diff --git "a/data/dm_maths/full_data_2/1046_11255.jsonl" "b/data/dm_maths/full_data_2/1046_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1046_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(d) = -4*d**2 - 1. Let x(f) = f**2 + 10*f + 23. Let r be x(-7). Let s(w) = 21*w**2 + 6. Give r*s(p) + 11*v(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -1\/5 (b) 3 (c) 1\/4 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1ad058 (base 16) to base 3\nAnswer: 10022021112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose -c*r = a - 10, -3*a + 0*r - 6 = -3*r. Suppose a*i = 372 + 70. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -224*s**2 + 5*s - 10. Let v(c) = -1119*c**2 + 24*c - 48. Determine 24*o(l) - 5*v(l).\nAnswer: 219*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-4)\/3. Let n be 1\/((-2)\/10 + 0). Sort n, 2, t.\nAnswer: n, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.482 + -1.282. Which is the closest to k? (a) 2 (b) -2\/5 (c) 1\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - -2325?\nAnswer: 2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(3*l**2 - l**4 - 3*l**2) - 2*l**4 - l**4 + 4*l**4 + (-3*l - l**3 + 3*l)*(l + 12*l - 4*l))*(-1 - l + 1).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 25 + 7. Let w be 2\/(-4) + 20\/y. Suppose -5 = w*c - 35. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -26. Let z be 2\/(-1) + 1 + 1. Suppose z = -r*s - 0*s + 16. Solve -s*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 1*sqrt(85))*4)\/(sqrt(245)*-2 + sqrt(5)).\nAnswer: -8*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-6 - -15) + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 6*p**2 + 14*p - 19. Let d be x(8). Let m(z) = 50*z**2 + 35*z - 35. Let b(i) = 3*i**2 + 2*i - 2. Give d*b(u) + 2*m(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 48, -0.3734, 10?\nAnswer: -0.3734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 13 (c) -0.4 (d) -10\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.127726.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -39. Suppose -5*o + 8 = -37. Let x = o - 1. What is the remainder when b is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h**2 + h + 1. Give g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 17*q - 150. What is the highest common factor of q and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/40 and -145\/2076?\nAnswer: 20760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 24*c - 46. Calculate i(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 4*n**4 + 4*n**4 + (n**3 - 3*n**3 + 3*n**3)*(-35 + 15*n + 35).\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 4*s. Let c be t(4). Suppose -2*o = -c*o - 24. List the prime factors of (-1)\/(-3) - (-128)\/o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -314*d**4 - 646*d**3 - 3*d**2 + 173317203 wrt d?\nAnswer: -1256*d**3 - 1938*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 192? (a) 0.5 (b) -4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(0 - (5 - 4)). Suppose z*w = 3*m - 4*w - 8, -5*m + 3*w = 5. Let g = -4.99 - 0.01. Put g, 1\/9, m in decreasing order.\nAnswer: 1\/9, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-12)\/(z\/(z**(1\/16)*z)))**(-50))**(4\/7) assuming z is positive.\nAnswer: z**(4775\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 195890?\nAnswer: 195890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-22) - 21\/(-12)*2. Solve 0 = t - k*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -785*m**2 + 17194*m + 1551. What is c(22)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64781948?\nAnswer: 2, 7, 11, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide (40\/(-6) + 0)\/(3\/(-540))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(3\/1788). Is w\/10 - (-8)\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**5\/20 + 7*h**4\/48 - 7*h**3\/12 + 3*h**2\/8 + 8*h + 4. Factor k(c).\nAnswer: (c - 1)*(c + 3)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1826\/47 or -39?\nAnswer: -1826\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94347 divided by 8577.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 180, 183, 184, 183, 180, 175, 168?\n\"Answer: -y**2 + 6*y + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -g + 190 - 65, 2*j + 5*g - 105 = 0. Let z = -14 + j. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20644605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-8) - -2 - 15\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 44.96851 and -5.\nAnswer: 39.96851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 67*m + 106. Let j be w(35). Solve -j = 2*d + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12318027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/77 - 480\/22. Let z be (-8)\/40 - x\/10. Solve 0 = -5*m - 10, 8 = -3*u - z*u - 4*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/5 - 124*y**2\/5 + 236*y\/5 - 116\/5.\nAnswer: 4*(y - 29)*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1569818209 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 - -13?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1416*f**2 + 200*f + 984. Does 226 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55926537*-3.\nAnswer: 167779611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-16) + 69\/360 + -1. Let a = -268\/255 - y. What is the nearest to -0.2 in 0.5, a, 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 443 = 407. Find the third derivative of 9*d**6 - 5*d**4 - 25*d**6 + 5*d**4 - 49*d**2 + 14*d**6 - 25*d**o wrt d.\nAnswer: -240*d**3 - 600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3 = 3. Let f(w) be the second derivative of 1\/3*w**3 + l*w**2 + 0 - 3*w. Let x(t) = -t**2. Calculate f(x(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 7989376*a - 7978766108672.\nAnswer: -2*(a + 1997344)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 2:53 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119.237 - 2.537. Let m = s - 79. Round m to 0 decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/x**(18\/5)*(x**(-2\/67)\/x)\/x**(-8) assuming x is positive.\nAnswer: x**(-546\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let n(w) = -w. Suppose -11*r - 3 - 30 = 0. Calculate r*n(l) - v(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/4, 0.3, -1494505?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/150)\/((-51)\/(-30)))\/((-2)\/5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -25*c + 599. Suppose -c = 8*k - 44. Let h(j) = j**3 + j**2 - 3. Let t be h(0). Sort 2, t, k in increasing order.\nAnswer: t, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195964?\nAnswer: 2, 48991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*r + 14. Let l = 370 - 1111\/3. Let h = 1 - -3. Which is the closest to l? (a) -3\/2 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - 17. Let s = o + -53. Let z = s - 37. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1344.\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10822446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90721647.\nAnswer: 3, 3360061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 18 = -18*s. Suppose -s = 10*a + 22. Let w(t) = 2*t + 11. Let u be w(a). Solve -x - 1 = u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -10, 19 in increasing order.\nAnswer: -10, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49\/4 - 12. Let b = 0.02 - -0.03. Let o = b - 0.45. What is the closest to -2 in 5, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by -570861.\nAnswer: -83\/570861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-30)\/4))\/((-7)\/((-378)\/3)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210160227.\nAnswer: 3, 173, 307, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrfrffrfr. What is prob of picking 1 f and 1 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 4, k: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*c + 218 = 0, -c = 5*n + 4*c - 230. Suppose q + 42 = 3*q. Calculate the highest common factor of n and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 21*f**2 - 19\/4*f**4 + 0*f + 6*f**3 + 0 - 1\/12*f**6 + 16\/15*f**5. Solve h(u) = 0 for u.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10202 or 10201?\nAnswer: 10202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 103771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 2. Suppose -3*j - 3*t = -t - 14, j + 4*t - 8 = 0. Let f(d) = 2*d**3 - d + 1. Let n be f(1). Let q be 10*(10\/j - n). Give a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 2*w + 74 = 0, -a + 21*a = 17*a - 5*w + 19 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*s + 20. What is the closest to -0.2 in s, -1.1, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 1:11 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 64914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*a - 323689 = -306*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 4*a**2 - 6*a - 11. Let u(q) = 1 - 224*q**2 + 0*q + 108*q**2 - 2 + 115*q**2 - q. Calculate 6*u(h) - y(h).\nAnswer: -h**3 - 2*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 3*m + 0 + 1\/15*m**4 - 1\/10*m**2 + 1\/10*m**3. Factor k(u).\nAnswer: (u + 1)*(4*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8995454 + -7585.5.\nAnswer: -9003039.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -349334 by 18386.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001178797 to 7 dps.\nAnswer: -0.0001179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 17, -11, 2.\nAnswer: -24, -11, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1317, 2640, 3967, 5298, 6633?\n\"Answer: 2*p**2 + 1317*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264087 - 79808 = 18*b - 263309. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200994 is divided by 1763?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -13. Suppose r - 4 = 4*c, c + 3 = r - w. Solve -r*o - 8 = -8*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 65 = 55. Which is the second biggest value? (a) 0.27 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 9. Determine m(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 33, -1\/39, 5?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(475) + sqrt(475) + -3 + sqrt(475) + sqrt(475) + sqrt(475) + sqrt(475) + -2 + 3.\nAnswer: -2 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2546 - -2542. Suppose -3*w = -3 - 12. Suppose w*r - 6*y = -y + 40, 0 = -5*r + y + 28. Sort m, -2, r in decreasing order.\nAnswer: r, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 24*w**2 + 13 + 19*w**2 - 51 + 124 - 5*w**2.\nAnswer: 38*w**2 - 2*w + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -27*a**2. Let k(q) = -39*q**2 - 16*q - 24. Let t(v) = -v**2 + 2*v + 3. Let y(z) = k(z) + 8*t(z). Calculate y(n(c)).\nAnswer: -34263*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3852890*l - 3852890*l + 1482*l**2.\nAnswer: 1482*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 20. Let b(n) = n**2 + 3*n. Let j be b(-3). Does 10 divide y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53056976*j**4 - 99260969*j**2.\nAnswer: -1273367424*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 14 = 2*q, -4*q = 5*r - 10 - 16. Suppose -20 = 4*d + o - 2*o, 0 = q*o + 16. Let u(a) = -a**3 - 5*a**2 + 5*a. What is the units digit of u(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 10*s**2. Let v(k) = -57*k**2 + 27*k**2 + 29*k**2. Calculate 4*a(d) + 36*v(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r - 39 + 45\/4*r**2 = 0.\nAnswer: -26\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l**2 + 36*l**3 - 37*l**3 - 23*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-945)\/825 - (-6)\/11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*q**4 + 1441*q**2 + 4765 wrt q.