h + 2314 wrt h?\nAnswer: -3672*h - 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16524 and -93?\nAnswer: 1536732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6678195 and 3570?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j - 32*j - 6398 - 9990 = -3293 for j.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -15. Suppose 3*b - f*w - 1128 = 0, -3*w + 593 = 2*b - 178. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j - 2. Let g(b) = -435*b - 13. What is -g(y) + 11*u(y)?\nAnswer: 380*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 9)*(0 - 1 + 0)*(5*h + 0*h - 3*h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 0*(-1)\/3. Suppose k - 3*y - 12 = m, -k - k + 5*y + 22 = 0. What is the lowest common multiple of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -10. Suppose -3*b = 5*n - 88, 0 = -71*b + 68*b - 12. Solve 0 = -5*o + 2*d + 8, -o + x*d + n = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 5, n: 2, h: 1}. What is prob of picking 1 x and 1 m?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-8704)\/(-435))\/(-17) + (-17)\/(-340)*24\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -25.5, -1, -4\/5, 2, -6.\nAnswer: -25.5, -6, -1, -4\/5, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -11 (b) -1\/4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-1 - 6*s + 1)*(1 - 7 + 1).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 2, a: 3, t: 2}. What is prob of sequence tppt?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/765 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101100 (base 2) in base 12?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:01 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 499*r**2 - 27*r**3 + 24*r**6 - 4*r**3 + 17*r**3 - 10*r**3 - 28*r**3 wrt r.\nAnswer: 2880*r**3 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1137*k - 13. Is t(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2244808, -2244806, -2244802, -2244796, -2244788, -2244778?\n\"Answer: y**2 - y - 2244808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 6*q - 4. Let m be u(4). Suppose -z + 5*o - 2 = 0, -m*z + 2*o = 7*o + 8. Let t = z - -4. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 16*v - 373. Let k be h(29). Solve 2*z = -k*j - 13 - 5, 9 = -j + 4*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6.3. Let s = -3321 - -29891\/9. Which is the closest to s? (a) -1 (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1664 and 10114?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 14*l - 28. Let m be g(11). Let v(z) = z**2 - 4*z - 18. Let k be v(m). Let a(b) = -8*b - 54. Does 10 divide a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:26 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 779, -4\/15, 5, 0 in descending order.\nAnswer: 779, 5, 0, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + 3*p**4 + 4*p**4 - 2*p - 2*p**4 + 0*p**4 + p**4 + (3*p**2 - 1 + 1)*(-3*p**2 - 3 + 3) as n*p**2 + r*p + i*p**4 + z + u*p**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-1 - (-8 + 3 - -7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erweweyowwzy. What is prob of sequence eoz?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, g: 7, m: 3}. Give prob of picking 1 m and 3 g.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12391368?\nAnswer: 2, 3, 11, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -6, -2, 0 in decreasing order.\nAnswer: 10, 4, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5563 + 5565. Solve 2*o - r = -27 + 16, b*r + 23 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 54 - 54 + n - 2*n. Let h(x) be the second derivative of -x**4\/4 + 5*x**3\/6 - 330*x. Suppose -4*t - 26 + 6 = 0. Give t*a(q) - h(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**5 + 4097*m**3*t - 9*m**2 - 13*t - 10 wrt m?\nAnswer: 120*m**2 + 24582*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51525080.\nAnswer: 2, 5, 199, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 828397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-314)\/(-8) + 3*1\/(-12). Let h = -43 + w. Let j = h - -10. Solve -m + j = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -705*s**6 - 14*s**3 + 130*s**2 + 6*s - 1 wrt s?\nAnswer: -84600*s**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1067*l**2. Let q(t) = -5*t**2 - 48*t + 16. Let a(y) = 7*y**2 + 54*y - 18. Let k(m) = 8*a(m) + 9*q(m). Determine f(k(x)).\nAnswer: 129107*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(i + 0*i - 2*i) - 213 + 28*i + 19*i + 212.\nAnswer: 50*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.107 and 6?\nAnswer: 0.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(28 + -29)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 - 2*h**2 + 2*h. Let l be w(2). Calculate the highest common divisor of l and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2598187, 5196339, 7794491?\n\"Answer: 2598152*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**8\/672 - c**7\/105 + c**6\/120 + c**5\/30 - c**4\/16 + 25*c**2. Factor f(s).\nAnswer: s*(s - 3)*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from bjjjjbbbbbbjjbbub?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:39 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3248)\/(-504) + -8)*-27.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q = -50 - 110. Solve 0*a = -q*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b**2 - 12*b + 7. Let l(p) = -3*p**2 - 4*p + 2. Determine -2*d(f) + 7*l(f).\nAnswer: -3*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -45*n - 260. Let z(w) = 2*w + 13. Let u(v) = -5*k(v) - 100*z(v). Let l(t) = 51*t + 2. Give l(u(y)).\nAnswer: 1275*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11074 + 1345 = -436*d + 32228 - 1409 for d.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.46 and -78.\nAnswer: -77.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87576 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/(-546) + 22\/143.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 76*112\nAnswer: 8512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.5 + 0.050999?\nAnswer: 123.550999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 1\/(6\/(-27) - 426\/(-1674))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-21 - -31 - (24 - 20))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100000487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Suppose 0 = 6*i - 30. Let w(m) = -i*m - 6*m + 3*m. Give u(w(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 340 + -338. Suppose -26 = -2*m - s*d + 394, 0 = 3*m - 2*d - 630. What is the greatest common factor of m and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*b - 246 = 741 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2766 - 2539. Calculate the remainder when o is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c + 1. Suppose 3 = t, -2*n - 3*t - 13 = 18. Let h = -19 - n. Give j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -578, -576, -572, -566, -558, -548?\n\"Answer: m**2 - m - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n + 98*n - 12400 = -8*n - 243*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 10*m + 6. Let o(h) = 2*h**2 - 5*h + 3. Let s(c) = -7*o(c) + 4*t(c). Let z be s(3). Solve -3*u + 9 = 0, -4*k - k = -2*u + z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h + 5*r = 42*h + 35, -121 = 2*h - 47*r for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, -0.15, 8, 3\/2 in increasing order.\nAnswer: -26, -3, -0.15, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**17*q**(-7)*q**(14\/11)*q**(-28) assuming q is positive.\nAnswer: q**(-547\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzrrzibee. What is prob of sequence rzey?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 198*c**2 - 9801*c.\nAnswer: -c*(c - 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129303 is divided by 1034?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 44*t - 254. What is the remainder when q(-17) is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -w + 3*w. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 672, 2212, 4558, 7710, 11668, 16432?\nAnswer: 22002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1374 + -1369. Let v(h) = 1. Let u(b) = b + 2*b + 7 - 4*b. Determine t*v(z) - u(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4001259?\nAnswer: 3, 191, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -86. Calculate the remainder when g is divided by (50\/8 + (-10)\/40)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(60\/7)\/12*1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*p + 8, -2*p + 4*p - 10 = 0. Suppose k = -3*n + 10, -10 = 31*k - 29*k. What is the remainder when l is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 489\/(-9128)*7*976\/(-6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1856 less than -1357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5de (base 15) to base 9.\nAnswer: 140512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11237 + 11256. Solve x*g = 65 - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + p + 8 = -7*g, p - 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12893 + 12989. What are the prime factors of h?\nAnswer: 2, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 22*(-2)\/8*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*a - o, -5*a + 12 = -4*o - 11. Let d(c) = 375*c**2 - 2. Let p be d(-1). Let l = p + -361. Solve l = -3*t - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 + 43001288*l + 115569423103684 = 0.\nAnswer: -5375161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a + 2*n = 134, -4*n - 152 = -4*a. What is the common denominator of 618\/a - 2\/(-7) and -23\/34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000288840825 to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 29. What is h(15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*((sqrt(2) - (-1 + (sqrt(32) - sqrt(2)))) + -2))**2.\nAnswer: -1296 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -732 + 768 - 27\/12. Find u such that -250 - z*u**4 - 3465\/2*u**2 - 3645\/4*u**3 - 1135*u = 0.\nAnswer: -25, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 2*o - 6. Let q(z) = -1. What is 6*q(k) - s(k)?\nAnswer: 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + a = -25, -20 = 4*h - 14*a + 18*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9061*m - 135469. Calculate p(-15).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 24*w**2 - 355*w + 1806. Calculate x(5).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 78946.8 * -315\nAnswer: -24868242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 17*f + 5. Let i = 18 + -13. Let h(r) = 60*r + 18. Let a(b) = i*h(b) - 18*m(b). Let q(d) = -d. What is q(a(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**(-45)*(b\/(b*b**3*b)*b)\/b*b**0 assuming b is positive.\nAnswer: b**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -127, -18 in ascending order.\nAnswer: -127, -18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19351.482 take away -57?\nAnswer: -19294.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/17))\/(d\/(((((d*d*d*d**(-13)*d)\/d)\/d)\/d)\/d)))**(7\/3)*(d**7\/d**(-1\/11))\/((d*((d**(-5)\/d*d*d)\/d)\/d*d)\/d*d*d*d**(-2\/11)) assuming d is positive.\nAnswer: d**(-11177\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/35)\/((-12)\/(-252)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 10. Let c be i(7). Suppose c*u + 7 = 15. Let h = -6 + u. Is -4 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/184096, 2\/23, 5, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34908475 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1355, 3526, 1.\nAnswer: -1355, 1, 3526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6298 (base 11) in base 5?\nAnswer: 231320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -1 + 3 + 2 - -3*((3 + -2*sqrt(208))**2 + sqrt(208)).\nAnswer: -128*sqrt(13) + 2527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 divided by -722?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4254 and 30.\nAnswer: 21270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -0.35?\nAnswer: 10.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -11*b + 9*b. Suppose -17*m + 544 = b. Calculate the remainder when 43 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*d**3 + 1114*d**2 - 1114*d**2.\nAnswer: 185*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -30*x**2 + 3630*x + 18921. Determine c(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855345.1 weeks to minutes.\nAnswer: 8621878608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 5*u**4 - 1\/20*u**5 - 85*u**2 + 0 + 0*u - 200*u**3. Determine d, given that b(d) = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose 5*u = 5*x + 5, 1 + 1 = 5*u - o*x. Calculate the least common multiple of (u + 1)\/((-1)\/7) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 0.9335.\nAnswer: 16.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*v**3 + 36*v**3 - 13*v**3)*(-4*v + 7*v + 2*v) + (-5*v + v + 3*v)*(2*v**3 - 2*v**3 + 2*v**3).\nAnswer: 248*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/4 + m**3\/3 + m**2 - m - 1. Let v(j) = -2*j**2 - 3*j - 3. Give 6*c(p) + 4*v(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = i + 23, 37 = -4960*i + 4956*i - 5*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -19729?\nAnswer: -40\/19729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.10717 + 1330.69283. Let g = 1170 - r. Round g to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26427060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7240*f**5*m + 4*f**3*m + 110*f**2 - 5*f - 5*m wrt f?\nAnswer: -434400*f**2*m + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14580645 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 16. Let l be g(10). Let h be 3 + 2*l\/4. Solve h = -5*o - 7 + 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 10. Let o be t(-6). Suppose -3*i + 4 = -o*i. Let u(p) = p**3 + 5*p**2 + 5*p + 5. What is u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4163 = -17*a - 66*a - 1149 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*s**2 - k*s + 436*k + 12054*s**2 - 44*s wrt s?\nAnswer: 4*k + 24108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqdd when four letters picked without replacement from zxdqzadddddzzaaad.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-117336)\/(-10))\/((-10483)\/(-550) - 19). What is x rounded to the nearest one thousand?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-4) + 7\/28. Suppose f*a - 30 = 1587. What is the highest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*r - 276 = -111*r. Let p(q) = -2*q**3 - 2*q**2. Let v be (-4)\/2*(-2 + 3). What is the remainder when r is divided by p(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 109 - 124. Let t be p\/3*-6 + 15\/(-5). Factor -1\/5*q**4 - 13\/5*q**2 + 6\/5*q**t - 4\/5 + 12\/5*q.\nAnswer: -(q - 2)**2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017703 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/421 in 0.2, 0.3, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + d**2 + 0*d**2 + d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 2.9. What is the fourth biggest value in 0.3, 2, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7 = -23. Suppose 0 = -2*p + 10 + r. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 207, 743, 1617, 2829, 4379, 6267, 8493?\n\"Answer: 169*x**2 + 29*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72157973?\nAnswer: 3347, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -235+-157\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4800)\/1920*-2*(-5)\/1100?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681673 (base 9) to base 3.\nAnswer: 202201202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.2 - -34.2374. Round v to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3*p**2)*(2328*p**2 - 4808*p**2 - 5 + 2186*p**2) as w*p**3 + a*p**4 + c + x*p + m*p**2 and give a.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7319725, -14639463, -21959201, -29278939, -36598677, -43918415?\nAnswer: -51238153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10104883\/3475)\/139 - (208\/(-100) + 2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*y - 26 = -3*p, -y + 2 = -p. Suppose p*o - 3 = 1. Let d(i) = i**2 + i. Suppose -30 = -6*u + u. Let m(n) = -2*n**2 - 4*n. What is o*m(c) + u*d(c)?\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 7*a + 3*a + 24 = 0, -2*a = -2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -378. What is the highest common factor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 4*g**2 + 2*g - 4. Let x be (6\/27)\/(26\/421). Let d = -93\/13 + x. What is the common denominator of i(3) and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-516)\/108)\/(80\/(-990))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2736) + 0 + sqrt(2736))*4 + sqrt(2736))*2 + -4.\nAnswer: -3 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5718 + 5616 - 11663 - 78*s**2 wrt s?\nAnswer: -156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 18*i - 43. Let g be d(-15). Solve -h = w + 4*w + 16, g*h = -5*w - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63\/36 + 10\/8. Suppose 2*s - 6 = 0, -i*j = -3*s - 143 - 16. Is j a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -242*w**5\/17 + 83160*w**4\/17 + 706500*w**3\/17 + 2086520*w**2\/17 + 2522910*w\/17 + 1070784\/17 = 0.\nAnswer: -3, -13\/11, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((26*a**2 - 3*a**2 - 6*a**2)*(-a**2 - 3*a**2 + 2*a**2) - 4*a**4 - 16*a**2 + 16*a**2)*(4 + 0 + 3).\nAnswer: -266*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 0. Let h(m) = m + 181. Let u be h(g). Suppose -3*x + 100 = -2*f - 9, 5*x - 3*f - u = 0. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1021 less than or equal to 8.99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.511 + -7.510993786. Round c to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-6)\/(-9) + (-5)\/(-3). Suppose -h*k - 1\/3*k**3 + 0 + 2\/3*k**2 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/12 - 4*u. Let a(n) = -167 + n + 2*n - 4*n + 167. Give a(o(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3 + 4 - 16\/3*x - 1\/3*x**5 + 1\/3*x**4 - 5\/3*x**2 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*q - 188*q = -2750. Calculate the common denominator of 17\/108 and 27\/30*q\/(-150).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2140, -4425, -6716, -9013, -11316, -13625, -15940?\nAnswer: -18261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*f + 8, w - 4*f - 8 = -0. Solve b - 4*d + 12 = w, 4*b - 18 = -d + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938.6713g in milligrams?\nAnswer: 938671.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -8625 and -150 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + t**2 - 11*t + 23. Let v be r(8). Let c = v + 1453. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*q**3 + q + 1 + 4*q**2 - 67 + 9 + 211*q**3 as z*q + j*q**3 + u*q**2 + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**2*s\/(((s*s\/s**(-2\/9)*s*s*s)\/s)\/s))**(-2\/167)\/((s**(2\/5)\/s*s\/(((s*s**(-1\/3))\/s)\/s))\/(s**(3\/4)\/(s**(-2)\/s))) assuming s is positive.\nAnswer: s**(59981\/30060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14*b = -3718. Let k = -339 + b. Sort 8, 4, -5, k.\nAnswer: -5, k, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 4507\nAnswer: -7\/4507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2) - 11\/(-22). Suppose -112 = -3*w + a*x, -2*w + 44 = -w - 4*x. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -6 (c) 1447 (d) 15 (e) 5 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19196)\/9598*(-180)\/(16\/4).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 17*v + 68 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.4, 4, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.90573 meters to micrometers.\nAnswer: 80905730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68043916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:53 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**5 + 20*v**4 - 80*v**2 + 80*v.\nAnswer: -5*v*(v - 2)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-245)\/14) + (-3)\/5. What is the remainder when (-134)\/(-6) + (-2)\/6 is divided by 172*b\/(-22) - 12\/(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, -9, -1, 242, 2 in decreasing order.\nAnswer: 242, 5, 3, 2, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 97*t**2 + 18 + 29 + 54*t**2 + 42*t**2 in the form q*t**2 + f + h*t + o*t**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/2 + (-253)\/(3311770\/(-3264))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 - 4*m - 2. Give z(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4420 and 63648.\nAnswer: 318240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2442, -1845, -1248, -651, -54?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 15*z**2 + 150*z**3 - 150*z**3)*(-3 + 9 + 400*z - 6).\nAnswer: 800*z**5 + 6000*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(363) + (-4 + (-1 + sqrt(363) - sqrt(363) - sqrt(363)))**2 + sqrt(363) + sqrt(363) + ((0 + sqrt(363)*-1)**2 - sqrt(363)) + 5 + 4.\nAnswer: 132*sqrt(3) + 755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0.36, 2\/9, -5 in increasing order.\nAnswer: -5, 2\/9, 0.36, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 788 and 6639885.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - -7. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8453 divided by -96\nAnswer: -8453\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3)\/(4\/26). Let v = -11 - q. Let j be v\/(-4)*10\/20. Which is the third biggest value? (a) j (b) -7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 + 23*o**2 + 18*o + 30. Let u be p(8). Calculate the greatest common factor of 2398 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*(-1)\/51*9.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36420 divided by 7284?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 634, 1116, 1718, 2446?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 13*m**2 - 11*m - 1. Let d = -65 + 77. Calculate the remainder when 157 is divided by z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1542*q + 4 - 6.\nAnswer: 1542*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0, -10\/303?\nAnswer: -10\/303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2412924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49390 + -29141. List the prime factors of v.\nAnswer: 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-34)\/(-18))*3. Let p = -1551 + 3103\/2. Let q = 3.71 + -0.51. Which is the closest to p? (a) q (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -533024 (base 7) to base 6.\nAnswer: -1551125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 - -177. Suppose 5*w + 4 = -2*a, 1 = -w - 2*a + 5. Put k, w, -6 in ascending order.\nAnswer: -6, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*k = -31, -k + 7 - 3 = 0. Let o = -16 - n. Let b = o - -20. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(275) + 2*sqrt(275))*-5 - (2*sqrt(275)*5 + sqrt(275))))**2 + 0)*-6*5*2.\nAnswer: -278850000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-17) - (-21432)\/(-102). Calculate the lowest common multiple of (t\/(-45))\/(2\/9) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 6*n - 571. Let y(h) = -5*h**2 - 10*h - 1137. Give -7*l(z) + 4*y(z).\nAnswer: -6*z**2 + 2*z - 551","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t + 7. Let u(c) = -5*c - 6. Let h(i) = 7*u(i) + 6*x(i). Suppose 1 = -g - 1. Let q = -1 - g. Give h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438439 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 9:19 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871386, 1742776, 2614166, 3485556, 4356946?\nAnswer: 5228336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 + 137. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 10, x: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 - 120 = -j. Sort j, -1, -3 in descending order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 7, l: 2}. Give prob of sequence zl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r + 1492. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329498.69 rounded to the nearest ten thousand?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897, 1450, 1997, 2538?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3965*s + 3995*s - 2*m - 116 = 0, -4*m - 64 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 4218572?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (260\/32 - 1\/8)*(-61)\/(-122). Solve -4*d + 24 = u*l + 8, 4*l - 3*d - 23 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7239 is divided by 722?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:48 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) 16 (c) 118992\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/(-57) + 38\/(-6) + 2. Let o(i) = -i**2 - 3*i + 6. Let p be o(a). Solve w = -2*w - p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/23452 and 145\/858.\nAnswer: 70356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + 1*-1*sqrt(468) + sqrt(468) + (sqrt(468) + -1 + sqrt(468) + 3 - sqrt(468)))**2 + 0.\nAnswer: 96*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - 485*d**2 + 166*d + 854. Determine h(-162).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/13 + 10574*f**3\/13 + 10576*f**2\/13 = 0. Calculate f.\nAnswer: -1, 0, 5288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65171, 130327, 195465, 260585, 325687, 390771?\n\"Answer: -9*h**2 + 65183*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/9240 and -239\/9240.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 20. Which is the biggest value? (a) k (b) -3\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 4. Let f be c - 9\/3 - -4. Solve -f = 3*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -42. Let w(j) = -j**2 - m*j**2 + j + 9*j**2 - 2. Determine w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -1)*1\/2. Let w(q) = -q - 1. Let b be w(r). What is the units digit of 20*(2 + 3 + b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1222?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 4)*(-1349*p + 2501*p - 1256*p - 2) in the form x + r*p and give r.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (5 - 84\/9))*-3. Which is smaller: 499 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 14. Let s be q(-8). Solve -m + 4 = -2*f - f, s*m - 5*f = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpa when three letters picked without replacement from ogpraza?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/110)\/1*(-25)\/(-15)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31173*p**2 - 31175*p + 2.\nAnswer: (p - 1)*(31173*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w\/w**5)))\/w**0)**(-11\/2)\/(w**(-7\/5)\/(w\/(w\/(w**(-5\/6)*w))))**(-3\/8) assuming w is positive.\nAnswer: w**(1273\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25701, -25633, -25565?\nAnswer: -25497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 2003195396.06?\nAnswer: 2003195395.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 150 = 18*k. Let r = 25 + k. Let i(u) = 2*u + 19. Let m(t) = t + 9. Let y(z) = -3*i(z) + 7*m(z). Calculate y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 - 0.5. Let a = -5 - v. What is the closest to a in -5, 1\/8, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3211 - 2934. Is i a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 10. Suppose -12 = q*s - 12*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 507881 and 46171?\nAnswer: 507881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10462351?\nAnswer: 311, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 + 536. Suppose -o*l - 3*l + 78 = 0. Solve 2 = a - l*w + 3, -5*a - 11 = -4*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 + u**4\/24 - 11*u**2. Let l(f) = -f**3. Give 4*l(t) + m(t).\nAnswer: -5*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = -3*q, 5*l - q = -55. Let g = l - -24. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 divided by 65173?\nAnswer: -151\/65173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 274264256 a multiple of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/((35343\/(-66))\/(-51)))\/(1\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + 4*p**2 - 3*p**2 + 8*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10341421231 + -10?\nAnswer: 10341421221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 0.09 (b) -0.1 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 151441 - -454?\nAnswer: 152225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 14. Let j = -1 - x. Let r(k) = k**3 - 9*k**2 + 2*k + 11. Does 13 divide r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168 - 12 + 34 + 25 - 159 + 1075*g**4 with respect to g.\nAnswer: 4300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h - 25. Let c(g) = -9*g + 20. Let u(y) = 5*c(y) + 4*s(y). Let n = 3 - 1. Let f(q) = 4 + n*q - 4. Determine u(f(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Suppose -15*c + 10*c = -10. Is p + c + 18 - 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*w - 335*w - 36 = 0. What is the lowest common multiple of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56808900 rounded to the nearest 10000?\nAnswer: 56810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -16. Let g(z) = -z**3 - 2*z**2 + 3*z. Let d(t) be the third derivative of -t**6\/40 - t**5\/10 + t**4\/3 - 49*t**2. Give r*g(k) + 4*d(k).\nAnswer: -k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 - 5*c - 1. Let n(s) = 7*s**2 - 5*s. Let a(i) = 6*d(i) - 5*n(i). Let r be a(6). Solve -4*f + 0*f + u - 16 = 0, r = -3*f + u - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = 2*n - 8, 2*r = -n + 5. Let w(g) = -2 + 19*g + r + 26*g. Let u(m) = m**2. What is w(u(x))?\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 3*x + 4*x + (2 - 2 + 3*x)*(-8 - 12 + 2) in the form b + k*x and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z*z**4)\/z*z))**(-1\/12)\/(z*z\/(z*z**(-1)\/z))**(-2\/17) assuming z is positive.\nAnswer: z**(157\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k = 189 - 114 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 19 - (105 + 5) - (3 + -22 - -13).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 43*r - 40*r - 10, -4*g - 2*r + 14 = 0. Let w(c) = c**2 - c. Let q(s) = 5*s**2 - 3*s + 1. What is g*q(x) - 3*w(x)?\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-77))\/(4\/((-9464)\/39)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -995*j**2 + 995*j**2 + 95*j**4 + (-3*j + 2*j + 2*j)*(0*j**3 - j**3 - 18*j**3) as q*j**4 + p*j**3 + t + v*j + h*j**2 and give q.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, -5, 792 in increasing order.\nAnswer: -5, 0.041, 792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252.314768 - 252.3. What is w rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74398 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47876466.\nAnswer: 2, 3, 11, 19, 73, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62324, 62402, 62480, 62558, 62636?\nAnswer: 62714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354939 by -4.\nAnswer: 354939\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/7 (b) 5 (c) 1 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/24 - -4*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r + 271. Let i(h) = 68*h - 1. Calculate y(i(u)).\nAnswer: -476*u + 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (303*r**3 - 74*r**3 + 85*r**3)*(2 + 1 - 5) - 3*r - r**3 + 3*r.\nAnswer: -629*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 412 + -875. Let g = z - -487. Calculate the greatest common factor of g and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1644, 1642, 1640, 1638, 1636, 1634?\n\"Answer: -2*c + 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 81*g**2 + 3*g + 1. Let y(n) = 10*n**3 - 2*n**2 + n + 2. Let s be y(-1). Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3581846 to two dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 12382 - 12382.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 308367627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*l**2 - 42*l**2 - 40*l**2 + 10*l**2 to x + p*l + k*l**2 and give k.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2221651*56\nAnswer: -124412456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10454.71 + -10513. Let p = h - -1.29. Let f = -56.9999995 - p. What is f rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + -4*sqrt(17)))**2 + 1 + sqrt(425) + sqrt(68)\/sqrt(4) + -4.\nAnswer: 166*sqrt(17) + 1185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f + 23*f = -8*f + 425 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11847 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 726921 and 28158.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*c - 6, -4*i - 4*c = 22 - 2. Suppose -l + 3 - 7 = 0, -5*h + 3*l - 3 = 0. Do i and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-270)\/(-120)*1056\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 20*k + 53. What is the remainder when 43 is divided by s(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 147*o**2 - 12. Let t(y) = 61*y**2 - 5. Let n(i) = -12*t(i) + 5*z(i). Let c(x) = -425*x**2. Determine c(n(m)).\nAnswer: -3825*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*c + 119 = -242*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-5612000.\nAnswer: 168360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 207552 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 645, 1119, 1607, 2115?\nAnswer: 2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.4 - -9.4. Sort y, 2, -14, 5 in decreasing order.\nAnswer: 5, 2, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39424.968 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19529 and 12891126.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 58 = a. Suppose -m = n - 6, -2*m = -3*n + 2*n - 6. Suppose -b = -d - 55, n*b = b - 4*d + 55. Calculate the remainder when b is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**3 + 11*m**3 - 174*m - 25*m**3 + 174*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 23115.\nAnswer: 277380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 1960\nAnswer: 23\/1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.35903 to two decimal places.\nAnswer: 37.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 16 = 0. Solve -27 = -i*c + 4*g - 7, -5*g = 3*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -316, -627, -928, -1213, -1476?\n\"Answer: b**3 - b**2 - 315*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/132)\/(2596\/(-28556))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 9. Let m be l(6). Suppose 1 = p - z + 4, m*p - 26 = -4*z. Find the second derivative of 2*c**p + 0*c + c - 2*c wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - 4*l**2 + 4*l**5 + (l**4 - l**5 - l**4)*(4 + 2 - 4) - 2*l**5 - l**5 + 0*l**5.\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 15*s**4 + 15*s**3 - 1187*s**2 - 1?\nAnswer: 60*s**2 + 360*s + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 81\/199, -1\/2, 117, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3072))**2.\nAnswer: -128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13122244 or -13122233?\nAnswer: -13122244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 671, 2, -25, 5.\nAnswer: -25, 2, 5, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 173*l - 181. Let x(o) = o**2 - 176*o + 181. Let j(y) = 8*t(y) + 12*x(y). Let j(s) = 0. What is s?\nAnswer: 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**3 + 6*f**2 + 7*f. Let c(v) = -v**3 + v**2 + v. Let h(q) = 5*c(q) - s(q). Let w be h(0). Solve -3*o - 1 = -n + o, w = 3*n - 3*o + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13356 + 6*u - 13356 in the form p*u + x and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 822 + 0?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7700 - 5924. Calculate the greatest common divisor of 80 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {d: 2, b: 1, e: 8, l: 2, x: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -3 + 2 + 2. Let z = k + 0. What is the remainder when 17 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/5 + 68*p**4 - 14784*p**3\/5 + 28224*p**2\/5.\nAnswer: -2*p**2*(p - 84)**2*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -3, 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + ((-1065)\/531 - -6))\/((-2)\/(-12)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1794586 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4689, 4711, 4735, 4761, 4789?\n\"Answer: o**2 + 19*o + 4669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 10. Determine g(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-735))\/(293 - 309)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 92 = -13*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8711*v - 5230*v = -7160*v + 400326 + 227493 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + -1*sqrt(1300) + -5*(sqrt(1300) + sqrt(1300)*-1))**2.\nAnswer: -80*sqrt(13) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 3, w: 7, d: 2, v: 1}. Give prob of picking 1 w, 1 v, and 2 r.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 11*j + 7. Let s(u) = 21*u - 19. Let l be s(1). Suppose 2 - 16 = -l*i. Give b(i).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**2 + 3*y**2 + 12*y - 6*y**2 - 3 + 18 + y**3. Let h be b(13). Solve 0 = 4*w - 2*t + 6, 4*w - h = 3*t - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29040 divided by -10\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 50*y + 79. Let l be i(3). Let p(a) = -a**3 + 2*a**2 - 6*a + 4. Let t be p(-5). Suppose 2*q = t + l. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/7 - 44*j\/7 + 208\/7 = 0.\nAnswer: -26, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3520*f**5 - 4*f**4 + f**3 + 4*f**2 + 65306700*f?\nAnswer: 70400*f**3 - 48*f**2 + 6*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19017 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(5 + -15) - ((-866)\/(-80) - 237\/(-632))?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04934773949 rounded to five dps?\nAnswer: -0.04935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*39826.\nAnswer: -3982.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233333 (base 5) to base 14.\nAnswer: -31bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 451286 to the power of 1\/2, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13188)\/(-8)*12\/18. Round r to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15716, 62864, 141444, 251456, 392900?\n\"Answer: 15716*d**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2209*p**3*t**3 - 550*p**3 + 54*p**2 + 11*t**3 with respect to t.\nAnswer: -6627*p**3*t**2 + 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 27*i - 36. Determine j(-26).\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((200\/(-90))\/((-696)\/72819)).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1) + (-2 - -4) + 1. Solve -y*q - q = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 79 (b) -0.3 (c) -16 (d) -776 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*u + 2*u, -80 = 5*y + 4*u. Does 11 divide 3*(y\/(-1) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4013 - -4007. Let o(x) = x**2 - 8*x - 7. Let v(r) = r**2 - 7*r - 6. Calculate p*o(t) + 7*v(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2220 (base 3) to base 8.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, 1, -5, 50, -4, -614.\nAnswer: -614, -5, -4, 1, 50, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 4 = 9*x. Let l = 36 + -20. Let j = l - -2. Solve 5*z - j - x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -2*r + 68, -30*n - 3*r + 602 = -28*n - 36*n + 2*r for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 4054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 2*z)*(-2 - 3 + 3) + (7*z - z - 3*z)*(-5 + 4 + 0) + 95*z - 282*z - 199*z + (z + 0*z - 3*z)*(6 - 4 - 3).\nAnswer: -389*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(-w - 15 + 21 - 8)*(-3 + 1 + 3).\nAnswer: 4*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(5*k**2 + 0*k**2 - 2*k**2)*(41*k + 9*k - 4*k)*(1 + 1 - 4) + 3*k**2 - 3*k**2 + k**3.\nAnswer: 829*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 20*p**2. Let y(z) = 1187 + z**2 - 1187. Determine a(y(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/4 + m**3 - m**2 - 2*m + 1. Let c(w) = -w**3 - 8*w**2 - 10*w + 9. Let k be c(-6). What is the units digit of a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2681375*h**3 - 85462*h**2 - 5*h - 21.\nAnswer: -16088250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -489*s + 4. Let u(r) = 3*r + 17. Let x be u(-7). Let w be v(x). What is w rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 3*w - w**2)*(-60 + 18*w**2 + 60) to r*w**2 + b + t*w**3 + a*w**4 + d*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = -2*k, 5*k - 3*k + 15 = -p. Let a = -5 - k. Let t be (3\/1)\/1 - 1. Solve -2*v + i = -t - 0, 3*v - a*i - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 148 = 2*x, 25*x - 1292 = 7*x - 4*r. Calculate the remainder when 132 is divided by x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = -3*q, 2*t - 3*q + 4 = -6. Suppose -2*m + 0*m + 12 = 0. Let j(p) = -p**3. Let u(k) = 4*k**3 + 2*k. Determine m*j(b) + t*u(b).\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 7}. What is prob of sequence jw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633, -5, 0 in descending order.\nAnswer: 0, -5, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 1. Let c = -1.6 + 3.8. Let l = c + -1.8. Sort l, -0.4, v in increasing order.\nAnswer: v, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-108)\/30)\/(-6) - (-344)\/10. Calculate the highest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**3 + 6*v**2 + 4*v - 1. Let s be p(-4). Suppose -w + 95 + 264 = -3*c, s = w + 5*c. Suppose 4*x - 974 = w. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1085107 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -798*h**2 + 38*h - 9*h**3 - 10*h**3 + 30*h**4 + 25*h + 3*h**5 - 798*h - 17*h**3.\nAnswer: 3*h*(h - 5)*(h + 1)*(h + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5 - 5*t + 3*t + t. Let w(r) be the first derivative of -r**2\/2 + 4*r + 2. Let y(v) = -3*u(v) + 4*w(v). What is the derivative of y(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnln when four letters picked without replacement from lllnllln.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -222*w + 71. Let b(h) = -1995*h + 640. Let v(i) = 4*b(i) - 35*z(i). Differentiate v(t) with respect to t.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -30, -45, -60, -75, -90?\n\"Answer: -15*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*d + 15*d + 12*d + (5 - 2 - 5)*(2*d - 4 + 4).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2979 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2604 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76675, 152870, 228581, 303802, 378527, 452750?\nAnswer: 526465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 111.8 and 0.5.\nAnswer: 112.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1747, 3271, 4743, 6163, 7531, 8847?\n\"Answer: -26*m**2 + 1602*m + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60954977?\nAnswer: 743, 82039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3 - j**2 - j + 8*j - 6*j - 6*j. What is the remainder when l(-4) is divided by 1\/(-5) - ((-176)\/(-20))\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/12)*v*v*v)\/v**(1\/4)*((v*v\/v**(-6))\/v)\/v*v\/v**(-1)*((v\/v**(-11)*v)\/(v**4\/v))**(-2\/25) assuming v is positive.\nAnswer: v**(301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1336 + -1182. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-160))\/(6\/(-8)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) -5 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -253, -321, -299, -151, 159?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, y: 1, j: 4, z: 5}. What is prob of picking 4 j?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54140385 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -3 (c) -0.1 (d) 2.38 (e) 9217\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 795125 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - (-2 - -11) - (-52 + 1). Calculate the highest common factor of x and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 0*h**5 + 0*h**4 + 0*h + 0*h**6 - 41\/7*h**7 + 0*h**2 - 17\/3*h**3 + 4. Find the third derivative of o(p) wrt p.\nAnswer: -4920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 168.68.\nAnswer: -172.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 16 + 866*k - 6 - 90*k to q*k + y and give q.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*i - 95, -3*z = 2*z + i + 280. Let k = 55 + z. Suppose -4*x + c - 3 = -10, -3*x - 3*c = 6. Is k equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -124. Let s be (5 - -5 - 0)*m\/15. Solve 0 = 2*f + 2*f + s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28087 + 28094. What is the third smallest value in -39, g, 0.05, -3\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -3, 5, -16 in ascending order.\nAnswer: -16, -3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r. Let j(o) be the first derivative of o**4\/12 + 19*o**2\/2 + 9. Let v(k) be the second derivative of j(k). Calculate y(v(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Let x(j) = -43*j - 47. What is the remainder when x(-2) is divided by (21 + q)*(-2)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**2 + 2*y - 2. Suppose -3*u + 5 = 2*u. Let s be c(u). Suppose 18 = 3*k + s. Solve -4*p - 5*o = 17, 4*o = -k*p - p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39670, -36739, -33810, -30883, -27958, -25035, -22114?\nAnswer: -19195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5546 and 1416?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 10*p - 8. Let u be r(-4). Let c be 74576\/553 - (u + 1\/(-7)). Calculate the greatest common factor of c and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.2. Let i = 0.7 + v. Let y be -12 + 329\/28 + (-242)\/24. Which is the nearest to 2\/7? (a) y (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z**2 + 11*z**2 + 2*z**3 + z - 7*z**2 + 9*z**2 + 2 - 87*z**4 to the form l*z**4 + j*z**3 + t*z + m + k*z**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 79. Suppose -c*t = -17*t + 30. Let q = -20 - -18. Sort q, -5, t, -1 in descending order.\nAnswer: t, -1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 16. Let v = -20 - z. Let w = v + 23. Calculate the least common multiple of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (10 - 6) - (-9 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txpvotj. Give prob of picking 1 v, 1 j, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z - 1. Let p(r) = -2*r**2 + 3*r - 3. Let i(t) = p(t) - 3*s(t). Let n(m) = 28*m. What is n(i(d))?\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*i**3*l**3*y**2 + 2*i**3*y**3 - 5*i**2*l**3*y**3 - 145*i*l**2*y**3 - 2*y**3 wrt l?\nAnswer: 120*i**3*y**2 - 30*i**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*29\/(-116)*(-26)\/(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {s: 1, x: 2, j: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 not equal to 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1311*u + 355*u - 1 - 5648*u + 0.\nAnswer: -6604*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14203 + -14210. Let k(j) = 9 - 3*j - 4 + j**2 + 12*j. Give k(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 4. Let t(v) = 4*v + 7. Let c(f) = 11*g(f) + 6*t(f). Let i = 1 - -2. Let k be (-1)\/i + 25\/(-15). What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = b + m, 2*b - m - 1 = 0. Factor -x**b - 31*x + 31*x + 1.\nAnswer: -(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.4, 0.3, 6\/77?\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n**2 - 2*n + 14. Suppose 4318*o = 4334*o - 64. Determine j(o).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/42*30\/(-8)*((-736)\/115)\/8.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2898 - 2885. Put -2, 5, 3, a in decreasing order.\nAnswer: a, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*n - 478*n - 1620 = 412*n + 2265 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2154*r**2 - 8*r - 9. Let q be -2*3\/(-12)*-2. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2994*v + 38981. Calculate u(13).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 466, 538, 608, 676, 742?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = -18 + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 622440 by 9576.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*w - 23 = 0, 4*m - 2*w + 0*w = 14. Let q be (-2)\/m - (-6 - -2). Suppose -q = 2*t - 5, -3*y + 35 = 2*t. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10370 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23939067 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 32*r**3 - 14*r**2 + 13*r + 93. Calculate g(-2).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/4 (b) -20 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -28*a**4\/3 + 850*a**3\/3 - 272*a**2\/3 - 850*a\/3 + 100 = 0.\nAnswer: -1, 5\/14, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 52*q - 3312. Give s(64).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9280 - 148579\/16. Calculate the common denominator of -53\/6 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 56 = -2*m - 3*g, -4*g + 28 = -4*m. Let s(t) = t**3 + 11*t**2 + 242 - 443 + 2*t + 216. Give s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y - 1. Let h(n) be the first derivative of 2*n**3\/3 + 3*n**2\/2 + n - 4. Suppose -3*f + f = 2*k - 10, -4*k = -3*f + 8. Calculate k*s(v) - h(v).\nAnswer: -v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971727.\nAnswer: 3, 23, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4 = -4*o + 4*x, -o - 4*x = 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21275146 (base 8) in base 10?\nAnswer: -4553318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = -l, 16 = -3*l + m + 1. Let c(w) be the second derivative of -w**4\/12 - w**3 + 2*w**2 + 2*w. Calculate c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 179 - 41 = 0. Let v = 44 - c. Suppose v = 3*h + 2*l - 1277, 0 = -2*h - 3*h + l + 2137. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/19 (b) -1591 (c) -20 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3969505159 to the power of 1\/3, to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -54 - 24. Let w = h - -58. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 334, 316, 282, 226, 142?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 2*q - s + 88, -5*s = -20. Suppose -q*u + 169*u + 2 = 0. Solve 4*w = u*n - 20, 5*n = -4*w - 4 - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -7, -389 in descending order.\nAnswer: 5, -3, -7, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + 3*x - 3*x)*(x + x - x) + 4*x**2 - x**2 - x**2 + 1 - 14*x**2 + 2*x**2 + 0)*(-x + 0*x + 0*x).\nAnswer: 11*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40613848?\nAnswer: 2, 11, 461521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7126, 7127, 7128, 7129, 7130?\n\"Answer: x + 7125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k - 15 = 0. Let h(c) = 3*c**2 + 3*c + 3. Let p be h(k). Let g = p + 7. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1.5. Let k = 234338.49963 - 234343. Let q = a + k. What is q rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11781\/5 + -2357. Which is the second smallest value? (a) -1 (b) 0.08 (c) -10 (d) 3 (e) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366479 is divided by 455493.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from {e: 5, y: 8, n: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153473770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 17*f - 5 to i + k*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veef when four letters picked without replacement from {e: 4, y: 3, f: 5, i: 1, v: 4, c: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 - 3*f + 1. Let q be 1\/(4\/3 - 1). Suppose -13 + 4 = -q*x. Is m(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.15951mm to nanometers.\nAnswer: 59159510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 236\/57121 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3977*v - 4020*v = -1161 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-5)*o\/(o*(o*o*o**6*o)\/o))\/(o*o**(-1\/4))**(4\/21))\/(o**0*o**(-2)*o**(-1)\/(o\/o**(-1))) assuming o is positive.\nAnswer: o**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 - -280. Let a = 76 + -64. Calculate the smallest common multiple of a and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641 - 4021 = -4*l. Suppose 2*w - 17 = l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*u = 35 - 339, 3*p + 7*u = 521. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -3.1?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457664065 to the power of 1\/2, to the nearest integer?\nAnswer: 21393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*s + 4*s + 12, -l - 10 = 4*s. Let v = -5 + 10. Sort v, l, -3.\nAnswer: -3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 19*j - 22 = 0. Let u = -49236\/19 + 2590. Is u less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -152040322, -152040323, -152040324, -152040325, -152040326, -152040327?\n\"Answer: -a - 152040321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 4. Let o be 5\/3 - (-2)\/p. Suppose -o*f - 58 = -2*d + 3*f, 5*d = -3*f + 83. Calculate the greatest common factor of d and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 664.00273 + -664. Round u to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, h: 15}. Give prob of picking 3 s.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888337 to the power of 1\/2, to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**3 - 11*k**3 + k**2 + 3 - 3.\nAnswer: -47*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-3)*63*(-5)\/(-210))\/1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/(4\/6). Is (40\/(-3))\/(c\/3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*q - 1 + 8 + 17 = 0, 10*q = 8*l - 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178219\/34 - -5244. Let z = -837 + 16763\/20. Find the common denominator of g and z.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -20\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 633779 and 2559?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 14 = -w - 4*j, w = -2*j + 8. Calculate the greatest common factor of w and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.92 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-57)\/(-132) + (-5)\/20. Let p = -12.17 - -0.17. Let a = p - -12.4. Put 4\/5, r, a in decreasing order.\nAnswer: 4\/5, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13247, 52991, 119245, 212021, 331331, 477187, 649601, 848585?\nAnswer: 1074151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + -4 - 11 - (-2 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-8)*b)\/b*b*b**(-10))**(-2\/5) assuming b is positive.\nAnswer: b**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, 2, 10, 2226?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*x - 1027, 37*x - 36*x + 5171 = 5*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131010031 (base 4) to base 12\nAnswer: 58a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**3 + 85*q - 46*q - 42*q + (-3*q - 2*q + 3*q)*(0*q**2 - 4*q**2 + 5*q**2) + 9*q**3 - 3*q**3 + q**3.\nAnswer: -2*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.98259 - -0.12481. Let u = 1.12 - r. Round u to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5070 * 0.2\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*g + 4*g - 3*g)*(10*g**3 + 7*g**3 - 8*g**3) + 5*g**4 - 2*g**4 - g**4.\nAnswer: 191*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = -2*f - 4, 0 = 3*f + 5*w - 13. What is the remainder when 74 is divided by ((-133)\/(-21))\/(f\/3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832863 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -17, -32, -47, -62?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 14. Let a = 7 + l. Is a smaller than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1224)\/1520*-10 + (-8)\/1. Let h(c) = c**3 - 8*c**2 + 8*c + 3. Let a be h(7). Are a and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + n - 5 = -36, -25 = -5*n. Let c be 2\/(-2)*(-9)\/i. Which is bigger: c or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 12, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + n**2 - n - 1. Let m(d) = 7*d**3 + 7*d**2 - 7*d - 7. Calculate -m(p) + 7*q(p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10671\/58 or 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7055 rounded to one decimal place?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 - 15*b**2 - 6*b - 31. Let o(v) = v**3 - 12*v**2 - 14*v + 6. Let c be o(13). What is the units digit of x(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from ehhehhmqehqehhqdqdh?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -15*a - 5. Let x(y) = 2*y**2. Let h be x(1). Sort h, 1, 5, a.\nAnswer: a, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 52*l - 54. Let s be g(25). Let z be (-15)\/(-17) + s\/(-34). Which is smaller: 4\/79 or z?\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p**(-20))\/p)\/p)\/p**(-3\/4) assuming p is positive.\nAnswer: p**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -599\/2 - -310. Find the common denominator of r and 107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/5)\/r**(-7)*r*r\/r**(-4)*r*r**(-7) assuming r is positive.\nAnswer: r**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -42. Suppose -3*d + b = -6*d + 4, -4*b = -2*d + f. Solve -4*m - 14 = -j - 0*m, d*j = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - ((-11 + 2 - -6) + 15 - (112 - 110))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15585, 127444, 431053, 1022286, 1997017, 3451120?\n\"Answer: 15979*d**3 + d**2 + 3*d - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s - 5*s. Suppose 4*j + 29 = -u - 2*u, 0 = -4*j + 5*u - 5. Let q be (0\/j)\/(1\/1). Solve q = g - s + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/441 and -64\/147.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**3*t*(t\/(t*t*t*t**(-2\/41)\/t*t))\/t assuming t is positive.\nAnswer: t**(84\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + (3 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*4 + -4 + sqrt(40)\/(sqrt(8)*-2 + sqrt(8))*-5)**2.\nAnswer: -328*sqrt(5) + 8421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/3)\/(6180\/(-2781))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614403.\nAnswer: 3, 19, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 18*x + 6*x + 16*x - 36*x. Let q(s) = -s - 87. Calculate y(q(r)).\nAnswer: -4*r - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 2*b. Let r be (-2 + 1)*(b - -5). Which is smaller: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:48 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 25 + 4\/(3 - 5\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 16 = -3*q - 35, 3*q + 3*r = -15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43878604 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - r. Let u be h(-1). Let l(d) = d**2 - 36*d + 1. Let w(v) = -7*v**2 + 223*v - 4. Let n(q) = 6*l(q) + w(q). Calculate n(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3504 in decreasing order.\nAnswer: 4, -2, -3504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-946)\/(-301) - 26004\/(-1379).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20575092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgthggggvgvgvgv. What is prob of sequence ht?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 615*d - 98. Suppose -4*p = -3*m + 40, -4*p + 6 = 3*m - 2. Is r(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 65 = 3*x, 3*r - x = -15 + 85. Let s be ((-135)\/r - -5)\/((-2)\/10). Let k = -0.33 + 0.03. Sort -2\/5, k, s, -1\/8 in ascending order.\nAnswer: -2\/5, k, -1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629955 is divided by 209947.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.944339 rounded to 1 dp?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_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: Which is the closest to -0.1? (a) -5.07179 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224741239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtvwmzivmzttwwz. Give prob of picking 3 z and 1 m.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32071459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298599*s - 597200*s + 298602*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394 - s**2 - 285 + 70*s + 788 + 15*s.\nAnswer: -s**2 + 85*s + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 25 = 2*q, -195 = -5*t + 2*q - 38. Suppose g = 0, 28*x = t*x - g - 350. What is the highest common factor of x and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 122217369.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-6))\/27 - 9\/((-162)\/(-282))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -3 - (-12)\/(-2). Let l(k) be the first derivative of -k**2\/2 - k + 2. List the prime factors of l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75210 and 192.\nAnswer: 2406720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*x - 50*x - 3192 = 91*x for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5. Let y be 40 + h + (4 - 3). Let x = y - 20. Calculate the lowest common multiple of x and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-6)\/4). Factor -2\/9*x**2 - p*x - 2\/9.\nAnswer: -2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - h**3 - 2*h + (-1 + 1 + h**2)*(5*h - 125 + 125) to o + i*h + l*h**3 + y*h**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -320*t**5 - 39194*t**2 + 39194*t**2 + (-4 - 1 + 3)*(-t**2 + 0*t**2 - 4*t**2)*(-3*t**3 - 2*t**3 + 4*t**3).\nAnswer: -330*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 - -140.85. Round t to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 10 - 3 - 7.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116\/(-1519)*(-1288)\/(-276)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1155 = -l. Let x = l + -81. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15530 (b) 0.5 (c) 0.028 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {j: 3, s: 11, n: 4, o: 1}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 8*a**2 - 1\/30*a**5 - 1\/3*a**4 + 0 + 5\/3*a**3 + 0*a. Factor h(g).\nAnswer: -2*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y - y**2 - 2*y**2 - 6*y - 4*y + 2 to the form x + z*y**2 + t*y and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 86*n**2 - 26*n - 2236. Calculate p(-86).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 867 and 338864927.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1226340 and 68\/12435.\nAnswer: 1016635860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + -0.44. Let w be ((-2055)\/21)\/(1\/(-2)). Let j = -196 + w. What is the third biggest value in j, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152424.\nAnswer: 2, 3, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a microgram in nanograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 30*x + 1 + 15*x + 15*x**2 + 17*x to the form u + b*x**2 + n*x + f*x**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = -651. Let z = k + -424. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 414.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448354?\nAnswer: 2, 224177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 9*a**2. Let w be r(-9). Suppose q = 5*b - 1, w = 2*q + 2. Suppose -s - 3 + 5 = b. Solve -l = 5 - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -96. Suppose 0 = l - 5*l - w. What is the units digit of -1 + l\/((-3)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18023*q**3*t**4 + q**3*t**3 + 1178*q**3 - 2*q**2 - 67 wrt t?\nAnswer: -72092*q**3*t**3 + 3*q**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/807 (b) 3\/7 (c) -4 (d) 1.7 (e) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -697 - 2135. Is 53 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111111 (base 3) to base 4\nAnswer: -11230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*a**5 - 14237*a**4\/5 + 74783*a**3\/5 + 148749*a**2\/5 + 68392*a\/5 + 8708\/5 = 0. What is a?\nAnswer: -1, -2\/5, -2\/9, 7, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + -0.94. Let b = 0.56 + y. Round b to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 18*a**2. Suppose -3*z = -34 + 7. Let b(i) = 3*i**2 + z*i**2 - 14*i**2. Determine s(b(y)).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v = 50*v + 136. Calculate the remainder when v is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 18 = 5*r. Suppose 3*b - 5 - 7 = 0. What is the remainder when ((-15)\/b)\/((-3)\/24) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 589842 and 6269076.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30935111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -535719*836\nAnswer: -447861084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8\/5 + 22\/55 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271\/17 != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13841840729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 145?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - -0.92. Put -1, 2, p in increasing order.\nAnswer: -1, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 110. Does 2 divide 558\/27 + t\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/2 (b) -10\/9 (c) -1102 (d) -1\/3 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 72 = -5*q. Let a = 452 + -476. Let s = q + a. Sort 0, -19, s.\nAnswer: -19, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -554, -2083, -4624, -8177, -12742?\n\"Answer: -506*v**2 - 11*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 4. Let l = z + 8. What is the nearest to 0 in -0.3, l, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 7*h - 20. Calculate the lowest common multiple of a(10) and 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -4, 1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -769\/65 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2657 - 656. What is the highest common factor of x and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13\/6)*l**(19\/3) assuming l is positive.\nAnswer: l**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1172 or 0.55618?\nAnswer: 0.55618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8087791\/23 or -351642?\nAnswer: -8087791\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phphphp. What is prob of sequence phph?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + m - 219 = w, 3*w - 3*m - 168 = 0. Let l = 110 - w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -26. Let p be o\/((-114)\/4) - 2\/3. Suppose -7*k + 12381 = -2*k - 2*h, 2*k - 5*h - 4944 = p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544 greater than or equal to 37037\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - 380644614105.