\nAnswer: -20*q**3 + 2882*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 7 - -34) + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**2 - 7055*l - 2541860. Let a(y) = -y**2 - 5*y + 1. Let f(m) = 15*a(m) + x(m). Factor f(q).\nAnswer: -5*(q + 713)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34609502 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 11*z**2 + 16*z - 29. Calculate f(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -57. Let g(f) = -13*f - 49. What are the prime factors of g(x)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/((-24)\/12 - -6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/(61\/427)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2)*2)**2 - sqrt(16)\/(sqrt(24)\/sqrt(3)).\nAnswer: -13*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 = -14*t. Let m(x) = 71*x**2 + 4*x + 3. Let l be m(t). Let s = l + -193. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**8\/560 - c**5\/30 + 7*c**3\/6 + c**2. Let x(d) be the first derivative of w(d). Find the second derivative of x(m) wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2089 - 917. Let p = -676 + s. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 3178.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzmu when four letters picked without replacement from {z: 1, v: 3, m: 2, u: 1, b: 4}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 713 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19637981 is divided by 1638?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2563577.\nAnswer: 139, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*b**3 + 200*b + 13*b**3 - 65*b - 20*b**2 - 69*b - 68*b to m*b + d + g*b**2 + z*b**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366 and 2257?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109 * -213258.\nAnswer: 23245122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-66) - (2 - 22\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*l + 5*l - 6*l + (-12*l + 5*l + 3*l)*(1 + 0 + 0) to y + w*l and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**3 - 10*u**2 - 10*u - 8. Let m(r) = -6*r**3 + 10*r**2 + 9*r + 7. Let i(t) = 5*k(t) + 6*m(t). Let s be i(10). Let y = 129 - s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4752, -4, -16, 2 in increasing order.\nAnswer: -4752, -16, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 1\/7*j**5 - 4\/7*j**2 + 2\/7 + 1\/7*j + 2\/7*j**4 - 2\/7*j**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from mmmmmmmmcmccmbmmmmmm.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-16))\/((-22)\/(-88))*2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from oooooeoooeooooeo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 960997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 13 + 5)*(140*s + 3*s + 8*s).\nAnswer: 1661*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -4*b + 9*b. Let r = 29 - 13. Suppose -5*a + 4 = -r. Calculate the highest common factor of a and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/89 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*49 - 57\/19. Let f = 256 + l. Suppose 145 = 2*y - f. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 3 + 6*o + 3*o + 5*o**2 - 2*o**2. What is s(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n - 6. Let i be y(-6). Let t be (-2)\/10 + (-66)\/(-30). Put t, i, 4 in decreasing order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -73\/3, -3, -0.1, 0.4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(544) - sqrt(34))*6 - sqrt(34)*-2*-5))\/(5*sqrt(98) + sqrt(22)\/(sqrt(11) - 2*sqrt(11))))**2.\nAnswer: 256\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 896 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8450 is divided by 3452?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**3 - 2*f**3 + 0*f**3)*(1376*f + 4653*f + 821*f) to x + l*f**2 + d*f + w*f**3 + g*f**4 and give g.\nAnswer: -6850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12260, -24511, -36766, -49025, -61288, -73555, -85826?\nAnswer: -98101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13976.01 months in years?\nAnswer: 1164.6675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*p + 81 = 7, -2*u + 47 = 3*p. Let h = u - 3. What is the remainder when 24 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 - 12 = 0. Let d = 14 - q. Calculate the lowest common multiple of (-35)\/(-2) - (-3)\/d and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*1\/6*240\/(-80)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*z + 4*y, 0 = 2*z - 3*y + 15. Is -2*((-5685)\/(-10))\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-7))\/(o\/(o**4\/o)))\/(o**(-2))**(-1\/13))**46)**(7\/3) assuming o is positive.\nAnswer: o**(-5796\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -8. Suppose -r*f = -7*f - 880000. Round f to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**2 - 25785 + 2566*d**6 + 13058 + 12949 wrt d.\nAnswer: 307920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2972 - -3092. Calculate the remainder when t is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 6*t**2 - 2*t - 7. Suppose 12*y + 35*y + 37 = 225. Give x(y).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 4\/5, 2\/11, -1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127, 92, 55, 16, -25?\n\"Answer: -m**2 - 32*m + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38625859.\nAnswer: 823, 46933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8200 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Suppose 3 = 4*v - p*v. Let h(q) = 2*q**2 + 4*q + 2. Let b be h(-2). Solve x + b*x = v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2. Let r(d) be the second derivative of -d**3\/6 + 24*d. Determine m(r(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**2\/2 + 1. Let u be d(0). Solve -16 = -4*o - u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.03 (c) -5 (d) -0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 2 + -2 - -1. Let o = -159\/2 + 1753\/22. Which is the second biggest value? (a) o (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4158991, -4159047, -4159141, -4159273, -4159443, -4159651?\n\"Answer: -19*p**2 + p - 4158973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-1))**(1\/87)\/(a**(1\/2)\/a)**(-4\/21))\/((a**(-2\/15))**(2\/13))**(-39) assuming a is positive.\nAnswer: a**(-2621\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*h**2*i**2 + 1305*h**2*i + h**2 - 2*h*i - 154*i**2 wrt i?\nAnswer: 22*h**2 - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -10. Let n(c) be the third derivative of -r*c**2 + 0*c**3 - 1\/12*c**4 - 1\/105*c**7 + 1\/60*c**6 + 0 + 0*c + 1\/30*c**5. Factor n(o).\nAnswer: -2*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312 - 309. Suppose 8*r**2 - 1083 - d*r**2 - 8*r**2 + 114*r = 0. What is r?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n + 22913 + 5929. Calculate the highest common divisor of n and 1242.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5690*i**3 - 8211*i**2?\nAnswer: 34140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -35977.42 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 8*g + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-1*sqrt(192) + sqrt(192) + (sqrt(24)\/sqrt(2))**2 + ((-4*sqrt(48)\/sqrt(8) + sqrt(6))\/sqrt(2))**2)*2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2 + 416*v - 10816 = 0. Calculate v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 23, 2\/9, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 = -k, 0 = -k - 0*k - 4. Suppose -r*f = -f - 2. Solve -2*o = f*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93\/2? (a) 2 (b) -3\/17 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257134 is divided by 257116.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.1 * 0.888.\nAnswer: -7.1928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9814297 rounded to 2 dps?\nAnswer: 27.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r**2 + 8 - 16*r + 28*r**2 - 13*r**2. Does 2 divide d(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-4))\/2 + -3. Let n = 9 + i. What is the remainder when n is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38812 - 27443. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqo when three letters picked without replacement from {q: 3, o: 5, c: 1, f: 4}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14133, -14145, -14157, -14169?\n\"Answer: -12*q - 14121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l - 10. Let k(p) = -p - 3. Let q(j) = 9*k(j) - 2*s(j). Let c(u) = u. Give q(c(v)).\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 1:19 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/20 - y**4\/4 + y**3\/6 + y**2\/2 - 4*y. What is o(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 2034.\nAnswer: -35\/2034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 - 169. Suppose 85 - z = 5*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-4 - -9) - 24) + 13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**2 + 17242107*i + 1231579.\nAnswer: (i + 1231579)*(14*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b**2\/2 - 2*b + 9. Let x(g) = 9*g - 6. Suppose -13 = j - 2*j - 5*a, 3*j + 4*a = -5. What is j*c(r) + 2*x(r)?\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 106810337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 21.7.\nAnswer: 10.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 11 = 8. Let k(d) = -3*d**3 + 48*d**2 - 144*d - 192. Let n(g) = -g**2. Let p(h) = i*k(h) - 3*n(h). Suppose p(w) = 0. Calculate w.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -20*t**3 - 191*t**2 - 12*t + 2. Is f(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**27)**(-20\/9) assuming u is positive.\nAnswer: u**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2354, 2\/5, 1\/5, 220.\nAnswer: -2354, 1\/5, 2\/5, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7)\/(n*n\/n**(-9\/7)*n))\/(n**(-30)\/n)**(-6) assuming n is positive.\nAnswer: n**(-1329\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10326183154 + -10326183834.9999581. Let b = n + 681. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from iowofoooggifff.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 261 + 2095?\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 2. Let j(n) = n**2 - 5*n - 1. Let b = 4 + 2. Suppose -30 = -4*t - b. Let k be j(t). Let r(h) = 2*h - 5. Calculate k*z(a) + 2*r(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155243 = 3036*o + 5665 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -y - 4*y. Let r = -33 + y. Solve -2*s = -1 + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j = 4. Solve 7*c - 15 = j*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d02a8 (base 14) to base 12.\nAnswer: 420690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 233800 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90483 is divided by 121?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*b - 0*b - 4*k, 2*k + 4 = 0. Suppose 2*q = -3*o - b + 10, -q - 11 = -o. Let i = 146 - o. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(((-476)\/680)\/(-7)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -13408379750?\nAnswer: 13408379750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245549, 245268, 244987, 244706, 244425, 244144?\nAnswer: 243863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 628093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + i**2 + 2*i**2)*(2 + 2 - 2) + 3*i**2 - i**2 - 3*i**2 + (59*i + 59*i**2 - 30*i - 30*i)*(-3 + 4 - 3) to the form d*i**2 + h*i + s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 21*s + 125. Let a be v(-36). Let g = a + 416. Solve 4*f = 3*n - 3 - 16, -f = g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10135.2 * -1\nAnswer: 10135.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1021321?\nAnswer: 1021310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.084 rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -172161*c**3*f + 335393*c**3 - 2*f**2 + 1 wrt f?\nAnswer: -172161*c**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 at least -9\/1808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 60*n + 152. Give x(-4).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 50. Let n = 25 + x. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 322 + -325. Which is the closest to 0? (a) -0.3 (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 12 + 3)*(-o**2 - 16*o**4 - o**4 + o**4).\nAnswer: 368*o**4 + 23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.3, -2, 2, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (165\/2)\/11*11*30\/550\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*o**3\/4 - 585*o**2\/4 - 243*o.\nAnswer: o*(o - 27)*(23*o + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 539 - 38. Suppose -p + 4*p = q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 742267\/97 + -7652. What is the common denominator of q and 47\/8?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a factor of 8329164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-36)\/8 + 4). Suppose f*x - 8*x = -8. Let v be ((-8)\/(-12))\/(x\/9). Solve -d - 5 = -3*n + 2*n, 3*n = -3*d - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 2*g + 6. Suppose 4*w - 25 = -2*n - 5, w - 5 = 0. Suppose -20 = -n*i - 5*i. List the prime factors of p(i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10032, 10035, 10038, 10041, 10044, 10047?\n\"Answer: 3*j + 10029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -17. Let z(t) = 0*t + 4 - 4 + 6 + 7*t - 8*t. Give z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/31 (b) 16.7 (c) -47 (d) -1.1 (e) 3\/4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 3 + -28 + 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2140616 divided by -38\nAnswer: -56332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4737 + 6?\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 337053719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*y**3 + y**2 + 3*y - y + 24*y**3 + 1 to the form l*y + g*y**3 + a + f*y**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvvbbvbvtt. What is prob of picking 1 t and 1 v?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1664))\/(1*1*sqrt(2)) + -1.\nAnswer: -16*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) + (-1)\/4. Let t = -8791.08 - -8790.88. What is the closest to 1\/4 in -0.3, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059155 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 97728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o + 1. Let w(q) = -q**2 + 2*q - 1. Let t be w(2). Let l be 2*(7\/2 + t). Let z(a) = -6*a + 1. Calculate l*z(c) - 4*k(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3 (c) 0.076 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {f: 1, u: 3, e: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = 22*q + 56. Let x(y) = y + 9*y - 4*y - q*y. Let w(n) = -11*n**2 + 7. Calculate x(w(j)).\nAnswer: 11*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7104748271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4758*n - 20 = 4763*n + 5*z, 0*n - 2*z = -5*n + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -817\/141 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157357.\nAnswer: 53, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 0.17156.\nAnswer: -4.80368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2)*-1)\/((-2)\/96). Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {t: 1, m: 10, l: 2, v: 3, o: 3}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14239247?\nAnswer: 11, 1294477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7365*g + 7325*g = 4*d - 736, -8*g + 35 + 89 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 8 = -4*n. What is the second derivative of 10*d**n + 5*d - 3*d**4 + 8*d**4 - 18*d wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 k, and 1 o when three letters picked without replacement from {n: 5, o: 12, k: 2}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.4 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 38.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -7, 7\/5, -4 in ascending order.\nAnswer: -7, -4, 0.2, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329 - 4*x**2 - 163 - 166.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 57*m**2 - 18*m + 4412. What is a(58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j**2 - 1638*j - 11546. What is f(-7)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89280, -178518, -267756, -356994, -446232?\nAnswer: -535470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183*x - 618?\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 2595.\nAnswer: -2\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 280*w + 1627. What is c(98)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1*7\/(42\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198?\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/20 + (-63)\/(-4). Suppose 7*r = 4*r - o + w, -5*r + 2*o + 25 = 0. Suppose -4*s - 12 = -5*g + g, -r*g = -4*s - 14. Is s != 2\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5672632, -9, 0.2?\nAnswer: 5672632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1930 to the nearest ten.\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129892042 to the nearest integer?\nAnswer: 11397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20662615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*b = -7*b + 56, 2 = -c + 3*b. Suppose 0 = -8*f + 3*f + 20. Calculate the least common multiple of f and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 + 0 = 0. Suppose 21 = v*o - 39. Let u = -17 + o. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24652607 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 0*i**2 + 1\/12*i**4 + 0*i**3 + 4*i + 0. Let p(g) = -7*g**2. What is o(p(r))?\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s**(4\/3)*s*s*s*s**(-21\/4)\/s*(s\/(s\/(s\/s**(-20))))\/(s*s*s*s**3\/s*s) assuming s is positive.\nAnswer: s**(193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 10*b + b)*(0*b + 0*b - 2*b)*(19*b**3 - 18*b**3 + 28*b**3).\nAnswer: -696*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q - q + 7*q. Let k(g) = -g. Give x(k(j)).\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(10\/9)*z*(z**(-6)\/z)\/z)\/(z**(-4))**(-11\/3) assuming z is positive.\nAnswer: z**(-185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3760 is divided by 419?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -35*p**2 - 17532*p - 70127. Give j(-4).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -3. Suppose -5*m - 2 + 32 = 0. Suppose -5*p - m = -16. Solve 0 = -d - 5*r - o, 2*r = d + p*d + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587231936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-9)\/2160*-93)\/((-23)\/((-1150)\/20))?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -66499 rounded to the nearest 1000?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 118189600 to the nearest one million.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9621349 meters to kilometers.\nAnswer: 0.0009621349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -136*-0.7\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 2253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1533 or -1547?\nAnswer: -1547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15576 and 37150707.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9954286 and 124.\nAnswer: 19908572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/120 + 287*h**5\/60 - 106*h**2. Factor j(u).\nAnswer: u**2*(u + 287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/851 (c) 671\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 9. Let x = 1 - u. Suppose r - 20 = -x*y, -5 = -3*y - 5*r + 7. Calculate the highest common divisor of y and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 4?\nAnswer: 145\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8806 and 2997?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 18*n + 20. Calculate b(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -16. Suppose -59 = o + s. Let t = o - -202. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 675086 in 1, 0.5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggghgggggggglglgg. Give prob of picking 3 g.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9094, -3, -1 in descending order.\nAnswer: 9094, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 9:40 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**22*y*y\/y**(-9\/7) assuming y is positive.\nAnswer: y**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 260715 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2 (c) -1\/8 (d) 0.4 (e) -15 (f) -2.988\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -103423?\nAnswer: -103423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 18 = 37*v. Which is the fourth biggest value? (a) -0.4 (b) -0.7 (c) v (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 30. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 86, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 - -129. Suppose 0 = 3*o - 5*w + 5, -4*o + 2 = -4*w + d. Suppose -2*a + o*a + 6 = 0. Solve a*g = 2*c - 6, -3*c - 17 = -0*g + 2*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1052, -1041, -1028, -1013, -996, -977?\n\"Answer: d**2 + 8*d - 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486760470 to the nearest integer?\nAnswer: 38559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -4 + -16 + 36 + -8 + 1 + 4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**4 + 85*u**3 + 210*u**2 + 5*u - 315. Let f(n) = 3*n**4 + 43*n**3 + 106*n**2 + 2*n - 158. Let j(a) = 5*f(a) - 2*r(a). Suppose j(z) = 0. What is z?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(0*a + 0*a - 2*a**3) + (4 - 1 - 4)*(3*a**3 - 3*a**3 - a**3) + 2*a**3 + 3*a - 3*a - 5*a**3 + 2*a**3 + 2*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -11310 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30541012 divided by -15270506.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 44*(-143)\/(-260).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -4034, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l - 2*l. Suppose -i = -3*y + l, -5*i + 3*y = y - 21. Is i smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 761824046 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, j: 2, f: 2, t: 2, s: 10}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*u*v**4 - 2*h*u - 3*h*v**2 - u - v**4 - 16 wrt v?\nAnswer: -4*h*u*v**3 - 6*h*v - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3785441820 to the nearest integer?\nAnswer: 61526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1365222, 5460837, 12286842, 21843237, 34130022?\n\"Answer: 1365195*r**2 + 30*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 49, 85, 133?\n\"Answer: 6*x**2 + 6*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 8*s**2)*(-s**2 + 4*s**2 - s**2).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 1\/2*t**2 + 0*t - 2. Let o(v) = -3*v + 1. What is 5*b(u) + o(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -66, -98, -130, -162?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1433*b - 537*b**2 - 1433*b)*(-4 + 5 + 0 + 3 - 2 + 0 + (4 - 2 + 0)*(-3 + 2 - 1) - 2 + 4 - 3) to the form x*b**2 + d*b + m and give x.\nAnswer: 1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.32+-51079\nAnswer: -51078.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 - -89. Let o be -5 + j + 38 + 4. Suppose 4*d - 3*u + o = 552, 0 = 4*d + 3*u - 509. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22550555 (base 7) to base 10.\nAnswer: -1978709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -501*y + 1506. Let s be f(3). Let q = 66 + -41. Put q, s, 0 in ascending order.