\nAnswer: -380644614020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 46, -4 in increasing order.\nAnswer: -4, -3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-2 + 7) - -3. Let f(x) = x. Let q(i) = 2*i**2 + 4*i - 2. What is b*f(h) + q(h)?\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10. What is the nearest to -2 in f, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 427.41, 0.2, -2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 16) to base 2.\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 5, y: 1, p: 2, q: 7}. Give prob of picking 2 q and 2 p.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 864 and 12?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*g + 127*b**2 - 5*b*g + 1088*b - 259*g + 689 with respect to b.\nAnswer: -4*b*g + 254*b - 5*g + 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)\/w**10*w\/(w\/((w*w**(-1\/6)*w*w*w)\/w))*w*w*w\/(w*w*w**(2\/19)) assuming w is positive.\nAnswer: w**(-1969\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022002011111 (base 3) to base 8.\nAnswer: 4522445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4937, -2\/9, -4 in increasing order.\nAnswer: -4, -2\/9, 0.3, 4937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 5*j**2 + 9*j - 8. Suppose 24*u - 60 = 852. What is the remainder when u is divided by p(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1 - 4*m + m - m**2 + 0*m. Let a be y(-3). Let n be (-3)\/(-2) + a\/2. Calculate the greatest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -770, -116, 0, -270 in descending order.\nAnswer: 0, -116, -270, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 + 6 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 9. Let m be u(3). Suppose m*g = g - 5*g. Let p(l) = l**3 - 2*l + 453. Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753433.\nAnswer: 73, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) + 3 - 2. Suppose -18 = -3*o + 4*r, 0*o - 5 = -u*o - r. Differentiate -137*i**2 + 15*i**4 + 6 + 137*i**2 + o wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1597096718 and 0.012?\nAnswer: 0.1477096718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 + b. Let i be m(5). Let s(g) = -4*g - 4. Let n(x) = -6*x - 6. Let q = 1 + -9. Let z(k) = i*n(k) + q*s(k). Differentiate z(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g - 97. Let i be z(-9). Let y be -4 - (-7)\/(2 + -1). What is the highest common factor of y and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 0 - -33 - (0 - 3)) + -22?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/15 (b) 2\/5 (c) 13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 84 = 24*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-105)*12*2\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 19 = 4*z. Solve 0 = z*x - 0*d + 2*d + 12, -x + d = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from yyyyyiyiyiiyyyiyiy.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15949010 divided by -59290?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.58 or -1.616?\nAnswer: -1.616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9383005 rounded to 3 decimal places?\nAnswer: -13.938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 11*l - 7 = 61 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 12:47 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = -0*t + 2*t, 0 = 4*a + 2*t - 6. Let i be 76\/(-280) + (2 - 27\/15). Is i at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*0.05.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4. Let m = 1032 - 1035. Which is greater: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20367.18 litres in millilitres?\nAnswer: 20367180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**2 + 596850*s + 149212.\nAnswer: 2*(s + 74606)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 9. Let d be a(-13). Let l = -3 + d. Let r = l + 47. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from odoodo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (1 - -1) + (-33)\/12)\/1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30816059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:09 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262227 is divided by 208?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -16. Let n(q) be the second derivative of -q**3\/3 + q**2 + 41*q. Let o be n(0). Solve -o*i - i + a = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 2*b**4 - 2*b**2 + 0*b**2 + (2 - 3 + 4)*(4*b**4 - 2*b**4 + b**4).\nAnswer: 11*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3 - 57*x**2\/2 + 234*x + 2222. Let b(f) = 0. Calculate f.\nAnswer: 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 11*u + 10. Let q be (-37)\/(-13) - u\/13. Solve 0 = -3*a, 5 = -r - 2*a - q*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8404*n**3 + 8479*n**3 - n - n.\nAnswer: 75*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41862227 - 3?\nAnswer: -41862231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 410982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4 - 17619*q**3 + 370440*q**2 = 0. Calculate q.\nAnswer: -17640, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017 - -869.\nAnswer: 868.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3876 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131 and 11659?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80020 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-379980 + 379980 + 347*r**3)*((1 - 1 - 1)*(-3 + 3 + r) + 7 - 1 - 2*r - 6).\nAnswer: -1041*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98625 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573369232?\nAnswer: 2, 19, 113, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81326070209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/77 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Let s(y) = -y. Let t(z) = -3*k(z) - 5*s(z). Let r be t(1). Is (-7)\/((-21)\/162) - r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eii when three letters picked without replacement from iiieiiii?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 47*m + 6 + 116 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 559331 + 180669. Round v to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(-6)\/147 + (-1543945)\/(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**6\/5 - 5*s**2 - 8*s. Differentiate k(v) wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.963646 millennia in months?\nAnswer: 71563.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {z: 3, y: 1, r: 2, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207283 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**8\/1344 - x**7\/126 + x**6\/48 + 3*x**5\/4 + 35*x**4\/6 + 109*x. Let s(c) be the third derivative of m(c). Factor s(j).\nAnswer: -5*(j - 2)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.043 - 26.043. Let u = f + 29. Which is the biggest value? (a) -3 (b) u (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-15))\/t)**(-4\/9)*t\/t**(-15)*t*t*t**(-10) assuming t is positive.\nAnswer: t**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2699*o**3 + 3*o - 113.\nAnswer: -16194*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 7*u - 33. Let d(x) = -x**2 - 4*x + 17. Calculate -5*d(t) - 3*q(t).\nAnswer: 2*t**2 - t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-32))\/(c*c**(-1\/6))*c**(-18)\/(c*c*c**(2\/57)\/c))**(-5\/7) assuming c is positive.\nAnswer: c**(-2685\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31660 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olqonlllylollolnqoq. What is prob of picking 1 q, 1 n, and 1 l?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (1\/5)\/((-6)\/30). Solve -5*f - 15 = 0, c*f + 41 = 3*z + 17 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65113 - -34594. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, and 1 c when three letters picked without replacement from eecexddedc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.067 + 1.573. Let q = 2.41 - t. Let l = q + -0.7651. Round l to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0*c**4 - 2\/33*c**3 + 1\/55*c**5 + 0 + 25*c - 1\/165*c**6 + 1\/11*c**2. Factor o(b).\nAnswer: -2*(b - 1)**3*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -11*c - c + 281. Suppose x - 4 = -2. Solve x*a + c = 7*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100254 (base 7) to base 12.\nAnswer: -9980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588057941 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39588 is divided by 400?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 14 + 3*r - 20*r + 5 - 15 - r**2. Suppose -6 = -4*f + 18. What is the smallest common multiple of f and w(-17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a + 0*a)*(-2*a + a + 0*a) + (-a + 0*a + 0*a)*(-2 + 2 - a) + 7*a - 7*a + 5*a**2 - 2*a**2 + 3*a**2 - 2*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 63948358364.853.\nAnswer: 63948358351.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**7\/21 + 11*p**5\/20 - 77*p**4\/6 - 8759*p**3\/6 + p - 1919. Find the second derivative of v(c) wrt c.\nAnswer: -40*c**3 + 66*c - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089957585 divided by -3?\nAnswer: 363319195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205207503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**3 - 3*x**2 + 27*x - 25. Let n be w(1). Sort n, -60, 0 in decreasing order.\nAnswer: n, 0, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(152)\/((-1*sqrt(32) - sqrt(32))\/sqrt(4)).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -10. Let b = 0 - w. Let h = b - -12.0000044. What is h rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397, 395, 393, 391, 389, 387?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + -1 + 0 - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 247956 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:42 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 - 480179*v**2 + 4 + 480210*v**2 - 3 + 5.\nAnswer: 31*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00467297894 to 7 decimal places.\nAnswer: -0.004673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = 3*z - 4*b, -5*z + 24 = -b. Solve 4*f + 8 = -z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1399.2, -0.1, 5, -63, -5.\nAnswer: -63, -5, -0.4, -0.1, 5, 1399.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 2200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 480?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 + 126749*g - 135662?\nAnswer: -3*g**2 + 126749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43040 = l - 2*m, 2*l - 58496 - 27580 = 2*m. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3\/6 + 11*s**2\/2 + 2*s. Let d be p(-7). What is the tens digit of d\/22 + (-1850)\/(-110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 12:31 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 341 = -4*h + 377, -74*h - d + 666 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 11*n = -161, 3*y = -n + 34 - 61 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b + 33*b**2 - 13*b**2 - 2 + 2*b - 16*b**2. What is the tens digit of n(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 2*k - 3. Let u be l(2). Let o(c) = c - 5. Let b be o(5). Suppose 0*j + u*x = 3*j - 26, b = 3*x - 6. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 11. Let l be (0 - -17) + (3\/1)\/(-1). Let v be o(l). Solve 2\/13*q**5 + 4\/13*q + 2\/13*q**2 + 0 - 6\/13*q**v - 2\/13*q**4 = 0 for q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14942715 by -645.\nAnswer: 23167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 149734*-2396\nAnswer: -358762664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*s + 0 - 952*s + 0.\nAnswer: -886*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*p - p**2 + 15*p**2 - 425*p.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**7\/420 + r**6\/48 + 10*r**2. Solve w(v) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 24*z = -20*z - 28, -5*z + 80 = 5*a. Calculate the highest common divisor of a and 10341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2727, -2, -5 in descending order.\nAnswer: 2727, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1586 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1595 and 1760?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 6*x = 56. What is the greatest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 17. Let b be y(-5). Suppose 2*m - 3*q = 317, -5*m + b*q + q + 803 = 0. Calculate the remainder when m is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -7*c + 133. Let p be (2 - -4) + c\/(-14). Factor -16\/7*l - 24\/7*l**2 - 16\/7*l**3 - p - 4\/7*l**4.\nAnswer: -4*(l + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let o(h) = -h**3 - 37*h**2 - 36*h + 2. Let k be o(-36). Suppose -n - n + 12 = 0. Solve k*z + n = -r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 6:35 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b - 8. Let o be d(-5). Let j(y) = -y**2 + 2*y**o - y**2 + 2*y**2. Let q(f) = 7*f. Give q(j(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.58553 kilograms to grams.\nAnswer: 82585.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5*2)\/(1 - 0). Let k be (-6)\/y + (-2)\/5. Let f = -59 + 54. Put f, 5, k in ascending order.\nAnswer: f, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let w(x) = 2*x**2 - 3*x - 4. Let t be w(3). Let i(b) = -4*b + 4 - 7 + 0*b. Give t*a(u) + i(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3011792136 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 7*o - 5. Let l(q) = -11*q**2 - 15*q - 11. Let p(m) = -13*i(m) + 6*l(m). Let c(a) = -7*a**2 + 5*a - 5. Calculate -2*c(b) + 10*p(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*k - 784*k + 393*k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 6\/5*m**3 + 9\/5*m**2 - 3\/5*m**4 + 12\/5 - 24\/5*m = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16582227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 1, s: 2, o: 1}. What is prob of sequence ssyr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -399851\nAnswer: 399831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 10001111001011001010000?\nAnswer: -10001111001011001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -6, 0.01, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 212, 273, 358, 467, 600, 757?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325397465 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30 + 0*q**4 - q**4 + 6*q**3 + 51 + 3*q**2 + 9*q**2 - 38*q.\nAnswer: -(q - 7)*(q - 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/240 + o**4\/96 - o**3\/12 + 9*o**2. What is j in n(j) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {a: 17, n: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = 3*z + 229 - 503 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -478 + 403.9. Let t = 71 + h. Let q = -3 - t. Which is the nearest to q? (a) 2 (b) 3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/4 - 5*u**3\/3 + 3*u**2\/2 - 6*u + 20. What is w(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 9*h**7\/35 - h**4\/24 + 431*h**3\/6 + 432*h**2. Differentiate d(u) wrt u.\nAnswer: 216*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 9. Let x(u) = u**2 + 2. What is the lowest common multiple of x(0) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001101 (base 5) in base 3?\nAnswer: 10211222222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97499 is divided by 500?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:57 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 21 = 3*f, 4*f + 7*w = 4*w + 30. Let m(j) = 5*j - 6. Let d be m(f). Let s be (-3)\/2*d\/9*2. What is the nearest to s in 0.1, 1, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*q + 245 = -3*f, -662 = -5*f - 4*q. What is the smallest common multiple of 10 and (2\/(-10))\/((-13)\/f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -31.868.\nAnswer: 2.23076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let y = -0.06 + 2.06. Is y equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 46*w. Let q(j) be the second derivative of -11*j**4\/12 - 71*j - 3. What is q(a(r))?\nAnswer: -23276*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 + g**4\/2 + 5*g**3\/3 + 17*g**2\/2 - 4368*g. What is c(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4239170126 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -0.035, 3, -1, -2\/7?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 28 = -c, -458*c + 460*c - 40 = -2*k. Calculate the greatest common factor of c and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 + 1983 = 94*t. Solve 0 = 27*l - t*l - 10, -l - 5 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -224, -155, -86, -17, 52?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -1 - 1\/6*i**2 - 5\/6*i = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783058967?\nAnswer: 3, 66039221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/264 and ((-3)\/528)\/(14\/35*30\/(-536))?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q - 10. Let n(p) = -2*p + 4. What is 3*n(a) + w(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.2. Let o = 303 + -303.1. Let l = 8 + -4. Which is the closest to o? (a) -4 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r**2 + 35*r + 8. Let g(l) = 4*l**2 + 12*l + 3. Let t(a) = 8*g(a) - 3*x(a). Let d be t(-7). Suppose -s = s - d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/((-15)\/18). Let r = -4 - -3.9. Let p = 0.1 + r. What is the smallest value in t, p, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 842744 and 45248.\nAnswer: 6741952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 88 = -21*r. Suppose 2*u + 4*l - r = 0, 3*l - 36 = -3*u - 0*u. What is the remainder when 49 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 3 (c) -5 (d) 0.5 (e) -9 (f) -1.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 269684 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2601468787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:16 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:36 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 - 5*q + 10. List the prime factors of f(8).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 779.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 19*h + 23. What is the units digit of r(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 27. Let h = 1 - a. Suppose 5*l + 4*t = 107, h = 5*l - 2*t + 5*t - 104. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3142033, -6284086, -9426137, -12568186, -15710233?\n\"Answer: o**2 - 3142056*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 1:43 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y**2 + 56*y + 38*y**2 - 57*y in the form v*y + w*y**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**2 + 27*c**2 + 229*c**2)*(-3*c**2 + 4*c**2 + 0*c**2) - 3*c**4 + 4*c**4 + 10*c**4.\nAnswer: 256*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -59, -74?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 14 - (6 + (1 - 7) + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 361. Calculate c(23).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6*2)\/(-2) - -386?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**2 + 15*i + 5. Determine a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 13, 6, -9, -32?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 4. Let w = 9 + -5. Let d be i(w). Let m = 3 - d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72 - -82) + -16 - (38 + -2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**2 - 2*u - 46. Let k(w) = -6*w**2 - 2*w - 52. Let g(a) = 9*h(a) - 8*k(a). Let c be (-2 - 0) + 4\/(-2). Let l be 20\/(-9) - c\/18. What is g(l)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34.9251235 and 28088.\nAnswer: 28122.9251235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5157 and 857790?\nAnswer: 163837890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25 = -5*j, -31*j = -32*j - 5. What is the third smallest value in -1\/4, -21, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.389 - -23.71797. Let l = z + -0.333. Round l to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2. Let j(g) be the third derivative of -g**4\/24 + 4*g**2. What is h(j(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**6\/10 - 3*t**5\/4 - 7*t**4\/4 + 5*t**3\/2 + 9*t**2 - 35*t - 1. Factor k(p).\nAnswer: 3*(p - 6)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c**2 + 40*c**2 + 39*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10*j - 20. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*r)*(-34*r**2 + 4 - 4) to n + b*r**2 + m*r**3 + i*r and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 73773293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123203 (base 5) in base 6?\nAnswer: 34123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 244 or 243?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 14 + 10 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, e: 7, q: 4}. Give prob of picking 1 e and 1 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*w = 240*w - 3410 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*c + 5662 - 5662 + (1 - 4 + 2)*(2 - 2 + c).\nAnswer: -149*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134856*b*t - 3*b + 153927621*t wrt b.\nAnswer: 134856*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 times -1.381104?\nAnswer: 0.49719744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10619, -17191, -23763, -30335, -36907, -43479?\n\"Answer: -6572*t - 4047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856 and 44576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-99)\/(-22)*(-3 - (-1 - 0)). Let y be g\/((-81)\/(-36)) + 11\/2. Solve 3\/2*z + 3 - y*z**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 9*d - 19. What is s(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371.22 + 369. Let w = h + 0.72. What is the fourth smallest value in -2\/13, w, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 1*sqrt(114)*-5 - (sqrt(114) + 5*sqrt(114)*-5))\/(sqrt(48)\/(3*sqrt(8)) - sqrt(600)*-4))**2.\nAnswer: 153900\/14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*2)\/sqrt(5).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4270*-195.\nAnswer: -832650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*g*v**3 + 3*g*v**2 + 4817710*g*v - 3*v**3 - 7218*v**2 + 4*v wrt v.\nAnswer: -222*g*v + 6*g - 18*v - 14436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.0474\nAnswer: -0.01422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5030022 - 13?\nAnswer: 5030005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(2*c**3 - 2*c**3 - 2*c**5) - 3*c**5 + 4*c**5 + 0*c**5 + 3 + c**5 - 3 + 297*c**4 - 297*c**4 + 24*c**5.\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) -3 (c) 0.2 (d) -8\/283\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*n - 74*n + 42*n - 2*n**2 to y + r*n + w*n**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188200 and 1104.\nAnswer: 25971600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 2*t - 4. Let y = 26 + -21. Suppose t*r - 2*v = 26, -3*v = -r + 26 - y. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20128, -20127, -20126, -20125, -20124, -20123?\n\"Answer: x - 20129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104821\/16 - -6555. What is the common denominator of 95\/14 and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-433)\/2*(-182)\/6279*-3 - -19?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*x, 8*a - 2*x = 5*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -11. Let v(o) = -3*o**2 - 5*o + 5. Let p(g) = 8*g**2 + 14*g - 14. Calculate i*v(r) - 5*p(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(2*sqrt(7)) + sqrt(5) + ((sqrt(125) + (sqrt(125) - (sqrt(125) + 0)))**2 + sqrt(125) - sqrt(125)).\nAnswer: 3*sqrt(5)\/2 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2) + (-7)\/7. Let c = -2 - -8. Suppose -c*h + 3*h - 9 = 0. Let b(p) = p**2 + 2*p + 2. Let x(m) = -2*m**2 - 3*m - 2. Calculate f*x(i) + h*b(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 - (-7 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1248*w + 3140*w + 3073*w)*(5 - 3 + 0)*(1 - 2 + 2).\nAnswer: 9930*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1463 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g + 3. Let b(t) = 13*t - 4. What is -7*a(q) - 5*b(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -65. Let i = 54 + z. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3546138412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 - 206. Find the common denominator of -69\/32 and (g - 484\/(-96))*(-83)\/(-1).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -3. Let k = s + 11. Let h(w) = 2*w**2 - 3*w + 6. What is the units digit of h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*j + 37 + 65 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 59*p - 318001 - 586175 = 0. What are the prime factors of p?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 56. Is w(17) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:25 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30055541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (55\/(-15))\/((-1)\/(-3)). Let a = 6 + u. Sort 3, -4, a in decreasing order.\nAnswer: 3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.6. Let t = -67 - -69. Let d(i) = 15*i - 31. Let a be d(t). What is the closest to -0.2 in q, 2\/9, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evmgvil. Give prob of picking 1 v, 1 m, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35497373\/996960 + 239\/14880. Let s = -6\/67 - c. Let -19\/2*i - s*i**3 - 30*i**2 - 1 - 14*i**4 = 0. Calculate i.\nAnswer: -1, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332 - 256. What is the remainder when 221 is divided by a?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u + 0*u - 3*u**3 + 22*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-11*(-13)\/(-858))\/(4\/88)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6 + 1.4. Let p = s - 10. Let u = 0.01 - -1.99. Which is the second smallest value? (a) u (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 13\/166, 6\/11, 89, -3?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/705 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b + 7. Let k(u) = 22 - 9*u - 40 + 10. Calculate -7*a(t) - 6*k(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148979, -148975, -148967, -148955?\nAnswer: -148939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*8\/100)\/((-3)\/45).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-117)*45\/50*1\/(18\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101222 + -1?\nAnswer: -101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -135170 divided by 3862?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 3 - 3 + 4*l**2)*(-l + 3 - 3).\nAnswer: 4*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**4 + 12802*t**3 - 112715*t**2 wrt t?\nAnswer: 72*t + 76812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2 + 0 - 10*q + 2 - 6. Let c be b(-2). Calculate the greatest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463 - 11107*i + 11084*i + 232 + 231.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 684.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 20 = -3*x. Suppose l = 3*t - 34, 3*t - 56 = -t - x*l. Let j = -54 - -99. Calculate the remainder when j is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*w + 59*w + 54*w - 167*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(sqrt(637) + (sqrt(637) + 2)**2)*-4 + (sqrt(624)*5)\/(sqrt(192) + 1*sqrt(192)).\nAnswer: 1125*sqrt(13)\/4 + 5128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6aa - -234?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (8089660\/420 - 6) + (-2)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -59. Let f(t) = -t - 2. Let l(v) = v - 1. Let q(n) = -13. Let k(c) = 4*l(c) - q(c). Calculate w*k(a) - 9*f(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 17. What is the remainder when 63 is divided by i(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h - 78650 = -57*h + 41*h. What is the remainder when h is divided by 1183?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 5. Give m(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j + 96 = -5*z, 0 = 4*z - 5*j + 99. Let k = z - -19. Let i = -21 - -21. Sort k, i, 10 in descending order.\nAnswer: 10, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12672 and 594.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397202.82405 + -397215. Let p = v + 1.17579. Let j = 11 + p. What is j rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911 is divided by 186.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/65836 or 0?\nAnswer: -5\/65836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 6. Let y = -5 - w. Let t be (-1 + 1 - -1) + -1. Which is bigger: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Suppose -3*g + 159 = 3*m, -4*g = 2*m - 4*m - 224. Let c = g - 55. Solve c = -4*z - j - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:07 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**3*n)\/n*n**(2\/5))\/(n*n**(1\/4))**(-16\/3))**(-33))**(-18\/11) assuming n is positive.\nAnswer: n**(2718\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20646204 + 6?\nAnswer: 20646212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 2. Let h(b) = -8*b - 3. Let c(d) = 7*d + 3. Let u(p) = -3*c(p) - 2*h(p). Let q(t) = 3*l(t) - 2*u(t). Let f(o) = -11*o**2. Calculate f(q(a)).\nAnswer: -44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 75 = w. Suppose -20 = 4*a, 5*s - 3*a - 147 = w. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44154*p**3 + 13*p + 33 + 22075*p**3 + 2*p**4 + 22077*p**3 in the form o*p**3 + k + f*p**4 + m*p**2 + g*p and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v + 5. Calculate d(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 - 13 = -5*j, -5*c = -3*j - 8. Suppose 4*w + 3*y = 22, 0*y + c = 2*y. Let m(l) = -w*l**2 + 3*l - 3*l + 0*l. Let o(h) = -2*h**2. What is m(o(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4621 - -4379. Let v = -242968\/27 + t. What is the common denominator of 5\/(-18)*(-36 - -3) and v?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/l**(2\/5))\/l))**(-18\/7))**(-1\/32))**(2\/83) assuming l is positive.\nAnswer: l**(9\/3320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/1200 + 7*h**5\/300 + 31*h**4\/240 - 21*h**3\/10 - 206*h**2. Factor s(m).\nAnswer: (m - 2)*(m + 7)*(m + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 r when three letters picked without replacement from rrfmrrbrjrrrbrrrrrr?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19315728 divided by 155772\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 356805594 by -20499.\nAnswer: -17406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1792940*t**2 + 196424*t wrt t.\nAnswer: 3585880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53412 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-2 + -12)) + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Suppose 2*b + w*g - 8 = 0, 33 = 4*b - 4*g - 7. Solve 3*p = p - b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:07 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-10)*10\/(-4). Solve n*m - 3 = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -3, -4, 110 in descending order.\nAnswer: 110, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/16 - (-71455)\/(-1240)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/23 and 35\/131.\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 0*a**2 - 5*a**2 + 2*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010000000100001000 (base 2) to base 3.\nAnswer: -12112211210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*b - 151*b + 39 = 0. What is the highest common factor of 91 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:13 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/270 - 56\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/5 + 9*c**4\/5 - 22*c**3\/5 + 32*c\/5 = 0. Calculate c.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4683 + -2078. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - -3.87. Let g be (-378)\/(-56) + (0 - 7) - 46\/8. Which is the second biggest value? (a) -7 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4*(-20)\/25. Let y be ((-2)\/k + 3)*1. Let q(m) = y*m**2 - 5*m - 5*m**2 - 3*m + 3*m + 2. Calculate q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/14 and 71\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 3) to base 8.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let s be (-3 - -2*d) + 5. Find the common denominator of (s\/12)\/((-1)\/17) and -56\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t**3 - 19*t**3 - 27*t**3)*((2 + 3 - 6)*(2*t**2 - t**2 + t**2) + (-2*t + 3*t - 2*t)*(t - 2*t + 2*t)).\nAnswer: 96*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-105)\/12) + 47\/188. Solve -7*f + t = 2*g - 12*f, 2*g + 5*f + 19 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + 101. Let s(p) = -g*p + 1135 - 1135. Let x(v) = 16*v**2 - 4 + 4. What is s(x(m))?\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 0.2, 5, 1\/23, 0.205 in ascending order.\nAnswer: 0, 1\/23, 0.2, 0.205, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/p)\/p*p*p*p**(-2\/21)\/p*p)\/(p**(-2\/5))**36 assuming p is positive.\nAnswer: p**(1817\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.395 + -0.5?\nAnswer: 0.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + 17\/(-4). Let a(h) = -3*h + 46. Let k be a(8). Calculate the remainder when (k\/8)\/(w\/(-32)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5 - 72*a**2 - 272*a - 11 wrt a?\nAnswer: -20*a**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18407 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 31992425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = 22. Calculate the remainder when 2*-159*(-1)\/6 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -6, -1\/10, 0.1, -16601?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1950400918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-2 + 0)*26939\/(-62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-90)*75\/6)\/(396\/27).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 40. Let w = g - -10. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ixxqxxqxqxixiixxqix?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -203569, -815394, -1835103, -3262696?\n\"Answer: -203942*o**2 + o + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-102)\/4*(-12 - (-40)\/((-60)\/(-15))). Let g = 4.6 + -0.6. Which is bigger: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:33 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33504.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**7 + 5*b**4\/3 + 25*b. Find the third derivative of y(f) wrt f.\nAnswer: 2520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1514*p - 141 - 6453*p + 143 as g + z*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g + 9. Let n be g\/(-5) - (-78)\/(-180). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2994260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + f**2 + f. Let o(k) = -5*k**2 - k + 3*k**2 + k**2 - 2. Suppose 415*r - 476*r = 61. What is r*i(n) - o(n)?\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 176286265859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 2, t: 3, b: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -714898*k - 488210.\nAnswer: -714898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**4\/4 - 2*c**3 + 3*c**2\/2 + 6*c + 6. List the prime factors of n(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g + 57. Let w(a) = 4*a**2 + 52*a - 62. What are the prime factors of w(g)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 + 2 + 0*x**2 - 3*x**2 - 6*x**3 + 4*x**2 - 61*x in the form o*x**2 + w*x + g + u*x**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21974 is divided by 2744.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*o - 438*o + 15 = 0, 0 = z + o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 6*u - 5. Let f be q(-7). Let x = f + 2. Solve 0 = -3*w + x*n - 3, -4*w + 5*n - 3 + 0 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 h when three letters picked without replacement from ihwak.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:52 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-2)\/(-20)). Suppose l*n + 3*j = 7, -5*n - 4*j - 2 = -8. Let t(m) = 5*m**2 - m**2 - 5*m**n. Let x(p) = -3*p. Calculate t(x(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyy when three letters picked without replacement from vyyvvvvvvvv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*c**3 + 297\/7*c**2 + 74\/7*c + 0 = 0. What is c?\nAnswer: -74, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 1964*n**3 - 962358*n**2 + 1930612*n - 966289.\nAnswer: -(n - 1)**2*(n + 983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 2*m + 3. Let a(v) = 4*v**2 - v - 2. Give -4*a(j) - 3*y(j).\nAnswer: -7*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 595 and 808 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -697 and 5?\nAnswer: -3485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 182697.8g?\nAnswer: 182697800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/23856 and 29\/381696?\nAnswer: 381696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*g**4*s - 50*g**2*s**2 - 7*s**2 - 472*s + 3 with respect to g.\nAnswer: 44*g**3*s - 100*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 9283725?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*i - 0*i - 18, -5*q = -i - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (93\/2)\/(3\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 20 - (84 + -19 - ((0 - 2) + -1)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v**(2\/9))**34\/(v**(-7)\/(v*v**(5\/3))*(v**(-6)\/v)\/(v*v**(-4))) assuming v is positive.\nAnswer: v**(1891\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 3. Let g(t) = -3 + 7*t - 6*t + 0*t. Let c be g(9). Suppose 2*m = -3*m - 3*p - c, -m - 9 = -2*p. What is u(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/181 + -165\/1448. Let k = -7 + 4. Let x be 5 + (k - -1)\/2. What is the nearest to 2\/5 in x, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2821 and -52\/17369.\nAnswer: 48997949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16226335 is divided by 197882?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 5*i + 5. Let c(a) = a**2 + 4*a - 7. Let w be c(-6). Let b be r(w). Suppose 55 = 2*g - 15. Calculate the greatest common divisor of g and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*((-30)\/9)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 488 - 48*m**2 - 488 + (0*m + m + m)*(-4 + 4 - 2*m) as r*m + g*m**2 + x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5057050 divided by 1011410\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952963.\nAnswer: 1952963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c + 340. Let y(m) = -10*m. Calculate a(y(g)).\nAnswer: 140*g + 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from sbdsdsd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 22021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 2361499.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1389092.870771 and -2.\nAnswer: 1389090.870771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 1474 + 1482 = 0, -1 = 3*t + 4*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 8 + 28. Let i be ((-16)\/12)\/(z\/(-6)). Let b(d) = -d + 9. Let r be b(5). Solve -20 = -5*m, -i + 30 = r*s + 2*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose -q + 7 - 3 = v. Suppose -5*f + 39 = q*c - 28, 0 = 3*f + 15. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.63868kg in nanograms?\nAnswer: 80638680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 6485 + 961 = 74953. Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 17*b**2 + 12*b + 4. Let q(i) = -510*i**2 - 357*i - 119. Let s(v) = -4*q(v) - 119*z(v). Let x(u) = 12*u**2. What is s(x(t))?\nAnswer: 2448*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50758 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1903*o + 13869*o = 126176 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -660672 by -288.\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 3*y**2 + y - 18. Calculate the remainder when 330 is divided by m(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z + 4*x - 6, -5*z - 4*x = -41. Let h = -580 - -573. Let p = h + z. Solve 2*l + 3*g + 26 = -p*l, -3*l = 4*g + 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13487513 rounded to three decimal places?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1667882770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2920 - 847 - 9*q + 1267 - 2183.\nAnswer: -9*q - 4683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 q when three letters picked without replacement from {y: 1, l: 1, s: 1, h: 1, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 28*g**2 - 57248*g - 1537088.\nAnswer: 2*(g - 188)*(g + 28)*(g + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*f - 32, -275 = 138*y + 5*f - 47 + 113 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q - 113. Give z(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13142241 + -112?\nAnswer: 13142124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.621402266 rounded to five dps?\nAnswer: -0.6214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -26849, -10, 0 in ascending order.\nAnswer: -26849, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19.8 in 326, -5, -2\/19, 7.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, 89, 204, 301, 374?\n\"Answer: -d**3 + 134*d - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 20570, -4, 66, 1, 3 in increasing order.\nAnswer: -4, 1, 3, 66, 20570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1792*f**3*t - 4*f**3 - 2*f**2*t + 98*t wrt f?\nAnswer: 10752*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27897, 27898, 27899?\n\"Answer: w + 27896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -664.1718193 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284424 divided by -13572?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*n + 72, -z + 31 = 4*n - 42. Suppose -2*j = j - z. Calculate the remainder when 1*(2 - 2) + j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -45 = -6\/391505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/41 (b) -0.5 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -10 + 26 + (-32 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-4) - (-6)\/(-4). Let z be -1 + 7 - 1 - c. Solve -63*y = -66*y + z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 385357713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8104 + -8100. Solve -3*f - 8 = -w*o, 5*o - 15 = 3*f + 2*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92a93 (base 11) to base 3\nAnswer: -20220012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/((q*q**(2\/25)*q)\/q*q)*(q*q*q*q*(q*q**(2\/7)*q*q*q)\/q)**(24\/5)*(q**(-2\/17)*q**2)\/((q**(-1\/5)*q)\/q**(-1\/2)) assuming q is positive.\nAnswer: q**(181319\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y. Let j be v(-1). Suppose -5*u - f = -94, -u + 4 = -j*f + 2. Suppose 4*z + 12 = 5*z. What is the least common multiple of u and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(-6*t**2 - 46 + 46).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 f when three letters picked without replacement from {t: 5, s: 3, r: 3, f: 3, e: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 9 - 3*q**2 - 8 + 27*q**4 - 26*q**4 to b*q**2 + p*q + k*q**4 + f*q**3 + x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-29 + 23 + 34 - 26)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3 + 1 + 15*q + 2 - 14*q. What is the remainder when (-1 + 2)*46*1 is divided by l(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 130, 128, 126?\n\"Answer: -2*u + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 18*m**3 + 5*m**3 + 8*m**3.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1428*j + 719*j - 1292*j**2 + 709*j in the form z + x*j**2 + i*j and give x.\nAnswer: -1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -3*n - n + 3*o, 4*n - 507 = -5*o. Suppose -n = -5*i - 33. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -394*q**5 - 1426*q**3 - 537024*q**2 wrt q.\nAnswer: -23640*q**2 - 8556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -103*f - 63. Let q(m) = -49*m - 31. Calculate -4*k(s) + 9*q(s).\nAnswer: -29*s - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -372? (a) 0.2 (b) -2\/5 (c) -341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16\/3 (b) -4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -70. Let m = w + -57. Suppose -5*u + 2 + 3 = m. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*d*w**3 - 2*d*w**2 - 2*d*w + 394*d + 656*w**3 - 120*w with respect to d.\nAnswer: 45*w**3 - 2*w**2 - 2*w + 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179600000 = -2*o - 2*o. Round o to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*r - 12*r + 10*r)*(266*r - 428*r + 258*r)*(-r - r + 0*r).\nAnswer: 5184*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1927 + 2304*l - 961 - 966 to the form b*l + r and give b.\nAnswer: 2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405349918 to the power of 1\/3, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5*w*w**13*w assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/13 - (-6058)\/169. Let g be (-42)\/b - 2\/(-4). Let x = -5.08 + 5. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.85 - -0.15. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*1\/6*4. Let p be (4\/12)\/(3\/18). Let g(x) = 6*x**2 + v*x**p - x + 3*x**2. Give g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, i: 8, l: 3}. Give prob of sequence iq.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67938 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 42020*w + 175326585.\nAnswer: -5*(w - 3059)*(w + 11463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*h = 121 + 851 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 164.2623 and -4703287.8.\nAnswer: -4703123.5377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u - 1. Let f(a) = 23*a - 2. Let j(z) = -6*f(z) + 17*o(z). Let c(l) = 2*l + 1. Let t(x) = -3*c(x) - j(x). Give t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -565, -567, -569, -571, -573, -575?\n\"Answer: -2*y - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - i - 463 = -y, 4*y - 460 = 4*i. Suppose 4*z - y = o - 4*o, 5*o - 3*z = 232. What is the remainder when 350 is divided by o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 13 = -2*a - 9, 2*a = -4*t + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t + 2. Let o be w(4). Let f be (-32)\/24*33\/(-2). What is the highest common divisor of f and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 377318.\nAnswer: 150927.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p + 9. Let l be a(2). Let y(u) = u + 6. Let z(v) = -v - 1. Determine l*y(h) - 3*z(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 + -226?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(52))**2 - (-4*sqrt(208) - sqrt(13)).\nAnswer: 49 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 431077 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22151, 29478, 36805, 44132, 51459?\n\"Answer: 7327*h + 14824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/97 and 42\/31.\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110949001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5250)\/1500*(-18)\/(-14)*26.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -1293, -2470?\nAnswer: -3647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 41*o + 182. Let y be c(-36). Solve -y*z = 44 - 48 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -214, -678, -1392, -2356, -3570, -5034, -6748?\n\"Answer: -125*v**2 - 89*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -834, 27, -5 in increasing order.\nAnswer: -834, -5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -1\/12*b**2 - 9 + 0*b**3 + 1\/24*b**4 + 0*b. Factor y(o).\nAnswer: o*(o - 1)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -97*g - 137. Let z(o) = -o. Let n(d) = q(d) - 5*z(d). What is the derivative of n(v) wrt v?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8536379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 4.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/18 + 133\/42. What is the second smallest value in l, -1, 1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (414\/276)\/(12\/(-94)) + 13?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187205.\nAnswer: 5, 37441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 17*d - 27. Let w be u(2). Solve -3*k + 2*k = -2*p - w, 2*p - 2 = -2*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11102, 22208, 33316, 44426?\nAnswer: 55538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 109804.0551 to the nearest one thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**3 + 4*w**2 - 15*w**3 + 10*w**3 - 67*w + 7*w**2 - 16*w**2 to u*w**2 + m*w + r*w**3 + b and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 28*b + 44 = 0. Suppose -b*w - 13096 = -19*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0, -2\/11, 99?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-5)*m*m)**37*(m**9\/m)\/(m**(-7)\/m) assuming m is positive.\nAnswer: m**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 474208 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 26*b**2 - 2*b - 213. Let n(p) = 2*p**2 + p. Let z(j) = -i(j) - n(j). Let w(g) be the first derivative of z(g). Give w(1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64516025*y**3 + 65634598*y wrt y.\nAnswer: 387096150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 3*w - 3*w)*(34 + 5*w - 1499*w**2 - 1493*w**2 + 2993*w**2).\nAnswer: w**4 + 5*w**3 + 34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 11*j - 34. Let w(u) = -2*u**2 + 9*u + 34. What is -5*k(p) - 6*w(p)?\nAnswer: 2*p**2 + p - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 15. Suppose -68 = -3*s + 8*s + 2*t, -4*t = 3*s + 38. Let p = -94\/7 - s. Which is the biggest value? (a) p (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*c**4 + 9*c**4 - 16*c**4 - 2*c**4 + c**4 + 0*c**4 + (-c**4 + 2*c**4 + 2*c**4)*(2 - 5 - 1) to d*c**2 + s*c**4 + m + j*c + z*c**3 and give s.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/17 - 48*l\/17 + 88\/17.\nAnswer: 2*(l - 22)*(l - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70252 = -6278*n + 11296*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94249380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 66. What is the highest common factor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1972, 1968, 1964, 1960, 1956, 1952?\n\"Answer: -4*t + 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2 - 8*g - 3. Let l(w) = -2*w**2 + 3*w + 1. Give 3*a(d) + 8*l(d).\nAnswer: 5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -c - c + 5*a, 5*c = a + 5. Suppose 0*p - c*b + 2 = p, -5*p + 85 = -5*b. Suppose -5*j + p = -j. Do 0 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642 and 6848.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3969*u**5\/4 - 31059*u**4 - 157417*u**3\/4 - 36801*u**2\/2 - 3699*u - 270 = 0 for u.\nAnswer: -30, -3\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5 + 36*h**4 + 186*h**3 + 160*h**2 - 384*h = 0.\nAnswer: -8, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35943697 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78 + 442*t + 197 + 31 + 107 + 103 wrt t?\nAnswer: 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3\/2*a + a**3 + 1\/2*a**5 + a**2 + 1\/2 - 3\/2*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137096 plus -29?\nAnswer: -137125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65115\/4 not equal to 1675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/21 or 2?\nAnswer: 34\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-14)*45\/((-1620)\/(-252))*57?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3056 is divided by 2859?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -79*b + 4. Suppose 4*x + x - 25 = 0. Suppose -6*q + 3*q - 10 = 2*a, -16 = x*a + 3*q. Let f be z(a). Calculate the highest common factor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3\/8 (b) 5 (c) 0.12 (d) 6\/635\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 525.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 832693987 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 14724544*g\/5.\nAnswer: 2*g*(g - 7362272)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*b - 125 = 0, -n - 2*b + 25 = -0*b. Let t = 3985.9 + -3986. What is the nearest to t in n, 1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-75))\/(-4))\/((-24)\/180)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/702413 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -479.4 - -479.6. Which is the fourth smallest value? (a) -0.5 (b) 4 (c) 2 (d) -0.4 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38089943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 290 divided by -29\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 485 = m. Let n = m + 137. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 120. Let y = -79 - j. Solve 2*l = -y - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 856 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.48797494 - 3.43797311. Let m = f - -1.95. What is m rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 2*c + 49, 0 = -2*f - 2*c - 16. Let t = f + 21. 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: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31218 and 352?\nAnswer: 499488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-8)\/(-112)*21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6828 - -568. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221 - 177. Suppose 2*f - 444 + w = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*558\/(-2480)*50*6\/(-5)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*u + 29, 0 = 4*g - u - 26 - 7. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 393 + -386. Let x be 1 + 4 + -12 + a. Solve 3*u - 5 = 3*k + 2*u, x = k + 5*u - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 53, 4, 16, -1.\nAnswer: -5, -1, 4, 5, 16, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144950116 a multiple of 1335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120726, -120727, -120728, -120729, -120730?\n\"Answer: -p - 120725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 31*y - 61236. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/(-22))\/((-6)\/(-424)). Let n = p + 1170\/11. Factor -n*q**2 + 2\/11*q + 0 + 2\/11*q**3.\nAnswer: 2*q*(q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-72) + (-12)\/(-16).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/6130644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 8781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from {a: 4, w: 2, p: 7, x: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 7*z - 5*z + (3 + 4 - 3)*(-z - 2*z + z) to c + d*z and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 5, j: 1, z: 6, u: 1}. What is prob of picking 1 o and 1 r?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 45 - 9. Suppose -5*v + r = -2*v. Let a(w) = w - 3. Calculate a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71.6 + -65.6. Suppose -28*i - 384 = 20*i. What is the nearest to i in 1\/2, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 236.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {o: 5, m: 1, y: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37, -1\/5, -0.3?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14826174*b**2*v**4 - 107*b**2*v**2 - 135*b**2*v - 14*b**2 + 2*v**2 + 3 wrt v?\nAnswer: -355828176*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmmbmm. What is prob of sequence bmm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 603, -0.4, -12, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 41, -5, -1, -14.\nAnswer: -14, -5, -1, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*p - 132, 0*m - m = 4*p - 33. Let y = m - 15. Let b(u) = -u. Let v be b(-2). Calculate the greatest common divisor of v and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132\/83 - 7243\/1162. Calculate the common denominator of ((-1)\/(-5))\/(160\/(-2350)) and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/45 - -4)*(2 + -17)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 7*m**3 + m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 4:59 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j*j\/((j\/j**(-2))\/j)*j**3\/j*j*j**(-1))\/((j**(-3)*j)\/j**(-1\/3))**49 assuming j is positive.\nAnswer: j**(242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 - 34*w**2 - 237*w. Let k(j) = 3*j**3 + 18*j**2 + 119*j. Let a(h) = -15*k(h) - 6*n(h). Factor a(l).\nAnswer: -3*l*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*f + 3 = 4*o - 265*f, -4*o = -4*f - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(147) + -1 + -1 + sqrt(363) + sqrt(3) + sqrt(21)\/(sqrt(28)\/sqrt(4)) + (sqrt(3) - sqrt(21)\/(sqrt(7)*-1)))**2.\nAnswer: -92*sqrt(3) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -10. Let h = -7 - j. Let i(o) = -3*o + 4. Let c be i(3). Put c, -1, h in ascending order.\nAnswer: c, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1100101000011101?\nAnswer: 1100101000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 7.1.\nAnswer: 3.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -g - g - x, 4*x = 0. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23622)\/606 - (-92)\/(-4646).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/13472148 and 53\/47152518?\nAnswer: 94305036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - (1 + -4)) + 1. Let z be c + (-1 - -3 - -1). Suppose t = -z*t + 1580. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1809601?\nAnswer: 6\/1809601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 1, 4, -5 in increasing order.\nAnswer: -14, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -195*a - 8. What is the units digit of v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*q - 7 - 10, 26 = 2*a + 2*q. Let s = -7 + a. Solve -1 = 3*w + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 0*w**2 - 32 + 31\/5*w**5 + 0*w**4 + 74\/3*w**3 - w. What is the third derivative of d(r) wrt r?\nAnswer: 744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 4*y**2 - 4*y. Suppose v = -5 + 8. Suppose -v*s = 11*s + 42. Determine d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 12:29 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c - 23. Let w be d(-9). Let x(f) be the third derivative of 0*f + 1\/3*f**3 - 2*f**2 - 1\/12*f**w + 0. Differentiate x(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240 - -237. Let t(u) = u**3 - 2*u**2 + 1. Let q be t(-1). Let r = q + 2. Sort o, -1, r.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -146 + 170 + (3 - 30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -6. Let m be (4\/16)\/(o\/8). Let q = -4.003464 + 0.003464. Which is the nearest to q? (a) m (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (-3 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 1, q: 3, o: 2}. Give prob of sequence qkco.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -11. Let d = -0.19 - -0.33. Let j = 1.86 + d. Which is the nearest to j? (a) 0 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2018736nm to centimeters.\nAnswer: 0.00000002018736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -10 - (11 + -2) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 614823011*f - 1186926562 wrt f.\nAnswer: 614823011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 10*r + 4*g + 21, -52 = 4*r + 14*g. Solve -o + r = 2*d, -5*d + 5 + 20 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 28. Suppose 5*h - b = 16. Let x = h - 4. Calculate the smallest common multiple of 7 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 197. Sort -1\/4, -1\/7, o, 0.3 in decreasing order.\nAnswer: o, 0.3, -1\/7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 2. Does 13 divide 2\/l - 4\/(36\/(-1401))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 12 - 3. Put 5, t, -1 in increasing order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 958940 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h + 0*h)*(4*h + 3*h - h)*(-6 + 2 - 4)*(-2 + 1 + 3)*(4 - 4 + 2*h).\nAnswer: -384*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - n + 53. Give f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 43*c - 37. Let h be w(-42). Suppose -h*s + 17669 = 4*i - 28894, 4*i - 18630 = -2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.54785796 rounded to two decimal places?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 79 - 76. Sort 4, f, 0.05.\nAnswer: 0.05, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 630. Let v(o) = -o + 145. Calculate f(v(h)).\nAnswer: -h**2 + 290*h - 20395","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*s - 125, 60 = 5*s - 3*k - 65. Suppose s = 2*x + 15. Suppose 2*l - 2 = l. What is the remainder when x is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 39 = -b. Suppose 2*x = 16*f - 12*f - 140, -3*f = -x - 104. What is the greatest common factor of b and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:57 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11415 + n**3 + 190*n**2 + 4*n**3 - 4*n**3 - 3*n**3 - 11410 as f*n + z + j*n**2 + l*n**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2244 + 4347?\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 - 416 = 6*m + 380. Let t(q) be the first derivative of -14*q + 0*q**3 + 0*q**2 - 3\/4*q**m + 7. Find the first derivative of t(v) wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68743, -68797, -68893, -69037, -69235?\nAnswer: -69493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1224858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 112 = -33*y + 37*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 188.6 + -188.3. Which is the nearest to -1\/4? (a) t (b) 4 (c) 5\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 72*s - 67*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 44*v**2 + v. Let t be h(-2). Let x = t - -11. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 a factor of 7398918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1250*z**3 + 4900*z**2 - 398*z + 8.\nAnswer: 2*(z + 4)*(25*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2749*t**2 + 13688*t**2 - 10855*t**2.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clggcggsxgcsi. What is prob of sequence xssg?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41.1139 and -1.6.\nAnswer: -65.78224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - (-4)\/3. Suppose h - 4*z = -9, -3*z - b = -11. Factor 14*v**4 + 8*v**2 - 2 + 2*v**5 + 2 + 12*v**h + 2*v - 6*v**4.\nAnswer: 2*v*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - (-1309)\/33. Let f be (4\/(-10))\/((-4)\/y). Suppose f*j - 20 = 872. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c**5\/5 - 8328*c**4 + 30549102*c**3\/5 + 614566004*c**2\/5 + 591865896*c - 179280720 = 0 for c.\nAnswer: -10, 2\/7, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -10)*16\/56.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ror when three letters picked without replacement from oooooorooorooooo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -2\/5, 0.2, -136181.\nAnswer: -136181, -2, -2\/5, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g - 5859 + 6667 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1144.29 and 12376.\nAnswer: 13520.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 86840799 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172171, -343739, -514095, -682633, -848747?\nAnswer: -1011831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 714.7 - 714. Which is the biggest value? (a) 5\/4 (b) 0.6 (c) p (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20686330 is divided by 10343091?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (188*r**2 - 562*r**2 - 2843*r**2)*(-r - 2*r + 4*r) - 3*r**2 + 8*r**3 - 9*r**3 + 0*r**2 to the form y*r**2 + j*r**3 + s + v*r and give j.\nAnswer: -3218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 6 = -2*v. Suppose -3*o + 1 = v. Let x be 7 + (1 - 4 - o\/5). Solve -x = 2*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:00 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5\/6 - 22*s**4\/3 + 46*s**3\/3 = 0.\nAnswer: -46, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 293*p**3 - 8*p**2 - 5*p + 2. Does 128 divide h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8 - (-3 - (-18)\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 0)*(-3 + 3 + r) + 80 - 33*r - 80)*(r - r**2 - r).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*(12\/(-2))\/(-12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*d**2 - 1043*d + 52872?\nAnswer: -44*d - 1043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24252\/(-6708))\/((-15)\/(-195)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6212 - -6199. Put c, 2, 0, -7 in decreasing order.\nAnswer: 2, 0, -7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13338037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8946*w**2 - 8946*w**2 + 4051*w**3.\nAnswer: 4051*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 1, 4*k - 5*x + 2 + 1 = 0. Let z be k*(-132)\/(-16)*-2. What is z rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10346650 (base 7) to base 10\nAnswer: -885955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 43 = 5*l, l + 3 = 2*l. Let a = 9 + s. What is the least common multiple of 28 and 15 - (1 + 0\/a)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -30. Let s = -33 - f. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(5) + sqrt(20) + 4 - (-1*sqrt(10)\/sqrt(2))**2) + -4 + (sqrt(180)\/(sqrt(216) - sqrt(6)))\/sqrt(6)).\nAnswer: -64*sqrt(5)\/5 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43410, -86776, -130142?\nAnswer: -173508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -881086.007 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-35) + (-286)\/(-14). Suppose -5*p + 0*p = -r. Solve 0 = 2*z + 2*h + 10, -p*z + 1 = -5*h - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/6 + (-805)\/690 + (-213)\/21\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121202111 (base 3) in base 10?\nAnswer: 71266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:41 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-254 - -263 - (-1 - -10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 17 + -6 + 32 + -35\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 89574 + 3a4?\nAnswer: 89958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 2\/15*d**6 + 0*d**2 - 6*d + 0*d**3 - 10 + 1\/5*d**5 - 2\/3*d**4. Suppose v(s) = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + r + 13, -2*j + 1 + 3 = 4*r. Suppose 12 = t - j*t - 2*m, 0 = -2*t - 2*m - 10. Which is the second smallest value? (a) -4 (b) t (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1032.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 19\/5 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051 less than -1840217.807257?\nAnswer: -1840217.756257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7946 - 9*c - c**2 - 7946 + 15864 as l*c + a + x*c**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(6\/27). Suppose -v*h + 4 = -2*h. What is the tens digit of (-56)\/(-6) - h\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -18. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6734301 nanometers in micrometers?\nAnswer: 0.0006734301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*h + 31. Let n(v) = 1. Let a(x) = -x - 20. Let w(i) = -a(i) - 4*n(i). Let d be w(-13). Solve d*p + h = 7*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8069, -7930, -7703, -7388, -6985, -6494?\nAnswer: -5915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -90*d**2 - 81*d**2 - 3*d + 5 - 868*d**2 + 9*d. Let y be b(-5). What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/g)**(-35)\/(g\/g**(-2\/3))**(-7) assuming g is positive.\nAnswer: g**(455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d**(-4)*d)*d))\/d**6)**(3\/13)\/((d**(1\/2)\/d)**(-2\/77)*d\/d**3*d\/(d**(-4)\/d)) assuming d is positive.\nAnswer: d**(-6558\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 19. Suppose -5*b - 2*w + 9 = -11, 2*w = 4*b - 34. Calculate the smallest common multiple of b and (t\/3)\/(2\/(-3)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 16*p**4\/9 + 554*p**3 + 5968*p**2\/3 + 12296*p\/9 - 2464\/3 = 0.\nAnswer: -308, -2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(544)*-1 + sqrt(2176)*-1)\/(((-1*sqrt(72)*-2 - sqrt(72)) + sqrt(72))\/sqrt(4)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 - 16*o**2 + 12*o**2. Let u(i) be the third derivative of -7*i**4\/24 + 6*i**2. Calculate q(u(a)).\nAnswer: 294*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - 7) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.68564 days to hours.\nAnswer: 1432.45536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a + 65*a + 95 = -5*m, -115 = -7*a + 4*m. What is the remainder when 1927 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2*18\/24*(-110)\/(-33))\/((-6)\/(-2))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 3528.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:41 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16567871 divided by -151?\nAnswer: 109721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q**3 - q**2 - q - 2. Let k be m(-1). Put -1\/5, 3\/4, -0.5, k in increasing order.\nAnswer: -0.5, -1\/5, 3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.77 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 122141243?\nAnswer: 122141304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0*v + 12. Let c(g) = 5*g**3 + 2*g**2 - 6*g + 5. Let w(z) = 6*z**3 + 3*z**2 - 6*z + 6. Let t(p) = 5*c(p) - 4*w(p). Give t(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.93, -0.5, 4, 1\/46?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 144 = 23*d. Suppose 0 = -29*p + d*p + 45. Solve p*r - 8*r = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34068*d**3 + 16373?\nAnswer: 102204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 - 4 = 0. Suppose v*n = 6 + 14. Let l = n + -8. Put 5, -1, l in descending order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 - u - 18. Let z(b) = 11*b**2 - 2*b - 35. Calculate 9*w(k) - 4*z(k).\nAnswer: k**2 - k - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 67 + 0*g**2 + 68. Let c(m) = m**2 + 1. What is c(f) - 3*s(f)?\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.3. Let q = -562 + 559. What is the nearest to v in q, 4, -32?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 512711248 by -32044453.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4*x**3 + 0*x**3 - 3*x**2 + 20 + 3*x**3 + 3*x**3 - 5*x in the form y + f*x**2 + z*x**3 + b*x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r - 67*r**2 + 0*r + 72*r**2 + 8 + 5*r. Let y(u) = -3*u**2 - 9*u - 4. Let q(n) = -6*f(n) - 11*y(n). What is the units digit of q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-40))\/(3\/45). Let w = 22 + 17. Let z = w - o. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -445\/339?\nAnswer: -445\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 654 * -5.\nAnswer: -3270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/9 + 314167*n**2\/9 - 1256620*n\/3.\nAnswer: -n*(n - 314155)*(n - 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13800.114 + 13833. Round y to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -3 + 5 + -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/160)\/(3*-23*18\/(-828)).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4004654*n**3 - 5725*n**2 - 5*n - 2 wrt n?\nAnswer: 24027924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775168 < 1775170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2251*v + 17*v**2 - 284*v**3 - 277*v**3 + 13*v**2 + 563*v**3 + 6*v**2 wrt v.\nAnswer: 12*v + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.195739 rounded to 3 dps?\nAnswer: 1.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*c - 5, 0 = 4*w - 5*c + 8 - 21. Let l = w + 3. Suppose 0*a + a - 2 = 2*b, l = -4*b - 3*a - 4. Let r(x) = 4*x**3 - 2*x**2 - x. What is r(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*w - 0*w - 12, -5*k - 40 = -4*w. Let x = k + 0. Calculate the remainder when ((-2)\/x)\/((-3)\/(-222)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by 354.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 1087 = -16*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(34)\/sqrt(2) + 2*(sqrt(17)*2 - sqrt(17)))*1.\nAnswer: -2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Suppose 2*x = 6 - 2. Let t(v) = 0*v**x - 2*v - 2*v**2 + v - 3*v. Let n(w) = 5*o(w) + t(w). Find the second derivative of n(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048020795 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469999408?\nAnswer: 2, 17, 1727939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 98957, 98956, 98955, 98954?\n\"Answer: -a + 98958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 50. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)\/s**(-2\/7)*s**(3\/2)*s*s**3*s*s*s*s assuming s is positive.\nAnswer: s**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27015778 divided by -2.\nAnswer: -13507889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, d: 1}. Give prob of sequence dbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1813507986 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 646 + 1347*z - 468*z - 414*z - 468*z to f*z + l and give l.\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1869.\nAnswer: -5607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.010438065 rounded to three decimal places?\nAnswer: -5.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 680215, 1360440, 2040665, 2720890, 3401115?\n\"Answer: 680225*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3181 != -39609.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*(217\/62)\/7*17\/2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2250 and 600?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67548*x**5 + x**2 - 37779 wrt x?\nAnswer: 4052880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 9, 187 = -2*v + 6*v + 5*r. Suppose 10 - v = -3*c. Calculate the remainder when c is divided by 18\/8*(-24)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22322115151 - -1?\nAnswer: 22322115152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a482 (base 11) to base 4.\nAnswer: 101230000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -284563\/22 - -12932. Calculate the common denominator of y and 25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 51657980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 7*h**2 - h + 1. Let b(y) = -5*y**3 - 22*y**2 + 79*y - 5. What is -b(v) - 3*m(v)?\nAnswer: 2*v**3 + v**2 - 76*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**3 - o**2 + 2*o - 1. Let a be 2\/(-5) - 84\/15. Let f be 29\/(-4) - (-5)\/20. Let c = a - f. Calculate w(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-15))\/((-1)\/5). Factor -4*s**2 + 5*s**3 - z*s**3 + 2*s**2 - s**3.\nAnswer: -2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*v**2 - 481*v**6 + 9*v**2 + 567*v**6 + 1095*v - 1549*v**6 wrt v?\nAnswer: -175560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2079)\/126*10\/1775. Is b <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -726186\nAnswer: -1\/363093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let g(y) = -3 + l*y + 0*y**2 + 2*y**2 - 1. What are the prime factors of g(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 29*c**2 - 6*c + 6. What is x(2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2139 and -2139 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + 1)\/(-20 - -17). Factor 12*z**2 - 142*z**3 - 140*z**o + 284*z**3 + 2*z**2.\nAnswer: 2*z**2*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -701976 divided by -6\nAnswer: 116996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**6\/120 - w**5\/30 - w**4\/24 - 3*w**2. Factor c(h).\nAnswer: -h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8217, -6371, -4525, -2679?\n\"Answer: 1846*b - 10063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {f: 10, q: 2}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-4)\/(-6))\/(-1))\/((-4)\/444)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4*c - 20, k - 5*c - 19 = -k. What is the least common multiple of 100\/8*(-24)\/(-30) and k*(5 + -1 + -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/30 + 29*o**5\/60 + o**4\/6 - 7*o**3\/2 - 2*o**2 + 2. Calculate the remainder when 214 is divided by z(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5872339 is divided by 5872326.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1892 + 6235\/4. Let d = w - -621\/2. Find the common denominator of 109\/10 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 + 1643*i\/3 - 9831\/2.\nAnswer: -(i - 3277)*(i - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-181373*y + 181373*y + 22870*y**3)*(-3*y + 0*y + 2*y) to x*y + h*y**3 + u*y**2 + j + a*y**4 and give a.\nAnswer: -22870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282320, -282318, -282314, -282308, -282300, -282290, -282278?\nAnswer: -282264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 13. Calculate the remainder when 66 is divided by o(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735011677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 2889*m + 8346321\/2.\nAnswer: (m - 2889)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/(b*b**(-1\/2)\/b*b))**(-13) assuming b is positive.\nAnswer: b**(91\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 3283*l + 52272.\nAnswer: (l - 3267)*(l - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 17*c**3 + 19*c**2 + 7*c - 7. Let v(i) = -9*i**3 - 10*i**2 - 3*i + 3. Let u(h) = 6*l(h) + 14*v(h). Find the third derivative of u(j) wrt j.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + 1. Let v be l(1). Let n = 15 - 15. Suppose 3*g + v - 57 = n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4 + 46. List the prime factors of (-220)\/(-6) + (-7)\/l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41025581*w - 24255156 wrt w.\nAnswer: -41025581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(28\/8) - 15\/(19845\/476).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 2:25 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - n + 162 = 4*n, -5*y + 2*n + 783 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awqa when four letters picked without replacement from {q: 3, w: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/4 + 10777377*g**2 + 86219019*g\/4 + 21554755\/2 = 0. Calculate g.\nAnswer: -1, 43109510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -7, 3, -5, 226, 0, -9.\nAnswer: -49, -9, -7, -5, 0, 3, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1679, -3355, -5031, -6707, -8383, -10059?\nAnswer: -11735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, k: 4, b: 1, r: 1}. Give prob of sequence nk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -14, 0, -17, 3 in ascending order.\nAnswer: -17, -14, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**2 + 0 + a - 3\/10*a**5 - 1\/6*a**3 - 1\/42*a**7 + 1\/3*a**4 + 2\/15*a**6. Factor s(n).\nAnswer: -n*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (5 - (6 + 3 + -2))) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10 + 2 - (-2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 767766075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 - 187. Suppose 0 = -p*m + 1 - 14. What is the nearest to -1 in 0.6, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 8. Let g be l(-6). Let y(a) = -3 + a**2 + 2 + g*a - 5*a + 4*a**2. Let q = -22 - -21. Calculate y(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23922829.\nAnswer: 7, 23, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 15. Let y = -3 + 0. Let k be (30\/25)\/(y\/(-10)). Solve -c = 2*g + f, 3*f - 4 - 1 = k*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -25. Solve -3*g = a + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123035 + 708*n - 123035.\nAnswer: 708*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123893731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.166 + -1.786. Let z = 0.11 + x. Let k = z - -1.437. Round k to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*-1*-2*(-5)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -46.3. Let o = 18.6 - s. What is the nearest to -5\/6 in 0.3, o, 4\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, -0.2, -4, -0.07 in descending order.\nAnswer: 2\/49, -0.07, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m + 1. Let x(b) = -150*b + 77. Let c(d) = 37*d - 20. Let w(i) = -23*c(i) - 6*x(i). Calculate 8*n(k) + 3*w(k).\nAnswer: 19*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4208254m in micrometers?\nAnswer: 420825.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 4909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3194, -25615, -86530, -205205, -400906, -692899, -1100450, -1642825?\n\"Answer: -3211*y**3 + 19*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j + 3. Let o be i(1). Let l be o\/(14\/(-8))*3\/(-6). Let z(x) = -5*x**2 + 3*x. What is z(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4 - 0. Let i be 1\/v*(-7 + 7). Let s be (i + 2 + -3)*1. Put s, 4, 2 in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*m + 37*m + 2 - 5*m**2 + 10*m**2 in the form y + d*m + g*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 5, -12, -7 in ascending order.\nAnswer: -12, -7, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1240080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u - 8. Let w = u - 1. Let p = -9 - w. Sort -2, p, 0 in increasing order.\nAnswer: p, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 1\/7, -111.28 in ascending order.\nAnswer: -111.28, 1\/7, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 115. Let h be s(22). What is the highest common factor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*k + 36 - 36)*(31*k - 56*k - 77 + 23*k) to the form d*k**2 + b + l*k and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17*b - 99. Let h be k(-6). Solve -5*o - w = 2*w - 15, h*o + 5 = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7441? (a) 0.5 (b) 0.2 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0173941 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = a - 18, -4*a - 2*t + 6*t + 52 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109217892 to the power of 1\/2, to the nearest integer?\nAnswer: 10451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*d + 70. What is the remainder when 18 + -4 + 420\/5 is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:10 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-144)\/(-21))\/(-12))\/(4\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**8\/42 + m**4\/12 + 7*m**2. Find the second derivative of b(a) wrt a.\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4\/4 - b**3\/4 + 9*b**2\/4 + 9*b\/4 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = h + 8*k - 27, 5*h + 5*k - 210 = 0. Suppose q + 0*q = -b + 39, q = -2*b + h. Calculate the remainder when 154 is divided by q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1371294 and 914196.\nAnswer: 2742588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + j - 5. Let r be n(0). Let q = 10 + r. Solve 4 - q = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiii when four letters picked without replacement from fifiifiifiiffifi?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 30 - 3. Let a(b) be the third derivative of 7*b**4\/8 - 8*b**3\/3 + 552*b**2 - 18*b. Let w(o) = -4*o + 3. What is g*w(z) + 2*a(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16187182, -16187181, -16187180, -16187179, -16187178?\nAnswer: -16187177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213\/2 - 1103\/10. Let h = -9.6 + 5.6. Let x = -4 - h. Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1663 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 939324 and 1416.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -5*c - 4 + 1\/2*c**2. Determine d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, i: 3, s: 1, f: 1, w: 2, c: 1}. Give prob of sequence wc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/46)\/((-14810)\/34063).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 747?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20.4 from -0.157.\nAnswer: 20.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o - 25 + 25)*(3*o - 7*o + 2*o)*(-2 - 2 + 1).\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272*m**3 - 453*m**2 - 301*m**2 - 777*m**2 + 377*m**3 - 1067*m**2 wrt m?\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-10)\/8) - 108800\/(-56000).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*2\/4)\/((-22)\/88). Which is the nearest to -2? (a) -0.5 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 703, 1067, 1431, 1795, 2159?\nAnswer: 2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 101001000101?\nAnswer: 101001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/1771 and 47\/98.\nAnswer: 24794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 2*s**2 + 11*s**3 - 3*s + 2*s**3 + 5 - 3*s. What are the prime factors of g(2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + -7?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.46 - -1.64. Let z = m - 2.1. Let f = -17 + z. Put 0.3, 1\/5, f in descending order.\nAnswer: 0.3, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 66 + 1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*h - 4 + 9, -5*n + 50 = 5*h. Let u be (-4 - 0) + 20 + -16. Which is the fourth smallest value? (a) n (b) -1\/2 (c) -7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 4\/9, 0.2, 0.7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 1, -2 = 3*i + g. Let u(t) = 3*t - 6*t + 4*t**3 + 3*t - 1 - 2*t. Calculate u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:32 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 26, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (12 + -30 + -1 + 10 + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93, 189, 287, 387, 489?\n\"Answer: v**2 + 93*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 + 2.37. Let w = k - -3.13. Which is the third biggest value? (a) 0.5 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.7 (b) -1 (c) -4 (d) -3 (e) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o + 1. Let a be u(2). Let s(c) = 318*c**2 - c. Is s(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8 - r**3 + 28409*r**2 - 28416*r**2 + r - 4. What is o(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d - 4. Let f = -168 + 166. What is the remainder when 70 + (2 - 2\/1) is divided by o(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -7\/126610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*w - 5*h, -8*h = w - 13*h + 11. Let i(y) = -7*y**2 - 2*y - 21. Let d(r) = -3*r**2 - r - 10. Calculate w*i(z) + 13*d(z).\nAnswer: 3*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62643 + 25659 = 679*w + 32953 for w.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 9*v**2 + 13519*v - 67551. What is n(5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 2*c**5 + 3*c**5 + (-4*c**4 + 3*c**4 + 2*c**4)*(0*c - 5*c + 3*c) + 2*c**5 + 3*c**5 - 7*c**5 - 2*c**4 + c**5 + 2*c**4 + 5*c**5 - 42*c**3 + 42*c**3.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/616 and -89\/852621?\nAnswer: 6820968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1332?\nAnswer: -1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 512b3a?\nAnswer: -512b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390477975?\nAnswer: 3, 5, 5206373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 852 + -852. Let m(s) be the third derivative of 0 + 1\/4*s**4 + u*s - 7\/6*s**3 + 6*s**2 + 1\/60*s**5. Determine m(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.1 (c) 16 (d) -0.427\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -17. What is the greatest common divisor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/2 + 5*f**2 + 19*f. Differentiate j(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/(-11)*(-1)\/(-1). Let z be ((-192)\/(-80))\/(l\/20). Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -2*h, -h + 3 = 2*h + 4*v. Suppose -3*p + h = 4. Calculate the smallest common multiple of (-28)\/6*(-2 + p) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - 67?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-18) + 16\/72. Is 12\/133 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*u + 4*u - 4*u)*(3*u - 2 - 4*u + 0*u) in the form c*u + m*u**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400462098?\nAnswer: 2, 3, 17, 157, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 41772412943.\nAnswer: -41772412939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1465 is divided by 7822\/26 + ((-1)\/(-4))\/((-91)\/(-56)).\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0 - 6. Suppose 0 = 3*m - d*l + 30, -4*l = 5*m + 11 + 12. Let k be m\/(3 - 4 - 0). Calculate the greatest common divisor of 70 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 6}. What is prob of picking 2 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1857 + -1850. Which is smaller: 1\/17 or w?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1.1, 17\/24 in descending order.\nAnswer: 26, 1.1, 17\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 20*r + 26. Let n be z(-21). Solve -f + 3*l + n - 4 = 0, 0 = 4*l - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-15))\/8*5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 20 = 2*f. Find r, given that 0*r**f - 2*r**4 + 3*r**2 - 3*r**4 + 2*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3413*j**2*p + 4910*j**2 + 2*j*p wrt p?\nAnswer: 3413*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/((-4)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p**3 - 5*p**3 + 0*p**3)*(1 - 2*p - 1) + p**4 - 2*p**3 + 2*p**3 - 20 + 15*p**4 + 20)*(3 + 3 + 4) - 35*p**4 - 31*p**4 + 28*p**4.\nAnswer: 162*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -129. What is the common denominator of (-8)\/2 + (-228)\/c and -17\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose 21 = l - 66. Suppose z*b - 6 = l. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c22 (base 14) to base 10\nAnswer: -2382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12.3. Which is the third smallest value? (a) -0.2 (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Suppose h + 62 = y*h. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12381*b**6 - 12558*b**2 wrt b.\nAnswer: -1485720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69, 122, 171, 216?\n\"Answer: -2*s**2 + 59*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1552 + -1549. Put y, -3, -18 in increasing order.\nAnswer: -18, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.44. Let m = h + -4.96. Let p = 3 - 0. What is the nearest to 1 in m, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 n when four letters picked without replacement from {n: 2, s: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 + 210. Find the common denominator of 121\/80 and r + 0 + 3 - (-2227)\/(-952).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 + -172. Let v be (18\/9)\/(0 + s). What is the nearest to 2 in 3, -1\/6, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/3*(((-18)\/40)\/3)\/((-10341)\/1915)?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 7*h + 2. Let l be u(-6). Suppose -l*o = -20*o + 120. Let p = o - 7. Solve 0 = 2*f - p + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -914*w - 160641. Let h be r(-176). Let d be (-4)\/(-14) - 60\/14. What is the second smallest value in -0.3, h, d, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1066*u - 922*u + 1443*u)*(-4 + 4 + 2*u**2) + 3*u**2 - 3*u**2 - 2*u**3 as t*u**3 + m + a*u + c*u**2 and give t.\nAnswer: 3172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -4*r**3\/3 - 30. Let y(b) = -6*b**2. Calculate y(u(o)).\nAnswer: -96*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)\/z**(-7))\/(z**(-10)*z\/z**(2\/73)*z) assuming z is positive.\nAnswer: z**(7752\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 3)\/1*-3. Solve v + r*v = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -927 - 0.4.\nAnswer: -927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -121, -2, -0.2, 3163, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*6*5\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 6*i + 35. Put i, -4, 3 in ascending order.\nAnswer: -4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*r - 142*r - 117*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -2, 17, -5\/4, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 400972564, 400972565, 400972566, 400972567, 400972568?\n\"Answer: a + 400972563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 212652 + 1380024 + c + 349235.\nAnswer: 2*c + 1941911","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(121))\/sqrt(11) - sqrt(11) - (sqrt(99) - sqrt(11))*-2) + 0 + -5.\nAnswer: -5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.39 + -6.61. Let d = a - -7. What is the third biggest value in d, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 5*b + 4. Let c be l(3). Suppose p - 21 - c = -h, -2*p = -h - 89. What is the second derivative of -p*a - 1 + 47*a + 4*a**4 + 1 wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -10 (b) 0.3 (c) 0.36 (d) 2.8 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.3 - 5. Let w = 1.9 + -1.7. Let m = w - d. Which is the second smallest value? (a) -1 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (0 - 2 - -1). Let a = r + 3. Suppose -3*b - p + 32 = 0, -5*p + 7 + 9 = a*b. Calculate the greatest common factor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -6 - -15) + 11 + -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-3)*(6 - 7). Let a(d) be the third derivative of d**4\/24 + 4*d**3\/3 + 7*d**2. Let q be a(p). Solve -2*m + m = q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f - 144*f**2 + 52*f - 157*f**2.\nAnswer: -301*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*b = -398*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65.0000109 + 65. What is s rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 373967 at least 373968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-126)\/28)\/(6\/232). What is the common denominator of k\/(-60) - (-2 - 1) and 53\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -851773 (base 9) to base 5.\nAnswer: -112202214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 321, -1, 65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2907?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 = a. Suppose -3*f = -2*f. Suppose 4*x - 31 - a = f. What is the greatest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30057 and 7.\nAnswer: 210399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226*k + 240*k - 393*k)*(6 + 13 - 1).\nAnswer: 1314*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s + 2. Let c(a) = 2*a**2 - 5*a - 5. Let r(z) be the first derivative of z**2 - 31*z + 5. Let b be r(13). Determine b*x(j) - 2*c(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 23. Let c be v(14). Sort 0.4, -6, c, 1\/3.\nAnswer: -6, 1\/3, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 17 = -2*s, s + 4*p + 6 = -2. Suppose 6*b - s = 8. Suppose 6*i - b*i = 16. Calculate the least common multiple of i and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*3\/78)\/2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2320, 28, 22?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 4*d + 1. Let n(y) = -3*y**2 + y - 1. Let z(l) = -7*n(l) - 4*q(l). Determine z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 0*d)*(-9*d**3 - 21*d**3 + 5*d**3 + (-2*d - 3 + 3)*(5*d + d**2 - 5*d)).\nAnswer: 54*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*h**3\/7 + 3459486*h**2\/7 - 9225200*h\/7 + 6150112\/7.\nAnswer: -2*(h - 192191)*(3*h - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -28*z**5 + 2920*z**4 - 73156*z**3 + 217672*z**2 - 183856*z + 36448 = 0.\nAnswer: 2\/7, 1, 2, 34, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 2*d**2 + 0*d**2 - 4*d**2 - 4*d**2 + 11*d**2 + (-d - 4*d + 3*d)*(2*d - d - 2*d) - 4*d**2 + 3*d**2 + 2*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/10))\/y**8*(y**(2\/3))**(-6) assuming y is positive.\nAnswer: y**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 6*p + 3*p - 3*p + 3*p - p + (-1 + 0 - 1)*(2*p + p - 5*p) - 8*p + 10*p + 10*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.288 to one decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (1 + -38)) + -10 + -17 + 22?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/9 - 17380*s**2\/9 + 37758050*s\/9 = 0.\nAnswer: 0, 4345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2988333.7 from -0.11.\nAnswer: -2988333.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 - 338*i**4 - 2*i**3 + 1962*i**2 - 2*i?\nAnswer: 60*i**2 - 8112*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.46 - 106.46. Let q = a + 105.22. Round q to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -1662829370492.\nAnswer: -1662829370495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -9. What is the remainder when 110 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -3602051?\nAnswer: -3602050.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5934 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349152092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655 - -0.26.\nAnswer: -654.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123334 (base 8) in base 3?\nAnswer: -2011121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8002 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i. Let k(q) = 11 - 18 + 10 + 3*q - 16*q**2. Let o(f) = -176*f**2 + 32*f + 32. Let p = -3 - 0. Let c(m) = p*o(m) + 32*k(m). Calculate z(c(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35754.568+6774\nAnswer: 42528.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1478 + 0.146. What is x rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4 + 7*l**3 + 9*l**2 - 7*l - 10 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -14 + -21 + 23\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(63)*-3*-4 - sqrt(6300)*-2)\/(sqrt(144)*-2*-4 + sqrt(144) - (sqrt(144) - (1*sqrt(144)*-4 - sqrt(144) - sqrt(144)))).\nAnswer: 9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -0.025+-193.824\nAnswer: -193.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**3 - 64*z**2 + 28*z + 289. Give s(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {k: 1, b: 3, p: 1, w: 3, j: 2, n: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 1)**2 + sqrt(75)*1 + 5 - (6*(sqrt(9)\/sqrt(3) + sqrt(3))**2 + -5 + sqrt(3) + -2 + 4))*4.\nAnswer: -144 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - 2655 - m**2 + 2655 + m. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 502*f + 161. What is t(-167)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*(4 - 76\/18). List the prime factors of ((32\/24)\/r)\/((-6)\/(-1431)).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, -52, -156, -302?\n\"Answer: -21*c**2 + c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, -57, 3, 175, 5.\nAnswer: -57, -5, -1, 0, 3, 5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 555349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103334)\/9394*14*1\/(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 10791945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*r + 1. Suppose -3*w - 18 = -r*w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 2*p - 1. Let z be n(5). Let q(u) = u**2 - 6*u - 18. Is 37 a factor of q(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 1 + -11 + 9. Solve z*l - 22 + 34 = -3*h, 0 = 5*h + 2*l + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n + 1320000. Round n to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 2 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 479*i + 1873. Determine l(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, b: 3}. Give prob of picking 1 c and 1 b.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2dab3 + -2?\nAnswer: 2dab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710, -1111, -1512, -1913, -2314?\nAnswer: -2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 3 = 17. Suppose 0 = w + 4*a, -h*w - a = -w - 9. Suppose w*x - 4*x - 32 = 0. Solve x*l - 2*l = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + 6. Let j = -2 + 2. Suppose j = -t - 0*t + 13. Calculate the remainder when b is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81017972 divided by 826714.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -1.7 (c) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.42963cm in kilometers?\nAnswer: 0.0000542963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1851 * -4.6\nAnswer: -8514.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 12. Let h be w\/28 + 23\/4. What is the highest common divisor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b + 3*q, 0 = 2*b + 4*q - 0*q + 10. Let l be ((-9)\/414)\/(b\/(-2) - 0). Sort -2, 5\/2, l in descending order.\nAnswer: 5\/2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -184.3, 9.37, 2, -0.1 in increasing order.\nAnswer: -184.3, -0.1, 2, 9.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1072061, -2144118, -3216177, -4288244, -5360325, -6432426, -7504553?\n\"Answer: -l**3 + 5*l**2 - 1072065*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:55 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 268?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/7 (b) 0 (c) -1\/5 (d) 407\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-124)\/(-32))\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13655862 divided by -1.\nAnswer: -13655862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-2)\/(-1) - 0) - -2. Let t(w) = -9*w - z*w - 11*w + 29*w + 22. Is t(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 3199284319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 995*h*l**3 - 2484*h*l**2 + 4444*h*l + 10462*h + 11*l**5 wrt l?\nAnswer: 5970*h*l - 4968*h + 220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-12)*4\/6. Put 2\/7, s, 1.9 in descending order.\nAnswer: 1.9, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Let m = d + -2.3. Let v = 89 - 177\/2. Which is the closest to -0.2? (a) m (b) v (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2 + w - 1. Let j(f) = 5*f**3 + 5 - 2*f**3 - 3*f**2 - 2 + 2*f + 1. Let k(n) = j(n) - 2*v(n). Is k(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14555099 is divided by 1434.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 3944.\nAnswer: 3944.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 17.7, -34, -2, 0, -1\/2 in decreasing order.\nAnswer: 17.7, 5\/6, 0, -1\/2, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/3004 or 0?\nAnswer: 15\/3004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-6)\/(-9)*(-153)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:10 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1518 is divided by 517.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17358*n**3 - 101*n**2 + 8*n + 2 wrt n?\nAnswer: 104148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2995 - 6*x + 7*x - 2994. Let v(b) = 8*b + 8. What is -6*t(u) + v(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**2 + 3*u + 4. Give y(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-11)*y*y*y**(-9))\/(y**(-3\/2)*y*y**2) assuming y is positive.\nAnswer: y**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 11. What is the biggest value in -9, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 23322?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 120. Let f = 2318 - 2315. Put f, 2, -1, v in ascending order.\nAnswer: v, -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33*-2)\/(-2) - 2 - -1. Suppose t = 2*z - x, -4*x - 19 = -3*z + 19. What is the remainder when 68 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 15*c**3\/2 - 45245*c**2 - 4961455*c\/2 + 1673925 = 0.\nAnswer: -55, 2\/3, 6087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00175 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -10\/123, -2, -1\/11, 4 in descending order.\nAnswer: 4, 0.5, -10\/123, -1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.8 - -1.8. Let r = 12 + s. Let k = -149\/147 + 17\/49. Which is the closest to k? (a) -2 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f + 4*f**3 + f + 4*f - 7 + 3*f**2 - 3*f**3. What is s(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32956098.16 to the nearest 1000.\nAnswer: -32956000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 0.3306?\nAnswer: -0.046284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92389 and 3146220?\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636084272?\nAnswer: 2, 39755267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (2 - -1)) + (-11 - -14) + 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 485996179*f*m**2 - 367021772*m**2 wrt f.\nAnswer: 485996179*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 25721465*o. Let b(t) = 15*t**2. What is b(i(r))?\nAnswer: 9923906426193375*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -199*q + 192*q + 504. What is the least common multiple of q and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in -1.06, -0.2, 2\/29, -0.5?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20)\/s)**(-9\/5))**(-1\/6) assuming s is positive.\nAnswer: s**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260352734?\nAnswer: 2, 317, 410651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -3*a, -16*l + 12*l = -2*a + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100692, 100716, 100742, 100770, 100800, 100832, 100866?\n\"Answer: l**2 + 21*l + 100670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -195*k**4 - 336312*k**3 - 1208937*k**2 - 1275552*k - 402732 = 0.\nAnswer: -22374\/13, -2, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 2*s - 1. Let d be 1\/3 + 55\/15. Suppose d*a + 3*q - 2 = 0, 0 = -4*a + 2*q - 10 + 2. Calculate n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5405\/8 - 676. Which is the third biggest value? (a) 0.4 (b) r (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08127 - -55.03827. Let a = l - 55. What is a rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10 + 11 - 21 + w. Let n(q) be the second derivative of -5*q**4\/24 - q**2\/2 + q. Let o(r) be the first derivative of n(r). Calculate t(o(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 109 from 104.3.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 58217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqggfgfffg. What is prob of sequence ff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 8. Suppose -t*k - 2 = -0. Sort 1, 0, k.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000128476014 rounded to 6 decimal places?\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141180 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**2 - 1\/5*k**5 + 1\/12*k**6 + 0*k + 1\/3*k**3 - 1\/8*k**4 - 2. Determine y so that v(y) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 21. Let w(g) = -g**3 - 5*g**2 + 7*g + 4. Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10542.\nAnswer: 2, 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 5303 = 6194 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32776 and 5848?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k - k)*(-2*k**2 + 2*k - 2*k) + (3*k**2 + 2*k**2 - 3*k**2)*(-3*k + 2*k + 0*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = o + 6. Which is the biggest value? (a) o (b) -1\/4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m + 2, 4*m = -q + 21. Let o(p) = -p**2 + 12*p - 12. What are the prime factors of o(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/(g\/(g**(-2)\/g))*g**(-1\/9)*g*(g\/(g\/g**1))\/g assuming g is positive.\nAnswer: g**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 17*j**5\/60 - j**4\/8 + 13*j**3\/2 - 29*j**2. Find the second derivative of c(o) wrt o.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -4, 66, 9, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n + 5. Let i be 0\/17 - (0 + 9). Let a(w) = 2*w + 1. Give i*a(d) + 2*j(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180) + sqrt(180) + 2 + sqrt(180)*4*-1)**2 + (0 + sqrt(180) + sqrt(180) + 5*(sqrt(180) + -1 - sqrt(180)) + 3)**2 + -4.\nAnswer: -192*sqrt(5) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, 1 z, and 1 m when four letters picked without replacement from zdmomozdhpmodozod.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/48)\/((-1)\/(-15)). Suppose -2*d - g*f + 7990 = -0*f, -3*f = 5*d - 19937. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + (-14)\/(-40). Let s be 16\/64 + (35\/20 - (-1 + 2)). Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h - 4 = 5*r - 7 - 55, 2*h - 2 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9997000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6487450 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - (-5 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let x(r) = 119*r**2. Give x(b(m)).\nAnswer: 1071*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 13 - 10 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxy when three letters picked without replacement from yriiiivyixry.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + k = 48, 2*k + 48 = 2*q + 8. Suppose -q*x + 15*x = -28. What is the greatest common factor of 364 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**5 - 42*y**4 + 47*y**3 + y - 1. Let t(d) = d**5 + 2*d**4 + d**3 + d - 1. Let k(m) = -2*r(m) + 2*t(m). Factor k(l).\nAnswer: 4*l**3*(l - 1)*(l + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 43a62?\nAnswer: 43a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 43*g - 141 + 1141 = 0. Solve 0 = g*w - 83 - 37 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -3*z + 5*a, 28014*a - 28017*a - 63 = -2*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43153234 rounded to two dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 - (-9 + -5 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 1 + 1 + (2 + x + 2 - 2)*(-2*x + x + 3*x + (-3 + 2 + 2)*(20*x + 27 - 27)) as s*x + p + z*x**2 and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piv when three letters picked without replacement from {m: 1, p: 1, w: 1, v: 2, y: 1, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 187 + 901. Calculate the greatest common divisor of 408 and q.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e0 + -7?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Let i be -3 + 1 + o - -9. Suppose 0 = -4*x + d + 41, x + 4*d = -2*x + i. Calculate the remainder when 25 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-1)\/3. Suppose d = 2*r + 6*r - 16. Solve -3 + r = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6795*b*g*q**3 - 1405*g*q**3 wrt b.\nAnswer: -6795*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -55. Let o(n) be the second derivative of 3*n + 1\/2*n**3 + 0*n**5 + 0*n**2 + 0*n**p + 1\/10*n**6 + 0. Find the second derivative of o(k) wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2104 - 14727\/7. What is the third smallest value in -1, 0.05, p, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 900 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 75*q + 56 = 155*q - 79*q, -3*q + 8*q = -3*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -127, -294, -553, -928?\n\"Answer: -4*i**3 - 10*i**2 - 41*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*n - 750. Suppose 0*k - 5*k + n = 0. Suppose 0 = m + 5*v + k, 5*v + 40 = 2*m + 140. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3562*a + 394305 = -15325 for a.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 42*a**2\/5 + 8*a.\nAnswer: 2*a*(a + 1)*(a + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 337 - 333. Let t be (42\/(-39) - -1)*x\/(-10). What is the biggest value in -3\/7, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1751005?\nAnswer: 5, 61, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 98284, 5 in increasing order.\nAnswer: -10, 0, 5, 98284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001110100011 (base 2) in base 3?\nAnswer: -110111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121371 is divided by 120189.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2 = -2*c - 2*a, 2*a = 4. Let i = 36 - c. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4576406 is divided by 2661?\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2517 and 143745.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 17792561. Let p(n) = n**2. Calculate h(p(t)).\nAnswer: 5*t**2 + 17792561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6484, 6462, 6420, 6358, 6276, 6174?\nAnswer: 6052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 899 divided by 6\nAnswer: 899\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-16 - -30) + -18) - -4 - 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 1797*y - 12635. What is b(7)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219437, -1755393, -5924409, -14043011, -27427725, -47395077, -75261593, -112343799?\nAnswer: -159958221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 41109870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/240 and -37\/528?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0 - 1 - 12*z**3 + 0 + 2*z**2. Let m = -46 - -47. Determine t(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3*sqrt(288) - sqrt(18))*-1)\/(5*((sqrt(9) - (sqrt(9) - sqrt(27)\/(sqrt(3)*-2))) + sqrt(9))).\nAnswer: -22*sqrt(2)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24651 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.003*4130.\nAnswer: 12.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + o. Let h(x) = 7*x**2 + 3*x + 3. Let g(t) = 5*a(t) - h(t). Let c(r) = -5*r**2 + 5*r - 7. Give -4*c(n) + 9*g(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7066665*h**2 + 2*h - 9. Let k be i(-3). What is k rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147378 and 12306.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14040 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 7:37 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4609.036 + -4627. Let z = 5 - 23. Let a = z - w. What is a rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.03 (b) -0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-140)\/(-2)*(35\/(-10))\/(-7). Solve 4*o + 5*m + p = -o, 2*o + 2 = m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1360 + 1376. Solve -11*l = -7*l - c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.65 + -1.70728532?\nAnswer: -18.35728532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 31409122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and 24791364120134.\nAnswer: 24791364120134.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 + -1*2 - (-2)\/1. Let f(v) = -29*v - k*v - 2 - 30*v + 23*v. Let b(s) = s**2. Calculate f(b(x)).\nAnswer: -56*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -16. Let g = 19 + f. Suppose r = 6*r - g. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 h when four letters picked without replacement from {n: 7, u: 3, h: 4}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -230, -25967, 0 in descending order.\nAnswer: 2, 0, -230, -25967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -9. Let d be 9\/(-2)*140\/(-45). Put q, 4, d in decreasing order.\nAnswer: d, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.103?\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34902 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6005126 - -116?\nAnswer: -6005010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 127*m**3 - 3*m**2 + 132*m**3 - 250*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 118635851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Divide 355765365 by -339795.\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34345946633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1) + (-9)\/12. Let d = -2.9 - -3. Let v = 10 - 9. Which is the nearest to v? (a) x (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 8*f**2 - 7*f + 2. Let y be k(-7). Let r(o) = -y*o**2 + 3 + 0*o**2 - 3. Let t(g) = g**2. Calculate r(t(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2. Let l be u(5). Solve 3*x - l*f = 26 + 1, -2*x + 33 = -5*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3 + 7 - 9 + h. Suppose 28 = -5*i + 3*q, 3*q + 12 = -6*i + 3*i. Give z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238 - -288.5. What is k rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*v - 5*v + 3*v - 8 = -0*b + v, 0 = -25*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*c*i**2*q - 13*c*i**2 - 263*c*i - 2*c*q - i**2*q - 2 wrt i?\nAnswer: 40*c*q - 26*c - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4, -2, -10 in decreasing order.\nAnswer: 4, 1, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 2*k**2 + 26*k - 10. Let b be x(6). Let v be 9*(0 - 0 - 2). Let l be (-2)\/9 + (-4)\/v. Solve t - b*t = l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 43 = 2*q + 199, 0 = -n + 3. Suppose -4*d - 4*l = -6*l - 338, 427 = 5*d - 4*l. Let r = q + d. Solve -r*b = -5*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 924 + -5?\nAnswer: 91a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j - 2*m - 14, 5*m + 29 = 3*j. Suppose 1845 = -j*v - 3*x, -v + 214 - 829 = -4*x. What is the remainder when 47 is divided by v\/(-45) - 4\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, -296, -672, -1200, -1880, -2712, -3696?\n\"Answer: -76*s**2 + 4*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 870048 divided by 36252\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s - 6 - 50 = 50 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44643836 to the power of 1\/3, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus -2.2?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 7, -1219, -5, -590, 1 in decreasing order.\nAnswer: 7, 1, 0, -1, -5, -590, -1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221133 - -302?\nAnswer: -1220231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121658 + 121632. Suppose 4*j + 10 = 6*j. What is the third biggest value in j, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*(-9)\/27\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -9. Suppose x = 10*s - 9*s. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.86312l in millilitres?\nAnswer: 51863.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1570459*m**2 + 631595*m + 2.\nAnswer: -3140918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322 and 476?\nAnswer: 10948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - u = -1, z + 3649*u + 23 = 3654*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 + 855\/8. Let i = -2 - -3. Let q = -0.1 - -0.6. What is the nearest to i in n, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23436 and 607786.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 239, 598, 963, 1340, 1735, 2154?\n\"Answer: h**3 - 3*h**2 + 361*h - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 149. Let q(t) = 4*t**2. What is q(l(j))?\nAnswer: 4*j**2 + 1192*j + 88804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4532062672?\nAnswer: 2, 149, 1901033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**5*o + 2*g**3*o - g**2*o wrt g.\nAnswer: 600*g**2*o + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83b - -1?\nAnswer: -83a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41214 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-19 + 30 - 8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 5:55 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 18. Suppose -d*u - 316 = -1240. What are the prime factors of u?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4 (c) -48 (d) 36493\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from ceseqsqqsqqosmqs?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31679.15 milligrams?\nAnswer: 0.03167915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**4\/4 - 3*p**2 - 27*p - 95. Find the first derivative of a(m) wrt m.\nAnswer: -3*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 8*h)*(-3*h**2 + 4*h**2 - 2*h**2) + (4 - 4 + h)*(-40*h**2 + 101*h**2 - 46*h**2).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-5\/4))\/r)**47\/(r\/r**(-1\/8))**(-20) assuming r is positive.\nAnswer: r**(325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*y + 42, -48 = -5*z + 2*y + 34. Let j = -6 + 8. Let b be 6\/(-5)*(-15)\/j. Calculate the greatest common factor of b and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -645 + 1?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -157, -239, -345, -481, -653, -867?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16884 and 13690992?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2*o**2 - 3*o + 3. Let v(m) be the third derivative of m**5\/60 - m**3\/6 - 13*m**2. Let g(s) = -c(s) - 2*v(s). Give g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/51300*-57*(-4)\/1*-3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/((-77)\/(-7))*(-18)\/24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.152 plus 0.01?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6653 = 2*o, 4*b - 778 + 7436 = 2*o. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/144*3)\/((-54)\/(-972)*(-9)\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 22. Let j be (m - (-38)\/12)\/(-1). Let s be 6\/20 - 33\/(-90). Which is the third smallest value? (a) -1 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*g + 27, 4*g - 6*y + y = 32. Let z = g - -10. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-2 - (-9 - -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -676 + 4?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3138338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/100*-30*5\/(-3)*2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/19 (b) 0.3 (c) -16159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9751770 divided by -315.\nAnswer: -30958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 3:56 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 133699056 a multiple of 2721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*y - 29974*g**3 + 14*g**2*y + g**2 - 7*g*y - 42*y - 6 with respect to y.\nAnswer: g**3 + 14*g**2 - 7*g - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1))**(4\/17)\/(o**(1\/3)*o**(-1\/3))*(o\/(o*o**(1\/4)))\/(o**(-6)\/o)*o*(o\/o**(-1\/9)*o*o)\/o*o**(3\/8) assuming o is positive.\nAnswer: o**(13105\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*9\/72)\/((-27)\/1242).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/(f\/(f\/f**(-1\/7)))*f))**(-20) assuming f is positive.\nAnswer: f**(440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 1, f: 3}. Give prob of picking 1 f and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 16 = -3*s, -4*s + 7*f - 11*f = -28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6120\/(-272))\/((-126)\/7).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 2, p: 1, q: 1, f: 1, w: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.3171 minutes in hours?\nAnswer: 13.705285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000200328 rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -343, -1325, -2965, -5269, -8243?\n\"Answer: -l**3 - 323*l**2 - 6*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i. Let u be q(-1). Let m = u + 20. Suppose 0 = -10*l + m*l - 44. Which is greater: -13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -11. Let n(d) = -2*d**3 - 2*d**2 + d - 1. Let k be n(f). Suppose -2308 - 117 = -k*s - 2*l, 4*l = 2*s - 970. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -16. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -226509602, -453019205, -679528808?\n\"Answer: -226509603*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110418903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and 67.\nAnswer: -2278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -20, -30, -44, -62, -84?\n\"Answer: -2*w**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5322850 and 392210.\nAnswer: 37259950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:44 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(490) - (1*sqrt(490) + sqrt(490)))*2 - 6*(sqrt(490) + (sqrt(490) - sqrt(490)*-1) + sqrt(490)))\/((6*1*sqrt(50))\/(5*(sqrt(160) + sqrt(10)))))**2.\nAnswer: 10351250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -3. Let f = t - 3. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/3 or 102\/5?\nAnswer: 102\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54198 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 526 in decreasing order.\nAnswer: 526, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 17 + -31 + 52 - (14 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1382 - -620. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1618, 1628, 1654, 1702, 1778, 1888?\nAnswer: 2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3776663?\nAnswer: 11, 343333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 1550128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 36 = -7*g. Suppose 6*m - 71 + 41 = 0. Suppose -3*r = r - 2*q - 36, r - m*q = g. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 + 38 = 13*l. Let n = -15 - -40. What is the highest common factor of n and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1272449272 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 402623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/5 - 7*h**3\/5 - 17*h**2\/5 + 2*h.\nAnswer: h*(h - 5)*(h + 2)*(2*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1397 - 1397. Let j(v) be the third derivative of 17*v**2 + 0*v**3 + 11\/12*v**4 + 0*v - 4\/15*v**5 + s. Find the second derivative of j(m) wrt m.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**4 - 107982*i**3 + 364365012*i**2 + 91098002*i.\nAnswer: 2*i*(i - 6749)**2*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/53)*u)\/(u\/((u\/u**(14\/5))\/u)))\/(u*u*u\/u**(-2\/3))**(-6\/5) assuming u is positive.\nAnswer: u**(434\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:48 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -14 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 71, 161, 339, 635, 1079?\n\"Answer: 5*h**3 - h**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, j: 5, y: 6, s: 5, o: 1}. Give prob of picking 1 o, 1 y, and 1 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = -10. Solve 4*o**4 - 44*o - 16 - 28*o**2 - 4*o**3 + o**g - 9*o**2 = 0 for o.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 1. Let a be o(4). Suppose -a*m + 8 = 23. Is -6 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92726085 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Divide -13591 by 273.\nAnswer: -13591\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 17*h**2 + 17*h + 13. Determine y(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -544 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -32*z**3 - 552*z**2 - 1454*z + 29. Give o(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(9\/5)*s)\/((s\/(s\/(((s**(3\/4)*s*s)\/s)\/s)))\/s) assuming s is positive.\nAnswer: s**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602580?\nAnswer: 2, 5, 7, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from maa?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*f**2 + 171*f**2 + 2 - 2*f + 0*f + 244*f**2 + 2*f**3 to the form r*f**3 + n + c*f + x*f**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001514 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = r - 5*r. Let g = -13 + r. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/26 and -73\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 776435801 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/8 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34958 and 16423?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 0, -2*u + 35 = -0*v + 5*v. Let z(b) = -b**2 + 8*b - 8. Let j be z(7). What are the prime factors of (-6)\/(-9)*u + j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - 1)\/(9\/(-6)). Suppose q - n = -q. Differentiate -2*m**q - 6 + 3*m - 3*m + 0*m with respect to m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*a - 31*a - 38 - 4 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 (base 8) in base 11?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-4 - -1 - -5). Which is the nearest to q? (a) -1\/3 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 761\/8 + -95. Let y be (-1)\/4 - (-3)\/12. Let k = -92\/405 + 2\/405. Which is the closest to y? (a) k (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 955384 and 955382 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3014*u**3 + 3583*u - 15. Let k(a) = 3009*a**3 - 3585*a + 18. Let t(z) = 5*k(z) + 6*p(z). Find the second derivative of t(v) wrt v.\nAnswer: -18234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -458053078*z + 369228047?\nAnswer: -458053078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 298569, -7 in decreasing order.\nAnswer: 298569, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -9*r + 30. Suppose -f - r + f**3 - 1 + 1746*f**2 - 1743*f**2 = 0. Calculate f.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23830, -48686, -73544, -98404, -123266, -148130?\nAnswer: -172996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 2. Let w be c(4). List the prime factors of w + (-1)\/(-1) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g + 2. Suppose -16 + 1 = -3*r. Suppose -4 = 5*n - 4*w, -n - 4*w + r = 1. Let s be j(n). Solve -4*i + 1 = m, 4*i = -3*m + s + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -2 - (4 - 3)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 77, 111, 143?\n\"Answer: -j**2 + 39*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20512 and 17948.\nAnswer: 143584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 5296?\nAnswer: 15888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g**6 - 7\/2*g**3 - 49*g**2 - 23\/70*g**7 + 0*g**4 + 3*g + 0 + 0*g**5. Find the first derivative of y(n) wrt n.\nAnswer: -276*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/((r**(1\/4)\/r*r)\/r)*r*r*r**(-9\/5)*r**(-3\/5)\/(r*r**(-16)) assuming r is positive.\nAnswer: r**(347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 12*z = -q, -4*q + 5*z = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 42 + 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -228*h. Let n be b(-1). Let y be 16\/5*(-13 + 804\/48). What is the highest common divisor of n and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 378.2 + -378.196014. Let w = s - 0.004. Round w to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let s be (-5)\/(-4) + 9\/12. Let i(k) be the second derivative of 0 + 0*k**2 + 0*k**3 + s*k + 1\/12*k**4. What is i(q(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(-39)*(((x*(x*x**(1\/3))\/x)\/x*x)\/x)**(-10\/13) assuming x is positive.\nAnswer: x**(-3092\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11.1745 and -6.1.\nAnswer: 5.0745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 100\nAnswer: 31\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4)\/o)\/o**(-3\/4))\/((o*o*o*o\/(o\/(o\/o**(-14))))\/(((o\/(o*o*o\/(o**(-8)\/o)))\/o)\/o)) assuming o is positive.\nAnswer: o**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1679 - -1693. Solve -16 = -18*u + f*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5942*m**3 + 3536*m wrt m?\nAnswer: -35652*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 10*w**2 - 6*w + 75. Give u(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - 1 - (231 - 229)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m*x**3 + 131783*m*x**2 + 8*m*x + 27*m - 47*x + 1 wrt x.\nAnswer: 30*m*x + 263566*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111010 - 20200?\nAnswer: 11020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3677*p**3 - 34*p**2 - 34*p + 40. Let b(t) = 459*t**3 - 4*t**2 - 4*t + 5. Calculate 17*b(a) - 2*y(a).\nAnswer: 449*a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 10 = -6*p. Suppose 4*o + 1 = p. Let f = -0.76 + 0.26. Which is the biggest value? (a) 2\/9 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4\/7 - 1052*a**3\/7 - 4240*a**2\/7 = 0.\nAnswer: -4, 0, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2857499970 divided by 6.\nAnswer: 476249995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -1\/3 (b) -0.2 (c) 1 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -90 + -155?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 2.2. Suppose o - 4*o - 13 = 4*v, 24 = -5*v + 4*o. Let j be -3*((-52)\/(-12) + v). Which is the nearest to 0.2? (a) f (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -1)**2 + -2 + sqrt(144)\/sqrt(3) + 0.\nAnswer: -4*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 9*v**2 + 28*v - 12. Let f be q(9). What is the greatest common factor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d**2 - d - 1. Let o(z) = -3*z**3 - 2*z**2 - 2*z - 2. Let x = -592 + 590. Calculate x*q(b) + o(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let l(u) be the third derivative of 767*u**4\/8 + 245*u**2 - 2*u. What is z(l(t))?\nAnswer: 4602*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5))**(1\/5) assuming w is positive.\nAnswer: w**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/36 + 85*h**3\/18 - 44*h**2 - 393*h. Factor v(r).\nAnswer: (r - 3)*(r + 88)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + -4 + 3 + 34. Suppose -5*i + 11 + 9 = 0. Suppose 0 = y - i - n. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6160 + -6164. What is the third smallest value in -0.4, -0.89, d, 3, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689 is divided by 118?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -116 (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 - -894) + 0 + 4?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g - 7*g + 88*g**2 + 3 - 8*g**3 - 91*g**2 to r*g + w*g**3 + i + l*g**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -6cb9e?\nAnswer: 6cb99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -3, -3*d + 4*j + 27 = 0. Let s = 6380 + -6369. Solve -5*w - 3*z - d = z, 2*z = w + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 14 = 30. Suppose -w + 1 = t, 2*g + 2*t = 58. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1072*h**2*y - 8*h**2*z**2 - 10*h**2*z - 3*h**2 + h*y*z**2 - 2*h*z**2 - 10*y*z**2 - 2*z**2 wrt y?