\nAnswer: 0, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 33597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 + 514*c**4 - 2967*c**3 - 41018*c**2 - 66040*c = 0. What is c?\nAnswer: -5, -2, 0, 13, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 413, 675, 1007, 1433, 1977, 2663, 3515?\nAnswer: 4557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 + 3*t + 4. Let j(v) = 11*v**2 + 6*v + 7. What is 4*j(c) - 7*m(c)?\nAnswer: 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/4470 and -62\/21.\nAnswer: 31290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 63*h**3 - 249*h**2 - 14099*h + 14283 = 0. What is h?\nAnswer: -23, 1, 27\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*d - 142 + 782 = -272 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*j**2 - 73*j**2 - 75*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-2)*t)\/t)\/t)**34\/((t*t\/((t*t**2*t*t)\/t))\/t**(3\/8))*(t*t\/t**7)\/t**8*(t*t**(-6)\/t)\/t**(3\/2) assuming t is positive.\nAnswer: t**(-417\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/20)\/(48\/128*14\/(-21))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3296.7 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**2 - d**2)*((-d**2 + d**2 + d**2)*(-1 + 2*d + 2*d - 6*d) + (-2 + 2 + 1)*(-4*d**3 + 4*d**2 - 4*d**2)).\nAnswer: 12*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 376578143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28503368?\nAnswer: 2, 911, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 12*r + 10. Let a be ((-6)\/60)\/(r\/12). Sort 4, -4, a, -2\/9 in ascending order.\nAnswer: -4, a, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 41. What is the greatest common divisor of h and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:53 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 1404?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.59105 to one decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000033274268 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4405 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211218?\nAnswer: 2, 3, 7, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18895, -18651, -18243, -17671?\n\"Answer: 82*l**2 - 2*l - 18975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809 = -39*u - 1219 - 2086. Do -194\/3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-190))\/(2\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -302102200033 (base 4) to base 3\nAnswer: -220210202122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 22*p - 120 = 0. Suppose p*w = -7*y + 5*y + 20, 4*y = -w - 9. Let v = -0.5 + 0.6. Which is the third biggest value? (a) w (b) 2 (c) 2\/5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(162) + (sqrt(162) - (-5 + sqrt(162)*-1)))*4 + 2.\nAnswer: -108*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -2)*5 + 2)**2 - (0 + -6*(0 + (sqrt(44)\/sqrt(4) + sqrt(11) - sqrt(11)) + sqrt(11))).\nAnswer: -468*sqrt(11) + 9964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14565\/(-2520) - (-2)\/(-21) and 73\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97463276*w**6 + 71011581*w**2?\nAnswer: -11695593120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-1 + 3\/(-6)). Let r be 28\/n + (-1 - 1). Suppose 6*p - p = r. Do p and 1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571754.\nAnswer: 2, 3, 261959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(20\/15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 0.868. Let y = 0.01 + p. Let b = -0.214 + y. Round b to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 374\/136 - 3*1. Which is the closest to 0? (a) -4 (b) -1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*i - 6*i**5 + 4*i**5 - 6*i**5 + 4*i**5 wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 5*c - 5. Calculate g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9 = 4*h, 2*h - 21 = 5*g + h. Let m be (2\/g)\/((-3)\/(-2625)). Let f = m + 203. Round f to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d + 10*d - 4*d - 15*d. Let w(q) = -325*q. Calculate w(n(y)).\nAnswer: 325*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6. Let x be 3\/(-6)*-4 + -2. Sort x, 5, n.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 104 = -4*b. Let z(d) = d**3 - d**2 - d + 3. Let q be z(0). What is the common denominator of ((1*231)\/q)\/(-2) and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -33*z + 9 + 23*z - 11*z**2 + 10*z**2. Suppose -4*n - 26 + 6 = 0, 15 = -5*l - 4*n. Calculate the remainder when y(0) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9916987693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -646987\/17976 + 25\/749. Let p = a + 153\/8. Calculate the common denominator of p and (-3)\/(-9) - 155\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*r + 3*f - 14, 0 = 5*r + 4*f - 139. Let h = r - -19. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8)\/(48\/10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -345 times -114.2\nAnswer: 39399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2 = 4*g, -5*g - 16 = -297*j + 294*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(0 + ((sqrt(272)*1)**2 + -2 + sqrt(272)*1 + -1)*2)*3.\nAnswer: 480*sqrt(17) + 32280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25551.9+4\nAnswer: 25555.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 5633766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/20 - 6\/8. What is the third smallest value in -2\/9, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -277, -283, -289, -295, -301?\n\"Answer: -6*k - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -403184464 divided by 2384\nAnswer: -169121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.7, -1\/11464, 49, -3, 2\/9, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -141\/218, 2\/7, 4?\nAnswer: -141\/218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 440305, 442005, 443705?\n\"Answer: 1700*h + 438605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 o, and 1 w when four letters picked without replacement from {w: 1, t: 1, o: 3, m: 5, a: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.13 (b) 0.4 (c) -3 (d) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -513373 and -1173.6142?\nAnswer: 512199.3858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5 + 4 - 337*c**3 - 2 - 1 + 336*c**3 - 9*c**2. Let n(d) = d**2 + 1. Give -a(w) + 6*n(w).\nAnswer: w**3 + 15*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.76\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 6:36 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.115, 18\/29, -1.3 in descending order.\nAnswer: 3, 18\/29, -0.115, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l = -56*l - 20. Suppose l*f - 403 = 69. List the prime factors of f.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15648 divided by -2608?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 = 23*g - 27*g - 4*i, -4*g = -5*i - 859. Solve -2 = -u + r, -4*r = 217 - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -27 + 32 + -16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 23 = 4*o, 3*o + 7 = -3*i - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15035)\/93)\/(3\/(-216))?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:35 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12927*i - 278. Let t(y) = -139*y + 3. Calculate -278*t(z) - 3*w(z).\nAnswer: -139*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27 and -0.218.\nAnswer: 26.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 45*r - 6102. Determine z(136).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000097656564 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1535)\/(-2)*(-2380)\/(-350) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-40))\/((-25)\/((-800)\/24))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 60, 4, 209, -3, -2, -1 in descending order.\nAnswer: 209, 60, 6, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvllw. What is prob of sequence lvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 - 15)*3\/9. Solve f = -6*k + 18*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, 6, 3\/5, 0.3 in descending order.\nAnswer: 6, 3\/5, 0.3, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -11 - 1065\/(-20)*52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 23. Let b = 12 + 71. Suppose -b - 7 = -w*t. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*sqrt(243).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11375 and -18.\nAnswer: -11393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, 14, -1 in ascending order.\nAnswer: -1, 0.1, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*1)\/((sqrt(120) - sqrt(120)*2)\/sqrt(12)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (120\/(-75))\/(1\/15). Let s be 2*1*t\/(-12792). Is s >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147505, -147543, -147615, -147727, -147885, -148095?\nAnswer: -148363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -9*j**4\/2 - 4939*j**3\/2 - 117981*j**2 - 89724*j + 25792 = 0.\nAnswer: -496, -52, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 5*i**4\/24 + i**3\/6 + 987*i**2. Let v(m) = -m. Give -t(u) - 6*v(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: What is 7732607 (base 8) in base 13?\nAnswer: 579b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.2, 3121, -3\/5 in ascending order.\nAnswer: -3\/2, -3\/5, 0.2, 3121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 10) to base 8.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211 + -208. What is the closest to -0.1 in t, 3\/2, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/6, 14\/239 in increasing order.\nAnswer: -1\/6, 0, 14\/239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17068.\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 228*w - 62. Let l(i) = -116*i + 33. Calculate 4*b(k) + 9*l(k).\nAnswer: -132*k + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, -2, 1 in increasing order.\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10 - 0)*1\/5 + 18 is divided by 27\/3 - -1*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqiq when four letters picked without replacement from iqqqqiqqiqqqqq.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 11.54?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 17472666?\nAnswer: 122308662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/(-52))\/(7750\/38440).\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9199*s - 9202*s + 18 = -2*l, 0 = -8*l + 2*s - 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from crroycycyy?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, x: 2, j: 1, r: 2, t: 1, k: 1}. Give prob of picking 3 t and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -42 times -426\nAnswer: 17892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 11*c. Let t be 53 - -4 - -3 - (c + 0). Suppose -2*q + t = q + 5*p, 4*q = -p + 63. What is the highest common divisor of q and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85, -168, -249, -328, -405, -480?\n\"Answer: n**2 - 86*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 841 divide 1963735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -18*l**3 + 5*l**2 + 2*l - 4. Let n(w) = -w**3 + w**2 - 1. Determine -k(v) + 4*n(v).\nAnswer: 14*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -29*c**2 + 110*c + 19. Let g(m) = 260*m**2 - 980*m - 170. Let s(l) = -6*g(l) - 55*i(l). Suppose s(d) = 0. What is d?\nAnswer: -1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - 6*t)*(-16*t + 36 - 36) + t**2 - 2*t**2 + 0*t**2.\nAnswer: 47*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Suppose 3*y - 4*f - 12 = -5*f, -2*y + 15 = 3*f. Suppose 5*j + 2*z = y*j + 128, 4*j = -l*z + 254. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 - -836\/7. Let x = -0.038 - 0.962. Let i = -1116\/5 + 224. Which is the nearest to x? (a) 4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/16)*z*z*z)\/z**5 assuming z is positive.\nAnswer: z**(-31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 424769, 849546, 1274329, 1699118, 2123913, 2548714?\n\"Answer: 3*i**2 + 424768*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0*(-3)\/6)\/(16 - 14). Let o(i) be the second derivative of y - 7\/6*i**3 + i**2 + 7*i. Determine o(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l\/(l*l*l**(-7)\/l)*l)))\/l**(-21) assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3 - 48148*m**2 - 5272114*m + 5320260 = 0.\nAnswer: -110, 1, 24183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15708 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 2 - 2)*(-22 + 22 - 4*w**4 - 2*w).\nAnswer: -16*w**5 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06146 to 3 decimal places.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/(-36) - (-6)\/4*23\/69. Solve 4*d - o*x = 14, 5*x = -7 + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (11\/(44\/3))\/((-1)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 769, 3177, 7131, 12583, 19485, 27789?\nAnswer: 37447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*x**3 + 3 - 45*x**4 + 14*x**4 + 20*x**4 - 21*x**5 - 327*x - 329*x + 13*x**4 wrt x?\nAnswer: -420*x**3 + 24*x**2 - 162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -19*o - 1. Let f be j(8). Let s = 224 + f. Suppose 3*l + 0*l - 4*u - s = 0, -5*l + 127 = 2*u. Calculate the remainder when 99 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429 a factor of 860459489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1641 - 28*v**2 + 1641 + 29*v**2. Let h(a) = 9*a**2 - 61*a. Give h(c(y)).\nAnswer: 9*y**4 - 61*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*y = -2*f + 24, 4*f = 3*y - 8. Let u = f - -8. Let k = 5 - u. Which is the closest to 0.2? (a) -4\/7 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 168, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) - -6*sqrt(152)*4)\/((sqrt(64) + (2*sqrt(64) - sqrt(64)))\/sqrt(8))*-2 + 2 + -4)**2.\nAnswer: -500*sqrt(19) + 296879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6392525, 12785048, 19177569, 25570088?\n\"Answer: -c**2 + 6392526*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(1539))*3)**2.\nAnswer: -55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19\/17 + 26\/208*-8 + 11448\/(-204)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71, 64, 41, -4, -77?\n\"Answer: -v**3 - 2*v**2 + 6*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3762 divide 312148188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 14 (b) -0.9 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhbhbblhbbhhlbbphl. Give prob of picking 1 l and 1 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 203.927 and 37.06.\nAnswer: 7557.53462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:14 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/84*-4)\/((-48)\/18)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59443 divided by 15.\nAnswer: -59443\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-73 + 109 + -35)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7431 divided by -426?\nAnswer: -2477\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*y - 39510, y - 114 = -115. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.102 times -0.1?\nAnswer: -0.3102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a. Let b(z) = 47993*z. Give u(b(t)).\nAnswer: 95986*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*i**2 - 24*i**2 - i**3 + (2*i**2 + 0 + 0)*(7*i + 15 - 15))*((-2 + 5 - 4)*(1 + 0 - 3) - 2 + 2 - 2 - 4 + 2 + 4 + 0 + 0 - 3) + 3*i**2 - 3*i**2 - 2*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 987 and 1833.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -6. Let f be 2*v*(-1 - 0). Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*u - 103*u + 770. List the prime factors of u.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let a be 243 - (1 + (q - 1)). Find the common denominator of a\/60 + (-2)\/(-8) and 48\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1094*y**2 - 373*y + 1110*y - 369*y - 368*y + (-3*y - 2*y + 4*y)*(-3 - 2*y + 3) in the form x*y + c*y**2 + o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 16. Let w be r\/(-12) + 52\/6. What is the third derivative of -3*s**2 - 3*s**2 + 0*s**2 - w*s**4 - 2*s**4 wrt s?\nAnswer: -264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 8*n. Suppose n = -3*o + 11 + 1. Solve -3*m + 4*h + o = -m, 4*h + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) + sqrt(60))\/sqrt(4) + sqrt(15))\/(sqrt(720) - (sqrt(720)*-3 + sqrt(720)))*-6 + -2.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -124479.04 take away 1?\nAnswer: -124480.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138\/7 - 1228\/63. Is j >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -5*x + 6*x - 21, -5*y = -3*x - 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142255407607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-6)\/(-36)*(-2)\/(-6)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5758*u + 58667 + 64990 - 129432 wrt u?\nAnswer: 5758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v - 6. Calculate the remainder when z(4) is divided by 67\/6 - (-271)\/(-1626).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:23 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 150\/24)*(-64)\/456.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5914 - -16774. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8 - b + 0*b**2 + 4*b**2 + b**3 + 7*b**2. Let z(r) = -12*r**3 + 2*r**2 - 2*r + 1. Let v be z(1). Is h(v) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17314063341 from -0.2.\nAnswer: -17314063341.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 178442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 12. Let u(j) = 29*j - 69. Let b(i) = u(i) - 6*y(i). Let z = 3 + -4. Let c be b(z). Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -164, 7, 178, 349, 520?\n\"Answer: 171*m - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - -0.23000163. Round k to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26212604633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 11*h**2 + 21*h + 28. Give a(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:47 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 + 51 - 52 + t**2 + 0*t + 4*t. Calculate the remainder when 38 is divided by r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*q + 48, 6*g + 3*q = 5*g. What is the greatest common factor of 90 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44052080 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/5 of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-369*z - 3944*z + 7480*z + 7557*z)*(3 - 2 - 2) to p*z + g and give p.\nAnswer: -10724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3198*o + 3164*o - 408 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12879 and 2703.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = 2*j. Let h = 9 - j. Let a be (-3)\/5 + 115\/275. Is h greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 244*i - 3339. Let q be d(257). Factor -5\/3*v - 1\/9*v**q + 16\/9.\nAnswer: -(v - 1)*(v + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15974 is divided by 235.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/76194768 and -95\/6625632.\nAnswer: 152389536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-2*(sqrt(475) + 0 + 2)**2 - (-5 + 6*(1 + sqrt(475)))).\nAnswer: -2877 - 210*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 32, 47, 64, 83?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 1 + 1)*(-2*f + 3*f - 3*f) + (5 - 5 + f)*(10*f**2 + 8*f - 8*f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/22387 or -1?\nAnswer: -2\/22387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17515956391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(3 - 6) + 30. Let c = -14 + f. Calculate the remainder when 23 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2143, -1443, -7419, -15785, -26541?\nAnswer: -39687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 + o + 5. Let a be b(0). Suppose 2*k - a*k = 3*h - 63, -4*h = 3*k - 58. What is the remainder when k is divided by (18\/4)\/(1\/(2 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1791.\nAnswer: 1\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119368757 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*n - 2*n**2 - 161*n + 313*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7844*u**3 + 7147*u**3 + 0.\nAnswer: -697*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*r - 16392 = -14806 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 330*y**4 + 135*y**4 + 56*y**4 + y**4 + 0*y**4 + 0*y**4 + (-y**2 - y**2 + 0*y**2)*(-2*y**2 + y**2 - y**2).\nAnswer: 526*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83763894?\nAnswer: 2, 3, 19, 734771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29148*u**2 + 96649 wrt u?\nAnswer: 58296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 9 = 3*b, 2*b = 7*b + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3\/11 - 37182*l**2\/11 - 520254*l\/11 - 1820546\/11 = 0?\nAnswer: -18577, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-10)\/o))\/(o*o**25) assuming o is positive.\nAnswer: o**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {n: 1, v: 1, h: 1, f: 2, i: 1, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3920)\/(-40)*(-72)\/14. Is -509 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-5)\/(-60)*0. Sort -39, n, -2, 1.\nAnswer: -39, -2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 + 173. Let c(w) = 3*w**2 - 2*w - 2. Let j(s) = s + 4. Let v be j(-2). Let k be c(v). What is the highest common factor of l and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -9 - (0 + 9)) + (-1 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 324*r + 6467. Give u(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Suppose 2*a - 6 - 2 = 0. Let c(m) be the third derivative of 0*m - 3*m**2 + 0*m**3 + 0 + 1\/12*m**a. Determine d(c(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9225 - 4940. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*u + 125. Let k = -20 - u. Calculate the highest common divisor of 45 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 4151625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 18, 2\/5, -5, 6\/313?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192305*o**3*t**2*u - 7*o**3*u**2 - 46*o**2*t**2*u - 841*o**2*t*u + 5*o**2*u**2 + 2*o*t**2*u**2 wrt o.\nAnswer: -1153830*t**2*u - 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 866180 and 4565960?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*5\/120)\/((-17)\/(-1734)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 26*w + 5*w as s*w + j and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 5 + -2 + -2*(sqrt(49)\/sqrt(63))**2 + -2).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:58 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -44403411?\nAnswer: 44403410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-3 - -3) + 2 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vemmmmvmuuuvvmvm. What is prob of sequence mvu?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18942*l + 123245 = 2168981 for l.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.036581 + -3707318.\nAnswer: -3707318.036581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.00278? (a) 6 (b) 18\/35 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckphknz. Give prob of sequence nkkp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 1:36 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 71.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 91 = -g, 245 = 5*l + 5*g - 20. Suppose -3*u = -16 - 2. Calculate the greatest common divisor of u and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 0*r + 3*r)*(-15 + 12 + 8) + (-4 + 6 + 0)*(-139*r - 143*r + 196*r) to the form b*r + d and give b.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.044 + -0.356. What is the biggest value in 2, j, 2\/3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 9*b**2 - b + 5. Let p be a(-5). Let r be ((-4)\/(-3))\/(2\/p). What is the remainder when (r\/(-3))\/(-1 - -2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29041 is divided by 1320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2792 - 1288. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/7375 and -103\/32600?\nAnswer: 9617000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-2\/3)))\/(x\/x**(-2\/7)))\/(x*x*x*x**(2\/3))**(-49))**(31\/3) assuming x is positive.\nAnswer: x**(38564\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5.1, 7, 5, 1498\/19?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -112 - 912?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 96782*f*q**2 + 19*f + 866536*q**2 wrt f.\nAnswer: 96782*q**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6988.1 - -6988. What is the biggest value in 0.1, 5.09, f?\nAnswer: 5.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*s - 1137 = 194. Which is the third smallest value? (a) 2\/5 (b) 10\/9 (c) s (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*o - 2007*o - 2050*o.\nAnswer: -3438*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 - (-2 - 1)*-1. Let k(p) = -13 + d - 4*p. Let j(c) = 2*c + 5. Let f(u) = -1. Let q(x) = -5*f(x) - j(x). Determine q(k(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 0*x**2 - 3*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31681, -31682, -31683?\nAnswer: -31684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -17093069.\nAnswer: -85465345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 + -317. Let r = -216 - -215. What is the second biggest value in r, k, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-780)\/8 + (3\/(-2) - -3). Let m = 249 + x. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45540 and 440?\nAnswer: 91080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0396534 + -0.045504. What is o rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -9, -61, -19, 2 in decreasing order.\nAnswer: 2, 0.1, -9, -19, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1945331, -1945330, -1945331, -1945334?\nAnswer: -1945339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 95 and 95 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 8. Let l(k) = -k**2 + 5*k + 1. Let h be l(3). Let o be r(h). Suppose -2*b + 5*c - 6 = 0, -4*b + 3*b - 3 = -2*c. Sort o, b, -2.\nAnswer: b, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4598140849 to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3457*f**6 + f**2 - 4118*f wrt f.\nAnswer: -414840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 171*k**3 + k**2 - k + 1. Let w be s(1). Find the first derivative of 2*r + 5*r - 19*r - w + 102*r**4 + 12*r wrt r.\nAnswer: 408*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h + 338911 = -121121. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5209, 8617, 12025, 15433, 18841, 22249?\n\"Answer: 3408*b + 1801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13838 and 13838.\nAnswer: 13838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*n**3 - 3*n - 454.\nAnswer: -141*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m**2 + 1. Let j(n) = -10 + 33*n - 6*n**2 - 7*n**3 - 62*n + 31*n + 4. What is -j(q) - 6*w(q)?\nAnswer: q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40118252 or -40118250?\nAnswer: -40118252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*m - 29, -3*s - 49 - 2 = -2*m. What is the highest common factor of 4122 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1919, 1850, 1779, 1706, 1631, 1554, 1475?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.59 + -0.09. Let p = 176783.50494 + -176788. Let a = k + p. What is a rounded to 4 decimal places?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -6*t + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2616 - -262.2616. Which is the third smallest value? (a) -0.21 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.21.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*v + 3*v - 3, -v + 13 = 3*u. Let q(f) be the first derivative of 0*f**2 + 1\/2*f**4 + 0*f + 2\/3*f**u + 2. Determine t, given that q(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*l + l - l)*(-3 + 3 + 2) to z*l + o and give z.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20460*g*o**3 - g*o**2 + 3*g + 6*o**3 - 32*o**2 + 2*o - 3 with respect to g.\nAnswer: -20460*o**3 - o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 10*d**2 - 9*d + 5. Let k be u(-9). Suppose 0 = -0*q - 2*q + 4. Let v be (q - 1)*3*-1. What is the closest to 0 in k, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 5\/12*q**4 - 1\/6*q**3 + 0 + 0*q - 3*q**2. Determine v(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555937666?\nAnswer: 2, 379, 733427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8313372*b*c*n**3 + 379*b*c*n + 3*b*c - 5515*n**2 wrt n?\nAnswer: 49880232*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3449, -6973, -10499, -14027?\nAnswer: -17557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 5*b**2 + 6. Let c be j(-5). Is (5 - c - 0)*-133 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34444324283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1089590 and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Suppose -10 = -t*w - 3*w. Find the third derivative of -5*u**w + 0*u**2 - 4*u**6 + 3*u**6 + 3*u**6 wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 2*q**3 - 2*q**3 - q**3 - 8*q**3 - 2*q**3 + 0*q**3 - q**3 + 3*q**3 + (30*q**2 + 8*q**2 - 12*q**2)*(q + 0 + 0).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37548 divided by 18?\nAnswer: -2086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.46 + 1.46. Let s = -0.0423832218 - 26.9576090782. Let b = s - c. What is b rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 3*o**2 + 1 - 3)*(6*o**2 - 8*o**2 - 6*o**2)*(-3*o - o + o).\nAnswer: 48*o**5 - 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 487*m**6 - 342111*m**5 - 304*m**2 - 322761?\nAnswer: 58440*m**3 - 20526660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.9 in -4, 4, -2, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 54, -21.\nAnswer: -21, 11, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6*29769\nAnswer: -178614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 2*n + 4. Let k(h) be the third derivative of -h**5\/60 + h**3\/6 - 8*h**2. Suppose 0 = 4*f - y, -4*y + 13 = f - y. Determine f*g(i) - 2*k(i).\nAnswer: i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*p*q*v - 507*p*v - 24*q**2 with respect to q.\nAnswer: -5*p*v - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l - 9. Let k = -2.1 - -2. What is the nearest to 1\/2 in l, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 0*c + 0*c)*(c - c - c**2) + (-7*c - 7 + 7)*(2*c + 2*c - 2*c)*(-c + c + 2*c)*(-4 + 8 - 19) to r*c**3 + t*c**2 + z + n*c and give r.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**6*u**2 - 70*h**4*u**2 + 37*h**2*u + 10*h*u**2 wrt h?\nAnswer: -720*h**3*u**2 - 1680*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(468) + (sqrt(468) - (-1*sqrt(468) + sqrt(468))) + 4) - (-4 + 6*((sqrt(13) + sqrt(39)\/sqrt(3) + 5)**2 + sqrt(13))).\nAnswer: -442 - 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 1\/6*p**3 - 1\/5*p**5 + 0*p**2 - 1 - 1\/8*p**6 + 0*p + 1\/16*p**4. Solve z(l) = 0 for l.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 + 5*z - 3. Let i be c(4). Let b be i\/27 - 2\/(-9). Suppose b*f = f + 12. Solve -2 = f*n - n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16384 + 16476. What is the greatest common divisor of 88 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32068)\/(-14) + (10 - 201\/21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*d**2 + 1016*d**2 - 724*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37056751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1361*d + 485881. Give x(357).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 1) + -22 + 20 + (-63 - 0) - -7.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7639\/2 or -3821?\nAnswer: -7639\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32400 = -1565*j + 1673*j. What is the least common multiple of j and 1410?\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363334*v**3 - 8803*v wrt v.\nAnswer: 2180004*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.107 and -11768?\nAnswer: 1259.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 2\/29 (c) 7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-432)\/81)\/((-112)\/2058) + 17\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2654507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1467, 1465, 1463, 1461?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaagzhzttz. Give prob of picking 2 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 14*j + 90. Let i(n) = -n**2 + 19*n - 12. Let l be i(j). Find the third derivative of 11*r**5 + 3*r**2 + l*r**2 + 2*r**5 wrt r.\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 1372452 + 6705*b**2 - 1372452 + b to q + c*b**2 + g*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5.94, -13, -9?\nAnswer: 5.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3335 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-50)\/(-35))\/((3\/7)\/3). Let x be 4\/((-8)\/v)*3\/5. Let k be 1 + 0 + (75\/20)\/x. Which is the biggest value? (a) -2 (b) k (c) 1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.173 - 80.\nAnswer: -80.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -952554564.16?\nAnswer: -952554564.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2. Let b = 6 + -22. Let j = b - -18. Let d(a) = 2*a**2 + 2*a**2 - 2*a**j. What is d(t(s))?\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32858, -67010, -102456, -139196, -177230?\nAnswer: -216558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3798, 15143, 34036, 60477, 94466?\n\"Answer: 3774*g**2 + 23*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1589 + -1567. Which is the third smallest value? (a) -0.2 (b) w (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ceeekebbbkkeee.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**4\/2 + 36105*m**3\/2 + 6360750*m**2 + 568025250*m + 2683365000 = 0.\nAnswer: -170, -5, 12380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6148 + 3059 - 14*k + 3031)*(0*k + 2*k + 0*k) as g + y*k + i*k**2 and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50038022 is divided by 17447.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22021301220 + -21?\nAnswer: -22021301301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*a + 17. Let v be a + (2 - 1) + -3. Suppose 0 = p + 5*n - 43, 4*p - 194 = -3*n + 5*n. Calculate the greatest common divisor of p and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - r**2 + r + 24 - 3*r**2 to d*r**2 + q*r + h and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/5 or -48?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.762 + 12.5. Let x = a + 0.26015. What is x rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -78.4 (b) -0.5 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.3111l in millilitres?\nAnswer: 263311.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-6)\/(-21)*2\/(-4))\/(39290\/(-27503)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0\/1)\/(-3))\/(-2). Let y(o) = -o**3 + 3*o**2 + 3*o - 4. Let m be y(3). Suppose 12 = -m*x + 7. Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 - 22349*s + 5*s**2 + 3 + 44700*s - 22352*s.