\nAnswer: 1072*h**2 + h*z**2 - 10*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in -1, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119590*l**3 - 2*l**2 + 157*l - 48 wrt l.\nAnswer: 717540*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 31*p - 227. What are the prime factors of g(10)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 2 + q + 0 + 2*q - 3*q + 0*q + (-1 + 7 - 3)*(6 - 6 + 2*q) + 3*q - 3*q - 2*q in the form r*q + f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-11 - (-6)\/12*-4). Let z be 207 - (4 - 3)*-1. What is the greatest common factor of u and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6 and 59\/163866?\nAnswer: 163866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**4\/4 + 11*w**3\/3 - 15*w**2 - 15*w + 3396. Give p(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1944640 times -0.1\nAnswer: 194464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1032160*l**3 + 1026208 with respect to l.\nAnswer: -3096480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48589?\nAnswer: 48589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29488 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/(3\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 2*y + y + 3*y + (y + 3*y - y)*(11*y + y - 5*y).\nAnswer: 20*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*k = 2827, 36*z = 31*z + k - 2837. Let o = -398 - z. Calculate the highest common factor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16517245 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78257 times 1?\nAnswer: 0.78257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(4860))\/(sqrt(588) - (sqrt(588)*1 + sqrt(588))))**2.\nAnswer: 36*sqrt(5)\/7 + 601\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -1)*10\/(-4). Let l = -19 + 14. Let i = l - -5. Sort 1, p, i in ascending order.\nAnswer: p, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(2*sqrt(75))*-3 - (0 + -2 + -1*sqrt(11))**2*-6.\nAnswer: 237*sqrt(11)\/10 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 11*o**2 + 3*o + 7. What are the prime factors of y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15156 (base 7) to base 8.\nAnswer: -10156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -260688 (base 12) to base 2\nAnswer: -10011000000111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 368 + 116. Let z = u - 16. Find s, given that 33*s - 31 + 14 + 15*s**z + 10 + 13 = 0.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*l**3*w + 62*l**3*y + 2*l*w*y**2 + 2*l*y**2 - w wrt w.\nAnswer: 13*l**3 + 2*l*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t*t*t*t**(-9))**23)**(-6) assuming t is positive.\nAnswer: t**1242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.30697 to one dp.\nAnswer: -147.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))**(1\/12))**(2\/53) assuming p is positive.\nAnswer: p**(1\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(960)\/sqrt(12) - sqrt(15)\/sqrt(12)*-5.\nAnswer: 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7584*c - 277518 = 200274 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9017\/17004?\nAnswer: 9017\/17004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v - 22*v - 90. Let t be (v\/9)\/(-3 - (-834)\/279). Round t to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwuzuwww. What is prob of sequence bw?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -133 + 93 + (-13 - -101)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1123 and 84819067.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*s + s + 3 = 0, -5*s - 5 = -2*q. Suppose -5*m + 306 = -q*t + 2*t, 4*m - 225 = 5*t. What is the units digit of (m\/(-25))\/((-3)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 180388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000217771 rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25222742?\nAnswer: 2, 1493, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -832978905 rounded to the nearest 100000?\nAnswer: -833000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**2 + 4. Let f(d) = 168*d**2 - 98. Let n(t) = -2*f(t) - 49*h(t). Let z(c) = 21*c. What is z(n(v))?\nAnswer: 147*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*w**3 + 749*w**3 - 54*w**3 + 731*w**3.\nAnswer: 1194*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 + 27*g**2 - 12*g - 108 = 0.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 2238*a**3 + 477 - 477 - 5*a**2 - 2256*a**3.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -399137\/1540 + 9078\/35. Let d = -1\/44 - v. Is 0 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 - 16*h**4 - 5*h**2 - 11 wrt h?\nAnswer: -120*h**2 - 384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 13. Calculate u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(1 - 4) - -2. Let s = 3 - -65. Let d(n) = n**3 - 194*n + 62*n + 65*n + s*n. Give d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4024 + 4028. Let n(t) be the first derivative of -1\/7*t**2 + 1 - 4\/21*t**3 - 1\/14*t**b + 0*t. Factor n(r).\nAnswer: -2*r*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1621*m + 74045 + 65463 - 30901 for m.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23 - b**2 - 39*b - 6 + 8. Calculate the remainder when 46 is divided by l(-38).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.192196451 to 4 dps.\nAnswer: -1.1922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 1\/2, -2, 1049?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 11*k**2 - 26*k + 18. What is l(7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 11437000*a**2 - 22874012*a - 11437008.\nAnswer: 4*(a - 2859252)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11534, 2\/9, 1 in increasing order.\nAnswer: 3\/11534, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/13)\/((((w\/(w**(2\/17)\/w*w*w*w)*w)\/w)\/w*w)\/w) assuming w is positive.\nAnswer: w**(434\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*p - 167 = 548 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4902846ml to litres.\nAnswer: 0.0004902846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 9 = 7*w. Let s be (-2)\/(-7) + (-4)\/(-84). Sort 2, s, w.\nAnswer: w, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1 (b) 5 (c) 30\/277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 890, 3453, 7686, 13589, 21162, 30405?\n\"Answer: 835*q**2 + 58*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*o + 2*r + 11, 0 = -5*o - 5*r - 35 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41611.2 millennia to decades.\nAnswer: 4161120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*x + 184 = 1368. Solve 13*h + x = 21*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.428*-2\nAnswer: -36.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/7 + 423081*r**3\/7 - 181323*r**2 + 1269267*r\/7 - 423090\/7.\nAnswer: 3*(r - 1)**3*(r + 141030)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 13*n**2 + 18*n + 59. Calculate the lowest common multiple of 2576 and z(-5).\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*p + 7*p - 63*p - 31140 = 93*p for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyf when four letters picked without replacement from {y: 3, f: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -9*l + 74. Suppose r + 3*m = 1 - 9, -2*m = r + 4. Suppose 0*q - q = -r. Is q != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*m = 20*m + 528*m - 182*m - 23875 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -54030212?\nAnswer: -1\/54030212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75663170 rounded to the nearest one million?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (0 + -10)) + 2\/(-1). Suppose r*v - 6*v = 0. What is the units digit of 4 + 50 + 4 + v\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447422, -894836, -1342248, -1789658, -2237066, -2684472, -3131876?\nAnswer: -3579278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 17*x**2 + 114*x - 2086. Determine k(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**6\/15 - 251*r**5\/20 + 1745*r**2\/2 + 1416*r. What is the derivative of i(y) wrt y?\nAnswer: 8*y**3 - 753*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2\/(-3))*-36. Calculate the remainder when i\/16*(-16)\/(-3) is divided by (16\/(-26))\/4 - (-123)\/39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -350093, -350068, -350043, -350018?\n\"Answer: 25*r - 350118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2)\/(-6) + 1. Solve s = -5*g - 5, -5*i = 3*g - 0 + 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 285565 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77467307, 154934617, 232401929, 309869243?\n\"Answer: b**2 + 77467307*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 45366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -105683.\nAnswer: 5\/105683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 38, -2 in decreasing order.\nAnswer: 38, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(93\/(-6)) - 39\/(-24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let t = 0.06 + h. Let w = -0.44 - t. What is the third smallest value in -2, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31600394, 63200781, 94801170, 126401561, 158001954, 189602349, 221202746?\n\"Answer: i**2 + 31600384*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llly when four letters picked without replacement from kmllmly?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f + 20. Let k be l(-8). Suppose -8*t + t = -k. Suppose 0 = -i - 2*h + 2 + 22, 2*h - 72 = -3*i. Calculate the greatest common factor of t and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1371 - -856. What are the prime factors of a?\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/300 - r**5\/10 - 14*r**4\/5 - 368*r**3\/15 + 231*r**2 - 4*r. Factor w(g).\nAnswer: 2*(g - 23)*(g + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -585*y**4 + 2378*y wrt y?\nAnswer: -7020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/3 + 1148*r\/3 - 164738\/3 = 0 for r.\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*l**4 + 128900*c*l**3 - c*l**2 - 2*c + l**4 + 15*l**3 + 2*l**2 + 15317*l - 4 wrt l?\nAnswer: 24*c*l + 773400*c + 24*l + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1985 - 793 = -6*x. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141485816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = -0*l + l, -2*l = 4*m + 20. Let u be 6 - (-2 + 0 + 0). Suppose u*o - 8936 + 3328 = l. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26611756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10275257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 109200000 rounded to the nearest 1000000?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8) + (sqrt(80)\/(-2*sqrt(10)) - sqrt(8))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1503 - 5666?\nAnswer: -4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -229*u + 5810070. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27768 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 19*v**2 + v - 7. Let n be c(19). Suppose -15*g = -w - n*g + 375, -2*w + g = -725. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -16. Let j(g) = -4*g + 0*g + y*g. Let s(o) = 10*o - 1. Let w(m) = -5*j(m) + s(m). What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134, 557, 1566, 3455, 6518, 11049, 17342, 25691?\n\"Answer: 49*o**3 - o**2 + 83*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 5*v**2 - 2*v + 4. Let n be a(6). Suppose 16*y - 12*y - n = 0. List the prime factors of y.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffp when three letters picked without replacement from {k: 2, d: 1, f: 7, p: 2, h: 6}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85.99999392 - -86. What is y rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**2 - 637*i - 242466. What is k(261)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 400912.\nAnswer: 6013680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*2\/4)\/(10\/40). What is the second smallest value in a, -0.3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (10 + (-10 - -11 - -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2115*l**3*s**2 - 2*l**3 - 3*l**2*s**4 - 2*l**2*s + 312*l*s wrt s.\nAnswer: -4230*l**3 - 36*l**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 6. Let x be z*7 - (-1 - -2). Let n be (-5)\/((-15)\/x) + 3. Solve 4*o + n*g = 29, 4*o + g + 3*g - 24 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -97*h**3 - 2*h**2 - 2*h - 1. What is the tens digit of a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5949947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.91 + -95.11. Let y = -26.8 + m. Let s = y + 118.00025. What is s rounded to 5 decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1018 + -1018. Solve 11*a - 19 - 14 = b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11653\/84 - -543\/28. Let j = -118 - q. Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0*l + 2*l + 4*l**2 + 22*l**3 - 14*l**2. Let g = -128 - -20. Let r = 113 + g. Let o(v) = 9*v**3 - 4*v**2 + v. Calculate r*i(c) - 12*o(c).\nAnswer: 2*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 160896 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.81 - -15625012460\nAnswer: 15625012459.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146379 + 146383. Determine k so that 0 - 2\/5*k**x + 64\/5*k + 0*k**2 - 12\/5*k**3 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1004*-49\nAnswer: -49196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -19*m - 1. Let y(u) = 57*u + 2. Suppose 120 = -60*w + 2*w - 54. Calculate w*y(f) - 8*s(f).\nAnswer: -19*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.036623 millilitres in litres?\nAnswer: 0.002036623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*l - 5*z + 33, 23 = -4*l + 3*z. Let f be (-400)\/l*3\/6. What is the greatest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 744021616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 35*j - 25. Determine g(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 c when three letters picked without replacement from npchthhpcqchcctqtct.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 + 0*a**2 + 3*a**2 - 2*a**2 + 0*a**2 - a. Let z be u(0). Let b be (6 - 66)*(z + 0). What is b rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 658, 2685, 6074, 10831, 16962, 24473, 33370, 43659?\nAnswer: 55346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/33 and -41\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-962)\/80808)\/(1\/(-9)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l + 1. Suppose 5*g - 10 = -l*b - 4, -5*g - 10 = -5*b. Differentiate -b + 5 + 3*y**4 - 5 with respect to y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160*2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) 3 (b) -14\/859 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*x = -7, 14 = 5*w - 3*x - 23. Let j(s) = -5*s + 2. Let p(u) = 8*u + 2 - 4 - 2*u. What is w*j(c) + 4*p(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17949000 rounded to the nearest one hundred thousand?\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/270 and 139\/24138.\nAnswer: 120690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-44)\/4))\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 2. What is the units digit of b + 1 + 43 + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -24*b**3 - b**2 - 3*b - 1. Let j be c(-1). Suppose -5*n + j = 20. Sort n, -2\/33, -5 in ascending order.\nAnswer: -5, -2\/33, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -75. Suppose 4*n - o = n. What is the closest to 3 in n, -1, -3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000991 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w - 1. Let d(q) = 12*q**3 + 5*q**2 - 3*q - 3. What is d(i) - 2*j(i)?\nAnswer: 12*i**3 + 3*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - -4) + 349\/(-72) and ((1818\/8)\/9)\/((-6)\/4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1395 - 1392. Let g(m) be the second derivative of 0*m**2 + m + 11\/12*m**4 - 11\/20*m**5 + 0 + 0*m**j. Find the third derivative of g(v) wrt v.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.403 + 5.4020986. What is k rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 461521 in decreasing order.\nAnswer: 461521, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*x**3 - 68*x**3 + 214*x**3 - 69*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -451116 (base 7) to base 11\nAnswer: -54919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) - (-96)\/(-15). Let j be -1*8\/n*3. Let b(o) = -o**2 + 5*o - 2. What is the units digit of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 1\/4, -0.2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 81732603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(78) - (sqrt(78) - sqrt(78)*2)*-5 - (3*1*sqrt(78) - sqrt(78)))\/(sqrt(60)\/(sqrt(360)*-2))*-4.\nAnswer: -288*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -77a7bc (base 14) to base 16\nAnswer: -3dfdc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from kkokboooboooobpyok?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 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: Calculate the remainder when 1773111 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 1 - 27*w**4 - 129*w**2 + 87*w**4 + 129*w**2 in the form k*w**2 + i*w + y + a*w**4 + b*w**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 377168 and 171440?\nAnswer: 1885840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -477\/4 + 120. Let h = 2\/3 - 8\/9. Let x = 5.6 + -6. What is the closest to 1 in k, x, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11095 = 18*w - 7787. List the prime factors of w.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855 = -9444*a + 9489*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10 and -23\/10801.\nAnswer: 108010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12*o + 8*o = 936, c + o = 232. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132736, -132741, -132748, -132757, -132768?\n\"Answer: -a**2 - 2*a - 132733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 14210?\nAnswer: -14210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Suppose 2*y = x + 5. Calculate the lowest common multiple of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2 + 1)\/((-7)\/(-6)). Which is the biggest value? (a) -2\/7 (b) x (c) 9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 107 = -87. Suppose 7*k - 5*m = 8*k + 40, 3*k = 5*m - 40. Does k = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26209 >= 26213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {n: 2, b: 3, d: 2, t: 2, g: 2, a: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 - 6*v**3 + 19*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.9 + 26.1. Let w = 29.7 - x. Is 0.1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16551 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 o when four letters picked without replacement from {a: 3, o: 6, d: 1, q: 1, w: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 416*l**3 + 3*l**2 - 36*l + 6. What is the hundreds digit of n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from eeek.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*z + 211 - 1041, z + 5 = 0. Suppose 4*d + 8*a - 146 = 3*a, t = 5*d - a. Calculate the highest common divisor of 51 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (2 + -2)) + 27. Let o = -6 + c. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 20*l**2 - 184*l + 14. Calculate i(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2382, 21161, 72090, 171243, 334694, 578517?\nAnswer: 918786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 98.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 15, 0, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -5\/2*v**2 - 9*v + 13 - 1\/2*v**4 + 0*v**3. Differentiate a(n) with respect to n.\nAnswer: -6*n**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1383571, 1383547, 1383521, 1383493, 1383463, 1383431, 1383397?\nAnswer: 1383361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.564 - -0.5. Let f = 0.474 + q. Let v = f - -0.09. Round v to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3887 or -4238?\nAnswer: -3887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159723 + 6521?\nAnswer: 166244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3870 - -17851. List the prime factors of x.\nAnswer: 11, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 43*v**2 - 25*v - 35. Let i be t(-41). What is the highest common factor of i and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98557304 is divided by 385.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 18 + 18)*(-3*n - 5*n + 3*n).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1034*m**2 - m - 2128*m**2 + 0*m + 1031*m**2 to t*m + h*m**2 + u and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 - 364. Let b = p - -220. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/156 and 29\/15.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5 + 190*d**4 - 204*d**3 - 2482*d**2 + 203*d + 2292 = 0. What is d?\nAnswer: -191, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 402032731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -0.5 (c) 2 (d) 47.1 (e) 841\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 59 = v, 0*v + 181 = 3*v + 4*w. Is 30 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 + 5 - 5 + (-7*v**3 + 2*v**3 + 3*v**3)*(2*v + 8*v + 10*v) as q*v**2 + u*v + d*v**4 + h*v**3 + y and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7733 + 7736. Let z = -1\/22 + -107\/66. Let r = -5 - -4.5. Sort z, -3\/2, r, w in ascending order.\nAnswer: z, -3\/2, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, -43\/3, 2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-30)*2\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24640 = 56*p - 34*p. Suppose -10*k = -2*k - p. Is k > 141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -580*j + 587*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -366977, -733956, -1100935?\n\"Answer: -366979*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 3*n**3 + 26*n**4 - 1 - 37*n**2 + n - 17*n**4 + n as x*n**2 + y*n + z + l*n**3 + c*n**4 and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1302321113101 + -11?\nAnswer: 1302321113030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130580 - 5?\nAnswer: 130574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -159. Suppose 5*l = -t + o, 0*t = -3*t - 3*l + 198. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/60 + (-2)\/(-5). Suppose -3*f - 5*g = -u*f + 29, -2*f - 13 = g. What is the closest to -1\/2 in -5, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1963857, 1963877, 1963905, 1963941, 1963985?\nAnswer: 1964037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c + 24776 = -56*c + 501*c - 9742 for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x = -12*x - 297 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-27)*72\/(-30). Which is the closest to -0.2? (a) -7 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l\/(l**(3\/7)*l))\/l)\/(l*l*l\/(l\/(l\/((l\/(l*l**38))\/l)))) assuming l is positive.\nAnswer: l**(-290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**4*r + 179*n**3*r**2 - 12*n**3*r + 49*n**2*r**2 + n**2*r - n**2 + 26 wrt n?\nAnswer: -96*n*r + 1074*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 3. Let c be v(2). Suppose c = 2*t + 1. Sort t, 0, 1, -1 in decreasing order.\nAnswer: t, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -26. Suppose -4*z + p = z + 10, z = 4*p + n. Sort 1, 0, z in decreasing order.\nAnswer: 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 4 - 6 + 6. Suppose 10 = w - 4*k, -2*w + 8 = -k - k. Calculate the smallest common multiple of w and s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -2*g. Let j(d) = -14*d. Let l(o) = o**2 - 56*o - 1. Let n(s) = -4*j(s) + l(s). Let v(t) = t**3 + 2*t**2 + 2*t - 1. Calculate g*v(i) - 2*n(i).\nAnswer: i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - sqrt(88)*-2) - sqrt(88) - sqrt(88) - sqrt(88))\/(sqrt(44)*-1))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2810 + -8428\/3. What is the second smallest value in q, 3, -0.5, 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -102, -209, -370, -597, -902, -1297?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-105) + 44\/21. Suppose 0 = o*d - 1 - 3. Solve 5*u = -4*c - 36, d*c - 3*u - 12 = 2*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 17. Let m(c) = -c - 8. Let v be m(-10). Suppose -6*t = v*o - 2*t - 24, -5*t = o - 9. List the prime factors of b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:56 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*j = -j - 9, 9 = -3*c + 2*j. Let r be 8 + ((-3)\/c)\/(-1). Suppose r = -0*f + 5*f + 2*l, 0 = -4*f - 3*l. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 58943944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-21)\/5) + (-4864)\/1920?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6168365.\nAnswer: 5, 7, 17, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -141*s**3 + 5*s**2. Let z(x) = 70*x**3 - 3*x**2. Let v(j) = -4*q(j) - 9*z(j). Find the third derivative of v(h) wrt h.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1\/10 (c) -3\/8 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 13*t + 1. What are the prime factors of x(9)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19563308459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 523097377 and -29.\nAnswer: 523097348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - b**2 + 8*b + 26. Let g be d(-4). What is the highest common factor of 2597 and g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let i be z(6). Let j = 19.51 - 19.01. Put -2\/3, j, i in decreasing order.\nAnswer: j, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -87, -143, -199, -255, -311?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 10. Let r be o - -3 - (1 + -1). Let v be (-6)\/(0 + -2) - r. Solve v*m + 0 = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 10. What is the remainder when 13 is divided by n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-10)\/8) + 4\/4. Let x(v) = 41*v - 100. What is the lowest common multiple of x(i) and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3967*w**2 - 12145*w - 6. Calculate n(3).\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15*28\/3220*23\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0*m**3 + 3*m + 0*m**4 + 0 + 1\/4*m**5 - 2*m**2. Find the first derivative of y(g) wrt g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -0.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)\/(n**(-4)*n))**6 assuming n is positive.\nAnswer: n**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 26*b**2 - 87*b - 4. Determine x(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592908015 and 1767?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 429550 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -19. Let i = 0.03 - 0.63. Let c = i - 3.4. What is the second biggest value in g, c, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046247084.\nAnswer: 2, 3, 19, 509867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 2*l + 2. Let q(t) = 3*t**2 + 266*t - 7. What is -q(i) - 2*r(i)?\nAnswer: -i**2 - 262*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -936?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12258589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1133 + 1138. Let j(p) = p**3 - 6*p**2 + 2*p - 7. Let b be j(6). Suppose -5*t - 15 + 460 = -f*i, -b*i = 2*t - 164. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420 take away -0.4?\nAnswer: 3420.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.011 + 17. Let o = -0.01100241 - j. What is o rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 26 = 3*l - 5, -4*l = -4*f + 32. Let w(n) = n**2 - 3*n - 4. Let o(c) = c**2 - 4*c - 4. Let i(b) = f*o(b) - 2*w(b). What is i(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1210?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 + (-3 - (1 - 6)). Suppose 0 = 3*p - 2*a - 0*a + d, -5*a + 23 = p. Let h(t) be the first derivative of t**4\/4 - t**2\/2 + 2*t + 1. Calculate h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*4\/10)\/((-418)\/(-190) - 3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 0 - 2 - -2. Suppose 2*h + i*x - 3018 = 0, 3*h - 4*x - 4527 = x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:08 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let x(v) = v**2 - 6*v + 6. Let z be -1*(-2)\/(-3)*-6. Let j be x(z). Let w(a) = -2*a - 1. Let i = -163 + 160. Determine i*u(d) + j*w(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -4, 107 in increasing order.\nAnswer: -4, 74, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335 times 0.117?\nAnswer: 741.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00958 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 6*b + 7. Let n be j(5). Let o be (-6)\/6 - (-2)\/2. Factor o*l - 1\/3*l**n + 1\/3.\nAnswer: -(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)*f)**(2\/25) assuming f is positive.\nAnswer: f**(1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) + 1*sqrt(980))\/(sqrt(256)\/sqrt(4)).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19258789*-0.2.\nAnswer: -3851757.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 - 192*o**2\/5 - 38*o.\nAnswer: -2*o*(o + 1)*(o + 95)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2159 divide 464872525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1969380522 divided by -6.\nAnswer: -328230087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -260105 + 4?\nAnswer: -260101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/470 - (-17)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 2. Suppose 3 = h - 5. Suppose -2*b - h = -4*b. Calculate the greatest common divisor of b and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*l + 17, -31*l + 35 = -5*d - 26*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*l + 25431 = -765 - 5718. Solve -380*b + 28 = -l*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15262 to the nearest one hundred.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 2199 + 2204 - 69*n**3 - 2*n**3.\nAnswer: -71*n**3 + n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*c - 5011 = -3775 + 9229 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1805060769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 114846.24?\nAnswer: -57423.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1475.212\nAnswer: 4425.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0.1 (b) -2\/9 (c) -1.1 (d) -206 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 + -134. Calculate the common denominator of q and -52\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*d + 26. Let r(f) = 2*f**2 + 5*f - 7. Calculate the remainder when r(4) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + i + 22. Let d(c) = 2*c**2 - 3*c - 43. Let x(l) = -2*d(l) - 5*h(l). Let a be x(-18). Suppose 19*r = 16*r + a. What are the prime factors of r?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:39 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l - 3. Let f = -10 + 20. Suppose 6 + f = 2*k. Let g be ((-2)\/(-4))\/(2\/k). Calculate o(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*g*o - 14267*g - 581*o**2 - 1 with respect to o.\nAnswer: 31*g - 1162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 5*s + 3*l - 276 = 0, 5*l + 46 = s. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-6 - 2 + 2)*(9*i**4 + i**4 - 2*i**4).\nAnswer: 96*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1010001111110000111?\nAnswer: 1010001111110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -8 + 6 - 9 - -22?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 2 + 2 + (-2 + 1 - 1)*(-15*r - 66 + 66) - 8 + 8 - 9 - 4*r.\nAnswer: 27*r - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30454 or -1?\nAnswer: -30454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380358 to the power of 1\/2, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**15)\/m)**(-1\/6)\/(m*m*m*m**(2\/9))**(-48) assuming m is positive.\nAnswer: m**(943\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w = 34*w - 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 9*n - 9. Suppose -61 + 10 = -17*k. Suppose -11 = -k*c + 5*q, -c + 13 = -16*q + 19*q. What is p(c)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39216520?\nAnswer: 2, 5, 7, 227, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28426, 56854, 85282, 113710, 142138, 170566?\n\"Answer: 28428*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3926*k**2 + 387*k + 3. Let y(j) = 1964*j**2 + 172*j + 1. Give -4*p(a) + 9*y(a).\nAnswer: 1972*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 1, x: 9, z: 7}. What is prob of sequence vxz?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*1)\/sqrt(6).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 139\/3. Let z(j) = j**3 + 12*j**2 + 2*j + 32. Let h be z(-12). Let s be (-12 + h)\/(1\/(1\/3)). Which is the nearest to 3? (a) d (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-3)\/(-11)*(-36)\/(-5760)*32\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2414\/4835?\nAnswer: -2414\/4835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**5\/20 - 7*i**4\/12 - i**3\/2 + 7*i**2\/2 + i. Let k be p(-7). Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2)*(-28)\/(-35). Suppose 0 = -j*s + 220 + 454. Suppose 427 = 4*a - s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*o + 32 = 137 - 759 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**2 + r + 4. Give i(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -10. Calculate the remainder when u is divided by 15\/12 + 6\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3706800245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 3*o - 262, u - 93286 = -5*o - 93752 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - b - 15*b - b - 4*b + 4*b + (2*b - 2*b + b)*(-1 - 2 + 2) - 5 - 2*b + 5 + b + b + 4*b in the form h*b + g and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66292, 132656, 199060, 265510, 332012, 398572?\n\"Answer: u**3 + 14*u**2 + 66315*u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1255b4 - 30?\nAnswer: 125584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrf when three letters picked without replacement from frfasfpgrpprfpp?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -578. Let q = w - -601. Let o = q + -137. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*r + 16, -r = -4*r + f - 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(6\/(-8) + (-12)\/(-32)). Suppose 2*q - 14 = -2*o, -o - 3 = -2*o + 3*q. What is the derivative of 28 - w - j - o - j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 24*t + 39*t - 3.\nAnswer: 15*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.589 + 0.089. Let p be 3\/(-57)*3*3. Let k = p - -109\/190. What is the third smallest value in -2\/57, k, g, -3?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 606*o - 623*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*x + 216*x - 374810 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1570.74 - 1555. Let y = w - 16. Let o = y + 0.25999915. What is o rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97340 or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 + 19?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -198 (b) 0 (c) 2\/5 (d) 13\/17 (e) -0.4 (f) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 981 - 1449. Let d = u + 470. Solve -7 + d = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102695372 to the power of 1\/2, to the nearest integer?\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*(-6)\/40)\/((-154728)\/(-257880))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1313010 + -3310331?\nAnswer: -1331321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 90. Let h be (-106986)\/846 + (-1)\/(-1 - 2). Let n = h + 126. Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 - 10)*(1\/(-2) - -2). Solve 2*k - 16 = -6, -h*c + 22 = 5*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 13*w + 21. Let z be t(15). Find the common denominator of -59\/22 and z\/(-6) + (516\/(-28))\/(-3).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1758*q + 56268. What is d(32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1117689347 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/(1\/6). Suppose -3*v = -3*t - t + 19, -f*v = 5*t + 5. Let z = v - -9. Solve z*o - 4*m + 24 = 0, 4*o - m + 15 = -0*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/12 + 435\/(-20) + 3. What is the common denominator of -29\/7 and 9\/v - 15\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20280, 40356, 60432?\n\"Answer: 20076*o + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1332, -10318, -34630, -81930, -159880, -276142, -438378?\nAnswer: -654250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3 + 3 + 2*v. Let r(k) = -2*k + 2*k + 3*k. Calculate i(r(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - -1*(2 + -1). Suppose -o*i = -4*i - 3. Let u(g) = 6*g**2 + 2*g - 1. Is u(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 371 = 19*j. Suppose 2*b - j = -o, -4*b + 54 = o - 51. What is the second derivative of -25*i + b*i - 21*i + 39*i**4 wrt i?\nAnswer: 468*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/6 - 422897*z**2\/3 - 89398518550*z\/3 + 9480995232500\/3.\nAnswer: -(z - 106)*(z + 422950)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.1981 to 1 dp.\nAnswer: -58.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1939 + -1052. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1. Let f(p) = 2 - 5 + 2 + p**4 - 3*p**4. Let k(l) = -4*d(l) + f(l). Find the first derivative of k(c) wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + f**2 - 5*f - 3*f**2 + 0*f + 6. Let o(u) = -u + 1. Suppose -3*w + 8 = -3*c + 20, 0 = -3*c - w - 8. Give c*g(s) + 4*o(s).\nAnswer: 2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1021 = 4*r + 247, -3096 = 4*m + 3*r. Is 9 a factor of (-4)\/22 - m\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 62 - 56 - (-11 - 2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2130 (base 4) to base 14\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191691721 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -428357.61 to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22780 and 4690?\nAnswer: 159460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)*g**(-2\/15)*g*g*g*g*g*g*g\/g**(4\/7)*g**(-3\/4)*g**(4\/3)*g*g**(-7)\/g*g**(-8)*g**(-2\/15)*g assuming g is positive.\nAnswer: g**(-5567\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/12 - h. Suppose 88 = 2*k + 4*m, -3*m + 6*m = -4*k + 166. Suppose -38*s + k*s = -2. What is o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2249420 - 2248311.883. Let p = 1109 - m. Let f = p + -0.84. Round f to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 24 = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/20 + 3*u**3\/2 - 5*u. What is the second derivative of c(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -652*j - 6715. Let h be c(0). Which is smaller: -6716 or h?\nAnswer: -6716","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34801 and -6.\nAnswer: 208806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**4\/8 + 38*w**2. Let r(n) = 19*n**2 - 7. Let c(x) = 9*x**2 - 3. Let v(m) = 7*c(m) - 3*r(m). What is j(v(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725438 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkmu when four letters picked without replacement from {u: 1, w: 3, k: 3, m: 7, t: 3, d: 2}.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0159777 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12824 = 270*p - 273*p, -3*s = -p - 7692. What is the greatest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2513 - -4222. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -166500 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 3*y**2 - 1\/60*y**5 - 2\/3*y**3 - 4 + 0*y + 0*y**4. Let f(b) be the second derivative of s(b). What is f(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -70, 27, 212?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 245\/17, 16, 2, 5 in decreasing order.\nAnswer: 16, 245\/17, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a week in minutes?\nAnswer: 64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96*k - 49*k + 57*k)*(4 + 2 - 4) as y + s*k and give s.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 9:13 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*w + 9*w + 71 - 34*w + 19*w - 8 to c + r*w and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 14. Let f = 9 - -6. Let i be (-1)\/(f\/(-7) + 2). What is o(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + -61 + 9 - 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**10\/(f**(1\/5)*f*f)*((f*f**(2\/33))\/f)\/f**(-2\/21) assuming f is positive.\nAnswer: f**(3063\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 3435*t**2 - 6867*t - 3433.\nAnswer: -(t + 1)**2*(t + 3433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32564951 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 4a3?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/35 - (-3)\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22318 + -22316. Suppose 32\/3*h + 26\/9*h**n + 2\/9*h**3 + 8 = 0. What is h?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -210*g + 85. Let t(p) be the second derivative of 5*p**3\/6 - p**2 - 716*p. Calculate 6*c(z) + 255*t(z).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.2203ml to litres.\nAnswer: 0.0862203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + j - 3. Let h(o) = 4*o**2 - 90*o + 8. Determine -h(f) - 2*n(f).\nAnswer: 2*f**2 + 88*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*p**2 + 126*p**2 + 375*p**2 - 215*p**2)*(-3*p - 2*p + 2*p)*(3 - 3 - 1) to the form v*p**2 + b + t*p + u*p**3 and give u.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)\/l)\/l)**(6\/23)*(l**0\/l)**(4\/7) assuming l is positive.\nAnswer: l**(-796\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 + v. Let x(w) = w**3 - 5*w + 5. Let t(o) = 285*o**3 - 246*o**2 - 236*o - 10. Let k(b) = t(b) + 2*x(b). Determine -k(i) - 246*m(i).\nAnswer: -41*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7287433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let p be o(-2). Let k(f) = -f**2 + f - 2. Let n be k(3). Let b be n\/(-1) + 0 + -3. Solve -b*h + p = 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 + 243 = 2*q, q - b = 114. Let a = 94 - 159. Let o = q + a. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - 608\/28. Let i = -132 - b. Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 15634932.\nAnswer: -15634932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/8 - 3024\/(176 + -8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 2. Determine i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 + -292. Let k(y) = -18*y + 2. Let t be k(v). Solve 0 + 0*i - 12*i**t - 18*i**3 - 3\/2*i**5 - 9*i**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**4\/3 - r**3\/2 + 371*r**2. Determine v(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.2, -2\/19, -4448, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50182.1 rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525271, -525051, -524833, -524617, -524403, -524191?\nAnswer: -523981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*r - 17*r - 17*r - 233*r**2 + 2*r**2 - 9*r to o*r + f + h*r**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164987 and 0.05.\nAnswer: -8249.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-8))\/((-6)\/(-20)). Suppose -o*c + 28 = 2*c. Let w be (5 + 0)\/(2\/c). Solve 3*q = 8*q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 153 = 156 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59442620 is divided by 162.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 3*r**2 + 3. Let a be i(-3). Suppose 10*q + a*q**2 + 0*q**2 - q = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233697.99975 + 233725. Let b = -27 + g. Round b to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 5.02. Let v = 93876 - 655373\/7. Let s = -251 + v. Put z, 2, s, -0.2 in decreasing order.\nAnswer: z, 2, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (106*z + 104*z - 233*z)*(8 + 0 + 8)*((-1 + 4 - 2)*(-3 + 3 - 1) + 0 + 2 - 4) in the form f + u*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 14\/5, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 535, 604, 677, 754, 835, 920?\n\"Answer: 2*y**2 + 63*y + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v. Let c be (4\/48*10)\/(1\/6). Let s(r) = 3*r + 43 + c + 0*r + 25. Calculate s(u(y)).\nAnswer: 6*y + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 8 + 45 + -4. Let v = a - 30. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 1d10?\nAnswer: 1d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1286 + -1)*(-266)\/(-5). Suppose 419992 = 5*h + 2*i, -3*h + 183630 = 2*i - f. What is h rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from hxxvhqthxxh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 900028 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*s + 7 = n - 764*s, 2*n - 4*s = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -466 - -836. Let o = u + -243. List the prime factors of o.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 490 - 2776 = -2*a, 2*a - 3*b - 2262 = 0. Suppose k = 4*k - a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j + 3. Let o(p) = -14*p - 6. Determine 4*o(g) + 9*x(g).\nAnswer: 7*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 1\/8 (c) -7 (d) 5 (e) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -84, 3, 4, -172 in decreasing order.\nAnswer: 4, 3, 2, -1, -84, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -46. Let g be (8\/(-3))\/4*(-48)\/z. Let a(j) be the third derivative of -j**5\/6 + j**4\/12 - j**3\/6 + j**2. Calculate a(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose n*h = 21 - 6. Let z = 0.3 - 0.8. What is the third biggest value in z, 4\/7, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 + -1.3. Sort 1\/3, l, -1\/7 in descending order.\nAnswer: 1\/3, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85b3 (base 13) to base 8.\nAnswer: -44207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/10)\/((-2)\/5). Let r(k) = -k**2 + 2*k - 1. Let d be r(1). Solve -2*o = -4*x - p, o - 4 = -x - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -384 - -391. Put 1\/6, 8, a, 0 in decreasing order.\nAnswer: 8, a, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 18*t - 5*t + 21 - 19.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*15\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-2 + 3) - -1. Let s(o) = o**2 - 5*o + 4. Let a be s(l). Is 11 a factor of (-2 - 6)*-4 + a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 19*g**2 - 18*g - 9. Let z(c) = -2*c**3 - 20*c**2 - 21*c - 9. Let l be z(-9). Give u(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieie. Give prob of sequence ii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/3 - 2. Let f(l) = 195*l - 35. Let t(g) = -392*g + 81. Let p(s) = -7*f(s) - 3*t(s). Calculate b(p(x)).\nAnswer: 35721*x**2 - 756*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*u**3 - 95*u + 35*u + 27*u + 33*u.\nAnswer: -181*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)\/(n\/(n*n\/n**(2\/5))))\/(n**1\/(n*n**(-2\/9))) assuming n is positive.\nAnswer: n**(23\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + f = -2886, -5*j - 157 + 3019 = 3*f. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 28, -3 in decreasing order.\nAnswer: 28, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/5040 + r**6\/90 - r**5\/20 - 3*r**2. Let h(v) be the third derivative of s(v). Let j be h(-4). Solve -3 = t - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 200 = 172*t - 1370 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/143 (b) 2 (c) 5 (d) 0.02 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7071162384.\nAnswer: 7071162380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*d**2 + 32*d**2 - 41*d**2)*(-2*d**3 + 5*d**3 + 0*d**3).\nAnswer: 66*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + z + 4 + (-2 + 0 + 0)*(z + 4*z - 3*z) + z + 0*z - 2*z + (0 - 4 - 2)*(-5*z + 14*z + 10*z).\nAnswer: -118*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30738 or 184421\/6?\nAnswer: 184421\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2001311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11461565 (base 8) to base 5.\nAnswer: 1121001304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(((-144)\/216)\/(((-8)\/(-2))\/(-12))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 487251785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 60\/(-8))*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 7 - (-26 - -18). Solve 3*k + 0 = -4*f + 7, -h*k + 5*f = -25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 - -5. Let b = g + -0.1. Let k = 0.7 - 0.2. Sort -1\/9, b, k in ascending order.\nAnswer: -1\/9, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = 36. Suppose -j + 62 = d. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1 + (-1 + 2 - 3)*(2 + 1 - 4) + 3 - 1 - 1 + 5 + 3 + 6)*(4*n - 3*n - 11*n) in the form w + q*n and give q.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let l be s(-4). Suppose l*t = -5*t + 40. Solve -3*m - 22 - t = -4*f, -5*m + f - 28 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 1, a: 6, p: 1, h: 1, c: 1}. What is prob of picking 1 h, 1 c, and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 432?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 123*q**3 + 11*q**2 - 68*q + 171. Is w(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Suppose 1 = -3*i + 7, -2*k + 6 = 3*i. Suppose k = 4*n - s*n - 40. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - 2*m)*(0 - 6 + 2).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmddmsddsdmmdcdmss. Give prob of picking 1 c, 1 s, and 1 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 36*h**4 + 251*h - 339. What is the first derivative of i(w) wrt w?\nAnswer: 432*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -718*g + 7706*g**2 + 718*g - 7710*g**2. Let z(c) be the second derivative of 5*c**4\/6 + c. Calculate l(z(v)).\nAnswer: -400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*a**5 + 7*a**3 - 2*a**2 + 32 wrt a?\nAnswer: -1500*a**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 36*o + 407*o**2 - 61 - 409*o**2.\nAnswer: -2*o**2 + 36*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 277752 and 14994696?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30433936 and 104.\nAnswer: 30433936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/10)\/(-13 + (-819)\/(-65)). Let z(u) = -u**3 + u**2 + 1. Let r(g) = -g**3 - g**2 - 2*g - 2. Let p(a) = -r(a) - 3*z(a). Give p(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/16)\/(3 - 5). Put -2\/15, -1.4, d in decreasing order.\nAnswer: -2\/15, d, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*d = 174, -2*j + 5*d + 26 = 155. Let s = 7 + -16. Let g be 6\/s - j\/3. Solve 0*f = 5*f - 3*q + g, f = -2*q - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + 3*h - 3*h)*(309*h**2 + 99*h - 34*h**2 + 124*h - 243*h) as p*h**2 + r*h**4 + x*h + a*h**3 + i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0, -12, -0.51?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1874, -3, 3, 114, 0, 5, 2 in decreasing order.\nAnswer: 114, 5, 3, 2, 0, -3, -1874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2853892.\nAnswer: 2, 17, 41969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -345 - -609. What is the highest common factor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.000021 + 0. Round v to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 2*x**2 + 3*x - 2. Let o be p(2). Suppose o*f = -f + 15. Solve -f*i + 9 = 4*k - 0, 0 = 5*k + i - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 4*w - 36970*w**2 - 4*w.\nAnswer: -36970*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3740 and 3740.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-636)\/(-106)*-1)\/((15\/18)\/(2\/(-9)))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, y: 2, b: 7, p: 4, z: 1}. What is prob of sequence pzb?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-12))\/(3\/(-9)). Let t(p) = -10*p**2 + p - 1. Let o be t(j). What are the prime factors of -4*205\/o + 0?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61098048 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -4. Let a(v) = -v**2 + 7*v + 12. Let d be a(8). Suppose 0 = -0*p + 3*p - 2*s - 8, -d*s + 2 = 3*p. Solve h*z + t - 7 = 0, -3*z - p*t = 2*t - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynnyyyynny. Give prob of sequence nn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120895.3 * -229.\nAnswer: 27685023.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33\/100 + -2\/25. Let f = -26.47 + 0.47. Let x = f + 22. What is the closest to -2\/7 in 4, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 18. Let u(o) be the third derivative of -1\/48*o**4 + a - 1\/40*o**5 - 2*o**2 - 1\/420*o**7 + 0*o - 1\/80*o**6 + 0*o**3. Factor u(w).\nAnswer: -w*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-9)*j\/(j**(-28)*j*j))**(4\/33) assuming j is positive.\nAnswer: j**(76\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-20) - (-3)\/(-12). Let f be 6\/75 - (-3294)\/9450. What is the nearest to 12 in d, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-1 - 0 - (-36)\/(-2)). Suppose x = -3*x - 196. Let r = x + g. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (517 - 10*p**2 - 517)*(26*p**2 - 7*p**2 + 37*p**2) + 2*p**4 + 0*p**4 + 0*p**4 to u*p**4 + g + o*p + l*p**2 + k*p**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 495 + 949. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, -4\/5, 6\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12817804, 12817805, 12817806, 12817807, 12817808, 12817809?\nAnswer: 12817810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 597 - 594. Let f be 124\/(-78) + 2*1. Let a = 14\/13 - f. What is the second biggest value in -13, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z - 31. What are the prime factors of t(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {h: 4, s: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/8958 and -139\/876.\nAnswer: 1307868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - 3*l)*(-2 + 6 - 2).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 153180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 262604442 to the power of 1\/3, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 + 14*l + 186*l + 3 + 126*l - 70*l wrt l.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 742.35*0.197\nAnswer: 146.24295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*z + 3*w, 4 = -z + 4*w - 2. Let h be 7\/(441\/z) - 0. Let v = -0.2 - -0.1. Which is the nearest to -1? (a) h (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + f**2 - 1. Let g(v) = -4*v**4 - 6*v**3 + 2*v**2 + 2. Let c(m) = -g(m) - 6*j(m). Factor c(u).\nAnswer: 4*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:20 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 20 + 7*u**2 + 36.\nAnswer: 7*u**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-9 - (2 - 5)). Suppose -14 + m = -3*v + c, -5*c + 1 = 2*v. Solve 4*f = -12, 3*l - v*f - 15 = -0*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a6 (base 14) in base 16?\nAnswer: 2de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 10*a + 18. Let o be k(-11). Let z(x) = 2*x**3 - 12*x**2 + 12*x - 10. Let m be z(o). Suppose -m = -r - r. What are the prime factors of r?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*8\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*t + 234 = -145*t - 155*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfc when three letters picked without replacement from {c: 1, x: 5, f: 7}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let h = -24 - -23.9. Which is the third biggest value? (a) v (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 6\/5, 1\/4, -4 in decreasing order.\nAnswer: 6\/5, 1\/4, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - j - 1. Suppose 187*p - 92*p - 8 = 87*p. Let m(v) = 5*v**2 + 10*v - 8. Give p*m(g) - 6*s(g).\nAnswer: -g**2 + 16*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183413.\nAnswer: 17, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -31 - (-6 + 32 - -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*((n*(n*n*n**(2\/5)\/n*n)\/n*n)\/n)\/n)*n)**18)**(-48)\/((n\/(n*n\/n**(-2\/5)*n))\/(n*(n**4*n)\/n))**(-2\/7) assuming n is positive.\nAnswer: n**(-18218\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 44*l**3\/3 + 56. Let i(m) = 2*m**2 + 3*m - 3. Let h(z) = 5*z**2 + 8*z - 8. Let s(j) = 3*h(j) - 8*i(j). What is d(s(k))?\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81000 and 80?\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 10*y - 6. Let f be k(9). Let o be 6\/(-8)*(-16)\/4. Suppose o*h - 25 = 5*v, 5*h - 31 = -f*v + 6*v. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 + a**2 + a**2)*(2*a - 2*a**2 - 2*a) - 2*a**3 + 2*a**3 - a**4 + (4*a - 3*a + a)*(-3*a + 3*a + a**3).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**3 + 65*n**2 - 240*n + 180 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/11 - 408\/(-748)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2925, 2911, 2909, 2919, 2941, 2975, 3021?\n\"Answer: 6*k**2 - 32*k + 2951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 13389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/115))\/k*k)\/k*(k**(-2\/77)*k)\/k assuming k is positive.\nAnswer: k**(-76\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13227 divided by 2\nAnswer: 13227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*(r*(r\/r**(-8))\/r*r*r*r)\/r*r\/(r\/(r*r**(-1\/4))*r)*r**(-1\/17))**(-4\/3))**32 assuming r is positive.\nAnswer: r**(-10208\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 278? (a) 2\/7 (b) -3.23 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q - 28. Let w be v(9). Let p(a) = -w*a - 2 + 0*a**3 + 83*a + a**3 - a**2 - 2*a**2. Calculate p(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -10 + 5. Let x(m) = m**2 + 4*m + 3. Let h be x(-3). Let l = 3 + h. Solve -5*g - b = l*b - 3, -y*b = -5*g + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2 - d - 1. Let c(g) = g**3 + 2*g - 7*g + g**2 + 2*g - 1 + 2*g. Let r = -4 - -5. Give r*o(w) - c(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*i + 32, 5*i - 9 = 3*u - 1. Let b(o) = -o**2 + 5*o - 1. Let x be b(u). Differentiate 1 + x*m - 3*m - m**4 with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23643 divided by -8.\nAnswer: -23643\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149214743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29393040?\nAnswer: 2, 3, 5, 122471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 9. Calculate r(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 319*t**4\/6 + 16*t**2 - 3*t - 3. Let y(h) = 2*h. Calculate y(q(d)).\nAnswer: 2552*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-16)*55518\/259084\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/((-3)\/2))\/((-2)\/7609). Suppose s = -5*y + 12*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(6)\/sqrt(2) + -2).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 3*a**2 - 4*a + 1. Let k be u(-4). Let j be -3 - (174\/(-57))\/k. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v = -55*v + 105. Solve -v = -g + 5*p, 4*g + 3*p - 4*p = 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 4 + 2 + 6. Is t(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15071.\nAnswer: 7, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 17*t**2. Let h(d) = 1780*d**2. What is h(b(r))?\nAnswer: 514420*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/3 - 1183078*d**2 + 2366158*d - 3549238\/3 = 0. Calculate d.\nAnswer: -1774619, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*o - 2. Suppose 79*n - 64*n = 0. Let s be 14\/((1 - -1)\/1). Sort o, s, n.\nAnswer: o, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5*s + 10, 2 = f - s. Suppose -b + 3*q - 6 = 2*b, 2*b - 4*q = -10. Suppose k + b = f. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118438 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.304 + -27. Let w = -0.084 + s. Round w to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 2:50 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-22 - 0) - (-1 + 3 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4, -4*c + 3*a - 16 = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6332400 divided by 25.\nAnswer: 253296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 3, 31, 1, -121, 6 in increasing order.\nAnswer: -121, -7, 1, 3, 4, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z**5 - 375*z**4 + 3414*z**3 + 10956*z**2 - 8712*z = 0.\nAnswer: -3, 0, 2\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 10:18 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - -179992)\/((-4)\/(-72)). Round i to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1395 and 620?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10804.94 and -21.5.\nAnswer: -232306.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7 - 3)*(-3 - 2*y**2 + 3).\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21823932 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: Let d be (0 - -1264)*(-2)\/(-2). Let z = -3713 - -3713. Suppose 3*x + 5*x - d = z. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 4*g + 9 - 1, -5*r + 2 = -2*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25065 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 118 - a?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 44*m - 105. Suppose 5*n - 79 = -m*k, 0 = -n - 5*k - 0*k + 7. Solve -5 = 3*i - n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 96*n - 116 = 13*n. Let t = 0.1 + 1.7. Which is the biggest value? (a) 2\/3 (b) t (c) n (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -485 - -488. Solve -2*w = -2*r + r, r - j*w + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -13 - (8 + -37 - -29 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2142?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 + 2*y + 2. Let o be h(2). Suppose 0 = -o*w - 3 + 39. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(168)\/sqrt(3))\/(-2*sqrt(847)) + (4*(sqrt(72) + 1)**2 - (sqrt(72) + 3 + -5 + sqrt(72))).\nAnswer: 395*sqrt(2)\/11 + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (69 + -64 - (6 - (-1 - -2))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 7138698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -21*x**5\/20 + 815*x**4\/4 + 1636*x**3\/7 + 702*x**2\/7 + 306*x. What is c in z(c) = 0?\nAnswer: -2\/7, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -311.32106034.\nAnswer: -306.32106034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 1, -1 in increasing order.\nAnswer: -7, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -5\/2*p**2 + 1\/2*p**3 + 1\/20*p**5 - 2\/3*p**4 - 6*p + 0. Is r(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from wwoowmwodwonodu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.99 (b) 3\/7 (c) 76 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, d: 2, e: 2, j: 3, f: 1, i: 4}. What is prob of sequence me?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*b = p - 74, 5*p = -5*b + 325. Suppose -2*x - 5*s + 871 = p, 2*x - 3*s - 779 = 0. List the prime factors of x.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2295\/(-35) - 2 - (-3)\/(-7). Let g = 73 + h. Solve 14 + 11 = g*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -22. Calculate the remainder when (c - 5)\/2*-21 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 30 + 19 - 17*l + 11.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375200 rounded to the nearest ten thousand?\nAnswer: 2380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:16 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -6 + -9 - (-4 - -12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 101*s + 12800. What is y(-86)?\nAnswer: 4114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 39*w**2 + 2379*w - 103. What is the remainder when l(-68) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4534*d**3*l**2 - 23*d**3 + 6891*d + 38*l**2 + 2 with respect to l.\nAnswer: 9068*d**3*l + 76*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 71*n - 2650. Let y(s) = -50*s. Calculate y(r(x)).\nAnswer: -3550*x + 132500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 7. Let u(z) = -4*z - 2. Suppose 5*y - 5*x = -20, 0 + 2 = 2*x. Calculate the remainder when u(y) is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvuuuuuuuuuuuuuuuuu. What is prob of picking 1 u and 1 v?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*g + 72, 4*g - g = -4*w + 86. Suppose 4*t - 2*p = w, -5*p + 0*p = 10. Calculate the least common multiple of 1 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 5623970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45.20526 and 297043.\nAnswer: 296997.79474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931.223 - -60?\nAnswer: 1991.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/10)\/p*p**40*p)\/(p**(-35)*p*p**(4\/17)\/p))**(-7) assuming p is positive.\nAnswer: p**(-88851\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41 + -0.59. What is the third biggest value in 1\/4, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.35 and 10014 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4 + -8)*2*16. Solve -10*b + 6*b = -a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4 + 14. Let x = -8 - -4. Sort -0.5, r, x in decreasing order.\nAnswer: r, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + o + 1. Suppose 5*l + 4*w - 20 = 7*l, l + 3*w = -5. Let h(t) = 19*t**2 - 6*t - 8 + t**2 - 6*t**2. What is l*s(j) - h(j)?\nAnswer: -6*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9608, -19291, -29052, -38891, -48808?\n\"Answer: -39*w**2 - 9566*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.63 + 5.63. Let y = -2 - -1. Which is the second biggest value? (a) k (b) y (c) -3\/7 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.274 and -60.\nAnswer: -76.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = -2*o. Suppose b = 5*k - 5, -2*k - 5*b + b - 20 = 0. Sort k, o, 5 in descending order.\nAnswer: 5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 370 - 177 - 193.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from eggecje.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 23*r + 56 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) -3 (c) 2 (d) 65 (e) 0.773 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1794 and 2990?\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let f(n) be the first derivative of -31*n**2 - 35. Give b(f(k)).\nAnswer: 7688*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15074*(-4)\/(-28) + (-45)\/105 + -1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117\/15 + 28\/(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/143 and 61\/352.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 134, 190, 258, 344, 454?\n\"Answer: d**3 + 49*d + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11090 + 27021. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -43. Suppose 2*a = -a - 4*c - 46, -z*a - 58 = 2*c. Is ((-68)\/3)\/(a\/63) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/4 + -3)*2\/(-5). Put -0.4, m, -1\/6 in descending order.\nAnswer: m, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33207 (base 9) in base 13?\nAnswer: -a054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-1\/5)\/q*q)))\/(q**(-4\/15)\/q) assuming q is positive.\nAnswer: q**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahaaaaaahhaaaahaaaaa. Give prob of sequence ahhh.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.57 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/27 - 33\/(-9). What is the tens digit of (-3)\/(y - 205\/50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72723.08 minus -7365?\nAnswer: -65358.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 57 + 203*z**2 - 224*z**2 + 109.\nAnswer: -21*z**2 + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllxlllllxxxx. What is prob of sequence xl?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 - 30*d**2 - 45*d - 20 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1216) + sqrt(1216) + ((sqrt(1216) + 0 + sqrt(1216) + sqrt(1216))*5 - sqrt(1216)) + -4 + sqrt(1216) + -1)*6)**2.\nAnswer: -50608656 + 195840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10.1, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 274*k + 50997. Determine t(127).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -165*u. Let h(l) = 2*l - 1. Let x(t) = 9*t - 4. Let b(d) = 20*h(d) - 5*x(d). What is b(g(m))?\nAnswer: 825*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.98 - -0.02. Let y = 0.85929 + -5.85929. What is the second smallest value in 0.5, 2\/5, t, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9385 (b) -6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i**2 - 3*i - 1. Let r be k(-2). Let g = 74 - r. What is the remainder when g is divided by -3*((-8)\/(-16))\/((-6)\/44)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/120 and -109\/930.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 56 = 0. Suppose -92 = -4*y + k. Solve 5*p = -v - 0*p - y, 4*v + 25 = -p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let z = 1 - 1. Let t be (-1)\/((-4)\/26 + (-6)\/(-546)). Put t, z, d in descending order.\nAnswer: t, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z + 69 + 33. Let y(d) = 3*d**2 - 8*d. Let m(t) = -16*t**2 + 41*t + 1. Let i(v) = -2*m(v) - 11*y(v). Give i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose -s*l + 28 = -l. What is the remainder when 40 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c50 + 1?\nAnswer: -5c4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 10 + 23*j + 6 + 58*j to f*j + o and give f.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(i - 2024*i**5 + 1045*i**5 + 10995*i**3 + 980*i**5 + 2016*i**3).\nAnswer: -2*i**5 - 26022*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2088 - -2092. Calculate the smallest common multiple of 309 and r.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - t = 17 + 1, 38 = -4*z - 3*t. Does 20 divide 3 + z\/((-48)\/1638)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/54*(-4)\/20. Let m = -2 - 2.1. Let w = 5.8 + m. Which is the closest to n? (a) -0.5 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 40 = -2*n. Suppose -2*m - n = -m + 4*i, 3*i + 15 = 0. Is (3\/m)\/(4\/11216) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*g - g - 198 = 0, -4*p - 5*g = -790. Let w be p\/(-350) + 176\/14. Solve 15*j - 11*j = -w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*sqrt(238)\/sqrt(7) - sqrt(34))*2)\/(2*-4*(sqrt(2) - (sqrt(8)\/sqrt(4) - sqrt(2)))) + 0.\nAnswer: -15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9091 litres in millilitres?\nAnswer: 3909.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 2*u, -z = -4*z - 2*u - 1. Calculate the lowest common multiple of (1 + z)\/(26\/(-104)) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983282757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45278 - 4165621\/92. Find the common denominator of w and -89\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 1\/48*y**6 + 0*y + 7\/40*y**5 + 13\/32*y**4 - 9\/8*y**2 - 18 - 1\/8*y**3. Suppose l(t) = 0. What is t?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*q**3\/2 - 25*q**2 - 53*q\/2 + 55.\nAnswer: -(q - 1)*(q + 5)*(7*q + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:58 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66738855, -133477709, -200216563, -266955417, -333694271, -400433125?\n\"Answer: -66738854*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 455*u**3\/2 - 6*u**2 - 48*u - 1. What are the prime factors of y(1)?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 1, m: 4}. Give prob of sequence mad.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, -365, -915, -1465?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpxx when four letters picked without replacement from ppppipixxxxp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 962.6173 years?\nAnswer: 0.9626173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by -2.\nAnswer: -217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1125*k**3 - 13*k**2 - 14*k - 3. Give j(-1).\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(4*(5*sqrt(512) + 2) + 0).\nAnswer: -960*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36\/97? (a) -5 (b) -7 (c) 5\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7064 + -2.73. Let g = c - -49.4236. What is g rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00443189 less than -11349.0213?\nAnswer: -11349.02573189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1721 - 1720.87096. Let c = 90.868 + -91. Let h = u + c. Round h to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 40 - 36*y + 206*y + 10*y + 40*y. Let h(n) = 17*n + 3. Let q(r) = -40*h(r) + 3*w(r). Let a(p) = 5*p**2. Give a(q(d)).\nAnswer: 2000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144943 is divided by 72466?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (-3 + 4*(sqrt(2736) - 2*sqrt(2736)))**2 + (-2*(0 + sqrt(684)) - (sqrt(684) - (-1 + sqrt(684))*-2))).\nAnswer: -175144 - 1032*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + i + 210. Calculate the least common multiple of 15 and i.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -1\/4, -0.65, 4, 0.2, 0.6?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/((-153)\/(-60)) - (-2)\/(-3). Suppose -b*n + 11*n = 80. Calculate the lowest common multiple of 4 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9723.\nAnswer: 3, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -533? (a) 1\/5 (b) 0.33 (c) -1\/43 (d) 2\/11 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*w - 24 - 12, 0 = -4*w + q + 54. Suppose 10*c + 165 = w*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 877*m + 879*m + 5, 0 = -3*a - 5*m - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/4 - 2*l**3\/3 - l**2\/2 + 1. Calculate u(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6680 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -140746.88 rounded to the nearest 1000?\nAnswer: -141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose 4*f + y*f = -4*z + 52, 4*z - 47 = -5*f. Suppose -5*g + 19 = -4*o - 18, -z = o - 3*g. Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7578.0999919157 + 7578.1. What is m rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cftf when four letters picked without replacement from {f: 2, c: 3, t: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 448 = -3*w + 424 - 893, 2*r + w - 14 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749 times -0.38?\nAnswer: -1044.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**7*h**9)\/((h\/(h*h**(-1\/4)))\/(h\/(h**(-9)\/h*h))))\/((h**0)**21*((h*h**1)\/h*h*h*h)**(1\/2)) assuming h is positive.\nAnswer: h**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130959853 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2100, -4197, -6294, -8391?\nAnswer: -10488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.229 and 0.516956?\nAnswer: 0.287956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 (base 12) in base 3?\nAnswer: -110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036095 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268313*n**5 - 154*n**4 + 745203*n**2 - 112*n?\nAnswer: -16098780*n**2 - 3696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*o + 21, 0 = k - 0*k - 5*o + 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 139. Let g be 1\/1 - (2 + 324\/6). Let x = -33 - g. Calculate the greatest common divisor of w and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-56)*-4*196)\/((-146)\/(-73))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**7\/1680 - k**6\/36 + k**3\/6 + 67*k**2\/2 - 346*k. Let g(j) be the second derivative of a(j). Suppose g(d) = 0. What is d?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673086 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*c**3*x**2 + 370*c**3*x + 3*c**3 + c**2*x - 120*c*x**2 + c - x**2 wrt x.\nAnswer: -170*c**3 - 240*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2, 2*c + i = 2*i. Let g be (1\/(-2))\/(c\/24). Let n(h) = -h**3 + 4*h**2 - 3*h + 2. Let o be n(3). Solve 4*w + o*y - y = g, -4*y = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 21*h + 5. Let w(s) = -4*s**2 + 43*s + 11. Determine -5*r(g) + 2*w(g).\nAnswer: 2*g**2 - 19*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 + 826424*s**2 + 42653790448*s - 3332025516768 = 0. What is s?\nAnswer: -103342, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 5:19 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:27 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:56 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let i be j(2). Let z = 10 - i. Suppose -3*w - 2*w + 54 = -2*h, 5*w + 4*h - 72 = 0. What is the least common multiple of w and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(700) + sqrt(700)*2 + -2) + -4 + (sqrt(42) + (sqrt(1050) - sqrt(1050)*2))\/(-5*(2*sqrt(6) + sqrt(6)))*-1.\nAnswer: -454*sqrt(7)\/15 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-132))\/((-74600)\/32824).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84\/80819 or 0?\nAnswer: -84\/80819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/44)\/(-10 - (-7 - (-1 + 294\/77))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*i + 22. Suppose -3*y + 3*z = -84, 0 = i*z - 42 + 17. What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2618, -2574, -2544, -2534, -2550, -2598, -2684?\nAnswer: -2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/2877 and 79\/45?\nAnswer: 43155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/((-90)\/(-35))*-3 + -4. Solve -c*n - 12*n = 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4682*a*s**2 - 136*a*s - 35*s wrt s?\nAnswer: 9364*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 8. Let y(d) = -2*d + 5. Let c(w) = 5*j(w) + 8*y(w). Let h(i) = -i**3 - 3*i**2 - 3*i - 1. Let q be h(-3). Suppose -2*f - q = -4*f. What is c(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10584, -20681, -30350, -39585, -48380, -56729, -64626, -72065?\n\"Answer: q**3 + 208*q**2 - 10728*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 2)\/4 - 12\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/3 (b) 3\/4 (c) -4\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/36)\/((-250)\/20 - -12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 82.\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4574 - -41168\/9. Which is the third biggest value? (a) d (b) -1042 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, -7 in decreasing order.\nAnswer: 1, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -850 divided by -42259\nAnswer: 850\/42259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r, 0*s - 2*s + 4*r + 10 = 0. Let m = 5040 + -5042.317. Let h = 4.317 + m. Which is the nearest to s? (a) 5 (b) 3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 4*s - 15. Let l be x(6). Calculate the common denominator of -71\/10 and (-3)\/(-105 - 3)*l\/11.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + -3 - -2 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:18 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2243584*l**2*s + 3739931*s wrt l.\nAnswer: 4487168*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/167?\nAnswer: 8\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/15, 0, 215, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87608883.522 + -121469988.52043. Let t = v + 33861346. Let b = -241 + t. Round b to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, -28, 0.4, 1\/3 in descending order.\nAnswer: 0.4, 1\/3, 0.3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71894 is divided by 35868.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-9 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.64 times 0.03?\nAnswer: 18.4092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*u + 23. What is the common denominator of u\/(-270)*290\/(-4) and 87\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d - d. Suppose 0 = -2*p + d*p - 0*p. Let w(h) = h**2 + h + 6. Give w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-10 + 5) - (22 + (-4 - -13))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 39444874.\nAnswer: 78889748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**3\/3 - 6*u**2 - 6*u. Is m(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 + 27096*f**2 - 45887076*f = 0.\nAnswer: 0, 3387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*h + 3*h - 3*w, -3*h + 90 = 2*w. Let a = -17 + h. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*j + 30*j + 24. What is the remainder when (j\/4)\/(-1)*(-13)\/2 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/119?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 17 + 23 = 0. Let c be (58\/(-3))\/(a\/105). Suppose 3*t + 5*j - c = -t, 4*j = 3*t - 160. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2 + 2)*(-6 + 18 - 8) + (5*h**2 + 0*h**2 + h**2)*(7*h - 3*h - 3*h).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:43 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 437 from -0.5045.\nAnswer: -437.5045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1409 = -u - s + 1408, 0 = 2*u - 5*s - 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11330 - -11317. Is 63 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25843.469 to the nearest ten.\nAnswer: -25840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -175, -293, -427?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 3*h + 3. Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 + -267. What is the smallest value in p, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**3 + 2*h**3 - 3*h**4)*(-11 - 30 + 18)*(-6 + 12 + 2) to the form a*h**4 + j + q*h**3 + t*h**2 + u*h and give a.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -70. Let x(m) = -m**2 + m + 13. Calculate the least common multiple of 28 and x(k).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -21. Let w(v) = -4*v - 6. What is the remainder when w(-7) is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 3*n**2 - 4*n - 2. Let l = -385 - -383. What is h(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 11*d - 1. Calculate p(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110550, 110572, 110594?\nAnswer: 110616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*q + 4*c**2 - 12897*c*q - 98*c + 13*q + 4 wrt q?\nAnswer: -2*c**2 - 12897*c + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 + 2*p + 1. Let o(t) = -13*t**2 - 4*t - 2. Determine -6*o(l) - 11*w(l).\nAnswer: 12*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2999*f - 36098. Determine o(12).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -5*j + 1650. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*h + 3, -2*u = -h + 1 - 16. Let i(q) = -u + 2 - q + 0*q**3 - q**3 + 6*q**2. Suppose -19 = 7*f - 61. Calculate i(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4712 - -8348. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 6*r + 3. Let i be c(-3). Suppose 4*n = 41 - 25. Find the first derivative of -562 + i*f**n + 3*f**4 + 585 wrt f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/15 + 150726*d\/5 + 16722372\/5 = 0.\nAnswer: -225978, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 7*u**6\/3 - u**5\/60 - 97*u**4\/24 - 380*u**2 - 1. What is the third derivative of i(j) wrt j?\nAnswer: 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -4 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {x: 4, g: 1, a: 8}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -294, -585, -876, -1167, -1458, -1749?\n\"Answer: -291*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207968 (base 11) in base 9?\nAnswer: 3856306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-6)\/(-2))\/(126\/(-84))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*i - 4*l, 3*i - l - 7 = 0. Let r be (12\/16)\/((-12)\/(-32)). Solve -p - r = i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 28 = -5*p + 22, 20 = -4*p. What is the highest common factor of 1881 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*z**2 + 5*z + z - 71*z**2 to i + w*z + u*z**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -68*p**4\/5 + 3316*p**3\/5 + 27032*p**2\/5 + 29024*p\/5 + 5376\/5 = 0. Calculate p.\nAnswer: -6, -1, -4\/17, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3567*b**2 + 2*b**3 - b**3 - 3567*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-11)\/9 + 191\/9. Suppose -3*x - 5*u + 0*u = 6, 3*x - 4*u = n. Suppose 2*r - 393 = -x*j, 0 = -3*j - r + 7 + 389. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*(-12)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -692.824 - 1.176. Let b = l + 694.02. Let s be (-1)\/(-3) - (2 + -1). What is the closest to s in -1, b, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = v + 9, -20*o = -19*o + 5*v + 21. Sort o, -78, -19 in increasing order.\nAnswer: -78, -19, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394*(-425)\/(-9) - (-440)\/990 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 41. Suppose 13*u = -0*u + n. Let s = u + 76. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) 186 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*(-38 - -29). Suppose -p*f - 8 = -7*f. Let l(t) = 2*t + 6. Let g be l(5). Calculate the greatest common divisor of f and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose -j*h + 4 = 22. Let o be (-16)\/6*h\/6. Solve x - 5*i - 20 = -o*x, 5*x + 3*i + 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*i - 17666 = -225*i - 2121 + 19510 for i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 636?\nAnswer: -5\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Suppose -3*n + 2*l - 6 + 54 = 0, 0 = 3*n - 3*l - 45. Let d = 23 - n. Put 0, p, d in ascending order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625431 is divided by 547.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clccmiizmllloll. Give prob of picking 1 z, 1 l, and 1 i.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1506*a*d*n*q**2 + 3*a*d*n - 6*a*n*q - d*n*q + n*q + 243272*q**2 wrt a?\nAnswer: 1506*d*n*q**2 + 3*d*n - 6*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29551994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5531268989 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(500)*-1 + 2) - 5*sqrt(640)\/sqrt(8)*-6) + 0)**2 + -4.\nAnswer: 1280*sqrt(5) + 32060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3456772 (base 8) in base 9?\nAnswer: -1684520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -1.4. Let j be (582\/280)\/((-6)\/4). Let b = -11\/10 - j. Is k less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y. Let o be -9 - -14 - (4 - 0). Calculate v(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 e when three letters picked without replacement from enzbzai.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16185 and 46188753.\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358 - 208. Calculate the smallest common multiple of g and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10 + 11 - 7*z**2 - 6. Let f(s) be the third derivative of -s**5\/6 - 7*s**3\/6 - 16*s**2. Give 5*f(w) - 7*p(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32678, -65354, -98030, -130706, -163382?\n\"Answer: -32676*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7050 = -151*g - 104. Suppose -2*f + 0*f + 60 = 2*a, 0 = 4*a - 3*f - 92. Calculate the remainder when g is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4993091 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9405078896 from -14575.\nAnswer: -9405093471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxxz when four letters picked without replacement from fzzzffzzxxxzxzzf?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 84*f - 14. Give x(2).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 + 4. Let k be g(0). Suppose -2*y - 1 = -s, 2*y - 25 = -k*s + 9. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 605\/563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*1*((-99)\/11)\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3783 + 3782.96469. Let d = a + -560.76469. Round d to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113514, -113516, -113518, -113520, -113522, -113524?\nAnswer: -113526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 825.8656315 from 33.88.\nAnswer: -791.9856315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from oooalopaoopaaso.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 809196 - 171?\nAnswer: 809025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.2, -85, 5 in descending order.\nAnswer: 5, 0.2, -11, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89808211589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 9*w - 10. Let a(t) = t**2 - 2*t + 8. Let z be a(0). Let y be m(z). List the prime factors of (-1 + -3 - y) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l. Let o(d) = -2 + d**2 + 2 + 0*d**2. What is q(o(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5947207 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.3, -4, 1.32 in increasing order.\nAnswer: -4, -0.3, 1\/4, 1.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(-7) + 1\/(9\/(-63)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (1 - 7)) + (5 - (-7 - (-20 + 6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {v: 1, l: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2201*n**3 - 1303*n**3 - n**2 - 1275*n**3 + n**2.\nAnswer: -377*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/123, -4, -166, 0, 1\/2?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 29 - 1)*(-12*a + 301 - 301) + (2*a + 5*a - 5*a)*(-2 - 2 + 5) + 3*a - a - 3*a.\nAnswer: -179*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24*(-18)\/1080)\/(2\/(-85))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28687, 28633, 28493, 28225, 27787, 27137, 26233, 25033?\n\"Answer: -7*o**3 - o**2 - 2*o + 28697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.20405544 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*x = -5, 7002*x = 6999*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -172 - 1 - -62\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 25*q = -8*q + 24*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 26\/5 and 498 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(20) - (sqrt(8) + 2))**2.\nAnswer: 6*sqrt(2) + 17\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2212)\/474 - 50\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14089 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 - 1623*j**2 - 119486*j + 29973 = 0.\nAnswer: -309, -97, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 3*p - 1. Let m be j(-3). Suppose 0 = 5*n - m*n + 9. Suppose -2*b - n*b + 75 = 0. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2 - k + 1 + 3)*(-k - 1 + 1)*(-4 - 7 + 1).\nAnswer: 20*k**3 - 10*k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**2 + 17*c**2 + 11 - 39*c**2 + 18*c**2 as d + l*c**2 + s*c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-9))\/(24\/(-60))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let z(j) be the third derivative of -j**6\/120 + j**5\/20 + j**4\/8 + 8*j**2. What is the remainder when z(o) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 6025 = -7*q. Let v = -400 - -1277. Suppose -v = -6*y + q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4916600 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 166?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - -74. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261954 and 2772.\nAnswer: 523908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -45*c**3 - 3*c**2 + 4*c. Let b be q(-5). Suppose -5*z + b + 4660 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000111110110 + -101111?\nAnswer: 101000111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3780446699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92\/63 + 8\/9. Suppose -4*n + 5*n - 1 = 0. Let s be (-1)\/(-2*n\/4). Which is the nearest to 0.1? (a) l (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*d**3 - 330*d**2 + 348*d - 24.\nAnswer: 3*(d - 2)**2*(27*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoxxxxxxxxoxx. Give prob of sequence xxoo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117864985 is divided by 38380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:32 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2012 - -1505?\nAnswer: 3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.1. Let g = 7.3 - 7.2. Which is the third biggest value? (a) r (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7475.235 - 7497. Round n to one dp.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710869520 divided by 2.\nAnswer: 355434760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**2 + m**3 - 9*m**2 + 14*m**2. Let n be u(6). Factor n*r**2 - 1\/4*r**3 + 0*r + 0.\nAnswer: -r**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -5) + 1*-2. Suppose b = -2*z + 5*m + 5, -z - 31 = -5*z + 3*m. What is the second derivative of -17*v + 7*v**5 + 5*v**5 + z*v wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7870 = 82*g - 87*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 5*k. Suppose 4*d = 7 + 17. Calculate m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -31*j + 1662. Give p(54).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -179, -176, -173, -170?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 28094*p + 3989310. What is o(-142)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12788 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/513 and -79\/90.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let b(f) = -26*f + 8. Let p(n) = -11*n - 2 + 5 + n + n. Let m(j) = 3*b(j) - 8*p(j). Determine q(m(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.1 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10223416 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5824*p + 4*c + 24 = -5820*p, -c = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2169\/156)\/((-2)\/(-24)). Let s = t - 167. Let o = 14678\/11013 - -2\/3671. What is the biggest value in o, s, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -565239.2 - 93\nAnswer: -565332.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5034007.\nAnswer: 11, 73, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/234*(-6)\/(-4). Let p be (-1)\/36 - (-2)\/(-9). Let j = 60 - 62. What is the third biggest value in h, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 117*l + 5026. Determine y(29).\nAnswer: 6679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130224, -129998, -129622, -129096, -128420, -127594?\nAnswer: -126618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455 - 127. Suppose -14*u - w = -18*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 63\/116800 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*f + 46 + 2546*f - 7 - 1270*f.\nAnswer: f + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from jcjjw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -417 and 339?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 5*n**6\/24 + n**5\/12 + 5*n**4\/24 - 5*n**3\/6 - 2*n**2 - 443. Let m(w) = w**2 + w - 1. Determine 5*m(c) - y(c).\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**5 + 2*c**5 - 6*c**5)*(3 - 2 - 2) + (0*c**2 - 5*c**2 + c**2)*(2*c**3 - 5*c**3 + 0*c**3).\nAnswer: 15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 4)*(465 + 5*z - 465).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 + (-2 - -1). Suppose 2*r - 6 = p, 4*m - 4*r = -0*r + 76. Suppose m = 5*f + 2. Which is the nearest to -1? (a) -0.2 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) - (-1)\/2. Let q = -877\/5 - -878\/5. What is the closest to q in 1\/5, f, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1\/(3 + -2)*29?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202000110112200022 + 11?\nAnswer: -202000110112200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31*(102\/1275)\/(2\/(-10)). Let q = 11 + -23. Let d = q - l. What is the nearest to d in 2, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10542424 + -23?\nAnswer: 10542401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 13. Let s be p(3). Let x(z) = z**2 + 5*z - 2. Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f + f. Let t(i) = -i**2 - i. Let l be t(-3). Let w(g) = -g - 4*g**2 - 4*g**2 + 334666 - 334667. Determine l*q(u) + w(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*t - 1)*(-3 + 1 + 4)*(-4 + 6*t + 4) in the form n + f*t**2 + r*t and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*b**3 - 29*b**2 + 2214?\nAnswer: -57*b**2 - 58*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -6\/5 (b) -3\/7 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81.2 - -80. Let j = 2.11 - 0.11. Which is the third smallest value? (a) -0.5 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38961933 is divided by 473.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 14*h + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 196252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/66*2 - (-63250)\/145200. Find s, given that -9\/8*s**4 - 3\/2*s**5 + 9\/8*s**2 - n*s + 0 + 15\/8*s**3 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -2*r**5\/115 - 19*r**4\/46 - 26*r**3\/23 + 139*r**2\/23 - 160*r\/23 + 2437. Let m(k) = 0. What is k?\nAnswer: -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 537088 and 3176.\nAnswer: 213223936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/270 - 85*s**4\/108 - 1136*s**2. Factor w(o).\nAnswer: 2*o*(o - 85)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 45249\/15 + 28\/70 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*g = -7*n + 20, -4*n + 20 = -g. Let d(i) = 5*i - 13. Calculate the remainder when 46 is divided by d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*j**2 - 4 - 50*j**2 - 49*j**2 in the form x + q*j**2 + n*j and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 2. Let p be s(-2). Suppose -2*y - 2 = p, 2*g - y + 5*y + 6 = 0. Let z(r) = -r**3 + r - 1. Let c(u) = u - 1. Calculate g*z(f) + 2*c(f).\nAnswer: f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 17*y**2 + 25. Let s be w(-17). Suppose 0 = 3*b - s - 8. Suppose m - b = 32. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4247010 and 10?\nAnswer: 4247010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*j**2 - 26*j**2 + 118*j**6 - 29*j**2 + 30*j**2 + 79*j**2 wrt j.\nAnswer: 14160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 - 23*f - 46 - f + 0*f + 0*f + (-3 + 2 - 1)*(2 + 2*f - 2) - 2*f - f + f - 2 + f + 2.\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8 + 7 = 0. Suppose -4*x + 2*z = -14, 5*z = 2*x - u - 6. Find the third derivative of -31*w**3 - x*w**6 - 10*w**2 + 18*w**3 + 13*w**3 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffjffjfff. Give prob of picking 1 j and 1 f.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 0*f**4 + 0*f**2 - 4 + 0*f**3 - 4*f + 2\/5*f**5. Differentiate w(c) with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = 0. Let c be (-1 + h)*0\/(-1). Suppose a = -c*a + m - 1, 5*m = 5. Solve 15 = -z - z + 5*w, a = -5*z + 5*w - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 7*l - 6. Let j be f(-5). Suppose -4 = -j*w + 4. Suppose -6 = -4*r + w. What is the biggest value in -2, 2\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10 and 17\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/3 + (-1)\/(-3). Suppose -c*d = 2 + 3. Let g be (-14)\/(-12) - (-2829)\/(-1242). Is g > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - i**4 + 2 + (467*i**2 - 8*i**3 - 467*i**2)*(i + 0 + 0).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13195, 26383, 39551, 52699?\n\"Answer: -10*c**2 + 13218*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0 + 14. Determine n, given that 3 + 3*n**3 - 5 - 2*n**2 + v*n**2 - 48*n**3 + 7*n = 0.\nAnswer: -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 9*u - 3*u)*(-2*u**3 + 3*u**3 + 0*u**3) - u**4 - 2*u**3 + 2*u**3 + (5*u**2 - 3*u**2 - u**2)*(-3 - 2*u**2 + 3).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335437, -335438, -335441, -335446, -335453?\nAnswer: -335462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -211b?\nAnswer: 211b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1855*h**5 - 79*h**2 - 2*h wrt h.\nAnswer: -111300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60 and 3?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10 + 0 - (-3 + 2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -15, d = 2*a - 5*a + 10. Suppose -x = -8*x + a*x. Solve 2*j + c + 0 - 1 = x, j = -c + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjnn when four letters picked without replacement from {n: 5, j: 2, s: 5, b: 2, c: 1, l: 2}.\nAnswer: 5\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 312 - 158. Let w = 34 + -20. Calculate the highest common factor of w and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76, -87, -84, -61, -12, 69, 188, 351?\n\"Answer: l**3 + l**2 - 21*l - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + -92. Suppose -3*o + 8*o + 3*l = -336, -l = -o - b. Let q = 39 - o. List the prime factors of q.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 23\/48, -1\/4, -3, -5, 0 in decreasing order.\nAnswer: 2, 23\/48, 0, -1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-9)*(60\/(-32) + 2). Let k = 5.1 - 0.1. Let n = 7 + -6.5. What is the nearest to h in 3, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {s: 2, k: 6, b: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/6 + 11*y**2 - 961*y. Calculate r(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 9*u**2 - 2*u - 15. Determine o(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**7\/42 + 29*d**5\/20 + d**4\/6 - 38*d**2 + 141*d + 8. What is the third derivative of x(c) wrt c?\nAnswer: -60*c**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22016 + 353. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = 7*y - 1733. What are the prime factors of y?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/4))**(-26)*v*v**(-3)*v*(v**4\/v*v)\/v*(v**(1\/8)*v**(-2\/11))\/(v**(-1)*v)**(7\/6) assuming v is positive.\nAnswer: v**(-2689\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7259.5807 rounded to the nearest integer?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i**2 + 6. Let h be p(0). Let n = h - -5. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o + 8 = 0. Let v be 0\/(-2) + (1 - o). Let h(y) = -y. Let x be h(v). Put x, 5, -2\/7 in decreasing order.\nAnswer: 5, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23689, -24530, -25371, -26212, -27053?\nAnswer: -27894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/3)\/t)**(2\/47))**(-31)\/((t*t**0)**7)**(-40) assuming t is positive.\nAnswer: t**(39604\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.211781392*-0.1.\nAnswer: 0.0211781392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**5 + 40*n**3 - 5*n**3 - 24*n**3 + 132*n**2 wrt n?\nAnswer: -60*n**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 0)*(-3 + 1 + 3)*(-6*w - 2*w - 4*w)*(-1 + 2 + 4)*(40*w + 18*w - 26*w) to d + p*w + f*w**2 and give f.\nAnswer: 5760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 114*w**3 - w**2 - 5*w + 4. Let y be n(1). What is the greatest common divisor of y and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**5\/15 - 107*b**4\/3 + 142*b**3 - 638*b**2\/3 + 1060*b. Determine c so that d(c) = 0.\nAnswer: 1, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:33 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txq when three letters picked without replacement from {t: 1, q: 1, m: 1, c: 1, x: 2, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5436821 is divided by 5436795.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - b = -403, -b = -3*l + 2*b + 306. Solve -2*h + l = 105, -3*z + 2*h = -13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4441*q - 4441*q + q**3 - 28.\nAnswer: q**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 >= -6141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248\/5 - (-2)\/5 is divided by ((-6)\/(-15))\/(14\/595).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18*o - 55. Let i be b(7). Let p = 1269\/7 + i. Is p less than or equal to -2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:01 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3 - 11559*d**2 - 11139984*d - 11128428 = 0.\nAnswer: -1926, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1819259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by (10 - 2 - -4) + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-4))\/(10\/(-200)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(17\/(-12))*(-538)\/(-2152).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27820292 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -38. Let r = 0.002 + -4.002. What is the smallest value in 0.1, u, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*v + 35. Suppose -10*f - 36 = -v*f. Let m(s) = s**3 - 10*s**2 - 16*s - 3. Is 31 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 7*v**2 + 3*v - 4. What is the tens digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320550 is divided by 293.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1578 divided by -1\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lckocokoklclclolckl. What is prob of sequence lool?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12734767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/17 + 388*y**4\/17 + 25346*y**3\/17 + 573824*y**2\/17 + 1073152*y\/17 + 524288\/17 = 0. Calculate y.\nAnswer: -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + a)*(3*a - 3*a - 2*a**2) - 4 + 6*a**3 + 4 + (-2 - 1 + 2)*(-4*a**3 - 2 + 2) - a + a + 3*a**3)*(102 - 53 - 51).\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*u**5 - 3*u**4 - 173*u**3 + 6898*u + 1 wrt u?\nAnswer: 980*u**3 - 36*u**2 - 1038*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3\/4 + 55*l**2\/4 - 205*l\/2 - 700 = 0.\nAnswer: -14, -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1369\/37)\/(-37))\/(5\/((-75)\/282)*5)?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/7 + 458*w**3\/7 - 30564*w**2\/7 + 70720*w - 302848 = 0. What is w?\nAnswer: 7, 14, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -1, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 109 + (-8128)\/448 + -93\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (320\/(-6))\/(539\/(-343)*574\/(-1353))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 454*a - 140*a - 161*a + 19*a**2 - 153*a. Let g(j) = -21*j**2 - j. Determine g(d(f)).\nAnswer: -7581*f**4 - 19*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*q - 17*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-3)*(-27)\/(-18). Suppose -y*i + 1500 = -145. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/39? (a) 1.2 (b) 2\/3 (c) -6 (d) 10 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 72 (b) 5 (c) 0.1 (d) 14\/535\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7604 - 7604 - 4*j. Let r(v) = -4*v - 30. Let d(w) = 4*w + 25. Let m(f) = 6*d(f) + 5*r(f). What is m(a(n))?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-235)\/25 - 15*(247\/39 - 7)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 101*x - 725. What is b(-8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = n, -2*n + 20 = -6*n. Let i = 4 - a. Let h be ((-6)\/45)\/(4\/6). Is i at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (1 - 38 - ((47 - 56) + -13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:23 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/(1260\/(-8)))\/((-6)\/30). Let i = 13 + -20. Let r be (-42)\/(-24)*(-2)\/i. What is the third biggest value in u, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -16. Let d = -35.5 - x. Let v = d - -18. Round v to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3\/(-9) + (-36250)\/(-75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/15)\/b*b)\/b*b*b)\/(b*b**(2\/9)))\/((b**0\/b)\/(b\/(b*(b\/(b\/b**(6\/7)))\/b))) assuming b is positive.\nAnswer: b**(248\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 1. Suppose -4 = -2*k - 2. Let s be l(k). Let v be ((-2)\/2)\/(s - 0). Solve -o + 1 = -v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4)*(3 - (4 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 - 1315*g - 108570 = 0. What is g?\nAnswer: -66, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/601528?\nAnswer: -9\/601528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8\/3 (b) -5\/4 (c) -273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767046 - 4716126 = -24*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 15, 40, 87, 162, 271?\n\"Answer: a**3 + 2*a**2 - 4*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 45 = -y, 0 = 2*a + 5*y + 145 - 115 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/45*0\/3. Which is bigger: q or 2\/2899?\nAnswer: 2\/2899","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**4 + 125*l**3 + 65*l**2 = 0. What is l?\nAnswer: -1\/2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 69881.\nAnswer: 5\/69881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(-2))\/l))\/l**(-7)*l**5\/(l*l*l**0*l))\/((l\/(l**0*l))**(-4\/31)\/(l\/(l**(1\/3)\/l))**(-7\/9)) assuming l is positive.\nAnswer: l**(181\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -16. Let a be 20\/16*(9 - 1). Suppose 0 = 8*y - 10 + a. Put y, 2, b in ascending order.\nAnswer: y, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*y - 12, -39*y - 6 = -42*y - 4*n. What is the smallest common multiple of y and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.91 - 72.89. Let y = -43 - -80. Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1 - f - 15*f**2 + 0 + 28*f**2. Let p be j(-2). Let b = 12 + p. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 - 25*d - 47. Determine k(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19391528 divided by 14248?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*x = 3*x - 261, -3*x = 3. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 416748157 - 416747957.0000259. Let q = -200 + t. What is q rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14764, -59046, -132850, -236176, -369024, -531394, -723286?\n\"Answer: -14761*x**2 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 640891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.008\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (5 + (-8 - 0)). Solve 0 = -u + g - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 5*m - 361*m**3 + 28*m + 351*m**3 as w + x*m + h*m**2 + o*m**3 and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/67329 and -11\/7785.\nAnswer: 58239585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1219653 + 1219654. Let y be 2*(1*2 + -1). Let d(q) = y*q + 4 + 2*q - 3*q. Let a(z) = -1. What is f*d(r) + 6*a(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.6086735 to one dp.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = k - 15, -3*z - 100 = -5*k. Let a be (-8)\/k*(-6 + 5). Does a = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -877 (base 12) in base 6?\nAnswer: -5431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -19 - 35*p + 188*p + 7*p. Is f(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64cd76 (base 15) to base 4\nAnswer: 102110123232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 5*g + 69. Suppose 3*j + 3*u = g, -3*j + 0*u + 63 = -3*u. Let d = 207 + -205. Solve 2*w + 5*m = -18, 0*w - d*w + 5*m + j = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-287)\/205 + ((-5115)\/(-225))\/31.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762853 is divided by 69284.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682567875 divided by 825.\nAnswer: 827355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 20 = -0*m. Let h = -5 + m. Let k be -1 - (5 + h - 12). Which is smaller: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -4*u, 5 = -5*u - r + 20. Let f(h) = h**2 - 2*h - 2. Let x be f(u). Solve -11 + x = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*t - 61, 5*w - 67*t = -66*t + 69. Solve 4*k + 6 + w = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(468) - (sqrt(468)*-1 + sqrt(468) + sqrt(468))**2).\nAnswer: -465 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 201399931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4479.791 decades?\nAnswer: 537574.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 15*i + 4. Calculate the remainder when h(7) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -4\/3 (c) 1042.2 (d) 0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54680 is divided by 7810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 7*i. Let s(p) = -p**3 + p + 5. Let d be s(i). Find the second derivative of d*c + 4*c**4 - 6*c**4 - 3*c wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2 + (sqrt(171) - (sqrt(171) + sqrt(171) + 0 + sqrt(171))) + 5)*-6 + -1 + 3)**2.\nAnswer: -1152*sqrt(19) + 24875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32346988 a multiple of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/60 - v**4\/24 + 112*v**2 - 4*v + 3. Let b(z) = -z + 6. Let g be b(5). Let m be -3*6\/(-9)*g. Calculate x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from rjjhjjrjjhjhrjrj?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7249 and -25944?\nAnswer: 188068056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5307459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564 = -5*l - 4*u, -2*l - u + 244 = -4*u. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*k - 5 = 0, -5*k + 10 = -v + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -176 + 180.53. Let d = a - 4.57. Let h(y) = -y**3 - 3*y**2 + 3*y - 1. Let n be h(-4). What is the third biggest value in n, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 84604074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2, -14966\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 146.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.415 + -0.015. Let y = l + -5. Let w = -0.24 - -0.04. What is the third biggest value in 2\/13, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*q = -450*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 14*u**2 + 12*u + 3. What is p(9)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727*q**2 - 658871*q**5 + 658454*q**5 + 2951*q**2 wrt q?\nAnswer: -25020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -9 - (-119 + 129)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/13 + ((-360)\/(-480) - 258\/(-520))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c + 3. Let f be u(-3). Let g(p) = 4*p**2 + 11 - 3*p**2 + 10 - 25 + 3*p. Let h be g(f). Which is smaller: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - 3*(-1 + sqrt(931)) - (-4 + 1*sqrt(931))) + -5.\nAnswer: -21*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngnn when four letters picked without replacement from {n: 3, g: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let d(n) = 6*n. Let f = 914 + -854. Determine f*t(i) - 5*d(i).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1235568950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s - 568. Let a be x(39). Solve -a*w = -40*w - 32 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3789 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/304 and -109\/684008.\nAnswer: 25992304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22232 + -11920. What are the prime factors of k?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/3)\/(2\/(-7)). Let z be (-4)\/18*(-3)\/j. Let n = 1\/3 - z. Which is the biggest value? (a) 0 (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a**3 - 11*a**2 - 77*a + 8. Is u(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5883*d**3 + 17*d**2 - d**4 + 5886*d**3 + 3*d**2 + (-d - d + 0*d)*(d**3 - 2*d**3 + 2*d**3) + 0*d**3 + 0*d**3 - d**4.\nAnswer: -4*d**4 + 3*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = f + 33. Suppose 2*a + a = 12. Let p(k) = -8*k - a + 3 + 3*k. Let i(v) = -4*v - 1. What is f*p(t) + 4*i(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.4 (b) -2\/9 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i + 4*p + 34, 3*i + 57 = -4*p. Let r = -21 - i. Suppose -r*s = -6*s + 536. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47 - 53390.19.\nAnswer: -53390.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106 - -4. Suppose 0 = -r + 6*r - f. Let u = 5 - 1. Calculate the lowest common multiple of u and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 12020?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24581 = 583*d - 60*d for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29150126 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*p**2 + 9 + p - p**4 + 16 - 40 + 13 to q*p + r*p**2 + n*p**3 + j + v*p**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (6 - (-9 - -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.7 minus -394.2216?\nAnswer: 356.5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-7)*c*c*c)\/c**(4\/7))**(-8\/7)\/((c\/(c**(-5)\/c)*c\/c**(-5))\/((c\/c**(1\/7))\/c**(-2\/7))) assuming c is positive.\nAnswer: c**(-1165\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 676301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((366\/36)\/61). Let a(f) be the third derivative of 15*f**2 - 5\/12*f**4 + 5\/6*f**i + 1\/12*f**5 + 0*f + 0. Determine k, given that a(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/2, 0, 3, 0.04, -3 in decreasing order.\nAnswer: 3, 3\/2, 0.04, 0, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43905*5.\nAnswer: 219525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Let s = 0.64 + -0.14. What is the nearest to 0 in l, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528891465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 599.349 centimeters?\nAnswer: 5.99349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*u - 9439 = 0, 12*u - 10*u + 2 = 0. 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 89339 is divided by 682.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2110752 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3646196 is divided by 11219.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25580 + -25579.7. Let v be (-1)\/(-5) - 1\/5. Which is the second biggest value? (a) l (b) v (c) -66\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -10 - -51 - (-2)\/(-8)*12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 - 39373*h\/4 - 9843.\nAnswer: -(h + 1)*(h + 39372)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.055 times 22\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 - 9 = 0. Suppose 301 = b*t - 137. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, n: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6211.5 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcqt when four letters picked without replacement from ttrcqqqtccrttttt.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48787 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3261\/7 - 65927\/140. What is the common denominator of h and 17\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/456 and 97\/23808.\nAnswer: 452352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-25)\/(-5))*-1. Suppose 0 = -3*o + 2*o + 5. Solve -5*z - 25 = -5*g, q*z + 3*g = -o - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-10 - -16) + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 2524230?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = 2*s. Let h(o) = o - 1. Suppose 58*m - 518 = 4. Let x(k) = 4*k - 5. Give m*h(w) + s*x(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 19 = -5*v. Let y be (-1 - -3)*30\/(-12). Let t = y - -9. What is the remainder when v is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10255 = 3*r - t, 3*r - 3437 - 6810 = -t. Calculate the highest common factor of r and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5\/4 - 16*p**4 - 79*p**3\/2 - 26*p**2 - 15*p\/4 = 0. What is p?\nAnswer: -1, -1\/5, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-4) + (7 - 7). Put -2, x, 0, 7 in decreasing order.\nAnswer: 7, x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 5 = -13*q. Is 887\/2*(q - 2) + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9139400 or -9139399?\nAnswer: -9139399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 76*j + 20. Calculate the lowest common multiple of y(70) and 33.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1115.2359191 to the nearest integer.\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145918889?\nAnswer: 3, 67, 1900363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2962166207 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1476*d. Let k(z) = -4*z**2 - 9*z + 1. Calculate k(h(l)).\nAnswer: -8714304*l**2 - 13284*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20153*x**3 + 14*x - 20152*x**3 - 91*x to the form y*x + l + i*x**3 + m*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.313213544 rounded to five decimal places?\nAnswer: 0.31321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3 - 218*q**2 - 10247*q - 19630 = 0.\nAnswer: -151, -65, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/306*(-88)\/(-242)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -153, -307, -541, -879, -1345, -1963?\nAnswer: -2757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 188 + 5?\nAnswer: 18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 70?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 77.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 5*r**2 + 0*r**2)*(-6*r - 10*r + 11*r)*(-95*r + 130 - 130).\nAnswer: -950*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15399)\/(-63) - (-4)\/7?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - -3) + (-4)\/2. Let b be ((-10)\/(-20))\/(1\/l). Suppose 5*q + 0*q - 4*t = 96, 4*q - 80 = b*t. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 5*z - 36, -2*r = 3*z - 124. Let w = r - -50. Let a = w + -39. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-186)\/(-217))\/((-4)\/14)*(-2)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*t**4 + 25*t**2 - 50*t**3 + 44*t**3 - 25*t**2 to i + o*t + n*t**3 + a*t**2 + j*t**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let o = a + -2. Let h = 91 + -76. Solve -2*q - 3*q - h = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/(-6))\/(((-208)\/(-456))\/13). Let y = w + 201. Let k be 53\/5 + (-8)\/(-20). What is the highest common divisor of y and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = 1. Suppose 0 = -7*i + 5*i + 2400020. Suppose 4*v + 2*d + 3*d = 2399990, 0 = x*v - 5*d - i. Round v to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3473988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104863802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*9\/(-4)*52\/(-390)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42125.19 months?\nAnswer: 3510.4325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7968203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 5*j, 0 = -4*n + 16. Let k be 6\/(0 + (2 - 0)). Suppose k*f - 17 - 4 = 0. Calculate the remainder when f is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*q - 199 - 796 - 97 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 - 23*z + 22. Let b(x) = x**2 + x - 1. Let y(i) = 3*b(i) + s(i). Let a be y(-19). Suppose l = -a + 39. Solve 3*r - 4*r = l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12871\/8 - 1605. Find the common denominator of o and -55\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*z - 32 = 0, z - 4*z = 0. Suppose 3*q + j + 1 = 0. Let x(m) = -m**3 - m - 1. List the prime factors of x(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2136514 + 1090486. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -22. Suppose -l = -5*g - 35. Let j be ((-2)\/g)\/((-1)\/(-12)). What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -358 in ascending order.\nAnswer: -358, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onorvogrnnvnvnmonv. What is prob of picking 1 g and 1 n?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24455 in -1, 2, -5, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33389 - 33384. Let d(b) = -b**3 + 3*b**2 + b + 2. Let g be d(3). Solve -p = -g*f - 5*t, t - 6 = -2*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4368*f - f**3 + 15 - 8735*f - 3*f**2 + 4362*f + f**2 to the form x*f**3 + q*f**2 + o + l*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 5*y**2 + 3*y**2)*(-1 - 2 + 2) - 5*y**2 - 2*y**2 + 2*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, e: 2, g: 1, o: 7}. Give prob of sequence egoe.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1348*f**4 - 301*f**3 + 66182*f**2 + 2*f?\nAnswer: 32352*f - 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 5:30 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 3*o - 1. Suppose -4*d - 3*w + 6 = -w, 0 = -2*d - 5*w - 9. Let u(p) = p**2 - 2*p. Calculate d*u(m) + 2*c(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(270)\/(sqrt(20)\/sqrt(2)) + sqrt(108)*2)\/(-4*1*sqrt(9) - (sqrt(9) - (sqrt(9) + (sqrt(9) - (sqrt(36) + sqrt(180)\/sqrt(5)))))).\nAnswer: -6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, d: 13}. Give prob of picking 1 d and 1 i.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b1 - -3?\nAnswer: -4ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.6 - 19.6. Which is the nearest to x? (a) 3\/4 (b) 4 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-1)\/((-2)\/4 - -1). Which is smaller: -4\/655 or x?\nAnswer: -4\/655","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10428 - -10593. Let r = -9 - -24. Calculate the greatest common factor of m and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 37 - 17. Let m be (3 - 2)*(37 + y). Suppose 87 = 10*f - m. Solve 5*i + 5*z = 0, 0 = -i + 3*i + 5*z + f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - a3?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -113898455 and -113898459 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1535+153177389\nAnswer: 153175854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -128. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 5. Let y(a) = 5. Give -2*l(k) - 3*y(k).\nAnswer: 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 45 = -4*s, 4*c + s - 14 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - 0)*(3 - 4). Let i be -6*4\/b - -3. Suppose i = -5*u + 173 + 87. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 85, -133, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5\/2 (b) -0.01 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(1053) - sqrt(13))**2*3 - sqrt(13)) + (sqrt(104)*-2)\/sqrt(8).\nAnswer: -2*sqrt(13) + 2496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 91\/3. Suppose -j + 83 = 3*k - 258, 4*j = -3*k + 338. What is the second biggest value in k, -2, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5\/3 + 522*p**4 - 104624*p**3 + 18188624*p**2\/3 + 25523744*p + 25950624 = 0.\nAnswer: -2, 138, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.17 (c) 5 (d) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316.7 + -334.03. Let i = k + 0.33. Let q = 11 + i. Sort q, 0.4, 3.\nAnswer: q, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1091*g + 240 = 1106*g. Solve 12 + 68 = g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.5. Let h = -4.1 - g. Put -0.1, h, 2 in ascending order.\nAnswer: h, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1852 - 1852 + 53*z - 317*z + 56*z.\nAnswer: -208*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 246, 3.\nAnswer: 3, 5, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((sqrt(2) - (-1 + sqrt(2) + sqrt(2))) + sqrt(2) + sqrt(2)) + -3.\nAnswer: -8 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1422*q**3 + 1825*q**2 + q.\nAnswer: 8532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -0.5 (c) 132109 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -22. Let t(m) be the second derivative of m**4\/6 - m**3\/3 - 2*m. Let o(f) = f**2 - f. Calculate k*t(y) + 5*o(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5 - 4510*k**4 - 18090*k**3 - 27160*k**2 - 18115*k - 4530 = 0.\nAnswer: -1, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - 1 + 3*p - p)*(270 + 461 + 581) in the form s*p + n and give s.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 107908.4 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8056 less than 3.1?\nAnswer: -1.7056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72, 41, -32, -165, -376, -683, -1104?\n\"Answer: -3*k**3 - 3*k**2 - k + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 2, 0 = -5*x - 5*p + 805. Suppose 54 + x = 2*f. Let g = f + -28. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sxxsxxssjaa?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -s - y, -11*s + 19043 = -2*y + 19053 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193.000005 + -193. What is u rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 28 = 5*i, 5*i - 42 = 3*m - 34 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3351 + 3835. What is the remainder when d is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*f**2*z**3 - 54*f**2 + f wrt z.\nAnswer: 396*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -606 - -2547533?\nAnswer: 2546725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 44 = -5*n - 120, 0 = -5*n + 5*p - 80. Let o = n - -15. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 + -0.03283879319?\nAnswer: 344.96716120681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -144. Let q = 235 + m. What is the highest common divisor of 31 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from ggptpbtgtptptbp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -409, -406, -403, -400, -397, -394?\n\"Answer: 3*a - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/6*(-9)\/(-6). Suppose u*j = 3*v - 2*j + 11, 4*v + 6 = j. Is v bigger than -6\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/6 + 183*s. Let l(b) = -2*b**2. Determine l(h(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12489756 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 3*sqrt(19) + 3 - (sqrt(19) + (sqrt(304))**2*3 + sqrt(19)).\nAnswer: -909 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*a = 40 + 8, 5*r + 2*a = 47. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -90. Suppose -17557 = -g + 4*r, -d*g - 17575 = -6*g - 2*r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {o: 4, l: 3, a: 3, u: 10}.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-63) + 24\/(-14). Let t be 2 + 0 + (v - -4). Solve -5*q = -2*d + 30, -t*d - q = 2*q - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7300919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j)\/j)**40 assuming j is positive.\nAnswer: j**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(12*2\/(-120)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16980 - 3658 + 20888 = -1555*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -731, -1494, -2257?\n\"Answer: -763*b + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2684*r + 228074. Determine a(-85).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1056 and 5016.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i - 37*i - 2399 = 61 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 + 11*r - 10. Let d be c(4). Let f(y) = -3*y**3 - 2*y**2 + 1. Let g be f(-1). Let j = g + d. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 87?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = 3*g + 9, 15 = 5*o. Let b be 381\/(-15) - (-4)\/10. Let m be b\/(-15) + (-4)\/6. Is m equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -14) + 0 + -1 + -19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97430 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39111 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -t + 29, 0 = -4*t + t + 3*b + 75. Suppose -2*s = -s - 3*o - t, 5*s + 2*o = 98. Calculate the highest common factor of s and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9323 divided by -31\nAnswer: -9323\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/40, 3, -7 in decreasing order.\nAnswer: 3, 1\/40, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c + -85?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5892 and 1248.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5295, 9841, 13621, 16635?\n\"Answer: -383*c**2 + 5695*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = 24. Suppose -a*k - 5*p = -185, 6*p - 181 = -2*k + 5*p. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 24578.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -29*k**6\/30 - 2*k**3 + 13*k. What is the second derivative of d(n) wrt n?\nAnswer: -348*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/40 - 23*p**5\/60 + 119*p**4\/8 - 2*p**2 + 43. Find the second derivative of u(l) wrt l.\nAnswer: -18*l - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from yyzttzyzttttzy.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -19, -0.4, -22\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - m - 12. Calculate c(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 5*z**2 - 101 - z**2 - 113.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-4))\/(g**(10\/9)*g*g))\/((g*g\/((g\/(g*(g\/g**(10\/7))\/g))\/g)*g)\/g*g*g\/(g**(-2\/19)\/g*g)) assuming g is positive.\nAnswer: g**(-2140\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -114.58.\nAnswer: -11.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122.1 + 124.1. Which is the nearest to -2\/5? (a) w (b) 0 (c) 0.2 (d) -0.171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 230306584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.34 + -5.41. Let w = u + 0.75. Which is the closest to 0? (a) w (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 1 (c) -12 (d) 5 (e) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 301 from 0.119.\nAnswer: -300.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11 = 9. Let n be (-2 + 6)*2\/l. Solve 0*s + n*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 - 0.86. Let c = 1.6 + t. Which is greater: c or -0.14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 9430230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8442 + 8606. Put -0.09, 0.5, l in descending order.\nAnswer: l, 0.5, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -516233*r**3*x + 6*r**2*x + 1717*x - 3 wrt r.\nAnswer: -3097398*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1360\/2210)\/(69023\/(-9867) + 7).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:00 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.1 + -20. Is 16 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 4*o + 47. Let l be k(-5). Factor 5*x**2 - 120 - 166*x - 5*x**l - 4*x**2 + 42*x.\nAnswer: -4*(x + 1)*(x + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*r*x*z**2 - r*z**3 - 220*r*z**2 - 2*x*z**3 + 2*x with respect to x.\nAnswer: 11*r*z**2 - 2*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 2. Which is the nearest to 2\/3? (a) t (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b + -8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 179*j**2 - 2*j + 2. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 258485489.\nAnswer: 258485488.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 2\/11 (c) -4\/3 (d) 7\/52 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*c**3*u + 16586*b**2*c**2*u - 2*b*c**2*u - 10*b + 6*c**3*u - 50*c**3 wrt b?\nAnswer: 6*c**3*u + 33172*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 117?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4098 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-196)\/(-6)*3. Let n = -57 + o. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-4 + 2) + -4. Let x be 2\/6*6\/1 + v. Solve x*i + 14 = 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*s = -2, 612 = w + 2*s + 622 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - (-4 + -2)) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/3 + 282128*h**2\/3 - 2257120*h\/3 + 1504768 = 0.\nAnswer: -141072, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*a - 20 = -2*a, 0 = -3*f - a + 10. Suppose f*b + 0*b = 0. Let w be 0\/3 + 4 - b. Solve 0 = -w*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(3)*-6)**2 - (sqrt(3) - 6*(-3 + sqrt(3)))) + (-5*sqrt(12)\/sqrt(2))\/(sqrt(8)*3).\nAnswer: 25*sqrt(3)\/6 + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1144458680*l**6 - 2*l**2 - 611*l - 28252.\nAnswer: -137335041600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 237192425 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1850)\/222)\/((-1)\/(-3))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19728497 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2061.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 19 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1252 and 1\/14.\nAnswer: 8764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 19*v - 15*v + 70 - 18, -4*x - 48 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/2 - -9\/16. Is b greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + r**3)*(-7 + 2 + 3)*(7 - 1 - 2) to the form p*r**2 + a*r**3 + o*r + t and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6 + 6 + 51*t**2 + t**3 - t - 19*t**2 - 9 - 27*t**2. Let c(y) = -4*y + 3*y + 3*y + 11. Let d be c(-8). What is z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 95?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.3 (c) -11.48153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177810909 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-l**3 + 0*l**3 + 4*l**3) - 7*l + 8*l**3 + 3*l + l as v*l**3 + h*l**2 + w*l + y and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4954.096 micrometers to meters.\nAnswer: 0.004954096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -91, 2, -365, -225, 1 in ascending order.\nAnswer: -365, -225, -91, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - 2*b)*((3*b - 2*b - 2*b)*(-4 + 16 + 6) - 1 + 1 - b).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (sqrt(156)*-2*-4*4)\/(1*(sqrt(12) - (sqrt(12) - sqrt(120)\/sqrt(10)))*3).\nAnswer: -5 + 32*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/267 and -137\/2136.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/3, -16 in ascending order.\nAnswer: -16, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 38513 in increasing order.\nAnswer: -1, 8, 38513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 3*s + 22*s - 4*s.\nAnswer: 21*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3440674704.719285 - -3440689205. Let h = -14570.281 + x. Let i = h + 70. Round i to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ici when three letters picked without replacement from ijjjiiiijiiicijiiji?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 83 - 91. Let w(v) = -2*v**2 + 22*v - 44. Let t be w(l). Solve -2*n + 2 = -t*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 3) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 7572657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1\/5, -0.1, 5, -3 in decreasing order.\nAnswer: 5, 1\/5, 0.03, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Let i = -2603\/2 + 1301. Is u > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 8. Calculate w(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324712 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255103.\nAnswer: 71, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-4)*((-884)\/26 - -88 - 34)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15740108900 to the nearest one million.\nAnswer: 15740000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.1586 micrograms to kilograms.\nAnswer: 0.0000002811586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-14)*y*y)**(-31) assuming y is positive.\nAnswer: y**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424779 = 4*j - 4*i + i, -2*j - 2*i = 212400. Let c = j - -72197. Round c to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/4 - 215*t\/2 - 46225\/4 = 0. Calculate t.\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -56*c - 4. Calculate the remainder when o(-2) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -36*l - 1. Give y(4).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 4.68, -0.02152?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 12) + 2 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -1\/6*t**2 + 0 - 2\/3*t = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -0.5, -4, 0 in increasing order.\nAnswer: -4, -0.5, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**3 + 2*l**3 + 4*l**3 + (2*l**3 - 2 + 2)*(4 - 2 + 0) + 3*l**3 + 20*l**3 + 8*l**3 - 4 - 6*l**3 + 4.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/8 + (-2)\/(-8). Let t = -2095.7 + 1922. Let z = -174 - t. Which is the fourth biggest value? (a) g (b) -2\/17 (c) 1\/5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let k be (7 - 0) + (6 - 10\/15*6). Is z < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-14) + (-6)\/(-21). Let q(n) = -6*n**2 - 582*n - 583. Let s be q(-1). Sort -2, -1, s, p in descending order.\nAnswer: p, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/3445 and -73\/417110?\nAnswer: 5422430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 14*g - 34 + 11 - 16.\nAnswer: -14*g - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 5*c - 3*c, -3*o = 2*c. What is the second derivative of -2*m**3 + 2*m**c + 9*m - m**3 + 0*m**3 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11218947 is divided by 15453?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 plus -0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4\/5 + 144*t**3\/5 + 567*t**2 = 0. Calculate t.\nAnswer: -15, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 37\/54176 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82185 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -774*k**3*m**3 + 5*k**2*m**3 + 13*k**2*m**2 + k*m wrt k.\nAnswer: -4644*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 10.0123. What is z rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.32 - 155.68. Let p = 272199 - 272357.907. Let c = d - p. What is c rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/3))**(-5\/3)\/((s*s**(-1))\/(s*s**(2\/7))) assuming s is positive.\nAnswer: s**(11\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-3*i + 2*i + 0*i) - 6 + 3*i + 6 - 5 + 2*i + 5.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 2 d when four letters picked without replacement from {j: 1, d: 2, t: 7, z: 2, x: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 2. Suppose -r + 0*r = 3*i - 12, -r + 18 = 5*i. Let f be b(i). Let u = -3 + 7. Solve -a + u + f = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 5:37 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-5) - (-56)\/70. Let o be (2\/10)\/(a\/45). Factor -29\/2*c**2 - 8*c**5 + 12*c**4 - o*c + 15\/2*c**3 + 9\/2.\nAnswer: -(c - 1)**3*(4*c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 358051797. Suppose 27750599 = -4*c + b. What is c rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 820, 3276, 7370, 13102, 20472, 29480?\nAnswer: 40126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*s + 1. Suppose s*m = 5*m, -5*u + 75 = 3*m. Calculate the highest common divisor of u and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 - 74. Let w = s + -83.9906. Round w to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029418 rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*w*x**2 + w + 67*x**2 wrt w.\nAnswer: -7*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Suppose -8*n + 8 = -0*n. Let o(d) = -n + 15*d + 2 + 2 - 5. Let u(h) = 44*h - 7. Let z(t) = -7*o(t) + 2*u(t). What is w(z(x))?\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnunnnnnnnnnnunnnn. Give prob of picking 2 n.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/7 (b) 35\/2 (c) -0.3 (d) -5 (e) -139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -4)*(-88)\/(-110)*(-5)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 172*w**2 + 3*w - 1. Let i(r) = -170*r**2 - 2*r + 2. Determine 3*i(x) + 2*m(x).\nAnswer: -166*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35494 - 35498. Which is the closest to -1861? (a) o (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1447832 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157453 + 1838853. Round c to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -12*v**2 - 2*v**4 + 8*v**2 + 6*v**4 + 2*v**2 - 7*v**3 = 0?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4*j. Let a be v(-3). Calculate the remainder when (-33 - 4)*a\/(-3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2736) + (-1 + sqrt(2736) - sqrt(2736) - sqrt(2736)))**2 + -5*(sqrt(2736) + -1).\nAnswer: -60*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 4*g**2 + 13*g**3 - 3*g**2 + 3 + 2*g**2 to a*g + w*g**3 + k + n*g**2 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = 4*f - 9*f. Is 35 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 6*a**2 + 3*a - 15. Let v be b(6). Solve 4*w - 10 = -4*j - 2, -v*w = -5*j + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/20 - 6*2\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 25 - 466*v - 260*v.\nAnswer: -722*v - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*x + 5*n, -3*x + 15 = 2*x + 5*n. Suppose x*f - 1926517 - 1037053 = 0. Suppose 12714 - f = -2*s. Round s to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7096*f. Let u(k) = -2*k**2 + 4. Give c(u(z)).\nAnswer: -14192*z**2 + 28384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-15*y + 11*y + 10*y) - 4*y + 2*y + y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28152, 28149, 28134, 28101, 28044, 27957, 27834, 27669?\n\"Answer: -g**3 + 4*g + 28149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 21 = 1. Solve 2*w - 6 = 3*p, -5*w - 5*p - r = 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*y - 26, 7*r + 7*y + 252 = 106 + 104 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5474 (base 10) to base 13\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 167*s - 166*s = 153, -c - 3*s = -30. Let j = 0 - 0. Suppose 4*y - 106 - 46 = j. Is c equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5))\/h**5*h*(h**(-4\/9)\/h)\/h*h*h**(-4)*h*h**(1\/4)*h*(h*h**(-5))\/h*h**(-1\/9)*h**(-4\/3) assuming h is positive.\nAnswer: h**(-635\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) + (sqrt(75) - sqrt(75)*1))**2) + -3 + (1 + sqrt(300))**2*3 + -3.\nAnswer: 65*sqrt(3) + 822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - -1a70?\nAnswer: 1a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35599, -35597, -35595, -35593?\n\"Answer: 2*w - 35601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002 (base 3) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4\/7, -2\/3, 3 in ascending order.\nAnswer: -4, -2\/3, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 6:56 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 + 2*u - u**3 - 2 - 6*u**4 - u + 9*u**2 + 6*u**4 to m*u**4 + a*u + z*u**3 + t*u**2 + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -69.337. Let q = s - 0.837. What is the nearest to 5 in 0, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/21 + (28 - 24).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w. Suppose 0 = -h + 5*l + 6 + 1, -4*h = -4*l - 76. Let p(g) = -44*g - h*g**2 + 83*g - 39*g. What is c(p(x))?\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 + 21 = 0. Let g = 13 - f. Let i = g - -2. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -0.68267?\nAnswer: 0.57267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 - 96*g**2 - 553*g + 99. Calculate t(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let a(u) be the second derivative of -3*u - 4\/3*u**4 + 0*u**3 + 0*u**2 + 0. Give r(a(p)).\nAnswer: -256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3123, -5112, -8427, -13068, -19035, -26328?\nAnswer: -34947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-194)\/2328)\/(-13 - 1155\/(-84)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*m**3*s**2 + 13*m**2 - 2*s**2 + 3 wrt m.\nAnswer: -15*m**2*s**2 + 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276137688 by -92045896.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -22*h + 700. Solve t + 15 = 3*p, -p - 4*p + 4*t = -h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 66*q - 945. Let w be u(-45). Solve -218*j + 215*j - 9 = w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z = 88. Let f = -3 + -1. Calculate the smallest common multiple of z and ((-36)\/8)\/(3\/f).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h. Let z(b) = 28096*b**2 - 58052*b**2 + 28796*b**2. Calculate z(w(k)).\nAnswer: -29000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -l - 2*l. Let s = 43 - l. Suppose -4*r = 3*p - 222, 5*p - 528 + 158 = 2*r. What is the remainder when p is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 4*a + 0*a**2 + 27 + 9*a - 18*a. What is the units digit of l(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyoy when four letters picked without replacement from uyuuuuyuuyyouooo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 17. Let y(i) = 18*i**2. What is y(m(d))?\nAnswer: 18*d**4 - 612*d**2 + 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -34\/2075 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4\/y)\/y*y**(-9))**(1\/2)\/((y\/y**(1\/2))**21)**(1\/2) assuming y is positive.\nAnswer: y**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 49*s**3 - 6*s**2 - 8*s - 1. List the prime factors of p(4).\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**3 - 404*a**2 - 7*a + 48 wrt a.\nAnswer: -30*a - 808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 3*g + 1586. Let y = -249 - g. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 36 + 204. What is the highest common factor of 24 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itytyyiiyi. What is prob of picking 3 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-2376)\/63)*-3*-20\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q**2 - 452 + 3*q**3 - 9*q**2 + q + 446 + 8*q**2 - 2*q as y + d*q**3 + r*q**2 + p*q and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvhv when four letters picked without replacement from {h: 2, v: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 5. Suppose 0 = -0*u - 5*u + 20. Suppose 3*d - u = 5. Let t(q) = -q**2 + 3. Give d*j(l) + 5*t(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 655 in increasing order.\nAnswer: -1, 3, 655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, -22, -68, -132, -214?\n\"Answer: -9*n**2 - n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, x: 15}. Give prob of picking 4 x.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0252 - -13.2348. Let k = -0.26 + m. Let j = 12.9 - k. Do 20 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*x + 145*x**2 - 2 - 24*x + 1 - 25*x in the form t*x**2 + k*x + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-12 - -12 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcb when three letters picked without replacement from bqcbbbqqcgbbcbgqb?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211011 + 21?\nAnswer: 211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 432\/(-81) - (-2 + 3)\/(-3) - -34. What is the highest common divisor of 899 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(528)\/((sqrt(96) + (sqrt(96)*-1 - sqrt(96)))\/sqrt(8)))\/(sqrt(20)\/sqrt(80) + sqrt(64)\/sqrt(4) + sqrt(16) + sqrt(16) + sqrt(4)).\nAnswer: -1 - 4*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 366432 and 18.\nAnswer: 1099296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -227\/6510 and 77\/124.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-7))*r**18\/r)**13 assuming r is positive.\nAnswer: r**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 278128\/47?\nAnswer: 278128\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2121716 + -2?\nAnswer: 2121714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/11, 0.06, -0.03597?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*r - 6, 0*r + 28497*l - 28496*l = 4*r + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 4 + 4)*(-5*c - 12*c - 5*c) to the form q + x*c**2 + w*c and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1514 and 2512.\nAnswer: 4026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -2 - (-2091 - -2078)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 139.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25598968*n**3 - 1166624*n - 14 wrt n.\nAnswer: -153593808*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 41. Let f(a) = -4*a - 67. Let c(g) = -2*f(g) - 3*q(g). Let r(i) = 3. Let s(d) = -d**2 - 2. Let l(h) = 2*r(h) + 3*s(h). Calculate c(l(y)).\nAnswer: -6*y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 4*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 6*o - 21. Let d(j) = -53*j + 62. Let z(k) = 35*k - 41. Let x(p) = o*z(p) - 5*d(p). Is x(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 512*n**2 - 511*n**2 - 5*n.\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 10, j + 7 - 18 = -4*c. Suppose 3*b = -2*s + 3 + 293, -j*b + 2*s + 304 = 0. What is the highest common factor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*f + 2*f. Let v be ((-18)\/3)\/(-2) + (2 - -27). Solve -12 = f*t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(475)*-1 + -3*2*sqrt(475))**2*-1 + -4.\nAnswer: -23279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18c6 - -4bd?\nAnswer: -1409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -2*x, o + 4 = 2*x. Suppose 5*y = -3*m - 188, -o*y = -4*y + 4. Is -69 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 94.8, 0.223, -1\/3, 0.0216?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 270 = s. Let j = 42 + -28. Calculate the remainder when s is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1052 - -1108. Solve -16*k + l = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) -13 (c) -10\/1811\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**3 - 6*m**3 - 3*m**2 + 3*m**2.\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erbe when four letters picked without replacement from {r: 2, b: 3, c: 13, e: 2}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(3\/2)))\/(m**0\/m))\/(m**(2\/21)*m\/m**(2\/5)) assuming m is positive.\nAnswer: m**(-251\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -41.5. Which is the closest to -1\/2? (a) -4 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 193?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)*r)\/r**(-29))\/((r*r*r**(-14))\/(r\/((((r**(-27)\/r)\/r)\/r)\/r*r))) assuming r is positive.\nAnswer: r**(218\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 6, -6, -3, -29, 2.\nAnswer: -40, -29, -6, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -50\/3*k**4 + 0 - 2000\/9*k**3 - 156*k - 2\/3*k**5 - 1\/90*k**6 - 5000\/3*k**2. Find m such that p(m) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*y**3 + 3*y - 16*y + 2*y**2 + 7*y - 16*y**3 + 1 - 12*y**3 as i*y + d + k*y**2 + o*y**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14423265 divided by -14423265\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4176 and 1276?\nAnswer: 45936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(sqrt(121) + sqrt(121)*-1))\/(3*-1*sqrt(275)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.07 - -1.07. What is the smallest value in n, -0.1, 0.2, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*4\/34 - 144\/(-68). Suppose 0*l - l = q*g - 313, -2*l + 785 = 5*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -9748843*g**2 - 19497685*g + 2 = 0?\nAnswer: -2, 1\/9748843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*a. Let v(t) = t**2 - 6*t - 10. Let h be v(7). Let l be (-1 - 1) + (-12)\/h. Solve -2 = -a*y + l*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157488953 <= 1417400570\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 224718 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14.2 (b) 2\/21 (c) 10 (d) 13 (e) -1\/4 (f) 0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193 + 334. Let q = p + -145. Let w be (3 - 3)\/(1 - 0). Put w, q, 6 in increasing order.\nAnswer: q, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 4, -1392 in decreasing order.\nAnswer: 100, 4, -1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4124336 (base 7) in base 10?\nAnswer: -493751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -15 - (-22 + 7)) + 0 + -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.7 (b) -2\/86905 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984840 divided by -22555?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 22. Let b(q) = 3*q - 43. What is -3*b(k) - 7*v(k)?\nAnswer: -2*k - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 36 - 3\/2*q**2 + 2\/3*q**3 + 0*q. Let o = -1 + 3. Calculate j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4\/7, -1\/8, -14.88?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:16 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 460.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (44\/(-110))\/(2\/(-270)) and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/(-4*((-39)\/(-30))\/(-13))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 24*r - 187. What is l(21)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4908146*w = -4908288*w - 16614 for w.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425686095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832.0662t to grams.\nAnswer: 832066200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 6) in base 5?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(2\/9)\/t*t)\/t)\/(t**1*t*t))\/(t**(5\/2)*t**(4\/3))*(t\/(t\/(t*t**(2\/7))))\/t**(-3)*t\/((t\/((t*t**(1\/5))\/t*t*t))\/t)*t**(-3) assuming t is positive.\nAnswer: t**(-1339\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 100978, 101039, 101100?\n\"Answer: 61*s + 100917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*w - 8*w + 10*w + (5 - 3 + 1)*(-2*w + 4*w + 0*w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*u - 558 = -84*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.55 - 0.45. Suppose -4*d - 3*m = m - 16, 0 = -4*d - 5*m + 20. Which is the nearest to 1? (a) 5 (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -361, -68, 2072 in decreasing order.\nAnswer: 2072, -5, -68, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110002002012 (base 3) in base 14?\nAnswer: 628b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 12*c + 23*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 + 405\/4. Let v(q) be the first derivative of a*q**4 + 4\/3*q**3 + 4 - 7\/2*q**2 - 6*q. Determine v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 - 84*z**4 - 688*z**3 - 2736*z**2 - 5248*z - 3840 = 0.\nAnswer: -6, -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (24 - (-2 - (-3 + 10 + -1)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 25253 - 7828 = 0. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*g*s**2*u**3 - 2*g*s + 90*g*u**3 - g*u wrt s.\nAnswer: -164*g*s*u**3 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1267, 2\/13, 4, 0.5?\nAnswer: -1267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:51 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l. Suppose 13 = -6*r + 103. Solve -5*w + l*w = -r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2925 times 140.1\nAnswer: -409792.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*y + 86*y = 39410 + 5964. Suppose x + 2*x = 84. What is the greatest common factor of y and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183746775.\nAnswer: 5, 97, 488143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 566984188 a multiple of 2938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1216)*6 - ((sqrt(684) + 2)**2 + -1).\nAnswer: -687 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1180173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*o = 0, 30 = -7*m + 10*m - 3*o. Suppose -m*f + 63 = -93. Calculate the remainder when 256 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 - -2 - (-5 + 17). Suppose -2*s + 2*t + 78 = 0, -2*s = s - t - 117. Let k = s + j. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4 + 493530*x**3 + 30446235846*x**2 - 30446729378*x = 0. What is x?\nAnswer: -123383, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*f - 534. Let d = f + 152. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0*k**2 + 1\/6*k**3 + 3*k + 0. Let p(z) = z**2 - 1. Let a(c) = 26*c**2 - 13. Let l(s) = a(s) - 13*p(s). Give l(f(y)).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 0, -2 in descending order.\nAnswer: 6, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/279552 and 137\/4712448?\nAnswer: 32987136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*n = 131 + 1129 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*a**2 + 8*a**2 - a**3)*(585 - 3*a - 585) + (-a**3 + 2*a**3 - 3*a**3)*(2*a + 2*a - 3*a) as j*a**4 + u*a + h + z*a**3 + g*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81795 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*y + 2 = 0. Suppose z - y*w - 193 = 0, 203 = 3*z - w - 396. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11214 - 3?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 2:43 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57587 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33378 is divided by 10457?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 27*s - 2474. Give z(-65).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 708 + -712. Is c*(-9)\/(36\/2147) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 9. Let t = 21 - k. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349 - -433. Calculate the greatest common divisor of 3444 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 141*d**2 - 1276*d + 9. Determine m(9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -26.44. Let p = -0.06 + z. Sort 3, -0.4, p in decreasing order.\nAnswer: 3, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/31 and -40\/13?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -26*a**2 - 731*a + 7563. What is x(8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 441\/(-84) - -2 - (-1 - 1)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/2839, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let j be (12\/i)\/(-5 + 3). Let x be 0 - j\/((-63)\/(-6)). Put -3\/2, 0.3, x in ascending order.\nAnswer: -3\/2, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185 + -149. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -1. Let o be (-2)\/(-7) + (-26)\/(-7). Let r = 276 + -830\/3. What is the nearest to r in n, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 2*h. Let r(d) = -d**2 - d. Let j(s) = -s**3 + 4*s**2 + 12*s + 6. Let c be j(6). Suppose -c*l - 8 = 22. Give l*r(z) + 2*m(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329 - 1225 - 345 + 170 - 2*q + 3*q to v*q + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + 6. Let p = -60 + n. Put -0.05, -1\/4, p in decreasing order.\nAnswer: -0.05, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/4 + 4*u**3\/3 + 21*u**2\/2 + 4*u + 25. Let a be v(7). Suppose a*z + 3*n = 2828, -z - n + 1414 = z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/5265 and 82\/36474867.\nAnswer: 182374335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*y - 12, 23*q + 18 = 28*q + y. Calculate the remainder when 139 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0*d + 12 = 0, -c + 4*d - 28 = -5*c + 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*r - 505 = -1035 - 1537 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 13*y - 14. Let h be u(15). Suppose 25*f - h*f = 6039. What is the remainder when f is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72308.\nAnswer: 2, 18077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*c + 16, -7*c + 8 = -5*c + 2*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318524 is divided by 439506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + l = -3*h - 51, 4*h = l + 105. What is the highest common factor of h and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 1\/36*d**4 + 9 + 0*d**2 - 1\/18*d**3 + 1\/60*d**5 - 1\/90*d**6 + 4*d. Let u(r) be the first derivative of n(r). Factor u(j).\nAnswer: -j*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2213011000 (base 4) to base 9.\nAnswer: -1252671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 4) + 0 + 3. Let q be 18*((-2)\/5 + (-108)\/405) + 9. Sort v, 16, -1, q in ascending order.\nAnswer: q, -1, v, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 103. Let f(g) = -144*g**2. Calculate f(b(i)).\nAnswer: -576*i**2 + 59328*i - 1527696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a. Let y(h) = h**2 - 3*h - 20. Let l be y(11). Let c(g) = -68 - 2*g - 37*g + l. Determine c(d(p)).\nAnswer: 117*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 1. Let m be l(-1). Let k(y) = -2*y**3 - 98*y**2 + 315*y + 159. Let d be k(-52). Is m != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ca (base 15) in base 13?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, n: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 339278.124 to the nearest 100.\nAnswer: 339300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 435217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/60 - l**4\/4 - 5*l**3\/6 - 2*l**2 - 8*l. Let f(x) be the first derivative of n(x). Determine f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-8)\/14 - (-13)\/((-546)\/(-528)) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58680 + 58677. Let v be 2\/(-6) + (-42)\/(-45). What is the nearest to -0.1 in -13, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8253813.00073 + 8253868. Let y = o - 55. What is y rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5961*r + 90 = 5979*r. Let b(d) = -d**2 + 7*d - 5. Give b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 96759512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1548 - 1553. Put 73, f, 3, -1\/4 in descending order.\nAnswer: 73, 3, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 918, 1834, 2750, 3666, 4582?\nAnswer: 5498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5210 = s - 2*o, 0 = 3*s + o - 15651. What are the prime factors of s?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1086 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-33)\/(-12) - 2) + 0. Let n = -20 + 79\/4. Let z be (196\/84)\/((-1)\/(-3)). Which is the closest to z? (a) g (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 1975*r**2 - 28330*r + 64600.\nAnswer: -5*(r - 2)*(r + 17)*(r + 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b (base 13) in base 7?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10) + (67 - 61).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u - 1279 + 1180 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 111*y**2 - 33*y - 23. Is i(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 0, 31\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 1178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2810658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 867 + -1019. Let f = m + 181. What is the remainder when 52 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 86090, -5, 0.07, -3 in descending order.\nAnswer: 86090, 1\/5, 0.07, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47 - -5)*(5 - 34\/6). Solve 5*s = -4*d - 40, j + 8 = -4*s - 4*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w - 21. Let g be l(10). Let z be g\/(-2) + (-2)\/(-4). Factor z*s - 14*s + s**2 - 17*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.2, 4\/5, 3, 0.4.\nAnswer: 0.2, 0.4, 4\/5, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 2*k - 5*k)*(0*k + 2*k + 0*k) + 6 - 6 - 2*k**2 - 3*k**2 + 5*k**2 - 4*k**2 - 2*k**2 + 2*k**2 + k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/91 and -74\/273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3282 and -81\/620.\nAnswer: 1017420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10942 divided by 1802\nAnswer: 5471\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + g. Let j(w) = 2179038*w. What is j(b(n))?\nAnswer: 6537114*n**2 + 2179038*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z = -26*z + 2*o - 44, -4*z - 46 = 2*o for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5073425 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3144*d**2*i**3 + 2*d**2*i**2*t - d**2*t**3 + 2*d**2 - 3*d*i**3*t**3 + 2635*i**2 wrt i?\nAnswer: 18864*d**2 - 18*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39742 and 5128?\nAnswer: 158968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Find the third derivative of 3*q**2 + 3*q**x + q - 2*q**3 - q wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -4763*p**8\/336 + p**5\/6 + 119*p**4\/12 + 3*p**2 + 2. Find the third derivative of y(j) wrt j.\nAnswer: -285780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510 (base 7) to base 5.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6439.651 kilograms to milligrams.\nAnswer: 6439651000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-210))\/((-4)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1124\/11 + -102. What is the nearest to -1 in x, -0.3, -67?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 8230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2163*j = -28*j - 1529*j - 1102*j + 81974 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/4 of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -d + 6*k + 42, 256 = 5*d - 2*k. What is the remainder when d is divided by (-86)\/(-8) - (-1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*22.8.\nAnswer: 182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - p**3 - p - 11 + 3*p - 3*p**3 in the form y*p + s + v*p**2 + b*p**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 215?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 3*x - 4*x**3 - x**3 + x + 3*x**3.\nAnswer: -2*x**3 + 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/13, -7, 1\/7, 62.385, 1 in descending order.\nAnswer: 62.385, 3, 1, 2\/13, 1\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 46, 25, -14, -77, -170?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -5*d**4\/4 - 3*d**3\/2 + d**2 + 5*d. Let h = -54 - -86. Let q = -38 + h. Let a(i) = -8*i**2 - 5*i + 1. Give q*z(k) + 11*a(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3 - 56016351*u**2 - 336098025*u - 504146997 = 0.\nAnswer: -18672111, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859.\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 1) + 1 + 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7390235*u. Let o(k) = 2*k. Calculate h(o(w)).\nAnswer: -14780470*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/3, 0.08, -0.3, 0.79?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + 10.02. Is x at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 51*b**3 - 2*b**2 - 49*b + 103. Is t(2) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + z**4 + 7729*z**3 - 3*z - 7727*z**3 + 9 - 3*z**2 to the form w*z**2 + m*z + q*z**4 + v + p*z**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**5\/5 + 11*u**4\/2 - 16*u**3\/3 - 20*u**2 + 643. Factor y(b).\nAnswer: -2*b*(b - 10)*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**2*w**3 + 7281525*l**2*w + 6*l*w**3 + l*w - 19*l + 9*w**3 - 756 wrt l?\nAnswer: -8*w**3 + 14563050*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5196, 1856.\nAnswer: -5, 3, 1856, 5196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + f - 3*f = 0. Suppose 3*t - 5*p + 151 = f, 0*t + 17 = -t - 5*p. What is the hundreds digit of 12\/t + 1059\/(-21)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 3. Suppose -28 = -5*o - 3*s, -o + 6*s = s. Let x be g(o). Solve x*w + 2*v = -4, 3*w - 9 = 5*w - 3*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddyyy. What is prob of sequence yyyd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2492 = 15*q - q. Suppose 2*w = 4*c - 92, 11*w - 34 = -c + 6*w. What is the remainder when q is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1515.9 - -1516. What is the biggest value in -3, m, -32?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, -1578, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2701.5 + -2701.7. Sort -27\/41, -2, a in descending order.\nAnswer: a, -27\/41, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Put -0.5, -0.3, i in ascending order.\nAnswer: i, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a7 + 1?\nAnswer: 7a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2*(0 - 4)\/12. What is the third biggest value in w, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/380274990 and 4\/418302489.\nAnswer: 4183024890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25606 - 7*x - 25591 - 3*x + 51197.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 8. Let z = -171396 + 171396.6. Let k = -6 + 7. Which is the nearest to k? (a) 2\/17 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by -98.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3543 divided by -3530.\nAnswer: -3543\/3530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.09 + -0.09. Let q = -4.1 + u. Let m = -0.5 + 0.8. What is the third smallest value in m, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9)*(-6)\/14. What is the nearest to w in -5, 0.3, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**3\/3 - 433812*n**2 + 20163829649*n - 86413756810\/3.\nAnswer: (n - 92959)**2*(7*n - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149899*x**2 + 250647*x?\nAnswer: 299798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 43*x - 18. Let k be z(17). Suppose -2*u - 4*t = -1406, 2*u + 3*t = 3*u - k. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 2*r - 6. Suppose -9 + 31 = g. What is the remainder when (26\/(-2))\/((-11)\/g) is divided by j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j - 144 = -44*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74352 or -74385?\nAnswer: -74385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27452140*v**2 - 934*v + 5073 wrt v?\nAnswer: 54904280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44125 - 44125.2. Let k = -7.7 + 8. Let b = 3 - 7. What is the closest to k in b, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10656455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**3 + 3*c**2\/2 + c. Let l(o) = -4*o + 3 + 3*o - 2. Let k be 6 + (3 - 12) + 2. Calculate k*i(a) + 3*l(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31524 = 58*m - 53852. Calculate the greatest common divisor of 253 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjjjjjjjjjhjh. What is prob of picking 3 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 24*d + 140 = 0, -m + 4*d - 18 = -22 + 42 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 + 20*b**2 - 16*b**2 - 40*b**2 - 2*b**2 + 38*b**2.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 139, -3, 1 in descending order.\nAnswer: 139, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/11 (b) 0.5 (c) 0.078 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/((-8514)\/4042) - 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.8939 + -0.0061. Let t = 61 - 87. Let l = d - t. What is l rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*d**2 - 5*d - 205*d**2 - 346*d**2 + 6*d - 271*d**2.\nAnswer: -607*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*b + 4. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 4593*k**2 - 63618*k + 145632.\nAnswer: -3*(k - 2)*(k + 16)*(k + 1517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 + 12 = -42*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -438, -4, -1352, -0.3, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.3, -4, -438, -1352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 2:50 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-1\/8)\/r))\/r*r)**(1\/22) assuming r is positive.\nAnswer: r**(17\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -143560, -287036, -430512?\n\"Answer: -143476*p - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -16a6?\nAnswer: 16a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3, -2*i + 9 = 5*m - 0*i. Suppose -m*l - 7 = -22. Suppose b + l*g = 38, -2*b + 2*g + 104 = 28. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18182263 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6439225 litres to millilitres.\nAnswer: 643.9225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*(1 + (-26)\/14). Let h(r) = r - 3. Determine h(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-13 - 7 - 2)) + -49.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (1941\/(-6))\/(5\/150*-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1*1\/2. Suppose -5*s - m + 222 = 2*m, -m + 179 = 4*s. Let q be (-1 + -2)*6\/s. Is k < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 2, l: 1, h: 5, s: 6, f: 1}. What is prob of sequence lhb?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189095 is divided by 5884?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 6. Let k(x) = x. Let m(l) = j(l) - 6*k(l). Let y(g) = 5*g - 55. Let w be y(11). Suppose 0 = h - w*h - c - 10, 5*h = 4*c + 47. Calculate m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 13675*g + 27358. Calculate r(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 208\/(-39)*6\/4. Let o be ((-12)\/u*-2)\/(-1). What is the greatest common divisor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 8 = 4*o, -o + 19 = -5*v - 23 + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5 - 403*q**2 + 414*q**2 + 5. Let w(d) = 4*d - 5*d + 2*d. Calculate w(g(f)).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 576, 9, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i - 40. Does 16 divide r(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2, -39 in increasing order.\nAnswer: -39, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 + 1)) + 25 + -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79348705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {l: 1, q: 2, c: 3, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*h + 24, 8*u - 4*h = 3*u + 74. Let v(i) = i - 8. Let z be v(4). Let r be 6\/24 + 1\/z. Solve 3*g + 5*x = -r*x + u, 2*x = -4*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7098 and -3.\nAnswer: -21294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 18*a**2 - a - 15. Let x be d(-18). Suppose 4*n + 4*g = 668, -x*n + 511 = -0*g + g. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*d - 209*d + 4486 = 1358. Solve -313 = -d*z - 175 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -87?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.22 - -59.8. What is h rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 475 + -837. Let a = 134 - w. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9167478*u - 1333 = 9167447*u for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 = 132. Let m = -13 - a. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1537*r + 5. Is z(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 19, 216, 3 in increasing order.\nAnswer: -4, 3, 4, 19, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17593273883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*m - 154 = 188 + 390 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {v: 2, q: 5, f: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*f + 6 = 2*f, -55 = -5*o - 4*f. Suppose -3*b + 0*c + 4*c = o, c - 1 = 0. Find the common denominator of -4*(5\/(-56))\/b and 87\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 + 11*m + 5. Let i(v) = v**2 - v. Let x(t) = 5*i(t) + l(t). List the prime factors of x(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Suppose y*t - 17 = 3. What is the third derivative of -2*l**2 + l**2 + l**t - 2*l**4 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1413 and 157?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37446, 37447, 37448, 37449, 37450?\nAnswer: 37451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25 = 5*l, 0 = 4*l + 2*k + 3 - 11. What is the second smallest value in -0.4, l, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106*h**3 + 25*h + 13*h**3 + 2045 + 104*h**3 - 25*h wrt h.\nAnswer: 669*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -639, -663, -685, -705?\n\"Answer: i**2 - 27*i - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, t: 2, q: 3, x: 1, c: 12}. Give prob of sequence qmc.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13c53a (base 14) to base 6.\nAnswer: 22420412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 595183*r\/2.\nAnswer: r*(r - 595183)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 7*q - 113, -v - q + 175 + 213 = 409 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59180 and 16060?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-21 + 8 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 56. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/17 - -27\/85. What is the third biggest value in -0.7, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by 67885?\nAnswer: 103\/67885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 364*n**2 - 6*n. Let d(j) = 22204*j**2 - 364*j. What is -3*d(u) + 182*r(u)?\nAnswer: -364*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6332\/25, -0.042, -0.4?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 476 or 481?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29773 + 2322337\/78. Let u = 2\/39 - l. Which is the nearest to -1? (a) u (b) 0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -547?\nAnswer: 273.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-6 + 4)*1. Let p be (1 + -1)\/((-2)\/r). Solve p = -2*k + 6*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37845 is divided by 9433?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -21. What is the third biggest value in -1, n, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*r + 263, -80*r - 2*p - 382 = -83*r. Calculate the highest common factor of 16 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5 = x, -3*x - 2*b + 18 = -0*x. Suppose 2*y - 185 = y + x*r, 4*y = -5*r + 635. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1 + 20\/(-12)) + -3369. What is the common denominator of i\/(-1360) + (-8)\/2 and -53\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -308536*k**2 - 31*k + 12193025.\nAnswer: -617072*k - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 66, 120, 176?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 55*o. Let y(u) = u + 3. Let a be y(-2). List the prime factors of p(a).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2468 = -33*n + 18430 - 1112. Calculate the smallest common multiple of n and 3250.\nAnswer: 29250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405 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: Factor v**2\/4 - 90090*v - 360361\/4.\nAnswer: (v - 360361)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 - (-8 + 3)) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + -627\/5. Which is the closest to 0? (a) 6\/11 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*q - 2*q. Let x be q\/(-5) - (-77)\/55. Let g(j) = 3*j + 4. Let a(y) = -4*y - 5. Let o(r) = 4*a(r) + 5*g(r). Give o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/20 and (-3 + 204\/(-132))*(-1)\/(-4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13426615 + 2?\nAnswer: 13426617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779771 is divided by 3377?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 127811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5164*w + 4937 + 2710 - 998*w - 8275*w wrt w.\nAnswer: -14437","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/3 + (-4)\/3*-1. Find the common denominator of (9\/7)\/(-1) - 3\/(-6) and m\/12 + (3430\/48)\/(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 31*z - 45 = 214 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-69)\/(-18) + (-1)\/(-6). Suppose 0 - z = -2*b. Let p(s) = -3*s**3 + 2*s + 2. Let t(l) = -l - 1. Give b*t(x) + p(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1022 + -994. Suppose 3*s - 196 = 2*s. Calculate the greatest common factor of l and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669124*z**4 + 12050776*z**3 + 8189959952*z**2 - 80098272*z + 195840 = 0.\nAnswer: -102, 2\/409, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6731695.9808 + -6\nAnswer: 6731689.9808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 145744*j**2 - 291515*j**2 + 145773*j**2. Let c(x) be the third derivative of 0*x**3 + 0*x + 0 - x**2 + 1\/8*x**4. What is c(t(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.356813km to millimeters.\nAnswer: 1356813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -28. Suppose 220 = -i*a + 2*a. Find the common denominator of 10\/a + 2234\/308 and 63\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*g + 859 = -23009 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 598 and 569.\nAnswer: 340262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 978.6872l?\nAnswer: 978687.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20888 + 20806. Which is bigger: -1051\/13 or o?\nAnswer: -1051\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*n - 10, 276*m = -n + 275*m + 8. Solve -17*p + 16*p - n = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 - 7*u**4 + u**4 + 8*u**4 - 4*u**2 + 4*u**2 + (-4*u**2 + u**3 + 4*u**2)*(2*u + 0*u + 0*u) + 3*u**4 - 4*u**4 + 3*u**4.\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2. Let h(f) = 12*f**2 - 42*f - 13. Let d(l) = -7*l**2 + 26*l + 8. Let v(k) = 13*d(k) + 8*h(k). Give v(s(m)).\nAnswer: 125*m**4 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6811 and 11.65.\nAnswer: 6822.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -5*r**4\/4 + 130*r**3\/3 - 120*r**2 - 44. Determine z, given that x(z) = 0.\nAnswer: 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/84 + (-110)\/(-88). Let n(b) be the third derivative of 25\/24*b**4 + 14*b**2 - 1\/3*b**5 + 1\/24*b**6 - t*b**3 + 0 + 0*b. Let n(x) = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 67. Suppose -3*o = -3, -8 = -6*z + z + x*o. Let h(g) = z*g**2 - g**2 - 1 - 11. Give h(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x**2 + 23*x + 6. Let q be (-54)\/6*(-2 + 4\/3). Let h(d) = -8*d**2 + 22*d + 5. Let f(v) = q*h(v) - 5*o(v). Find the second derivative of f(g) wrt g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 4 = -u. Suppose u*i - 29 = 107. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.1 + -1.1. Let w = u + -6. Let f(h) = h**2 + 2*h - 3. Let l be f(0). Which is the smallest value? (a) w (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 - -0.16. Let k = -0.03 + f. Put -2, 1, k in decreasing order.\nAnswer: 1, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-14)\/4)*(-24)\/(-210)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4\/3*h**4 - 8\/3*h**2 + 2\/3*h**5 + 0 - 2*h**3 + 8\/3*h = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/30 + 3*a**2. Let q(g) = 2*g. Give b(q(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let p(s) = 112*s + 87*s - 249*s. What is p(a(r))?\nAnswer: 150*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)*u*u**(5\/7))\/(u**(-18)\/u**(2\/15)) assuming u is positive.\nAnswer: u**(2147\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 64. What is the highest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - k - 2. Let i(s) = -4*s + 23. Let o be i(6). Let y be q(o). Solve 0 = 4*j - j - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3634 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {y: 12, u: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a + 243 = -243. Let m = 285 - a. List the prime factors of m.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.305. Round s to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h**3 + 1. Let r be n(-1). Suppose 11*x = r*x + 44. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.82 + -0.18. Let a = o - -8. Let c = -0.9 - 1.1. Sort a, c, -1.\nAnswer: a, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 3:11 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0 + 0)*(k - 2*k + 2*k + 2*k + 2*k - 6*k - 2*k + 2*k + 3*k + (-1 + 5 - 2)*(-5*k + 3*k + 3*k) + k - k - k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -10 + 12 - (-174)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 16*f**2 - 12*f + 17. Let u be t(-17). Let m = 102 + u. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 7*b - 2. Let y = 12 - 5. Let c be h(y). Let z = -67 - -69. Put z, 4, c in descending order.\nAnswer: 4, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41494245*b**2*n**3*q + 86*b**2*n - b*n**2*q + 2*b*n*q - 24*n**2*q + 3518*n*q wrt n?\nAnswer: -248965470*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 22*v**3 + 84.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1 + 5*z + z**3 + 2 + 1 + 4*z**2. Let w be q(-3). Put w, 2\/19, -2\/11 in descending order.\nAnswer: 2\/19, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/(y*y\/(y\/y**(7\/5))))**33*(y\/(y*y**(-2)))**(-10)*(y\/y**(-2\/9))**17 assuming y is positive.\nAnswer: y**(-2044\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7. Let z(i) = -i + 8. Give -7*t(u) + 6*z(u).\nAnswer: -6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -1. Let m = -5 + t. Let r = m - 1.000045. Round r to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12 and 17\/5272?\nAnswer: 15816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -356753*z**3 - 291100?\nAnswer: -1070259*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -18*z**2 - 2. Let i be x(1). What is the tens digit of (3\/(-6))\/(1\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 10:16 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2 - 16*i + 2. Let c be v(7). Suppose 3*p + 2*q = 5*p - 866, 0 = p + 3*q - c. Which is bigger: -1\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15471\/80 + 972\/5. Find the common denominator of -21\/22 and c.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2812.2 + -3208. Let a = 396 + v. Put -2, a, -0.05 in ascending order.\nAnswer: -2, -0.05, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 + (-8 - -4 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-2*l - l + 6*l)*(-59*l**4 - 52*l**4 + 117*l**4)*(6 - 4 + 2).\nAnswer: -144*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 15*h + 1 = -59, -t + 14 = -2*h for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**4 + n**2 + n. Let s(v) = -4*v**4 - 10*v**3 - 6*v**2 + 3*v. Suppose -37*q - 39 = -24*q. Let f(a) = q*k(a) + s(a). Factor f(l).\nAnswer: -l**2*(l + 1)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146*-0.5\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*((y\/(y*y**(-1\/9)*y))\/y)\/y)\/(y*y\/y**(-1\/4)))\/(y*y**(-1\/9)*y*y**4) assuming y is positive.\nAnswer: y**(-325\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-9561606.\nAnswer: -28684818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-465*k - 70*k - 389*k)*(4*k - 2*k + 0*k) in the form v*k**2 + d*k + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.691717 and 2.39.\nAnswer: 1.698283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48424, 96849, 145274, 193699?\nAnswer: 242124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 65*v - 64*v + 1 + 0 + 11*v**2. Give w(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -153155*w - 7964049. Give b(-52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*h, 0*h = 5*a - 3*h - 135. Suppose 7*t - 9*t + a = 0. What is the lowest common multiple of t and 39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.066+-0.17\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 - 46\/(-6).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.301 + -0.001. What is the nearest to -2 in -0.5, j, 2\/21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000338437 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719126?\nAnswer: 2, 359563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -27 - 11 - 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from bryvvbvvbyvvbybvvyvv?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 544\/13. Which is the third biggest value? (a) -5 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 + 5*z**2 + 6*z. Let x(w) = -5*w + 4*w**3 - 40 - 4*w**2 + 40 - w**3. Let k(f) = -5*u(f) - 6*x(f). Find the third derivative of k(j) wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39374938?\nAnswer: 2, 19687469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 + 7*d - 1. Let j be o(-5). Let u = 154 - j. Calculate the remainder when u is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.1, -1\/6, -2, 1 in increasing order.\nAnswer: -25.1, -2, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -567 + -483. What is the common denominator of 55\/3 and 2\/7 - (-545)\/t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*h + 62*h - 52. Find f such that h*f**4 + 2058 - 82*f - 206*f + 3*f**3 - 1280*f - 51*f**3 + 420*f**2 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5.6. Let v = 101236 - 101235.8. Sort -4, v, 0.3, j.\nAnswer: -4, v, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 156\/91*-1*42\/(-4). Factor 6*a**3 + 27\/2*a + 3 + p*a**2.\nAnswer: 3*(a + 2)*(2*a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*l - 1480, -3*l + 13*z - 14*z + 880 = 0. Calculate the remainder when l is divided by 161.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2551, -4883, -7003, -8911, -10607, -12091, -13363?\nAnswer: -14423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -4, 6\/517, 1, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104605840?\nAnswer: 2, 5, 13, 1062121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100001010111?\nAnswer: 100001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1551238 or -56?\nAnswer: 1551238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5\/2 - 15645*a**4 - 203661*a**3 + 234948*a**2 + 407319*a\/2 - 219303 = 0.\nAnswer: -14, -1, 1, 10443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1. Let x(p) = -26*p - 5. Let m(l) = -10*l - 2. Let r(o) = 5*m(o) - 2*x(o). What is -r(s) + t(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:17 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 50786?\nAnswer: -50775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**2 + 435*v - 900050 = 0.\nAnswer: -470, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j = 21*j - 161 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x. Let t(z) = 8*z**2 + 2*z - 20. Give g(t(m)).\nAnswer: 64*m**2 + 16*m - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 + 560\/14)*34.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210122012210 (base 3) in base 14?\nAnswer: -b12cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + -8 - (-43 + (161 - 76))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 5*x**2 + 6. Let q be n(5). Solve -3*c - q = 2*t - 0*t, 4*c - 4*t = 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 4*c**2 + 4*c - 4. Suppose -26*f + 15*f = -1254. Suppose -f = 14*m - 44. Let w(o) = 5*o**2 - 5*o + 5. What is m*q(y) - 4*w(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2 + 1053 + 218*b**3 + 22337*b + 3*b**2 - 22337*b wrt b?\nAnswer: 654*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00108969746 rounded to six decimal places?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2076 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 = -4*k + 2*c + 486, 550 = 2*k + 2*c. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 267*s - 14. Let f(h) = -67*h + 3. Let r(l) = -9*f(l) - 2*t(l). Let u = 10 - 9. Is r(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k*k**(-3\/5)*k)\/k)*k)**37*(k**20*k)\/(k*k*k**21*k) assuming k is positive.\nAnswer: k**(281\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 7*v - 5. Let a(f) = -382*f + 9 + 369*f - f**2 - 3*f**2. What is 6*a(h) + 11*q(h)?\nAnswer: -2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 117\/(-6)*(-104)\/2. Suppose -o = -2*o + y. Let i = -473 + o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 69 + 19 = 0. Calculate the lowest common multiple of j and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(152) + sqrt(152)*2 + sqrt(152))*-2)\/(sqrt(8) + (sqrt(8) - sqrt(48)\/(-3*sqrt(6))) - (sqrt(8) - sqrt(288)*-1))*-4.\nAnswer: -1152*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436.734 - 436. Let b = -0.834 + w. What is the second smallest value in -3, -0.3, -6\/5, b?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6, 0*x = x + l - 4. What is the nearest to 0.1 in 3, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 - -4272. Calculate the greatest common factor of 80 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 1952.\nAnswer: -1951.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001000001110011100 (base 2) in base 14?\nAnswer: -55d20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22611586 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmnmmmmmmmn. What is prob of picking 1 m and 1 n?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4845 + -1681217\/347. Let p = -708\/2429 - q. Let l be (-4)\/(-16)*(-4)\/3. Which is the second biggest value? (a) p (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.58396896 rounded to two decimal places?\nAnswer: 6.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*x - 16*x**5 + 2819*x**4 - 2819*x**4 wrt x.\nAnswer: -320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1342440828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261135.\nAnswer: 5, 452227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Let s = 73 + -72.5. Suppose l = -4*f + 1, l - 6*f + 4 = -5*f. Put x, s, l in decreasing order.\nAnswer: x, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 a factor of 863642727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*i + 17 = 2*d, 0 = -i + 4. Suppose -34*l**2 + 2 - 12*l - 192*l**d + 182*l**3 - 2 = 0. What is l?\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 4311587*c**2 - 4647452082016*c - 13942317441792.\nAnswer: -(c + 3)*(c + 2155792)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3332111020 + -23?\nAnswer: 3332110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, 2, -7029, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 3*u**2 - 2*u. What is q(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 13. Let a = x + 8.93. Round a to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -38765740.\nAnswer: 1\/38765740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182*x**3 + 30*x**4 + 2612 + 44*x**4 + 1859 - 75*x**4 + 931*x**3 wrt x?\nAnswer: -4*x**3 + 3339*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-407307.\nAnswer: 81461.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142343122 + -14212?\nAnswer: -142412334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by -1?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 5 = 0. Solve -4*y + 16 = -3*a, 4*a - o*y + 1 = -19 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 3*y - 2*y)*(-1 + 13*y + 1)*(-y + 0*y + 9*y) to the form i*y**2 + d*y**3 + n + x*y and give d.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41.87476 years?\nAnswer: 4.187476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.2923, 0.1 in ascending order.\nAnswer: -16, -0.2923, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 233528190 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b + 3*d + 11, b + 18 = -4*d. What is the third derivative of -4*q**6 + q**2 + q**b + 2*q**6 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t - 63412 = 22486. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 + -0.3. Let y = -576337 + 9800770\/17. Let i = y + -179. Which is the second biggest value? (a) 0 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/15 - 87*y**5\/10 - y**3\/3 - 131*y**2\/2 - 516*y. What is the second derivative of n(f) wrt f?\nAnswer: -24*f**2 - 1044*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244208 and 8.\nAnswer: 244208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16165*t - 507. Is a(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.9 + -101.1. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 - 10*s - 6. Let a be y(3). Let r = 91 + -59. Suppose -r*t + 10 = -a*t. Solve -5*d = 25, 0 = -2*f - t*d + d + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y - y - 3 + 3. Let d(w) = -5*w. Calculate d(v(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**4 - 2*z**4 - z**4)*(-2104 - 2915 - 2933 + 2211 - 1844) to the form n*z**4 + u + t*z + m*z**2 + l*z**3 and give n.\nAnswer: -7585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 + 2*w - 4. Let b(g) = 2*g**2 + g - 1. Let j(t) = 7*b(t) - 2*u(t). Does 3 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 4*d**2 + 4*d**2 + 3*d**2 - 9*d**2 + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881961 is divided by 62997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 8, 142781 = -34*d + 37*d - 2*o. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 10. Let f be j(0). Solve -2*i - 4*x = f - 2, 0 = -3*x - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, 1\/199?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 9*l - o + 771, -2*o = 5*l + 954. Let n be 1512\/l - (-1)\/(-8). Does n = -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 7. Let w(z) = -2*z + 14. Let k(v) = -2*w(v) + 5*y(v). Let h be k(0). Suppose -5*d + 23 = -h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859140 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*m + 7*m - 24 + 18*m + (-2 - 1 - 2)*(-3*m - 2*m + 3*m))*(2 + 0 + 0)*(4*m + 0*m - 3*m)*(3 + 2 - 3).\nAnswer: 64*m**2 - 96*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/124 + (-1)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*v - 1943124 = -4*v, -32 = 4*v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11076 + 555 = -315*r - 4765 + 10939 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 2302?