\nAnswer: 5*s**2 - s + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -474, -718, -966, -1218, -1474?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/13 - 150*k**4\/13 + 2622*k**3\/13 - 7130*k**2\/13 - 9900*k\/13 = 0.\nAnswer: -90, -1, 0, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 = -5*z - 186. Let a = -56 + z. Let v = 14 - 3. Solve -2*b - a = -4*p, 4*b - 2 = 5*p - v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-109)\/(-545) - (-34)\/(-20))*(1 + 1). Let q(t) = 5*t + 8. Calculate q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 26. Put z, -1\/3, 34 in decreasing order.\nAnswer: 34, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48904414*i**3 - 3*i**2 + 68051261*i.\nAnswer: 293426484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 928 + -927. Suppose -3*b - o = -4 + 1, -2*o = -b - 6. Let i be 2*(1*-1 - -3). Solve b = -t - i - m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) - (sqrt(1539) - (5 + (sqrt(1539)*-2 - sqrt(1539)))**2) - (sqrt(190)\/(sqrt(40)\/sqrt(4)) - (sqrt(1216) + 1)).\nAnswer: -263*sqrt(19) + 13877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.198397363 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33060 is divided by 2527?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgwthwbgwwdddgd. What is prob of picking 1 t, 1 d, and 1 h?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -2.3. Let c = 0 + r. Let x = 919\/7 - 131. What is the biggest value in -0.3, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b**3*f**3 + 267*b**3*f - 1298*b**3 with respect to f.\nAnswer: -21*b**3*f**2 + 267*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 (base 15) in base 14?\nAnswer: -27d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 23466510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40\/17 (b) 22\/2405 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18479*g**3 - 2*g + 1. Let d be o(1). Let i = -258579\/14 + d. Find the common denominator of 41\/18 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -39*(-445)\/105 + 4\/(-14).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Suppose w*v + 0*v = -2. Let z = -4.2 - -4. Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5949, 5912, 5865, 5802, 5717?\n\"Answer: -j**3 + j**2 - 33*j + 5982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 3. Let g(h) = -3. Let q(o) = -g(o) - y(o). Let d(s) = 4*s - 12. What is q(d(c))?\nAnswer: 16*c - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*a - 86 = -146, 0 = d - 6*a - 47 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) -0.23 (c) 1.64 (d) -2\/9 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 45. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2511001 times -69\nAnswer: -173259069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -207984 divided by -42\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 31*v**3 - 12*v**3 - 4*v**2 - 15*v**3 + 6. Suppose 0 = 4*j + 16 - 92. Calculate the remainder when z(3) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*z - 113 + 323, 0 = 2*z + 5*n - 113. Suppose -z*w = -40*w - 40. Suppose 5*u = 90 - w. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2456 is divided by 225?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (-10 - 3) + -18 + 6 + -17 + 12\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1.3, -0.3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2440 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115320 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (255\/(-30))\/17*(-8)\/(-7). Let h = -0.5 - -0.5. What is the nearest to h in g, -4, -26?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147650, -147598, -147546, -147494, -147442, -147390?\nAnswer: -147338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 40. Let y = 11 - n. Calculate the remainder when 64 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010111101 (base 2) to base 4.\nAnswer: -22331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(80)*2*-2)**2 + 0.\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171302773\/35 - -4893853. Let z = t - -512. Let h = 3 - 2. Which is bigger: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-31 - -15) + 30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjjjjj. What is prob of picking 2 j?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/120*8\/(-24)*-36.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:06 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10971221*i**3 + 360454*i**2 + 25?\nAnswer: 65827326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -24.999895. Round r to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 - 172. Calculate the common denominator of (-1)\/j*1479\/(-34) and (-7)\/16*15\/(-12).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -63403372498\nAnswer: -63403372497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13688?\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-10 - -10)) + -11 - (-14 + 40)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cncscessmss. Give prob of picking 1 m and 2 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32993.34 rounded to the nearest 10?\nAnswer: -32990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89*z**4 - 10*z**3 + 4*z**2 - 2*z**5 + 191*z**4 - 94*z**4.\nAnswer: -2*z**2*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -53. Solve b + c*b = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 532 - 2?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-41) - 6308\/(-1558). Let c(n) = -2*n**2 + 3*n - 7. Calculate c(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(6\/2))\/(2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-6)\/(-8)). Let q(x) = -3*x**2 + 9*x**2 - 5*x**v. Let j(c) = -c**2 - 3*c**2 + 2*c**2. Determine j(q(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -333*c - 5271. Calculate p(-16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5748?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 116613?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 412082843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*r + 1 = -8, -4*k - 15 = 5*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.062, 3\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 206\/3*q**3 + 13 - 249\/4*q**4 + 0*q + 0*q**2. What is the third derivative of l(w) wrt w?\nAnswer: -1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 16. Let g(n) be the first derivative of -3*n + 18. Determine -2*f(j) + 11*g(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, j: 6}. What is prob of picking 3 j and 1 x?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyhvvgvwgjwgwgg. What is prob of picking 1 g, 2 w, and 1 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5*v + 18595. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10313*f + 6. Let t(w) = -2*w**2 - 16*w. What is p(t(i))?\nAnswer: -20626*i**2 - 165008*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k**5 - 21*k**2 + 2*k + 5. Let v(f) = -2*f**5 - f**3 + f**2 + f + 1. Let i(x) = 2*v(x) - y(x). What is the third derivative of i(a) wrt a?\nAnswer: 420*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.18 + 0.08. Let p(q) = q**2 + 3*q - 10. Let y be p(-5). Let w be (-2 - y) + (-40)\/(-18). Put o, 5, w in decreasing order.\nAnswer: 5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*t**2 + 220*t**2 - 2*t - 442*t**2 + 2*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/227, 161, 0?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.234623859 rounded to five dps?\nAnswer: -0.23462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - d**2 - 3*d + 11*d**2 - 4*d**2.\nAnswer: 7*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a6595928 - -3?\nAnswer: a6595930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - 14\/(-4). Let k(n) be the second derivative of 1\/20*n**5 + 0 - n**2 - 1\/3*n**3 - 1\/3*n**4 - 69*n. Give k(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -7 + 17. Suppose -y + x = -5. Solve 1 = v - i - 0*i, -5*v - 5*i = y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/15 and -69\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511, 516, 533, 568, 627?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {p: 1, l: 5, s: 1, f: 1, c: 1, e: 3}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 10:53 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/2)\/(t*t**(4\/5))*(t*t**(-1\/3))**(2\/125))**32 assuming t is positive.\nAnswer: t**(8528\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 60 - (6 + -3 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2 + 14*f + 7. Let z(y) = 3*y**2 + 7*y + 4. Let n(g) = 2*o(g) - 5*z(g). Let w be n(-5). Solve w*s - 16 = 4*h, -2*s + 13 = -3*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*l - 29, -4*l - l = -5*c + 15. Let s be (-3 - c)\/(2\/258). Round s to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1929 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 = 16. Let g = 792 + -474. Is (g\/a)\/(9\/18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 6*g + 6. Let q be i(4). Let c be (q + 0)\/((-7)\/21). Suppose -5*l + 21 = c. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*p = -p - 9, -2*s + 7 = -p. Find the second derivative of s - 3*a**4 + 8*a - 4 - 13*a wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.3. Let x = -197 + 201. What is the second biggest value in 5, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i + 75. Let r(s) = 12*s + 148. What is -5*b(m) + 2*r(m)?\nAnswer: -16*m - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*s - 13, -s = -h - 3 + 10. Let w(m) = 12*m - 3. Is w(h) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 5*j**2 + 3*j - 4. Let a be u(5). Find the third derivative of 150*i**3 + 8*i**2 - 150*i**3 + a*i**6 wrt i.\nAnswer: 1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c - 25*c - 70*c + 6488 = -442 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.5986744 hours?\nAnswer: 35.920464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v**2 - 1. Let n(c) = 2427913*c. Determine q(n(t)).\nAnswer: 123789992246949*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308 + 161. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111110002 (base 3) to base 10.\nAnswer: 88535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b*r**5 - 588*b*r**4 - 3*b*r - 287*b - 2*r wrt r?\nAnswer: 140*b*r**3 - 7056*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4\/3 - 5*n**3\/6 - n**2 + 2*n. What is the remainder when t(v) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 - 13589*f - 593589. Determine w(-43).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9597476 grams in nanograms?\nAnswer: 959747600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5199830*a**5 - a**2 - 294134*a + 4.\nAnswer: -103996600*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 810\/108*23\/((-6440)\/(-96)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*s - 36968, 26*h - 30*h = -5*s - 29590. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/23, 1\/2, 3\/7, 0.4, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2*h**2 + 2*d*h**2 + 6*d*h - 293*d + 3*h**2 + 1721 wrt d?\nAnswer: 2*d*h**2 + 2*h**2 + 6*h - 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 5*h**3 - 45004*h + 45004*h + 4*h**2.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/224 + (-2)\/(-7). Which is the nearest to 0? (a) 0.1 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -k + d, 2*k = 6*k + 2*d - 154. Suppose -7*b - k = -8*b. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m = -19*m + 191568. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {w: 2, p: 2, u: 1, v: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25028*h**3*i**3 + 5321966*h**3 - 92*i**2 with respect to i.\nAnswer: -75084*h**3*i**2 - 184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - -13) + -18 + -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-28)\/6) + 11\/33?