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**4 - q**4 + 0*q**4)*(-1 + 1 + 1 - 1 + 0 + 0 - 3 + 0 + 5 + (3 - 2 + 0)*(3 - 1 + 0) + 3 + 1 - 3) to p + l*q**3 + h*q**4 + o*q + r*q**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = 3*h. Suppose 3*y - h*b = 744, -y + 2*b - 5*b + 260 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*o + 11, -c - 5*o = -4*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 2*l. Let o(r) = 3 - 2 - 2 + l*r**2. Let s = 3 + -4. Determine o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = 5*f. Let o(c) = -f*c + 11*c - 4*c. Let y(x) be the first derivative of x**2 - 1. What is y(o(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*a - 282*a + 86*a + 90*a.\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y - 30. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/(m\/(m\/(m\/m**(-6)*m))))\/(m\/((m*m**1)\/m))**(-2\/3))**(-6) assuming m is positive.\nAnswer: m**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028287 to seven dps.\nAnswer: -0.0000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1622886 + 119?\nAnswer: 1623005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 400, 873, 1538, 2395?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 6096288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1962)\/218*((-176)\/36)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220 - -2232000112?\nAnswer: 2232002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.012 + -170.988. Let k = -343 - s. Let o = k - -169.79. What is o rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*u = 4*u + 8, -1363 + 1367 = -2*y + 3*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.087989 - 4484.\nAnswer: -4483.912011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:59 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**23\/(w*w**(2\/7))**(-4\/35) assuming w is positive.\nAnswer: w**(-5491\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -8*x + 5010. Let b = 1146 - x. Is (b\/4 - 0)*(-1 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5110\/(-105) - (-1 + (-14)\/(-6)). Let s = 53 + m. Solve 4*g + 5 + s = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {h: 2, y: 1, z: 2, b: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32243188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 484300 (base 9) to base 4\nAnswer: 1013100003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 11*z + 20. Suppose 6*m + 21 = -m. Let g be a(m). What is the biggest value in -7, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 11. Suppose 5*v = -h*s + 24784, 3*s + 2176 = 2*v - 7746. Suppose 2*m - 1202 = v. Round m to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 13*u = 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1825, -7310, -16453, -29254, -45713?\n\"Answer: -1829*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*(r*r*r**(1\/2))\/r)*r)\/(r**19\/r)*(r**(2\/21))**33)**(2\/5) assuming r is positive.\nAnswer: r**(-201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 404 - 373. Suppose p = 4*j + x - 8, 0 = 2*j + 4*p - 2. What is the third smallest value in 1, j, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/3560 and -121\/3084.\nAnswer: 2744760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 2. Let t be -16 + i\/(0 - 1). Let z = -14 - t. Solve -q + 0 = -3*b + z, -3*b + 11 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 22*s**2 - 20*s + 13. Let k be x(-21). Let i(w) = w**3 + 12*w**2 + 16*w - 11. Is i(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)*b)**(1\/4))**18*(b**(2\/3)*b\/b**1*b)**(1\/20) assuming b is positive.\nAnswer: b**(137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023193397 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b + 7*b - 12*b. Let l(k) = 6*k. Let i(g) = 5*l(g) - 4*o(g). Let c(w) be the third derivative of 7*w**4\/8 - w**2. Calculate c(i(f)).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 22*n = 24*n + 816, 12 = -4*n. What is the remainder when y is divided by 60?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3*-3)\/((-4)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5 (c) 0.12 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 less than or equal to -5\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 142188 divided by -3\nAnswer: -47396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -820624 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1339 - 18?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 1:54 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let v = 94.5 - 94.5. What is the second biggest value in v, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-10*4\/(-16). Let c = 6 + d. Let o(t) = -t**3 - 6*t**2 - 2*t. Let r(p) = 3*p**3 + 17*p**2 + 6*p. Determine c*o(g) + 4*r(g).\nAnswer: g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1760 - 23014?\nAnswer: -21254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29082*g + 13285 wrt g.\nAnswer: -29082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:38 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 11 - 7)*(3*q**2 - 24*q**3 - 3*q**2).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28524*r**3 + 28524*r**3 + 28527*r**3 + 28527*r**3 - 171115*r**3 + 28523*r**3 + 28498*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5))**(-6\/25) assuming o is positive.\nAnswer: o**(6\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 247 = 2*o + 5*a, -o + 2*a = -84. Let v = -23 - -134. Calculate the highest common factor of v and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j*j\/(j*j**47*j)*j)*j*j*j**(14\/5))\/(((j*j**9)\/j*j)\/(j\/(((j**(13\/2)*j)\/j)\/j)*j*j)) assuming j is positive.\nAnswer: j**(413\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81918 and 13355586.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 19*g + 95. Suppose 34 = 4*s + 14. Let n(z) = -3 - z + 4 + s. Give n(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5053681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 42*f**2 - f - 1. What is i(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 2*s**3 - 17*s**3 + 10*s + 6*s**3.\nAnswer: -9*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57, -96, -113, -96, -33, 88, 279?\n\"Answer: 2*u**3 - u**2 - 50*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (427 - 423 - (1 - (-2 + -6))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, v: 5, y: 4}. Give prob of sequence yvt.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**5 + k**4 - k**3 - k + 1. Let a(d) = -591*d**5 - 4*d**4 + 4*d**3 - 5*d - 3. Let v(l) = -a(l) - 4*y(l). What is the second derivative of v(c) wrt c?\nAnswer: 11740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*d\/(d\/d**1*d))\/d*d)**10*d\/d**(1\/11)*d**(7\/3)\/d assuming d is positive.\nAnswer: d**(1064\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 3:15 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1633 - -143222?\nAnswer: 145155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q = -41*q + 84. Suppose 184124 + 60673 = q*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 41*x - 8654. What is f(211)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 2*a**2. Let r be c(2). Let u = -151 + 752\/5. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -61. Let x be -1 - 1*-8*(-5)\/d. Suppose -50 = 2*f - x*f. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:42 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96726 is divided by 261.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5946 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 223180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2228547583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15563016 divided by 13724?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66417*g - 4554 = 66219*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 + 1301311*p**2 - 9481778 wrt p.\nAnswer: 3*p**2 + 2602622*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 292165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -2525*q**4\/24 + q**2. Let h be l(-4). What is h rounded to the nearest one hundred?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-42)*2\/1)\/(2\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-54)\/10 - (13 - 10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646 and 4668268.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 32. Let i be (w - -2)\/((-3)\/(-75)). Suppose k + i = 3*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 + 131.5. What is the closest to 0.22 in 4, -0.6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**4 - 153 + 153 + (z - z - z)*(2*z**2 - z**3 - 2*z**2).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:59 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5083008 divided by -672?\nAnswer: -7564","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 113248 divided by -3539?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(112)*-1 + (sqrt(175) - (sqrt(175) - ((sqrt(175)*1 - sqrt(175))*-4)**2)))*6 + -3.\nAnswer: -24*sqrt(7) - 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 440*w**2 - 52*w + 138. What is the tens digit of r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 2*u**3\/3 - 2*u**2 + 2*u. Let b(l) = 4*l - 5. Let i = -446 + 442. Give i*b(q) + 5*g(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -698? (a) 0 (b) -0.3 (c) 2 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -595603\nAnswer: -39\/595603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 - 4*p + 2. Suppose 1 = 9*c - 98. Suppose -c - 29 = -10*h. Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*n - 43 = 0, 13*q - 108 = -965*n + 973*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.108 * 0.3\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 34 = 7*n. Let g = 16 + n. Let m(o) = -5*o. Let k be m(g). Solve -k*y + 16 = -9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2605\/2*m**2 - 37845\/2 + 15\/2*m**3 + 112665\/2*m = 0. What is m?\nAnswer: -87, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, u: 7, i: 2, b: 3}. Give prob of picking 2 u.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031301103113 - 10?\nAnswer: -2031301103123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10729*l + 493 = -10700*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717.154km to nanometers.\nAnswer: 717154000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/5 + 1\/5. Suppose -6*z + 5*z + 1 = 0. Let t be 1*(-1 - (0 - z)). Is n != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8 + 3 + 9). Let p(s) be the third derivative of -5*s**2 + 0 + o*s**3 - 3\/8*s**4 + 0*s. Let y(f) = 14*f - 5. Give 8*p(q) + 5*y(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2106*0.3.\nAnswer: 0.06318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 103477 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 4*f**2 + 2*f. Let b be n(-3). Suppose 0 = 2*o + 4, b*o + 14 + 142 = -3*v. Let t(s) = 20571*s - 41191. Let j be t(2). Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 20 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3129, -15906, -38327, -70392, -112101, -163454?\nAnswer: -224451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 4*r**2 - 5*r**2 + 10*r**2 - 5*r**2 - 8*r**2 - 2*r**2 + 3*r**2 - 3*r**2 + (-2*r + 0*r + 3*r)*(2 + r - 2).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/28 + 894\/7. Suppose -5*n + y = 48. Let t(i) = i + 31. Calculate the remainder when t(0) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/(6\/2 + 6). Which is the third biggest value? (a) -2 (b) o (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -152282.6 and 20982.6245?\nAnswer: 173265.2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-28 - -2). Let r = -139 - -269. Let g be (r\/o)\/((-2)\/3). Is -5 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -252, -251, -248, -243, -236?\n\"Answer: s**2 - 2*s - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41005619.\nAnswer: 23, 251, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/147 - 86\/56 - (-5 + (-2754)\/(-1496))?\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 49*w - 234. Let c be ((-32)\/(-168) + (-3)\/(-21))*66. List the prime factors of n(c).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -692149608395054 and 1.\nAnswer: -692149608395053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4719 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, e: 1, r: 3, i: 3}. Give prob of picking 2 i, 1 r, and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304911476?\nAnswer: 2, 76227869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 14 + 28)*(-4*f**3 - 2*f + 2*f + 2*f - 2*f - f**3 - 2*f**3 + 0*f**3 + 3*f**3 + (2*f**2 - 3*f + 3*f)*(0*f + f - 2*f) - f**2 - f**3 + f**2).\nAnswer: -217*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + 2 - 3*p + 0*p**2 + p)*(-4*p + p + p) as v*p**2 + f + o*p**3 + w*p and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 15*i - 43\/2*i**2 + 2 + 29\/6*i**3. What is the first derivative of m(l) wrt l?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 3\/2, -35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + 0*r**4 - 3*r**4)*(57*r - 125 - 114 + 261).\nAnswer: -114*r**5 - 44*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17634 + 40398 + 54834 + 2*r - 12419.\nAnswer: 2*r + 65179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2338 - 1850. What is the highest common divisor of 183 and y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y**3 + 88*y**3 + 40*y - 16*y**2 - 47*y**3 = 0 for y.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2216 and 768398.\nAnswer: 3073592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -595 - -639. Let i(t) = -x*t + 15*t + 10*t + 17*t. Let y(d) = 190*d**2. Give i(y(p)).\nAnswer: -380*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2688 + -24157\/9. What is the common denominator of f and 37\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 4. Suppose -4*i + 2*v + a = -2*v, -v - 9 = -3*i. Suppose -2*b + i*b = 16. Solve 2*u = d - 2*d + b, -d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 12 = 14*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4\/7 + 48*j**3\/7 + 51*j**2\/7 = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152390568 to the power of 1\/2, to the nearest integer?\nAnswer: 12345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, c: 1, y: 1, t: 2, h: 2, g: 1}. What is prob of sequence gthc?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Let r be 1*w\/4 - (-3)\/(-2). Solve m - 3*d = 5, r = m + 3*d + 9 + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1128\/1584 - 6\/11. Factor 1\/6*f**2 - 1\/3*f + q.\nAnswer: (f - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90539 not equal to -90537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 10*o**2 - 7*o + 19. Let t be a(-10). What is the second derivative of -4 - 10*r + 8*r - t*r**2 + 32*r**2 wrt r?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 39 = -6*u, 5*s + 58*u - 56*u - 55 = 0. What is the remainder when 14803 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 49*s**2 - 33*s - 900. Calculate z(50).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 + 235. Suppose -4*j + i + g = 0, 4*j - 4*i = 14 + 106. Suppose 5*a - j = -8. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9604727255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r**(3\/4))**(2\/21) assuming r is positive.\nAnswer: r**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:58 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -20*h**3 - 4959192*h**2 + 91255760*h - 35708832 = 0.\nAnswer: -247978, 2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639*k + 5*h + 141 = -1641*k, 4*k + h - 3*h = 66 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -16. Suppose -2*p + 6 = -4*c, h = -p + 6*p + 4*c + 27. Let i(t) = -3*t + 4. Let w be i(p). Solve a + 2*v = 3*v - 4, -w = a - 4*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 313, 644, 979, 1318, 1661?\n\"Answer: 2*i**2 + 325*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/5 - 64*n**2\/5 - 62*n\/5 = 0.\nAnswer: -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2955, -5894, -8833, -11772, -14711, -17650?\nAnswer: -20589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 972\/17131 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-24)\/(-9)) + (-9)\/(-135). Factor 0*s + c*s**2 - 1\/5*s**3 - 1\/5*s**4 + 0.\nAnswer: -s**2*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y**4)*((0*y + y - 2 + 0*y)*(-313 - 83 - 122) + (0 + 2 - 4)*(-1 + 1 - 2*y)).\nAnswer: -1028*y**5 + 2072*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7904 divide 2787701280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.70704 and 2.\nAnswer: 1.29296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -184465\/7 + 150522761\/5712. What is the common denominator of i and 95\/306?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -273, 10, -1, -3 in ascending order.\nAnswer: -273, -5, -3, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (2\/1 + 1). What is the tens digit of 8 + 9\/3*c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, 3\/19, -1328?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043730277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 0*r**3 + 0 + 5*r**2 + 1\/24*r**4. Let l(o) = -2*o. Give k(l(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 32182010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.1 + -38.9. Let g = -45.1 - u. Let a = -2.65 - -4.65. What is the nearest to g in 1, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -6*n + 7*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i**3 + 249833 - 249833.\nAnswer: 94*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.281 + -0.397. Let a = -52 + 51.9. Is a smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57800, 115659, 173522, 231389, 289260, 347135?\nAnswer: 405014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2956*d**3 + 4*d + 16957 with respect to d.\nAnswer: -8868*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 35 - 35 + 2*y**2 + 103.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 9. Let r be j(5). Suppose -r*g = 12, -i - g = -6*g - 19. What is the second biggest value in -0.3, i, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 + 280 = 0. Does 7 divide (-1)\/(1\/i*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*x + t + 108, 5*t = 2*x + 69. Let d = 40 + x. Suppose -183 - 161 = -4*f - 4*j, 3*j + 288 = d*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 11*x - 21. List the prime factors of (-214)\/(-3)*x + 24\/(-12).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/5 - 22*i**4\/5 + 123*i**3\/5 - 134*i**2\/5 - 56*i = 0. What is i?\nAnswer: -1, 0, 4, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uululuuuuuuuu. Give prob of sequence uuul.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.016 and -1191298.\nAnswer: -1191298.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(66)\/sqrt(3))\/(sqrt(128) + (sqrt(128) - 3*sqrt(128))))**2 + -5)*2.\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223393252?\nAnswer: 2, 131, 263, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63090*v**3 + 77*v + 188 wrt v.\nAnswer: -378540*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 486 + 14*j - 8*j - 5*j + 21 to the form d*j + l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.2. Let f be 10\/(-2) - 1375\/(-375). Which is the closest to 0? (a) 3 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/24 + 22\/3. What is the third derivative of -2*i**2 + 2*i**2 + 0*i**6 - 8*i**2 + d*i**6 wrt i?\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 97120 = -13972. Suppose -2426 = n + v. Round n to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -712, -1611, -2878, -4519, -6540?\nAnswer: -8947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 79. Let f = 50 - o. Let v = 61.4 + f. What is v rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 9.8, -711, -4 in descending order.\nAnswer: 9.8, -3\/5, -4, -711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 423.3 + 0.00621\nAnswer: 423.30621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19321\/(-11120)*((-438)\/7 + 0). Let d = -757\/7 + g. What is the common denominator of d and 111\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 5*f**4\/24 + 25*f**3\/3 + 30*f**2. Let v be r(-10). Solve -d - d - 10 = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301303011 (base 5) to base 11.\nAnswer: 748575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - -25 - (1 + (0 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l - 8. Let a(t) = -2*t - 3. Let j = 10 + -20. Let m be (-1)\/(-2) - (-115)\/j. Give m*a(f) + 4*o(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1990 and 1060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.8, -7\/31, -1, 1, 2\/13?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*t**5 - 2*t**4 + 2*t**4 - 25*t**5 + t wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56774 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595074421 to the power of 1\/3, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 10) in base 3?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 17*c**2 + 11*c + 14. Let v(g) = -g**2. Let o(y) = p(y) - 6*v(y). Let d = 6013 + -6025. Is o(d) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -7*k + 132. Let x(c) = -10 + 3 - 4*c**2 + 411*c**3 - 5 + 5*c. Let y be x(k). Round y to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.44 * -283.\nAnswer: 3520.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10620 = -4*o + 9*o. Let l = o + 25445\/12. What is the common denominator of l and 2\/15*(-2525)\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -57 + 103 + 22 + -17 + -15?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99*y + 8*y**5 - 99*y + (y**2 - 1 + 1)*(-3*y**3 + 0*y**3 + y**3).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z. Let n(i) = -41 + 22 + 19 + 2*i**2. Give n(f(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781950 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + -46 + (0 - -6). What is the common denominator of -3\/38 and 35\/(-14)*((-582)\/h - 3)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/38, 3, 2\/5, -1, -0.2, -15.2 in descending order.\nAnswer: 3, 2\/5, 1\/38, -0.2, -1, -15.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110101 (base 2) to base 5.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = 284*v - 224*v + 56. Which is the nearest to -0.1? (a) v (b) -8 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 28 = 2*r, 266 = -2*z + r + 283 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 8*b**2 + 9*b + 14. Let k be f(-8). Let r be k\/4*(7 - -3). Let s = 207 + r. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(133)*3 + (sqrt(133) - (sqrt(133) + -5*(sqrt(133) + sqrt(133)*2 + sqrt(133) + sqrt(133)))))\/(sqrt(252)*-2).\nAnswer: -7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20422831 times -5?\nAnswer: 102114155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(164\/(-6))\/(-1). Let u = -62 - f. What is the lowest common multiple of u and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(245) + -1)*-6.\nAnswer: -42*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-2*-4)**2 - (2 + (4 + sqrt(320))**2).\nAnswer: -64*sqrt(5) + 38382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427245596 to the nearest integer?\nAnswer: 20670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -538. Let d = -543 - s. Let l = 2.2 - 2. What is the fourth smallest value in l, 13, d, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*j + 120 = -66*j + 5746 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let r(k) = -4*k + 3 + 7 + 0*k**2 - 2*k**2 - 6*k. Let m(j) = j - 1. Let q(s) = -20*m(s) - 2*r(s). What is o(q(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147 - 38*b**2 + 22*b**2 + 8*b - 143)*(-b**2 - 2*b**2 + b**2).\nAnswer: 32*b**4 - 16*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -65*d**2 - 610*d + 48416. Determine m(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -77*d + 1. Let w be l(-3). Suppose 74 = 15*o - 16*o - 4*u, 5*u + 208 = -3*o. Let b = w - o. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41271 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -8) + 17 - (6 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/12 + -6*(-3)\/108. Which is the closest to -0.1? (a) 2\/21 (b) -3\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/327 and -79\/24.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196365 and 570.\nAnswer: 392730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97379536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-55))\/(900\/(-1500))?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by 74.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-11 + 8 - -9) + -2 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(110\/(-4)) - 4\/(-22). Let l = -3\/2 + v. Which is the second smallest value? (a) 4\/3 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1642009523451 + -1642009444385.3360601. Let y = m + -79061.234. Let p = 4.43 - y. Round p to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.3455 and 29.1.\nAnswer: 24.7545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - p - 1. Let s be x(-1). Let i(u) = -u**3 - u**2 - 2*u + 1. Is i(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -847 - -1516. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009913261 - -23.\nAnswer: 23.009913261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4970\/(-50) + 100)\/((-3)\/(-170)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:00 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02812 + 0.02812. Sort 1\/2, 0.2, -8\/9, p, 2 in ascending order.\nAnswer: -8\/9, p, 0.2, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -20*f**2 - 5*f + 14. Let z(k) = k**2 + k - 2. Calculate -b(q) - 3*z(q).\nAnswer: 17*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 309 - -917?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.28 - 0.28. Let u = o - 5. Let z(k) = -2*k + 24. Let a be z(8). Put 2\/7, u, a in decreasing order.\nAnswer: a, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8542 divided by 34.\nAnswer: -4271\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21985570 to the power of 1\/2, to the nearest integer?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - x - 1)*(2*x - 2*x - 2*x) + 2*x - 2*x - x**2 + x**2 - 3*x**2 - 3*x**2 - 1)*(11*x + 32*x - 112*x).\nAnswer: 276*x**3 + 69*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1947 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4976 = -2*o + 20900. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 41 = c - i, 5*c - 2*i - 172 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 + 5357\/26. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -7.5. Let q = -13 - n. Let t = q - -7.00044. Round t to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 558266, 1116534, 1674802, 2233070?\n\"Answer: 558268*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Suppose q - 3 = g. Solve 0*b = q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 14208 = -14208. Which is smaller: -1\/26694 or g?\nAnswer: -1\/26694","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + sqrt(3) + sqrt(147) + 4)**2.\nAnswer: 16*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 - z. What is the units digit of g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.3, 0, -0.5, 3, -81?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -155*f**3\/6 - f**2 + 10*f + 6. Let x(s) = 366 - 366 + 2*s. Give j(x(w)).\nAnswer: -310*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfnh when four letters picked without replacement from {h: 2, f: 2, a: 2, t: 3, d: 1, n: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15)\/(6*8\/96)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(500) + 0)**2 + 3 + sqrt(55)\/sqrt(99))*5.\nAnswer: 605*sqrt(5)\/3 + 2535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4330582?\nAnswer: 2, 2165291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 - -89. Let g(r) = -5*r + 1. Determine g(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/27 and (3207856\/(-49266))\/(-92) + 2\/(-3)*1.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*sqrt(1764)*5)\/(4*2*sqrt(7)*5)*-4.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 11:56 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272241, 276876, 281511, 286146, 290781?\nAnswer: 295416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6000726368 to the nearest integer?\nAnswer: 77464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 183, 812, 2021, 3942, 6707, 10448?\n\"Answer: 22*o**3 + 158*o**2 + o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 14. Let m be i(6). Let h be 6\/(-9)*(-9)\/m. Suppose -h*r + 5*c + 38 = 0, 2*c + 8 = r + 5*c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*c - 2 = 0, -27*d = -23*d + 5*c - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -186.92671 times 10\nAnswer: -1869.2671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21651 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.29 - -0.71. Which is bigger: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c**4 - c**3 + 10*c**2 + 12*c + 11. Let n(m) = -m**4 + m**2 + m + 1. Let z(b) = -44*n(b) + 4*y(b). Solve z(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 49*s - 8. Let w(g) = -3131*g. Calculate w(h(d)).\nAnswer: 6262*d**2 - 153419*d + 25048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 200.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s + 102 - 213 = 123 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 7*i**4\/24 - 2*i**2. Let h(k) = -k + 2. Let u(s) = -2*s + 5. Let m(o) = 10*h(o) - 4*u(o). Give w(m(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/(-76)*(1\/5)\/(-9*4\/(-1020)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104621\/79920 + -571\/999. Find the common denominator of f and (27\/175)\/((-6)\/15).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6810 + 6*w - w**3 - 6808 + 4*w**3 - w**2 as q*w**3 + d*w**2 + f*w + v and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 11. Let w be q(-6). Let b be (-1)\/(-5) - (w + -1). What is the nearest to -1 in -4, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50038 and 66586.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -3a?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123821\/56 + 2211. Calculate the common denominator of 6\/329 and s.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 112 = 4*o, 2*v - o + 2*o = 52. Let w = v + -24. Solve 2 = -5*k - x + 16, k + 3*x - 14 = w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*(-5 + sqrt(288)*1))**2 - (((sqrt(288) + -2)*6 + sqrt(288))**2 + -1)).\nAnswer: -13006 + 1536*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**3\/3 + 11*j**2 - 11*j + 1836. Calculate b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3685*y**2 - 6*y. Let q(d) = -9*d**2 + d. Give 2*q(s) + z(s).\nAnswer: 3667*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 + -146. Suppose -y + 5 = 4*y + 5*n, -4*y - n = -o. Which is the fourth smallest value? (a) 5 (b) -26 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11315 and 0.8105.\nAnswer: 9170.8075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2955515.\nAnswer: 5, 113, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/50197325 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 81, 45, -5, -69, -147?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + 18*m + 1. Let f(l) = -l. What is f(a(g))?\nAnswer: 3*g**2 - 18*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddod.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -120484, -241400, -362316?\n\"Answer: -120916*a + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -16*m + 101. Let s be a(6). Solve -2*i - s*z + 9 = 0, -i + 6*i - z = 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81769*x + 1978 + 40884*x + 40884*x.\nAnswer: -x + 1978","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/120*-4)\/((-6)\/8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31932776.\nAnswer: 2, 37, 107881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:13 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 4*t + 20, -2*z = 59*t - 56*t - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47081755 - 47084382 = -37*n for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 16, 19, 22, 25?\n\"Answer: 3*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 66 - 84 = 0. Suppose 0 = 2*f - m - 1. Let x = -96 - -136. What is the greatest common factor of x and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3828 and 84?\nAnswer: 26796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12089, 24256, 36457, 48710, 61033, 73444, 85961, 98602?\nAnswer: 111385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let j(w) = 157*w + 176*w + 114*w - 70*w + 248*w. Give s(j(n)).\nAnswer: 625*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 1434, 2151?\nAnswer: 2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*2*(21 + (-1275)\/60). Solve u*a - j = 6*a + 15, j + 6 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1.8, -3, -0.6.\nAnswer: -3, -0.6, 2\/5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54\/9 - 2*1 and -13*(-2)\/65*435.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45215*b - 32184 wrt b.\nAnswer: 45215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(12)*-2)\/(3*sqrt(16)\/sqrt(4)) - (-6*sqrt(144)\/sqrt(4))\/((sqrt(60)*-1)\/sqrt(5)).\nAnswer: -28*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8151551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 0*l)*(848 + 1540 + 1028 + 50 + 528).\nAnswer: -7988*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 5) to base 6.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:15 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((-30 - (7 - 8)) + 16).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/6 - (-212)\/24. Suppose -z = -2*b + 7. Calculate the smallest common multiple of 18 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9951 + -330?\nAnswer: -a181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (536\/(-12))\/((-6)\/9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z - 8. Suppose 25 = -5*t, 2*i - 3*i = 3*t + 21. Let o be w(i). Suppose -2*h - 2*h = -352. What is the highest common divisor of o and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2508 and 66?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3\/7 + 11*t**2\/7 - 19*t\/7 + 9\/7 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429.051ml to litres.\nAnswer: 0.429051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6 + (-9)\/(-2). Let k = -2 + 2. Let d be (-3 - k) + v\/1. Solve d*u - 4*u = -20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8159779 centuries to millennia.\nAnswer: 0.08159779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.3611 and 0.24?\nAnswer: 3.6011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 4. Let f(i) = 9*i - 4*i - 4*i - 1. Let p(g) = -6*f(g) - k(g). Calculate p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 65\/3 of a decade?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/(-44))\/(2 - (-7)\/(-4)). Let d(c) = 4*c - 2. Let b(v) = v - 1. Calculate h*d(s) - 5*b(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547 greater than 2549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 1025*b**2 - 66 + 76)*(2*b**2 + 3*b**2 - 7*b**2).\nAnswer: -2050*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-7)\/(182\/39)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -19*o + 1. Suppose 3*s + y - 13 = 0, 5*y = -3*s - 0*y + 29. Suppose s*a = -0*a + 30. What is the lowest common multiple of n(-1) and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 5. Let k(j) = -j**3 - j**2. Let c(n) = 7*n**3 + 9*n**2 - 3. Let h(i) = -2*c(i) - 18*k(i). Calculate -5*h(l) - 6*z(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 83*p**8\/336 - p**6\/24 + 53*p**5\/10 + p**4\/12 - 78*p**2. Find the third derivative of k(v) wrt v.\nAnswer: 4980*v**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Put -1533287, -8, 0.1 in ascending order.\nAnswer: -1533287, -8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -22*m. Let z(r) be the first derivative of -187 - 88*r + 4*r**2 + 176*r - 88*r. Give q(z(f)).\nAnswer: -176*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 64*n**2 + 2*n - 67. Let l(b) = -64*b**2 - 3*b + 66. Let z(k) = 3*j(k) + 2*l(k). What is the first derivative of z(m) wrt m?\nAnswer: 128*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172271246 divided by -16651?\nAnswer: 10346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -1\/2 (b) 16 (c) -161 (d) 239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.2265km in nanometers?\nAnswer: 819226500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 11*c + 475. Suppose -c = -5*b + 25. What is the remainder when b is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -295.3, -2\/75, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssshhghsvg. Give prob of sequence hvh.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 less than 561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3 (b) 0 (c) 0.3 (d) 240\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1)*2*-1. Suppose h - 5*h + d = 0. Is h not equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7523295110 + -0.035.\nAnswer: 7523295109.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 166*s**2 - 3207*s + 860. Calculate j(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 13*a**4\/2 + a**3\/6 + a**2\/2 + 3*a. Let r be (-2)\/7 + (-36)\/(-28). Is s(r) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*o + 10 + 8, -4*b + 3*o + 4 = 0. Let d = -1 - b. Let m(w) = -15*w + 18. Let t(h) = h - 1. Let v(n) = -m(n) - 18*t(n). What is v(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 4*l - 39. Let r be (6\/4)\/(l\/(-18)). Which is the nearest to 0.2? (a) -2 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - z + 13. Let c be k(0). Let f = 42 - c. Calculate the remainder when 85 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1226 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -24, -5, 20, 2\/13, 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104807 is divided by 34894?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -15 - (9 + -2)) + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.944 - -416.056. Let k = 415.715 - d. Let v = k + -0.015. Which is the closest to -0.1? (a) -5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -5)\/(78\/((-225498)\/245))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 24*h**2 - 35*h + 893. Give d(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 8 = 2*h, 4*x = -h + 7. Solve -m - 8 = h*f, 20 = 5*m + 2*f - 7*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119363*s**2*z**3 - 3*s**2*z**2 - 658*s**2*z wrt z.\nAnswer: 716178*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 - 6*o - 8. Let f(t) = t**2 + 4*t - 6. Let a be f(-6). Let k(p) = 5*p**2 - 7*p - 9. Let l = 341308 - 341315. Calculate a*k(c) + l*u(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 73940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5 - 23*h**2 - 2799*h?\nAnswer: -40*h**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, -91861.\nAnswer: -91861, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -29. What is the highest common factor of 21 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-105)*7*(-1)\/((-198)\/30)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 661395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1858 + -1770. Let w be i\/12 - (-30 + 37). Factor -w*x**2 + 0 + 0*x + 1\/6*x**3.\nAnswer: x**2*(x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*l - 171, 213 = -5*m + m + l. Let s = m + 54. Solve 3*t = -i - 9, -i - 7 = 4*t + s*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/363 and 5\/9152.\nAnswer: 302016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*y + 1319 + 669 = 468 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 21 = 3*j, -5*j + j + 3*g + 17 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0253986119 rounded to six decimal places?\nAnswer: 0.025399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 16*y. Let d(k) = 431890*k**2. Calculate f(d(b)).\nAnswer: 6910240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 33. Let f(g) = -2*g + 17. Let c(z) = -5*f(z) - 3*k(z). Let l be c(-13). Let m = -8 + 54\/7. Is m < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r + 4. Let a(q) = -1. What is -26*a(u) - 6*m(u)?\nAnswer: -6*u**2 + 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18919 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/(((-4)\/6)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -1.47. Let y = x + -1. Let z(o) = -2*o + 41. Let p be z(19). What is the biggest value in p, y, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:56 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287*m - 343*m + 2*m**2 - 319*m to the form k + w*m + a*m**2 and give w.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 123. Suppose 0 = -5*t + 4*r - 3*r + 108, -2*r = 2*t - b. Let y = t + -17. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b90 (base 15) to base 5.\nAnswer: -40420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1943718743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 636 = -13*g + 15*g, 4*z = -5*g + 1272. Is 8 a factor of z\/((-4)\/6*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 30 = -5*u. Suppose -7*k + 55 = -u. Let r = k + 145. List the prime factors of r.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353007 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-24))\/((-121)\/(38720\/900))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 28721 (b) 11\/4 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 12. Let u be l(12). Let n = -9 - -173\/19. Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/36 and 115\/53494272?\nAnswer: 53494272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1381425 and 975?\nAnswer: 17958525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8284968 divided by -230138?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3372.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:20 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, 359, 911, 1721, 2795, 4139?\n\"Answer: r**3 + 120*r**2 - 67*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351749*q + 351749*q + 88*q**2.\nAnswer: 88*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -343*o**8\/216 + 392*o**7\/135 - 98*o**6\/45 + 112*o**5\/135 - 4*o**4\/27 - 19*o**2. Find b such that v(b) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 - -136. Let f = 348 + v. What is the greatest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -4, 17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - -1) + (-5 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbp when three letters picked without replacement from pbbbbbpbbpbpbppbbpb?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 11\/4 - (63\/(-7))\/(-36)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299*l + 1 + 1296*l + 24.\nAnswer: -3*l + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(55)*-2)*5)\/(sqrt(132)\/(sqrt(24)\/sqrt(2))) + -4.\nAnswer: -5*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6167 (b) -2 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**3 + 9*r**3 + 9*r**3 + 3*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1231 - -1)\/(12\/(-8)). Let l be 3\/(-4*(-15)\/p). Calculate the greatest common factor of 82 and l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z - 7 = -q, 5 = 5*z. Differentiate -3*r - 25 + 16 + q*r**2 + 3*r wrt r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/10*(-2)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -35*j**3 + 17*j**2 - 5*j + 17. Let h(b) = 6*b**3 - 3*b**2 + b - 3. What is 34*h(r) + 6*u(r)?\nAnswer: -6*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12859?\nAnswer: 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -18*g**2 + 7. Let f(m) = -1238 + 0*m + m + 1238. Give f(v(n)).\nAnswer: -18*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(5\/1))\/(3\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h + 1. Give w(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/3 + 6352*o**4\/3 - 12707*o**3\/3 + 2118*o**2 = 0.\nAnswer: -6354, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:03 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2 + 0*i**3 + 1\/2*i**4 - 3*i + 0*i**2. What is the first derivative of p(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.395 - 0.105. Let z = 8 + -13. What is the second smallest value in f, 0.2, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*t + 66, -2*t + 0*t = -3*m + 88. Let u = -57 + 141. What is the greatest common divisor of m and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = w - 34, -6*w = -w - j - 137. Let p = 28216 + -28212. What is the least common multiple of w and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101011010011111 (base 2) to base 4\nAnswer: -11122133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 2\/225 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3740*r = -3741*r + 2*n + 33, -4*n - 165 = -5*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -136403479?\nAnswer: 136403478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/986 - -1963\/8874. Which is the second smallest value? (a) y (b) -0.1 (c) -8 (d) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -556352*j + 556540*j + 7896 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 - q**4 + 2*q**4 + 8*q**4 + 4*q**4 + 0*q**4 + (-1 + 0 + 0)*(-q**4 - 1 + 1) + 46*q**2 - 46*q**2 - 27*q**4)*(-3 - 3 + 4).\nAnswer: 26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12874630231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(((-6)\/(-8))\/(207\/(-828)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11611312 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**11\/r)\/((r*r\/r**(-13\/5))\/r))**(1\/18)\/((((r**15*r)\/r)\/r)\/(r*r\/(r**(5\/6)\/r*r)))**47 assuming r is positive.\nAnswer: r**(-54253\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/9127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 45. Let t be (-135)\/l + 0 - (-2)\/(-8). Let u = 0 + t. Is u smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28632875 to four decimal places.\nAnswer: 0.2863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 6:04 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.3 - -15. Let x = -0.3 + v. What is the second smallest value in x, -0.2, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 56. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13176042 by 2.\nAnswer: -6588021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Let s(v) = 2*v**2 + 3*v**3 + 2*v + 0*v**3 - w - 4*v**3. Let x be (-20)\/(-6) - (-3)\/(-9). What is s(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.1, -42\/11, 4, 7, -0.3, -5, -4\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = y - 2, 241*y - 245*y + 2 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64880 + 3.2.\nAnswer: -64876.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edd when three letters picked without replacement from ddddoeddpdllde?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 252\/2*(-2)\/(-4). Let y = x + -96. Let u = 56 + y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t**(-1\/8)*t)\/t)\/t)\/t)\/t**1*t**(3\/10)*t**(-5)\/t)**(-8\/3))**25 assuming t is positive.\nAnswer: t**(1765\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 5*j - 18140 = -7*x, 0 = -x - 3*j - 6048. Let u = -4276 - x. What are the prime factors of u?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 37. Let t be i(-20). Suppose -5*x - 5*l = 15, -l + t = -x - 6*l. Solve -4*j + f + x*f = -10, -f + 1 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than -7424?\nAnswer: -7400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 12) to base 13\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*v - 2*v. Let h be (7\/3)\/(v\/(-3)). Calculate the remainder when (-2)\/h + 2715\/21 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4016, 4147, 4278, 4409?\nAnswer: 4540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 243141, 486199, 729251, 972297, 1215337, 1458371, 1701399?\n\"Answer: -3*b**2 + 243067*b + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307658?\nAnswer: 2, 3, 11, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 963935?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*c**3 - 584*c**3 + 1077*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -114749216608 - -0.5?\nAnswer: -114749216607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 3*o + 4. Calculate r(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**2 + 29*k**2 - 332*k**3 + 648*k**3 - 317*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/138 and -19\/19036.\nAnswer: 1313484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1376366 or 1376375?\nAnswer: 1376366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 33*p**2 + 23*p + 366. Determine h(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275010120 and 24640.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7104.469 litres?\nAnswer: 7104469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3048 + 27618 = 390*s. Let p(h) = 7*h. Calculate the remainder when s is divided by p(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, -3, 0.5, -0.5, -0.2, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.94 - 0.06. Let f be ((-16)\/(-10) + 0)\/((-26)\/130). Which is the third smallest value? (a) f (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(612) - (sqrt(612) - (sqrt(612) + (sqrt(612) + 3*sqrt(612) + sqrt(612))*-1)) - sqrt(612)))**2 + 0.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 24 = 4*r - 12*w, r + 5*w + 12 = 0. Suppose -3*d + 8 = -4. What is the remainder when d is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-3 - (-54)\/14). Let l be 0 + (1 - 4 - i). Is l >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -2*y**2 - 9. Let n(v) = 2*v**2. Calculate n(p(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.822689 years?\nAnswer: 21.872268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 37373*v - 747462. Give j(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000296380651 to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 333 + -336. What is the third biggest value in 0, 165, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/17 + 24*t\/17 + 22\/17 = 0 for t.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9932, 74, -19 in decreasing order.\nAnswer: 74, -19, -9932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*d + 3767 - 1412, 0 = 2*d + 2. Calculate the highest common factor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 118136 and 590679\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 8*k - 7. Let t(c) = c. Let i(y) = 9*y**2 - 18*y - 13. Let r(f) = i(f) + 3*t(f). Let n be (2*-2)\/12*33. Give n*a(l) + 6*r(l).\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 5:29 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -17.4. Let q = -2.44 + x. Let c = -0.04 - q. Put c, -1\/5, -2\/3 in decreasing order.\nAnswer: c, -1\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60246.\nAnswer: 2, 3, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14868 divided by -531.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1430 and 1240279336.\nAnswer: 1240277906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3, 0.5, 19.81?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 25 = -5*d, 10*d + 5*k - 65 = 5*d. Let u be (2 - -1)*d\/(-60). Sort 1\/2, 6, -1\/9, u in ascending order.\nAnswer: u, -1\/9, 1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 116. Calculate the highest common factor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 5*s + 10, 4*s = -3*h - h + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*-52 + (-6)\/(-2). Is 7*(-4)\/((-12)\/a) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -130, -217, -300, -367, -406, -405, -352?\n\"Answer: 2*p**3 - 16*p**2 - 45*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -7\/25, 0.4, 182?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f + 5*f**2 + 8 - 2 + 0*f**3 - 7*f + f**3. Suppose -95*l - 32*l + 13*l - 570 = 0. Calculate x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10737 + -10669. Solve 68 + 136 = q*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = 5*d + 32, -3*r = -2*d - 27. Let m be 4018\/18 + -3 - (-2)\/d. Let f = m + -103. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**5 - 9*t**5 - t**5)*(-192 - 715 - 13 - 107).\nAnswer: 7189*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-2)\/(-1))\/(-282)). Suppose -3*g + b = 5*a + 29, 3*a + 42 = g. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 1. Let o be c(3). Let g = 68 + -70. What is the units digit of (o - -3 - g)\/(1\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124772 - -25204037\/202. Find the common denominator of y and 73\/16.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8392638.6 rounded to the nearest one hundred thousand?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + (-6)\/18. Suppose 3*a - 39 - 87 = g. Let b = -24 - -38. Calculate the greatest common divisor of b and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1434422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = -5*g. Let r = g - 0. Let w = -2\/63 - -71\/252. Is r smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013 - 11?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17980, -19013, -20046, -21079, -22112, -23145?\nAnswer: -24178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/119, -0.3, 0, -0.88, -4, 3\/20?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11528 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12302030201 + -1?\nAnswer: -12302030202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/18)\/(1\/51). Let n = 22 + q. Suppose -n*u - 2689768 - 2160232 = 0. Round u to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213682717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111427 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 + 1.7?\nAnswer: 168.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997 plus 1681.75101282?\nAnswer: -315.24898718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(-2*u**3 + 4*u**3 - 5*u**3) - 360*u**2 + 327*u**3 + 360*u**2.\nAnswer: 318*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/23, 1, -61, 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-14)\/p*p))\/p**(-4\/9) assuming p is positive.\nAnswer: p**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2542845 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-10))\/(6\/15). Suppose t*s = s + 2. Let b be 6\/(-4)*(1 + -3). Is s at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01250909 * -0.1.\nAnswer: 0.001250909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aafqaqagaufgu. What is prob of picking 1 f and 2 q?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -181? (a) -5 (b) -4\/5 (c) -0.4 (d) 239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 3*y - 1422*y**3 + 679*y**3 + 715*y**3.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpppppppxpxpppxpppp. What is prob of picking 2 p?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 174) + (23 - 87 - -36 - -51)?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/20 + 5*g**4\/12 - 2*g**3\/3 + g**2 - 6*g. Let d be a(4). Solve -h + 4*m = -0*m + 4, 5*m = d*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027152924 to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 47*w + 37*w + 0 - 5*w + 161*w.\nAnswer: 146*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 922581589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9858 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.06 and 60 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111591009, -111591008, -111591007, -111591006, -111591005, -111591004?\n\"Answer: q - 111591010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/(3\/(-18)). Let z be -8*s*(-2)\/4. Suppose -3*m + m + z = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140497 = 5341*y + 12893 - 59331 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94388, 755424, 2549652, 6043664, 11804052?\nAnswer: 20397408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5409*p**3 + 5408*p**3 + p + 18*p - 21*p**2 - 31. What is the remainder when 2*-34*(-3)\/2 is divided by y(-22)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((16\/(-20))\/(-2))\/(-4)*-28. Let p be 2 - (1 - (-2)\/2). Suppose 4\/5*b - 2*b**2 - w*b**3 + p = 0. Calculate b.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 424 = -2*b, 5*b + 245 = 2*f - 23. Suppose 2 + f = 2*g. What is the remainder when g is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9\/8)\/((4\/(-8))\/(126\/(2058\/49)))\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*z - 166*z - 72*z.\nAnswer: -328*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*h*q + b**2*h*q - 818573*b**2 - 8*b*h*q - b*h - 193981*b*q - 6*q wrt b.\nAnswer: 24*b*h*q + 2*h*q - 1637146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141472.\nAnswer: 2, 3, 22307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*0.5.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -5*m**4\/12 - 10*m**3 - 90*m**2 + 20*m + 6. Let i(h) be the first derivative of c(h). Factor i(l).\nAnswer: -5*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 + 2*h. Let m(j) = 6*j**2 + 2*j - 8. Let n(f) = -3*f**2 - f + 2. Let l(v) = m(v) + 4*n(v). Calculate 4*l(s) + 5*p(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1870 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*t + 92*t - 99*t + 15433 = 99*t for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(0 - 7\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 1564*j.\nAnswer: -4*j*(j + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86437.\nAnswer: 13, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = -2*s - 617. Suppose 3 = 5*a - 7. Suppose 5*f - a*j - 599 = -s*j, f - 127 = 3*j. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.6 and 11973457451.\nAnswer: 11973457447.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6689*c + 7660*c + 5772*c + (-4 + 4 - c)*(5 - 1 - 2).\nAnswer: 6741*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 47. Suppose 8*u - 25 = 3*u. Sort -5, u, g.\nAnswer: -5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p + 45 = 0. Let q = p - -20. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.2 + -8.83. Round p to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2124 - 114313?\nAnswer: -112134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/410165 and 32\/410165?\nAnswer: 410165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 9*j + 12. Let z be a(10). Suppose 4*f + s - z = -s, 4*f - 29 = 5*s. Calculate the lowest common multiple of 4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -878\/4709 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 4*s - 3*s**3 + (-80*s + 33 + 26*s - 31)*(-2*s**2 - 5 + 5).\nAnswer: 105*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*(-1)\/((-15)\/(-6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -304, 5.\nAnswer: -304, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -11. Which is the third smallest value? (a) -1\/3 (b) 2\/19 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2176)*-2*-1)\/(sqrt(10)\/(sqrt(5) - (sqrt(180)\/sqrt(4) - sqrt(5)))).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737607 is divided by 51106.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, m: 7}. Give prob of picking 1 m and 1 v.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 341305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -81*x - 93. What are the prime factors of k(-9)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*f + 3*u + 54 + 7, 2*f + 3*f + 2 = -4*u - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -18*h**2 - 3493*h - 174. Calculate l(-194).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.5. Let t = 60455 + -60455.1. Which is the closest to 0.02? (a) -2\/11 (b) -1 (c) n (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7904 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 135501 + 13?\nAnswer: 135514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) -0.1 (c) 2\/38421 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 + (7 - (10 + -4) - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 718773 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 10 + 87 + 95)*(-2*j + 2*j + 3*j**2).\nAnswer: 582*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7645202 >= 7645201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 482\/4 - (-1)\/2. Let b = 74058 + -73938. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**3 - y**2 - 3*y - 2. Calculate the least common multiple of c(3) and 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-325))\/(1*(-3)\/9)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*s + 185*s - 1302 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 0*1\/(-2). Let n be 209\/((-209)\/6) + (-1)\/(-9)*56. Let b = -5.01 + 0.01. Sort 2, b, p, n in increasing order.\nAnswer: b, p, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85*l**2*o**4 - 15*l**2 - 77*l - 65*o**4 + 1 wrt o?\nAnswer: -340*l**2*o**3 - 260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 + 1077*d + 4113. Calculate p(-150).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22071?\nAnswer: 3, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-36)*-3*-3. Suppose 14 = -m*c + 5*z, 12 = -c - 3*z + 27. What is the remainder when 114\/4*4\/c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2579605*v**2 + 3447233*v?\nAnswer: 5159210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 18 = 5*u, 1 - 10 = -m + 4*u. Differentiate -m*j**3 - 4 - 9*j**3 + 28*j**3 with respect to j.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21753 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 43*d - 38. Let y(r) = -6*r**2 + 44*r + 38. Let j = -199 + 202. Let c(m) = j*y(m) + 4*o(m). Factor c(h).\nAnswer: -2*(h + 1)*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1))\/d)**(-3)\/(d**(-1\/3))**(-37))\/((d\/d**(-1\/3))**(-2\/17)\/(d**(2\/5)\/d**1)) assuming d is positive.\nAnswer: d**(-831\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4\/26 + 213\/104*2\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004945 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05726 (b) 1579 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 5*s + 3 + 1 - s**3 + 7*s**2. Let t be (-714)\/(-66) + -5 + 2\/11. What is c(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/10)*p*p**(1\/13)*((p\/(p*p**(1\/4)*p))\/p)\/(p\/(p*p**(5\/3)\/p)*p) assuming p is positive.\nAnswer: p**(-1253\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 3.524, 0.6, -3.\nAnswer: -105, -3, 0.6, 3.524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*(214\/1284)\/(3\/18).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j + 19*j - 702 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 2 + (8 - -3) + -55 + 37?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 4, 2*l = 5*l + 2*q - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 74 + 106. Let p = r - -55. Solve -5*j = -2*n + 30, 2*n - p + 4 = -j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -279*h**3 - 4*h + 5*h + 280*h**3 to the form t + u*h**3 + j*h**2 + x*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125141 - 500567\/4. Let d = 0.3 + -0.28. What is the nearest to -0.2 in u, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3996 and -29\/19872.\nAnswer: 735264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 117*g**2 + 183*g**2 - 601*g**2 + 0 to j + z*g + i*g**2 and give i.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3\/4)\/n)\/n**(-10\/7))\/((n**(-1\/28)\/n)\/n*n**(2\/9)))**(-16\/7) assuming n is positive.\nAnswer: n**(-1504\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -200, -639, -1472, -2831, -4848?\nAnswer: -7655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/2 - 2. Let x(k) be the second derivative of 7\/12*k**4 + 0 + 2*k + n*k**2 + 0*k**3. Let r(l) = -4*l**2 - 3. What is 5*r(q) + 3*x(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) 1\/5 (d) -6\/5 (e) 871 (f) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 - 3*h + 3. Let z(t) = -12*t**3 + 16*t**2 - 7*t + 2. Let p(c) = 2*c**3 - 4*c**2 + c. Let j(n) = -4*p(n) - z(n). What is -3*j(i) - 2*v(i)?\nAnswer: -2*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 100717, 100693, 100631, 100513, 100321?\n\"Answer: -3*b**3 - b**2 + 100721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 32 = -455*b + 457*b, 64*b - 101 = -3*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793637 is divided by 793407.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/32 + (-26)\/(-4). Let y = 1445 + -1445. Which is the closest to -0.2? (a) h (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - w - 40 = -4*f, 0 = 5*w + 25. Let r(y) = y**2 - 6*y - 5. Let t be r(f). Solve 0 = 4*o + 5*c + 27, -o - t*o + 2*c = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148743924 and 2044?\nAnswer: 148743924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 6345.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4760 = -1064*i + 924*i for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 93 = 2*s - 73, 4*w + s = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1)*(195 - 20). Let n = s + 761. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80.348 - 80. Let m = -0.152 - g. Put -0.1, 69, 2\/7, m in ascending order.\nAnswer: m, -0.1, 2\/7, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 69670389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 99720, 99731, 99742, 99753?\n\"Answer: 11*q + 99709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5689059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -61*m**5\/60 + m**3\/3 + 100*m**2. Let i(w) = -2*w**2. Calculate u(i(h)).\nAnswer: -244*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -0.1, 4\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4120 + 115133?\nAnswer: 111013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-9)*(-6)\/8. Let t = 4 + r. Let i = t + 2. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Suppose -2 = 5*q + 3. Let y be (-20)\/4*(j + q). Solve y*u - 28 = 5*l - 3, 0 = 3*u + 2*l + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 2\/3, -1\/3, 1\/10, -0.37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1 - 3 + 3*v + 0. Let n(d) = 2*d - 2. Let t(s) = 4*n(s) - 3*r(s). Let h be t(-2). Solve h = -k - 2*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -705462 (base 9) to base 16\nAnswer: -65e58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = -2*v, 3*q - 6 = -2*v + 6. Suppose q*k + 3*z = 14, -2*k + 10 = 3*z - 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 89. Let x(m) = 10*m - 35. Let v(l) = 7*l - 25. Let z(y) = 14*v(y) - 10*x(y). Give z(a(u)).\nAnswer: 6*u + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) + 1 + sqrt(2187) + 1)**2.\nAnswer: 216*sqrt(3) + 8752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgrvavvvvvvavvra. What is prob of sequence gv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(2\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-20)*(95*1\/(-304))\/((-2)\/(-12))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 80*t + 240 = 0.\nAnswer: -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*n**2*y**3 + 24*n**2*y - 1387*n**2 + n wrt y.\nAnswer: -96*n**2*y**2 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1+0.04289\nAnswer: -0.95711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -1.8, -2\/67, -2, -239?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 73 = 2*w - 3*w, 5*w + 220 = 5*x. Suppose 0 = -2*r + x - 5. Solve 0 = -4*b - 12, 2*f + 4 = -5*b - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948499 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6444 and 79103322.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -278617 - 4?\nAnswer: -278621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-9 - -24 - 34 - -19 - (0 - 69)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 39 = 4*u. Let f = u - 37. Let g(t) = -t**2 - 7*t. Calculate g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-1\/4)\/i)\/i)\/i)\/i*i\/i**(-3\/5)*i\/(i*i*i*(i**7\/i)\/i*i)*i*i*i\/(i\/(i\/(i*i\/i**(3\/4)*i))))**(-3\/25) assuming i is positive.\nAnswer: i**(297\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5078, -5031, -4958, -4859?\n\"Answer: 13*p**2 + 8*p - 5099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3, -4*s - s + 5*r = -15. Let c(q) = q**2 - 7*q + 11. Let m be c(s). What is the second smallest value in 4, m, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + 2*sqrt(102)*1 - (sqrt(102) + sqrt(102)*2*-3 - sqrt(102)))\/(sqrt(864) - (sqrt(864) + 1*sqrt(864)*2 + sqrt(864))).\nAnswer: -5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 16\/5, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-3 - (-3 + (2*sqrt(13))**2 + sqrt(13) + sqrt(13))) + sqrt(1872)*-1 + 3)*1.\nAnswer: -23*sqrt(13) - 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -318.6 and 2.1.\nAnswer: -669.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - 1) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*a = 0, -w = -a - 3*a. Suppose w = -y + 7. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7632748 millilitres in litres?\nAnswer: 0.0007632748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**3 + 5*c**3 - 3*c**3)*(0 + c + 0) + (-c**3 - 2*c**3 + 5*c**3)*(0*c + 6*c + 3*c) as p*c**4 + g*c**2 + s + t*c**3 + b*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -21. Suppose 5*g + c + 1 = 5*c, -2*g = t*c - 22. Suppose 2*b = 5*b + 5*r - 2257, -g*b + 2241 = -3*r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -941, -2, -3, -4, -14, 3 in descending order.\nAnswer: 3, -2, -3, -4, -14, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 701*o**6\/15 - 8*o**4 - 1356*o. What is the third derivative of i(p) wrt p?\nAnswer: 33648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = -8. Let c be (t\/(-10))\/((-24)\/15). Let l = -3\/8 - c. Which is greater: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 2*n**2 - 2*n - 2. Let u be j(2). Solve 0*q + u = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a + 33. What is x(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 394*h - 1532. Let n be v(10). What is the highest common divisor of n and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6168.24 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848 + -2839 + (-1 - -25) + (0 - -1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/5 - 4408*u\/5 + 8796 = 0.\nAnswer: 10, 4398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(7 + 13\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Let n = -41 - -23. Let t be (-3)\/2*24\/n. Put -5, b, t in increasing order.\nAnswer: -5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {k: 2, x: 6, c: 3, a: 4, h: 2, d: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 11*q - 14. Let k be s(7). Let c = 445 + k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 737 - 413. What is the units digit of c\/25 + 1\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204)*-3 + (sqrt(51) + sqrt(816))*-4))\/((2*sqrt(363)*-4 + sqrt(363))*3).\nAnswer: -26*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 571\/560 - 101\/224. Calculate the common denominator of -31\/9 and a.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2fe8e + 7fa?\nAnswer: 30688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*j + 29 = -1, 3 = 3*k + 4*j. Let a be 585\/25 + (-2)\/5. Let w = a + -28. Put 0, w, k in ascending order.\nAnswer: w, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4401 + -3707. Solve 679 = 3*k + o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 668 + -668.6. What is the third smallest value in -0.22, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**3 + 11*d**2 + 9*d + 8. Let b(q) = 12*q**3 - 25*q**2 - 21*q - 19. Let z(u) = -3*b(u) - 7*s(u). Suppose -5*y + 1 = 6. What is z(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/45816 and 16\/33.\nAnswer: 503976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2 = -h, -7*h + 3*h + 8 = 2*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -775*q. Let v(p) be the second derivative of -7*p**4\/12 + 2478*p. What is v(u(m))?\nAnswer: -4204375*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -341250, -682443, -1023636, -1364829?\n\"Answer: -341193*u - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/102 + 11*k**3\/51 + 10*k**2\/17 + 539*k. Find i, given that m(i) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1118 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4)*-2)\/(312\/608*19)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -66. Suppose 0 = -3*l + 5*b + 8497 + 8909, -4*l + 23234 = y*b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 162536610*x**2 - 1320906829367925*x + 10567265037289000.\nAnswer: -5*(x - 8)*(x + 16253665)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/7 + 36*c**3\/7 + 66*c**2\/7 + 32*c\/7.\nAnswer: 2*c*(c + 1)**2*(c + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 + 26*t**2 + 16*t + 8. Let p(h) = 3*h**3 - 27*h**2 - 14*h - 6. What is -6*d(o) - 7*p(o)?\nAnswer: 3*o**3 + 33*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f**(-13))\/f))**25)**(-40))**(-6\/11) assuming f is positive.\nAnswer: f**(84000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d\/(d\/(d*(d\/d**6)\/d)))**(2\/3)*((d\/d**(1\/2))**(-3\/14))**(-21) assuming d is positive.\nAnswer: d**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhhh when four letters picked without replacement from {h: 4, r: 2, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-8)\/(-16)*34\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.075880494 times 0.08\nAnswer: 0.00607043952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11495 and 292600.\nAnswer: 3218600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2331 + -2195.9. What is y rounded to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 1. Let y be o(3). Suppose 1 = -h + p, 4*h + h + y*p = 45. Suppose -h*j = j. Which is greater: 4\/7 or j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -0.07, 47\/23, 0, -4.8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 - 2. Let n(t) = 21*t**2 - 11. Let z(l) = 4*n(l) - 22*y(l). Let s(a) be the second derivative of -a**4\/6 - 477*a. Give z(s(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*j**3 + 8*j**2 - 3*j**2 - 1132*j**3 + 566*j**3 - 5*j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -53 + 20. Suppose -4*y - 566 = -3*w + 205, 3*w - 750 = -d*y. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 4*z**2 - 4*z**2)*(6 - 14 + 5)*(1 + 0 - 3)*(-2 - 1 + 4) + 4 + z**2 - 4.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, -9, -11, -9?\n\"Answer: 2*w**2 - 12*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655774.\nAnswer: 2, 19, 43573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 31. Let m be 7\/21 + (-106)\/(-12)*2. Suppose -3*v + 3*u = -m, -3*v - 3*u = v - 10. Calculate the lowest common multiple of g and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**7\/2520 - 7*q**6\/720 + q**5\/15 + 2*q**4\/3 + 4*q**3\/3 - 74*q. Let r(d) be the third derivative of z(d). Give r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000117524238 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -4.2. Let n = -0.7 - a. Let k be 1 - 0*(-4)\/8. What is the biggest value in k, -5, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 - 22*u**4 + 5 - 29*u**4 - 27*u**4 + 76*u**4 - 6 - 3*u as p*u**2 + j*u + s + x*u**4 + r*u**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 202, 208, 226, 262, 322, 412, 538, 706?\n\"Answer: x**3 - x + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421505?\nAnswer: 5, 7, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + d**2 + d - 7. Let c(b) = -b**3 - b**2 + 5. Let n(x) = 3*c(x) + 2*g(x). Let l be (1\/2)\/(2\/(-8)). What is n(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 667*b - 92898. Give i(-198).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 1323. Let f be p(-35). Calculate the highest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*h + 18, -2*w - 3*h + 14 = -5. Suppose 6*l = w*l + 20. Factor -4*i**2 - 23*i**2 + 1452*i**5 - 304*i**3 - l*i**2 - 488*i**4 + 48*i**4.\nAnswer: 4*i**2*(3*i - 2)*(11*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -364 + 36332?\nAnswer: 35968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34065, 33987, 33859, 33681, 33453?\nAnswer: 33175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -552 - -294. Let r = 515 + i. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 40616847.\nAnswer: 1\/13538949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77939*h - 155810*h - 2046 = -77964*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 2*j - 5*j. Let h(n) = -2*n**2. Determine h(c(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c + 30*c + 6156 - 6190. What is the tens digit of t(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 4. Let p be z(5). Let n be 2*(-1)\/2*p. Let o(f) = 2*f**2 - 1 + n. Let x(u) = 2*u**2. Determine o(x(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2427 times -0.07\nAnswer: 169.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5 + 14*m**4 - 89*m**3 + 114*m**2 = 0.\nAnswer: -19, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k - 2*k)*(-4*k**3 - 4*k**3 + 2*k**3) + 10*k**4 - k**4 + 6775 - 6799.\nAnswer: 21*k**4 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -959*w**5 + w**4 - 338*w wrt w.\nAnswer: -19180*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 21 = -4*u - 3*k, -2*k + 8 = 0. Suppose 5*v - 2247 = -2*m, -3*v + u*m + 868 + 497 = 0. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let r = 2 + y. Let u be (-1)\/(6*2\/(-36)). Which is the nearest to r? (a) -4 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1323069\/29 - 45615. Is w less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 75, 523, 1687, 3915, 7555?\n\"Answer: 58*h**3 + 10*h**2 + 12*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1349.381\nAnswer: -4048.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (-1 + 2*sqrt(162) + 1 + (sqrt(162)*1 - sqrt(162)) + sqrt(162) - (-2*(-2 + sqrt(162)))**2*3).\nAnswer: -1988 + 459*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/15 + 10*y**4\/3 - 236*y**3\/15 - 96*y**2\/5 = 0.\nAnswer: -1, 0, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3842\/23009 or 1?\nAnswer: 3842\/23009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w - 15. Let k(z) = 3*z**2 + 20*z + 9. Suppose -20*f = -23*f - 18. Let d be k(f). Let n be b(d). Solve n + 2 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4536 - 2360 = -64*y for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 3*v**2 + 3*v - 3. Suppose -16 = -4*d, -3*z - 4*d = -0*z - 76. What is the remainder when z is divided by n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 220, 325, 430, 535, 640?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6177298371 to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2 - 111*h + 1008 = 0.\nAnswer: 16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r*r*r**(1\/10)))\/r)**(-4\/7) assuming r is positive.\nAnswer: r**(22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1693974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**5\/15 - i**4 + 2*i**3 + 13. Find a such that l(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -2, 0.4 in decreasing order.\nAnswer: 0.4, -1.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 323 and -0.1814557515.\nAnswer: 322.8185442485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16556 (base 8) to base 4\nAnswer: 1311232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 22*m - 12 = 0. Solve 4*y + 5*f - 20 = 0, -1 - m = y - f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000955645436 to 6 dps.\nAnswer: -0.000956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15345 = -5*a, -4*a = 39*v - 42*v + 15372. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -1\/5*p**5 + 0*p + 0*p**2 + 0*p**4 - p**3 - 2. What is the third derivative of z(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22224965 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let y(h) = -h**2 - 5*h - 1. Let z be 0\/(2\/(-2)) + -1. Let q(s) = z*y(s) + 6*a(s). List the prime factors of q(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-10 + 3 - -3)) + (13 - (-51 - -20)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbafaffaxa. Give prob of sequence xa.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.95 + -25. Which is the nearest to g? (a) 0.1 (b) 2\/11 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 5 + 5 + (0 - 4 + 2)*(-2*q + 1 - 1) + (10*q + 29*q - 25*q)*(-2 - 1 + 1).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f - q = -20*f + 14*f - 182, 50 = -4*f + 2*q + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 1\/3*g**3 - 1\/240*g**5 - 8*g**2 + 7\/96*g**4 + 0*g - 7. Suppose y(s) = 0. What is s?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3 + 5*j**2 - 8. Let m(l) = 11*l**3 + 11*l**2 - 17. Let d(i) = -6*m(i) + 13*r(i). Calculate d(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - (1 + -1) - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -0*m. Let j = 261 - 255. Let a = m + j. Solve -2*x = -0*x - a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/(-48)*(4\/(-135))\/(-1). Let o = 0.024 + 36.476. Let x = o - 36. Sort x, z, 0.3, -2\/3 in increasing order.\nAnswer: -2\/3, z, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1283, -2565, -3847, -5129, -6411?\nAnswer: -7693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99586?\nAnswer: 2, 17, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 divided by -4?\nAnswer: -361\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1109\/11 + 101. Let d(v) = 3*v**3 + 14*v**2 - 8*v - 14. Let w be d(-5). Is w > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((196\/686)\/(60\/126))\/((-3)\/(-320)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 11*b**2 - 3*b**2)*(-2*b**2 - 3 + 3*b**2 + b**2) + 5*b**4 + b**3 - b**3.\nAnswer: 19*b**4 - 21*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*b - 125.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9306760, 18613527, 27920296, 37227067, 46533840, 55840615, 65147392?\nAnswer: 74454171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b - 2 = 0. Let x(d) = -5*d + d + b*d + d. Let g(l) = 10*l. Calculate x(g(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171.81619 rounded to the nearest ten?\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.2301 millilitres in litres?\nAnswer: 0.6932301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 233, 348, 463, 578, 693?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 + 256.3. Let i = 16.62 + q. What is the closest to -4 in 1, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 1008113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22269, 89142, 200597, 356634, 557253?\n\"Answer: 22291*q**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.140488 minus -23.36?\nAnswer: 23.219512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10305607 is divided by 5152798?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28)*19\/((-26163)\/108)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3582*l = -3438*l + 5760 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -222*o**2 - 2775*o + 2773. Give p(1).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m**3 - 4*m**2 - m - 7. Let v(x) = -x**2 + 4*x + 23. Let y be 7\/3*12\/(1 - -3). Let k be v(y). Let z(o) = -3*o**3 + o**2 + 2. Give k*c(t) + 7*z(t).\nAnswer: -t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = 43*s - b - 6, 5*s - 4*s + 1 = -5*b - 0 - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -2 + (-4 - -3) + 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, 2\/59, 1\/5, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15213743 to the power of 1\/2, to the nearest integer?\nAnswer: 3900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32587331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/57)\/(-4))\/((-243)\/729)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*k - 223, -k = 4*f - 2*f - 59. What is the remainder when k is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**7\/105 + x**6\/120 + 11*x**5\/60 + 11*x**4\/24 + x**3\/2 + 4*x**2. Factor b(s).\nAnswer: -(s - 3)*(s + 1)**2*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1400*c - 921*c - 155*c - 845*c to the form g + j*c and give j.\nAnswer: -3321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5 + 20. Let m be -3 + 8\/4 - 1. Let x(w) = 4*w**3 + w**2 - 1. Let v(r) = 9*r**3 + 2*r**2 - 2. What is m*v(b) + s*x(b)?\nAnswer: 2*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-12))\/((-5)\/(-38)*558\/(-155))?\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 75 + 61. Let r(n) = -3*n + 58. Let q be r(o). What is the greatest common factor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-1)\/40*5. Suppose y = -2*y. Put y, m, 17 in increasing order.\nAnswer: y, m, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*g = 24, 0 = -5*j + g + 71 - 47 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - u, -6279 + 6287 = 2*v - 2*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30464, 34289, 38114, 41939, 45764, 49589?\n\"Answer: 3825*d + 26639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68411254 minus -26967?\nAnswer: 68438221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 4*j = 2*j. What is the closest to 0.11 in 1, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 + 160. Suppose 3 = -2*n - 4*u + 5, -16 = 2*n - 2*u. Which is the biggest value? (a) 0.02 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = s. Let n be (-10)\/((1\/(-2))\/s). Suppose 0 = -4*k - 0*k + n. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 102. Which is the third smallest value? (a) -11 (b) x (c) 2\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 3*a - 2*a**2. Let l(o) be the first derivative of 0*o + 3 + 0*o**2 - 1\/3*o**3. Give n(l(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38372\/13 - -2878. Let b = -73 - q. Calculate the common denominator of b and (-81)\/(-2) + 2\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 p, and 1 r when three letters picked without replacement from {e: 1, z: 1, r: 2, q: 1, p: 1, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, k: 3, u: 4, n: 1, e: 1}. What is prob of sequence iu?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -153*k**7\/70 - k**5\/30 + 911*k**3\/6 + 1571*k**2. Differentiate f(v) with respect to v.\nAnswer: -1836*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 5088813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41 and (-2)\/((-28)\/(-3))*576\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/6, -0.1, 4 in descending order.\nAnswer: 4, 2, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*u - 806*u = 2*s + 18, 15*u - 152 = -2*s for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 972 - 52487\/54. Let h(j) be the second derivative of 1\/27*j**3 - v*j**4 + 0 + 2\/9*j**2 - 10*j. Factor h(i).\nAnswer: -2*(i - 2)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813588547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/2427?\nAnswer: -4\/2427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -1, 2, -50797, 6\/11?\nAnswer: -50797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 7*g - 8. Let n be d(-3). Suppose -9*m - 4 + n = 0. Calculate the highest common divisor of 144 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -407758*t**2 - 2*t + 10486458.\nAnswer: -815516*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313203 + -4?\nAnswer: -313211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -4. Let d = -14401 + 14402. What is the second biggest value in s, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7806398*0.1\nAnswer: -780639.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 124\/91 - (-48)\/(-168) and 70\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62185463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*((-196)\/21)\/7. Solve -2 = t - 5, -2*a = p*t + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 42508 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -376068.539 to the nearest one thousand.\nAnswer: -376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 630 + -1a?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/45937 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23989868*c**4 + 6138080*c wrt c?\nAnswer: 287878416*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7644, -7544, -7436, -7320?\n\"Answer: 4*u**2 + 88*u - 7736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 8062\/2389?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522645 (base 10) to base 3.\nAnswer: 222112221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-42)*-7*2\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + j - 5*j + 4 = 0, -5*j = -25. Suppose 2*v + 8 = 2*d + 52, u*d = -2*v + 56. Suppose -1045 = -29*x + v*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 24*c - 1311. What is the remainder when 972\/5 + (-4)\/10 is divided by c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*y - 13, 488*y + 14 = 2*u + 491*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -2\/5 (c) 5 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 4 + 6 - 3. Let s be (1 - 2)\/((-1)\/r). Suppose -4*b - 3*c = -3*b - 6, -s*c - 20 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -90723 (b) -0.2 (c) 2.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g\/(g*g*g**5))\/(g*g\/(g\/(g*((g*g\/(g\/(g\/g**2)))\/g)\/g))*g*g*g)**(-30) assuming g is positive.\nAnswer: g**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.4 (c) -0.3 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3485355 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2248 divided by 562.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 44, -1 in decreasing order.\nAnswer: 44, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.474 + -2.984. Let f = -0.06 + 0.16. Put 0, f, 0.3, d in decreasing order.\nAnswer: 0.3, f, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y. Let k(c) = -c**2 + c + 24. Let w be k(y). Suppose p = -2*p + w. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.99 - -4. Let v = m - 0.01. Do v and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-10)*-6*6\/(-396)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 8*j - 5. Let d(r) = 4*r - r**2 - 4*r**3 + 0 - 3*r**2 + 3*r**3 + 2. Let y be d(-5). What is x(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 5. Let y be ((-2)\/c)\/((-21)\/42). Suppose 0 = -y*k + 3*k - 46. What is the greatest common divisor of 69 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 196b3?\nAnswer: 196b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 684\/(-171) - ((-70)\/17)\/1. Let o = 1.96 - -0.04. Which is the nearest to 1\/5? (a) 1\/4 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 44 = 2*u - 4*k, -4*k - 152 = -5*u. Suppose 2 + 4 = a + b, u = 4*a + 5*b. Solve -2*m**2 + a*m - 2 + m + m = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 16 = -3*i + 4*h, 4*i = -3*h + 11. Let l be -1 + 1 - (11 + 0). Let w = i - l. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0222258 nanograms in milligrams?\nAnswer: 0.0000000222258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100023 (base 6) in base 15?\nAnswer: -2496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 1844570.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*b - 266, 2*h - 3*h = -5*b + 148. Is 22 a factor of -6*h\/3 - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(594\/(-8))*15\/10\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 382070 - 0?\nAnswer: 382070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5687973.52 - -41.2.\nAnswer: -5687932.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/107352 and -103\/1944.\nAnswer: 966168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-8)\/((-16)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.42 and -59.238.\nAnswer: -1446.59196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27531300.\nAnswer: 2, 3, 5, 91771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12078607 is divided by 460.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 13. Let m be b(10). Suppose 2*h - 32 = i - 8, 2*i = -3*h + m. Let y be 1\/(((-6)\/52)\/(-3)). Calculate the highest common factor of y and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**2 - 191*r**4 - 169*r**4 + 362*r**4 + 422*r**5 - 4*r**2 - r + 651 wrt r?\nAnswer: 25320*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026777159 - 16?\nAnswer: -16.026777159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105529?\nAnswer: 105529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1786 - 1306. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + j = 5*r + 2135, -4*r + 2144 = 4*j. Calculate the greatest common divisor of r and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52637.77 centimeters to kilometers.\nAnswer: 0.5263777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124621681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**3 - 3*l**2 + 7*l - 5. What is the tens digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7139, -1, 35, -2.\nAnswer: -2, -1, 35, 7139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22305.2 from 4.\nAnswer: -22301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -12.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6401 and 71317880.58?\nAnswer: 71311479.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 - 50*c**4 + 372*c**3 - 676*c**2 - 374*c + 726 = 0. What is c?\nAnswer: -1, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saqaffaswaqwhqhaa. Give prob of sequence fss.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(sqrt(9) + 1*sqrt(9)))\/(sqrt(80)*1).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2 - 3074*z + 21775. Calculate i(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*v - v + 9 = 0, 0 = -5*v + 20. Which is the closest to t? (a) -2\/7 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 30*r + 582. Calculate the least common multiple of 2 and z(31).\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2666, -4, -5, -3, 31 in ascending order.\nAnswer: -2666, -5, -4, -3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 2*x + 4*x)*(-15*x**2 + 33 + x**2 - 33) as n + h*x**2 + c*x + b*x**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/6 + 5*k**3\/3 - 19*k**2 + k. Let o(n) = -3*n + 7. Suppose -10 = 10*z - 8*z. Calculate z*g(y) + 7*o(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 5, 20, 2\/5, -6\/11, -1, -74?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117843629 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*0\/1. Suppose -2*l = 5*s + 52, s + 2*l = -t*l - 4. Let n = s + 19. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 528*j**4 - 7575*j**3 + 7046*j**2 = 0.\nAnswer: -542, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 9*f**2 + f - 3. Let v = 16 - 7. Let m be y(v). Solve 0 = -5*k + h + 5, -4*h = -4*k - m*h - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508787671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1742 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 1120.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -7*g + 111. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 7*s**2 + 6*s - 8. What is a(-7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 283 = -5*s - 4*h, 0 = -769*s + 764*s - 18*h + 223 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1 + (3 - -5). Suppose 3*m + g - k = 0, -3*m + 8*m - 22 = g. Suppose 2*p - 35 = -m*t - t, -5*p - 52 = -3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(20\/(-23)))\/((-627)\/(-2508))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 1118 = -4*x + 1206, -89 + 133 = -3*x + h + 70 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 10 + (-8 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261 - -413. Let d = j + -135. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 - 3*c**2 - 2*c + 2. Let m(d) = -16*d**3 + 15*d**2 + 11*d - 11. Suppose -6*k + 7*k + 11 = 0. Determine k*h(w) - 2*m(w).\nAnswer: -w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h + 4. Let w(m) = m + 1. Let z(j) = -j**2 - 12*j + 1. Let v be z(-12). Give v*p(n) - 4*w(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -5, -1605, -0.2, -2\/39, 4, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1362.7 + -1363. Let s(q) = q**3 + 3*q**2 + 2*q + 3. Let x be s(-2). Which is the smallest value? (a) 2 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25290476\/7 or 3612924?\nAnswer: 3612924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4896 = -2*a - 0*f, a = -f + 2440. Is a a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 9:19 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-1)\/(-4))\/((-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11236045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2831*r**5 + 107*r**4 + 915*r**2 + 9*r - 2 wrt r.\nAnswer: 169860*r**2 + 2568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + (132 - 133)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 9*z - 79. Let i be p(-9). Solve 4*s - i*m + 2 = -0, 0 = 5*s - 3*m + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 less than 6190102075172?\nAnswer: 6190102075172.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 35 = -0*m. What is the smallest common multiple of 7 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-3 + -1)*6.\nAnswer: -54*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.8. Let g(t) be the first derivative of t**4\/4 - 5*t**3\/3 - 9*t**2\/2 - 32*t + 14. Let q be g(7). What is the closest to p in q, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1042313, -5 in decreasing order.\nAnswer: 1042313, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11218859 or 11218856?\nAnswer: 11218859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.52 times -0.3\nAnswer: 1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-20) - (324190\/(-175))\/(-17). Which is bigger: -111 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*z**3 - 484*z**3 - 232*z**3 - 499*z**3.\nAnswer: -868*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -4\/5 (b) 0 (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 49 + 10 - 56 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 - 8*h**5 - 2*h**5 + 0*h**5 + 2*h**5 - h**5 + (18*h**3 - 154*h**2 + 154*h**2)*(3*h**2 - 5*h**2 + 3*h**2) + h**5 - 2*h**4 + 2*h**4.\nAnswer: 13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c**2 - 5*c - 5. Let a(x) = -5*x**2 - 3*x - 3. Let d(g) = 5*a(g) - 3*i(g). Let m = -12 + 14. Let j(l) = 3 - 2 + 6*l**m - 1. Give d(j(w)).\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/2 + 1309*o**2\/2 + 251424*o + 21428226 = 0. Calculate o.\nAnswer: -162, 1633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.057.\nAnswer: -4.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q - 234 = 5*h, 5*q - 159 = 3*h. Let a = -33 - h. Let s be (a - (-3 - -3))*1. Solve 3*c + 0*c + s = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.119 in 0.4, -4, 4587, -3\/7, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 10*c**2 + 11*c + 1. Let v be z(-11). Let i(d) = 7*d**3 - 2*d**2 + 2*d - 1. Calculate i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.4 + 11. Let u(l) = l**3 + 6*l**2 - 8*l - 5. Let v be u(-7). Let f be 2 - ((-2)\/v)\/1. Which is the third biggest value? (a) g (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 9, -6*q + 21 = 3*y + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1214*w - 25495. Let t be c(-21). Let b(g) = -g**2. Let j(r) be the third derivative of -r**5\/15 - r**4\/24 - r**3\/6 + r**2. What is t*j(i) + 2*b(i)?\nAnswer: 2*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(-7 + 238\/10). Let f be (-4)\/(-6) + 1610\/n. Which is greater: 20 or f?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in 2, -3, -1\/19, -3\/2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:09 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14662143403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.024 + 0.024. What is the biggest value in i, -4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4460.5 + 4457. Which is smaller: x or 16\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 8:12 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 605155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + y - 18, -4*y + 20 = -3*w. Let m = w + 5. Calculate the highest common divisor of m and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2 + 2)*(1 - 2*c + 4 - 3).\nAnswer: 4*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -159 + 420 + -281 - (-95 + 1).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -3 + -4 + 4. Suppose 0 = 2*p + 4*q - 406, -410 = p - l*p - 3*q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-386)\/(-102)) + 8130\/4878.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -828.3 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - -39 - -35 - 62?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 782370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*2)\/(sqrt(176)*4 - sqrt(11)) - (sqrt(140)\/(-2*sqrt(10)))\/(sqrt(49)\/(sqrt(35)\/sqrt(5))).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m + 200. What is u(-4)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -39*v**3 + 78*v**2 + 78*v + 78. Let n(c) = c**3 - c**2 - c - 1. Give -g(x) - 78*n(x).\nAnswer: -39*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1.8985, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**3 - v - 1. Let g be z(-1). Let j(k) = 3*k + 15. Let q(u) = 3*u + 14. Let o(x) = 5*j(x) - 6*q(x). What is the units digit of o(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzgpfz. Give prob of picking 1 f and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 213, 326?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:59 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r = -20*r - 9145. Calculate the highest common factor of 62 and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2840035 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -130995 divided by 2911?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-4) + -1)*-1. Let x = 1.7 + -1.3. Which is the nearest to f? (a) x (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 0*x + 4*x + (-5 + 5 - 1)*(3*x - 3*x + x) as q + g*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z. Let s(a) = -220*a**2 + 121*a + 121. Let i(o) = -11*o**2 + 6*o + 6. Let g(q) = 121*i(q) - 6*s(q). Calculate g(w(j)).\nAnswer: -396*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-10))\/((-16)\/280). Let o be 2\/(-3) + (-427)\/z. List the prime factors of (-17)\/(-3) - (-14)\/o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 24*o + 32*o)*(2*o**3 + 4*o**3 - 5*o**3) + 0*o**3 - o**4 + 0*o**3.\nAnswer: 49*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*15\/(60\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**2 + 89*p + 712. What is l(14)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4063, 7317, 10521, 13669, 16755?\nAnswer: 19773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**5 - 47*u + 30*u**5 + 103*u**5 + 7*u - 138*u wrt u?\nAnswer: 2560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1569940\/6)\/(2\/(-6)). Let a = y - -294970. Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132132012 (base 5) to base 13\nAnswer: -1a2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01542 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 405319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172106 is divided by 172043.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 1, -2, 226 in decreasing order.\nAnswer: 226, 1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzwwjjjzzjzzjw. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.3, 4\/91, -0.1, -1\/9, 0.4, -2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.107, 3, 0.2, 0, 2 in descending order.\nAnswer: 3, 2, 0.2, 0.107, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/(-42)*(-6)\/(-10)*2\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 4:18 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:20 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/24 - (-35)\/28. Which is the third biggest value? (a) 0.4 (b) -3 (c) -0.034 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 8*p**2)*((-8 + 0 - 3)*(2*p + 2 - 2) - 5*p + p + 3*p - 2*p + 1 - 1).\nAnswer: -175*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 4. Let c be ((-2)\/3)\/(5\/45). Let b be 0\/(h\/(15\/c)). Solve l + l = b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10985*l + 841 - 5516*l - 5543*l wrt l.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/79 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 3. Let a(g) = g**3 - 22*g**2 - 45*g - 56. Let l be a(24). Let d(y) = -24*y - 16. Give l*c(r) + 3*d(r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, s: 1, b: 1, h: 2, d: 3, p: 1}. What is prob of sequence she?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.793426 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 5*b + z - 872 = 0, -2*z + 8 = 0. Let j = b - 104. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/35 at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11797, 11801, 11807, 11815?\n\"Answer: g**2 + g + 11795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -215*t**2 + 427*t**2 - 3*t**3 + 20 - 203*t**2 + 4*t**3 + 10*t. Let s be u(-8). Solve 0 = -2*r - s*r + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, m: 1, v: 1}. Give prob of sequence km.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1452359.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 14424732\nAnswer: -28849464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 220863 - 220688.9556. Let p = o - 174. What is p rounded to three dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -32. Let w = 6 - f. Which is the third biggest value? (a) -4 (b) w (c) 1 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -797, -1316, -2735, -5504, -10073, -16892?\n\"Answer: -75*k**3 + 6*k - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (2 + 5 + -7)) + 10 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1959677 to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 2*n)*(-4 + 2*n**2 + 4) - 9*n**3 - 331*n**2 + 322*n**2 + 4*n**3.\nAnswer: -3*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3 - 2) + -37. Let n = -19 - x. Let z be ((-2)\/6)\/((-2)\/n). Solve -z*v = -5*l + 31, -5*l + 12 = 4*v - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 7410 + 1542 = 0. Let d = 483 + y. Let t(p) be the second derivative of -p**4\/12 - 2*p**3\/3 + 3*p**2 + p. Give t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17804.4 - -17818.399984. Let u = -14 + t. What is u rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14968501617 to the nearest 100000.\nAnswer: -14968500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -83 + -9?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10401*k*r**3 + r**3 + 3035*r**2 with respect to k.\nAnswer: -10401*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110955 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 744, -2, 1\/2, -0.05, 0.121?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13639529 less than -0.05?\nAnswer: 13639528.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 3. Let k = -14 + 25. Let l = 15 - k. Let u be d(l). Round u to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j - 2. Let i(s) = -4*s**3 - 17*s**2 + 4*s + 37. Let d be i(-4). Let a be 5*-1*3\/(-5). Let t(k) = 7*k + 1. What is a*y(m) + d*t(m)?\nAnswer: -4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 12) to base 14.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1037*s**4 - 893*s**3 + 8*s**2 + 111162*s wrt s?\nAnswer: 24888*s - 5358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.38 + -14.38. Which is the nearest to 0? (a) 5 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11563 - 11560. Solve 2*a + 4*s - 4 = 6, -u*s - 10 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b = -53*b - 24. Suppose 5*m + 5*v + 1712 = 7*m, -b*m = -v - 2594. List the prime factors of m.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 501\/(-12) + 3\/(-12). Let t = u - -47. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (1 + -14)) + (4 - 2). Differentiate -39*x**3 + 31 + 41*x**3 - 6 - s*x**2 wrt x.\nAnswer: 6*x**2 - 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/((-8 - -7)*2). Suppose 0 = -4*y + 7*y + 54. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1182*m - 1523*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5401 - 0.0461. Let v = -0.006 - g. Which is the second biggest value? (a) v (b) -2 (c) -0.08 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 622, 1255, 1888?\n\"Answer: 633*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 29611692.\nAnswer: 29611697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -57*g**2 + g - 3. Let v(s) = s**2 + s + 29. What is the remainder when w(-1) is divided by v(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**3 + 3*q**2\/2 - 11*q - 30. Let x = 56 - 62. What are the prime factors of p(x)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 23 = 1. Let a = -22 + 30. Let s be 0 + a\/((-6)\/3). Put s, g, 3 in decreasing order.\nAnswer: 3, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12877852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2*x + l**2 - 41*l*x + 1225*x wrt l.\nAnswer: -2*l*x + 2*l - 41*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2396, -3653, -3774, -2759, -608?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 32*x**2 - 16*x**2 - 28*x**2 - 1 - 15*x**2. Let b(q) = q**3 - 49*q**2 + 50*q - 95. Let f be b(48). What is j(f)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5083\/7 - 725. Let q be (-24)\/(-14) - (-1 - -1). Let -2\/7*y**4 - i*y - 8\/7*y**3 - 2\/7 - q*y**2 = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 266048520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/2453 + 161\/139821. Let w = m + 1867\/4389. What is the third smallest value in 0.1, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6619808 (base 10) to base 15.\nAnswer: 8ab658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863136\/208 - (-4)\/13?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 43. What is the remainder when k is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67458183 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 13) in base 12?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from {j: 2, t: 1, h: 2, o: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h**3 - 87*h**2 + 14*h + 37. Let t be q(-11). Which is the biggest value? (a) -5 (b) 1 (c) t (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from hhkkmbkbxbf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 7, n: 8, g: 2}. What is prob of picking 1 j and 2 v?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 - -67. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = o + 17, -2*x - 10 = -5*o - 35. Suppose -5*y = 4*a - 1520, -5*a = -a + x. Does 44 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1060)\/159)\/(3\/9 + -1). Solve -s + 4*r + 20 = 0, m*s - 5*s = 4*r + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13255.\nAnswer: 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 18 = 3. Suppose y*k = -k + 68. Suppose -59 = -3*v + 2*j - k, 2*j = 0. What is the remainder when 55 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 407. Let m = -150 - g. Suppose -5*f - 15 = 0, -4*f - m = u - 578. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -236 - -239. Let n = -5 - -9. Find the third derivative of -x*j**2 + j**4 - 15*j**n - 5*j**2 wrt j.\nAnswer: -336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - -1.44. Let d = x - -7.5. Let v = 8.9 - d. Which is greater: v or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 938*o + 3577. Give b(-4).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*((-57912)\/608 - -96).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2325.578 decades?\nAnswer: 232.5578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 12:25 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2559921 or 7679762\/3?\nAnswer: 2559921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 5*b - b + 2*b + 1 - 1 + (4*b + 0*b - 2*b)*(-2 + 3 + 0) - 3 + 3 + b - 112*b - 453 + 453)*(0*b + 2*b - 3*b) to i*b**2 + z + k*b and give i.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 66*x - 52. Calculate a(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90999191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*g - 296*g + 180185 - 261257 = -272*g for g.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 46. Let n be x*((-320)\/(-4) - 1). Let p = n - -169. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1146, -4146, -9150, -16158, -25170?\n\"Answer: -1002*f**2 + 6*f - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342041 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -2\/7, 19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -35*p**2 + 8239*p**3 - 8238*p**3 + 18*p**2 - 37 + 2*p. Calculate j(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*-0.3\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 1. Let y be 1\/2*-2*3. Let h be m(y). Let p = -14.1 + 14. Put -5, p, h in descending order.\nAnswer: h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -4\/177979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 1. Let f be u(-1). Suppose k = -1 + f, -3*k - 312 = -3*z. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -16*j. Let o be 2*(-4)\/(-6) + (-4)\/(-6). Suppose o*z + 0 = 18. Let s(b) = 10*b - 21*b + z*b. What is v(s(c))?\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18792\/43897 - -3\/6271. Determine g, given that 0 - z*g**3 + 0*g**2 + 3\/7*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306420644 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/3)\/((-3)\/2). Let m be 0 + -2*58\/j. Solve 0 = 5*y - 4*s - m, 5*s - 5 = -y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2223 - -2222. Let y = -0.03 + -0.27. What is the closest to x in y, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, y: 1, j: 4, h: 5, q: 1, l: 3}. Give prob of picking 1 q, 2 j, and 1 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 5*b - 2. Let y be j(-4). Suppose -4*v + 18 = y. Calculate the remainder when 6 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.9 - 29.705. Round k to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n + 22. Let y be s(-7). Let o be ((-465)\/y)\/((-1)\/(-2)). Solve 3*m + v + 0*v = o, 10 = 2*m - 5*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**3 + 6*p**2 - 2. Let k(q) = -5*q**3 + 3*q**2 - 1. Let u(o) = 2*o**3 + 10*o**2 + 2*o + 13. Let s be u(-5). Determine s*n(j) - 5*k(j).\nAnswer: -2*j**3 + 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 8*n**2 + 6*n + 7. Let t be g(-7). Suppose -48 = -2*k + t. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 897 + -919. Which is the closest to 1? (a) 0.2 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296598.\nAnswer: 2, 3, 49433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*n**2 + 0 - 1\/6*n.\nAnswer: n*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624559 is divided by 844?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394157754\/914095 + -2\/182819. Let h = -432 - v. Which is the closest to h? (a) 2\/13 (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -96*p + 50*p + 48*p + 17*p**2 - 13. What is the units digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3326169303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.4 + -27. Let p = 0.9 - f. Which is the smallest value? (a) p (b) 20 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (107 - 17 - 59)*((-2*c + 2*c - c)*(-2*c**2 - c**2 + 2*c**2) + c**3 - c**3 + c**3) in the form y*c**2 + j*c**3 + u + s*c and give j.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 19. Suppose j = -12*w + 17*w. Suppose 5*v - 265 = -5*b, -w*b + 2*b = 4*v - 112. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {k: 1, u: 1, m: 1, e: 1, r: 1, z: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 316257488 to the power of 1\/2, to the nearest integer?\nAnswer: 17784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125771 - 52?\nAnswer: -126043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1066575245\/1182 + -902348. What is the common denominator of 16\/591 and n?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**4 + 2*j**2 - 7992249*j - 48546579?\nAnswer: 4*j**3 + 4*j - 7992249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17157 + 17156. Let s(m) = 33*m + 35. What is s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43132619 or -43132620?\nAnswer: -43132619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 - 2*b**2 + (-4 + 0 + 0)*(-3*b**2 + b**2 + b**2) + 2 - 2 - 2*b**2)*(5*b**3 + 0*b**3 - 4*b**3).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(3 + (-7)\/3). Suppose -4*t + o + 8 = 2*o, n*t + 3*o = -3. Solve -2*m - t*m = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -6) + -1 + 4\/1. Let p(m) = -6 + 6*m + 8*m**2 - 8 + 6*m - 14*m - m**d. Let o be p(7). Calculate the highest common factor of o and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -9\/5 (c) -31 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**8\/20160 + v**7\/210 + 5*v**6\/144 + 11*v**5\/60 - 67*v**2. Let o(k) be the third derivative of d(k). Factor o(b).\nAnswer: -(b - 25)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3866.859282 to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -58*u - 57. Let z be x(-1). Which is the second smallest value? (a) z (b) -24 (c) -28 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 69*n**2 - n. Let u be q(-1). Let o(a) = 70*a - 21*a**2 - u*a. Let p(i) = -2*i. What is p(o(b))?\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmtqzmtqd. Give prob of sequence qjdq.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.02405 rounded to one decimal place?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*b + 504*b - 235*b.\nAnswer: 83*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 631533.\nAnswer: 12630660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191860 and 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + (-821)\/4. Let g = -293 - a. Let r be (-30)\/20*g\/3. Calculate the highest common divisor of r and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904627 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = s - 3, -5*s + 3*j = -69. Suppose -s = 2*w + w. Which is greater: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 5*d + 5*d)*(0*d**3 + 2*d**3 - d**3) + (2*d + 3*d - 3*d)*(-d**3 - d + d) + 5*d**4 - 4*d**4 - 2*d**4 - d**4 + d**4 - d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l, -7*x + l - 22 = -4*x. Sort 1, x, 0.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045513244 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67\/237 - -4\/79. Find g such that -2\/3*g**2 + 0 - a*g**3 - 1\/3*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1000?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 7*b + 33. Let a(f) = -36*f - 1. Let c(n) = -7*n. Let t be ((-1)\/2)\/(27\/3 - 175\/20). Determine b*c(u) + t*a(u).\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/9981015 and -23\/27?\nAnswer: 89829135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -56, -2\/9, 5, 318, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -31304250 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**6\/360 + 7*o**5\/120 + o**4\/3 + o**3 - 3*o. Let n(z) be the second derivative of b(z). Determine n(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*y - 7, 0*y - 3*a = -3*y + 3. Suppose -y*o + 19 = 5. Put -3, o, 1 in descending order.\nAnswer: o, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:39 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 0*y**3 + y**3 + 1 + 0*y**3. Let d(f) = -7*f**3 + 7*f**2 - 6*f - 12. Let j(s) = d(s) + 6*r(s). Determine j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(36)*-2))\/(sqrt(1296)*-1 + sqrt(9) + sqrt(9) + (sqrt(144)*-1 - sqrt(9)) + sqrt(9)))**2.\nAnswer: 1\/3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*6*296\/(-1036)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4068*t - 4068*t + 138*t**3 + (-3*t**3 + t**2 - t**2)*(3 - 1 - 1) + 0*t**2 - t**3 + 0*t**2 + (2*t - 2*t + 3*t)*(-1 + 2*t**2 + 1).\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 52. Let p = -4 + x. Solve -3*l - 9 = p*l - 3*v, -3*l = -v + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 65.638, -0.5, 37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 21273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**6\/40 - r**3\/2 + 2*r**2 - 12*r. Let h(q) be the first derivative of p(q). Differentiate h(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127404369*a**3 + 226250676*a.\nAnswer: 764426214*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 + 0*y**2 + 2*y**2 + y**2 - 7*y - 2*y**2.\nAnswer: y*(y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(200) - (2 + (sqrt(200) - (-2 + sqrt(200))) + sqrt(200)) - (sqrt(200) + 0 + -4 - sqrt(200))*5*4)**2.\nAnswer: 1520*sqrt(2) + 5976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -29413 < 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2105321 (base 7) to base 13\nAnswer: -8b7b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 4. Let k be u(-4). Let l be 208\/30 - k\/6. Factor 12\/5 - l*y + 6*y**2.\nAnswer: 2*(3*y - 2)*(5*y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2338965387 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u + 967 - 1011 + 4*u to f + j*u and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1375)\/sqrt(11) - (-3*sqrt(180) + sqrt(5)).\nAnswer: 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 40 = 2*z, -2*z = 3*m + 2 - 56. Solve -12*j + z = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -48 (c) 5\/6 (d) 141 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184681512 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 354\/1229 (b) 2\/65 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1184*f**2 + 12*f - 112. Let z(s) = 2369*s**2 - 25*s + 254. Let x(a) = 13*v(a) + 6*z(a). Find the second derivative of x(i) wrt i.\nAnswer: -2356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4\/1183, -4, 9, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**2 + 65*k + 23. Let h(w) = -2*w**2 - 16*w - 6. Let v(t) = 9*h(t) + 2*i(t). What is v(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -467195*-0.4\nAnswer: 186878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 + 844*n**3 - 25152*n**2 + 172090088*n wrt n?\nAnswer: -24*n**2 + 5064*n - 50304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*x - 6401 = 96*x. What is the derivative of 6401*s - 102 - x*s + 16*s**4 wrt s?\nAnswer: 64*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 3*m - 2. Let k be 2\/((-3)\/6 - -1). What is the units digit of s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -5*a - 4*w, w = -3*a - 191 + 217 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z - 3. Let b(c) = -c - 1. Let q(a) = 3*b(a) - w(a). Let v(g) = 2*g + 2. Let k(y) = y**2 - 3*y - 3. Let i(j) = -2*k(j) - 3*v(j). Give i(q(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**2*q*v**3 + 4*f**2*v**3 + 28*f**2*v + q*v**3 - q wrt q.\nAnswer: 4*f**2*v**3 + v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 2*j - 1. Let p(g) = 5*g**2 - 4. Let b(r) = 6*r**2 - 5. Let m(h) = 4*b(h) - 5*p(h). Let y(l) = 5*m(l) + n(l). Let y(z) = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877613 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/114 + -773\/570. Let k(o) = o**3 - 9*o**2 + 22*o - 21. Let x be k(6). Which is the closest to x? (a) v (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2, -5 in descending order.\nAnswer: 2, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 699802 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/14496248 and 71\/6690576.\nAnswer: 86977488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224edb (base 15) to base 13.\nAnswer: 454070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 - 3 + 3. Let d(h) = -20*h + 18*h + h. Calculate d(t(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {t: 13, e: 3, o: 4}?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-11))\/x**(2\/27))\/(x**16*x*x*(((x**(2\/3)*x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(-722\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3 - 807*r**2 + 55692*r - 438048 = 0. What is r?\nAnswer: 9, 104, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 60. Calculate h(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/28)\/(3605\/(-618)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 572 = 4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a millennium in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5015, -10046, -15095, -20162, -25247?\n\"Answer: -9*j**2 - 5004*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 (base 12) in base 13?\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1097, 1129, 1163, 1199, 1237?\n\"Answer: y**2 + 29*y + 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {j: 12, p: 7}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 3. Suppose 1 = 3*k - 5. Suppose 2*f - 16 = -k*f. Let s be i(f). Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 10123123303?\nAnswer: 10123123310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13007 + -13005. Solve g = n + s, 5*n - 4*g - 6 = 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 11*q - 2. Let b be l(5). Suppose b*h + 8870 = 8*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33000021333 (base 4) to base 12.\nAnswer: -1397b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -2. What is the closest to -3 in -3\/4, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 22*c**3 - 10*c**2 + 14*c - 49. Let f be h(11). Calculate the greatest common factor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 20*u - 100. Solve -17*n + 42 = u*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(12)\/sqrt(4) + -4 + -1*sqrt(432) + 5 + sqrt(75)*-2 + sqrt(75))**2 + 1*sqrt(147)*-1 + 4 + -1.\nAnswer: -37*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 390, 885, 1578, 2469?\nAnswer: 3558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 966201271 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 144218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32*1*(-2)\/(-2). Suppose i = 5*b - 9, 0 = -3*i - 0*i + 5*b + 13. Suppose i*x + 288 = 12*x. Calculate the highest common factor of k and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1 + 2*p - 6*p + 3*p. Let f(v) be the first derivative of 2*v**3\/3 - 3*v**2\/2 - 2226. Give -2*a(i) + f(i).\nAnswer: 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/15 - -11\/30. Let s = -5 - -5. Which is the closest to 2? (a) 2 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -55 - (0 + 7 + -11)*-1. Calculate the greatest common divisor of 468 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45692 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -44*u**4 - 1512*u**3 + 13536*u**2 - 24448*u - 10752 = 0.\nAnswer: -42, -4\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/84 + (-156)\/42 + 61\/7 and 91\/136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -396 - -391. Sort 3, a, 2 in decreasing order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-162)*(-24)\/16*16\/26.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/5)\/((-78)\/(-104))*36\/224?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 - 5)*(-4 + 0 + 3)*(3*c**2 + c**2 - 3*c**2)*(2*c + 0 + 0) as v*c**2 + k*c + i*c**3 + m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -89.000236. What is u rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 2*k - 712 = 6*r, 0 = -3*r - 3*k + 516. Let j = r - 172. Solve -j*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1678 - -1677. Which is bigger: s or 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 1:52 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-56)*(-14)\/4. Suppose 5*p = -0*p + 30. Calculate the remainder when (1 - -33)\/(4 - f) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:47 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -11111220200201000?\nAnswer: 11111220200200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.039092 - -3.04. Let h = w - 0.001. What is h rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 46056*y + 265144392.\nAnswer: 2*(y - 11514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 214072424 divided by 1?\nAnswer: 214072424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.027 - -0.0269938. What is w rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 88 = h, 70 = -4*w - h - 49. Suppose 0 = p - 2*p - u + 48, -4*u = -2*p + 78. Let r = w + p. Solve 6 = -5*x - r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 7*g**2 + 3*g + 5. Let c = -7 - -8. Let i be c\/3 + (-68)\/(-12). Let l be u(i). Solve -4*s + 14 = 5*t + l, 3*t + 35 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079221 is divided by 92.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*l - 24. Let h(z) = -7*z - 3. Let f be h(5). Let v = l - f. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*n - 2, -4*n - 12 = -r + n. Is 9 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58181339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i - 10*i - 1 - 18*i)*(-i - 3 + 3) as q*i**2 + o*i + m and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2285 and 3739631.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-5) + 2\/(-5). Let h be b\/(-5) - (-66)\/15. Suppose h*x - s - 22 = 2*s, s + 6 = x. Calculate the greatest common divisor of 8 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00179028 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495955069 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*d - 178 + 365 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -18 - 6. Suppose 0 = -4*k + 4 + 4. What is the remainder when m is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 115 + 51 + -105.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.043835274 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -1621*c + 1611*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2284 - 2284.01. Let s = -0.46 + 0.1. Let i = s + 0.06. What is the closest to -2 in u, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -2)\/(4\/(-130)). Put -7, 3, x in decreasing order.\nAnswer: x, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-109105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50147896.\nAnswer: 2, 257, 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2315*y + 4 - 4 - 22275*y + 2*y**2.\nAnswer: 2*y**2 - 24590*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1868\/11 - 170. Let h = 0.008 - 10.508. Let o = 10 + h. Which is the third smallest value? (a) s (b) o (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 9. Suppose -3 = -h + b. Solve h = -4*w - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 45b9?\nAnswer: -45bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-39)*(-18)\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -20.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5848018867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 162, 4194, 15174, 36576, 71874, 124542, 198054, 295884?\n\"Answer: 579*h**3 - 21*h - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 408587299 and 0.1.\nAnswer: 408587299.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 151*m**2 - 1503*m - 4. Determine g(10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 204333*g**2 + 3*g. Let i(l) = -46*l. What is i(k(w))?\nAnswer: -9399318*w**2 - 138*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -29044.\nAnswer: -11617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 139*w + 601. Let t(a) = -902*a - 3905. Let x(z) = 5*t(z) + 33*y(z). What is the derivative of x(k) wrt k?\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 4*a**4 + 4*a**4 + (-a + 2*a - 6*a)*(-a**3 + 5*a**3 - 2*a**3) + 1 + 2*a**4 - 1 + (-2*a + 0*a + 4*a)*(a**2 - 3*a**3 - a**2).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16400*o**2 - o + 5. Let w be a(5). Round w to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -0.025770704.\nAnswer: -1.974229296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(76)\/(sqrt(4) - -2*sqrt(36)).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/56 + -1*4\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 71?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 268281649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -11*k. Suppose k = 2*n - 22 - 18. Suppose n = 6*u - 100. Which is smaller: 22 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29790973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12548 and 2.2.\nAnswer: -27605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 122*x**2 - 724*x. Give d(7).\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 86.85842 years?\nAnswer: 0.08685842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 8 (b) -9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 2.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69120 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 + 2*w**2)*(-w**2 - 2*w**3 + w**2) + (44 - 44 - 10*w**2)*(-2*w**3 - 4*w**2 + 4*w**2).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 + 1222135*c**2 - 74681308975*c + 74680086845 = 0. Calculate c.\nAnswer: 1, 122213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 466+256469\nAnswer: 256935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -b8553?\nAnswer: b854b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*x = 10, -6*b = -b + 4*x - 22. What is the smallest common multiple of 34 and b?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8521764 and 8904?\nAnswer: 119304696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 3, d: 5, y: 5, v: 2}. What is prob of picking 1 m, 1 y, and 1 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 104965691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + v - 3*v = 6, -5*a - 4*v = 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -0.4, -3\/5, -4, -2\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21510 and 66203.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*q**5 + 1 - 2*q**5 - 1 + (-6*q + 2*q + 2*q)*(5*q**4 - q**4 - 3*q**4) + 4*q**5 + 2*q**5 - 4*q**5 - 3 + 3*q**5 + 3.\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3712 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 1. Let b(x) = -2*x**2 - 4. Let v = 7 + -8. Let r(p) = p**3 + 4*p**2 - 1. Let u be r(-4). Calculate u*b(i) + v*m(i).\nAnswer: i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1875 - 1573. Is 39 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) 552 (c) 1 (d) -20.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}