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 6. Let v(g) = 2*g**3 - 2*g**2 + 3*g + 2. Let p be v(-2). Determine m(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005924497593 to 7 decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:15 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 103. Suppose -2*y = 3*m - 24 - 4, 5*y - 5 = -m. Calculate the remainder when b is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1530 and 520794?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1500 and 1200.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 188859047 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (296*(-68)\/(-8806))\/(8\/(-28))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 3*p**2 - 7\/12*p**4 + 1\/20*p**5 + 0 - 10*p - 3\/2*p**3. Calculate c(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 1 - 4*a + 2*a + 4*a - a. Let r(h) = -6*h**3 - 2*h**2 + 7*h - 2. Let g(x) = -r(x) + 2*y(x). Find the second derivative of g(z) wrt z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15769*b = 18954*b + 324870 for b.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -29*y**2 - 5. Calculate k(3).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 91*z + 2. Let s be g(-2). Let p = s + 1262\/7. Let w = 4 + -7. What is the second biggest value in 3\/4, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 40. Let f be i(21). Suppose -3*q - f*q - 795 = -4*y, 0 = 4*q - 2*y + 636. Let x = q - -346. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4050176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -105\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.938 + -27.937942455. Round x to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-3))\/((-45)\/(-135))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(704) + 1)**2 - sqrt(704)) + -3 + 3*((sqrt(704) - (sqrt(704) + (-2*sqrt(704) - sqrt(704)))*-6)**2 + sqrt(704)).\nAnswer: -32*sqrt(11) + 256262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931) + -1 + 0)*3)**2.\nAnswer: -252*sqrt(19) + 33525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)\/((w\/(w*(w*w**(-6))\/w))\/w*w))\/((w\/((w**(5\/3)*w)\/w))\/w*w*w**(1\/10)*w) assuming w is positive.\nAnswer: w**(-163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35870 is divided by 1382?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 143?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17539 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42298046*m**2*s**6 + 95*m**2*s + 17*m**2 + 9*m*s + m + 197*s**2 wrt s?\nAnswer: -5075765520*m**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 2. Let f(o) = -2 - 4 + 6*o + 0. Let p = 1 - 4. Let w = -14 + 4. What is p*f(b) + w*x(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c. Let j = 0 + c. Calculate the lowest common multiple of 2 - (j - (0 - 1)) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3413334679.\nAnswer: 3413334679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = -14. Let y(o) = o - 3. Let s be y(k). List the prime factors of 5*s*(-4)\/10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16973504 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -115, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 602 - 598. Suppose 0 = -j + 6*j + 20. Let s = j + m. Solve q + 2 + 0 = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**3 + 181*g**3 - 103*g**3 - 26*g**3 - 24*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 592*q = -595*q + 28, 5*y + q = -22 - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55461?\nAnswer: 3, 7, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-1050)\/(-147)))\/((-132)\/(-550))?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgmtrtbbm. Give prob of sequence wgt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -11 - 14. Put -2, 1, q in descending order.\nAnswer: q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73548, -147071, -220566, -294027, -367448, -440823, -514146, -587411?\nAnswer: -660612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3773 + -3771. Let c(i) = -2*i**2 - 5*i**3 - 3*i + i + 3*i - 3 + 4*i**3. Let k be c(-3). Solve r - z*m + m - k = 0, 3*r - m = 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15296773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggghhhghggghg?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 30.5524651.\nAnswer: 23.5524651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2151485 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 18. Let f = 15 - n. Find the first derivative of -2 + 0*m**3 - 4*m**3 + f*m**3 wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 1683\nAnswer: 8415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 321479 - 401453. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -28. Suppose -k*m + 4 = g - 9, 3*m - 26 = -2*g. Suppose 2*j = -g + 69. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146827566 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*m + 11 = 63*m + 5016 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 53 (c) 3\/4 (d) -1 (e) -0.3201 (f) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31160 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7*m = 281 - 913, -12*s + 5*m + 1688 = 0. Factor -s*v**2 + 640*v + 64\/5*v**3 - 2\/5*v**4 - 800.\nAnswer: -2*(v - 10)**3*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j, -3*j - 2105 = -5*w + j. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -207*k - 4. Let g be o(2). What are the prime factors of 18\/(-27) + g\/(-6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 15. Let i = -1 + l. Suppose -6*s = -0*s - 270. Calculate the highest common factor of s and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkskusskfuuifs. What is prob of picking 3 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16332740?\nAnswer: 2, 5, 83, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/9 + 25072*a\/9 - 2786 = 0?\nAnswer: -12537, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (31 + -34 - (-2 + 0))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d - d**3)*(970 + 1173 + 24817*d - 2143).\nAnswer: -24817*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/918637307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 10179*i. Let a(o) = 36*o**2. Calculate r(a(g)).\nAnswer: -2592*g**4 + 366444*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 3 + 0*p**2 + 5*p + 4 - 3*p in the form h*p + o + r*p**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059531607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 2.98. Let f = -17\/7 - -89\/28. What is the nearest to -0.9 in o, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/3, -205 in ascending order.\nAnswer: -205, -1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57\/11 - 443\/77. Which is the closest to 1\/2? (a) 0.02 (b) v (c) 19 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362062.\nAnswer: 2, 181031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 51?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 280. What is the remainder when b(-44) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 0*a + 5*a)*(0 - 29 + 6) to the form d*a + l and give d.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -108*b**3 - 6*b - 3. Let a(f) = -215*f**3 - f**2 - 10*f - 5. Calculate -3*a(v) + 5*j(v).\nAnswer: 105*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285 + 2910. Calculate the greatest common divisor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*a**4 + 16030*a**3 - 257585*a**2 - 151140*a - 21780.\nAnswer: -5*(a - 33)**2*(7*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 4*x - 3. Suppose 3*l - l = -2. Let u be 2 - l - (-52 - -10). Suppose f + 4*m = -4*f - u, 0 = -f + 5*m + 20. Calculate h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10397.\nAnswer: 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35595\/(-27) + 1\/3. Find the common denominator of b\/(-120) + 2\/(-5) and -47\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(2 + (-4*(sqrt(1900) - sqrt(1900)*-2) - (sqrt(1900) - 1*(-1 + sqrt(1900)) - sqrt(1900))))**2.\nAnswer: -660*sqrt(19) + 689698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1750907089\/1206 + 1451830. Calculate the common denominator of 77\/670 and h.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 24*r - 23. Let p be o(22). Suppose -2*b + 51 = p. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-7 - (-8 + 1)). Solve 4*t - 16 = -a*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.26 + -2.36. Let h = 13 - o. Let x = 0.9 - 1. What is the closest to x in h, 0.5, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2008, -2014, -2030, -2062, -2116?\n\"Answer: -v**3 + v**2 - 2*v - 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 39)*((-1230)\/(-84) + -14)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 219432*a + 219435*a + 448*a**2 - 3 to the form u + n*a**2 + k*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - 16*h - 9. Let b be y(-7). Let s = 290 + -286. Sort s, -5, b, -4 in ascending order.\nAnswer: -5, -4, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*h*k**4 - 311*h*k**3 + 6*h*k - 23616*k**2 wrt k.\nAnswer: -3672*h*k - 1866*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 5450?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 289.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7173 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*p + 2*m, -p - 2 = -5*m - 10. Let x = -41 - -42. Sort p, -5, x.\nAnswer: -5, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.34494kg in grams?\nAnswer: 31344.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 1767.\nAnswer: 21204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 162 - t + 198 - 104 as d*t + w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -76316 times 110\nAnswer: -8394760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -174, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 232.\nAnswer: 3\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 12*c - 320. Suppose 5*z + c + 3 = 0. Let f(k) = -2*k + 4. Does 5 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 - 2*x - 3. Let z be -2*1\/((-4)\/(-16)*-2). What is r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/55 - 79\/440. Which is the nearest to 22? (a) -2\/19 (b) m (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from tottttttttttttotto.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 25606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -278 - -289. Which is greater: 74\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(1\/8)*y))**(-19)\/(((y\/(y*y\/(y\/(y*y**(-1))))*y)\/y)\/(y*y\/(y\/(y*y**(-8\/5)))*y)) assuming y is positive.\nAnswer: y**(151\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 * 26858\nAnswer: 171891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 19 = 4*i - 5*i - 14*s + 19, 8540*i - 8537*i - 2*s = 103 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5))**(-4\/3)*(y*y\/y**(-2)*y)**(-47))\/(y**(-10\/9)*y**(2\/9)*y*y)**(-16\/11) assuming y is positive.\nAnswer: y**(-115393\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19212729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = x - 31, -3*z = 3*x - 6*x + 48. Suppose -22*g + 18*g + 308 = 0. Calculate the greatest common factor of g and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -2, -6 in ascending order.\nAnswer: -6, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 2. Let v(s) = 2*s - 1. Let i(h) = -h**2 - 7*h - 9. Let r be i(-6). Let p(g) = r*t(g) - 5*v(g). Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = -3*w + 1537. Calculate the highest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 10*v**2 + 6*v + 7. Let d(q) = -2*q**3 - 21*q**2 - 12*q - 15. Let s(o) = 4*d(o) + 9*h(o). Let n be -5 + 2 - (-1 - -3). Determine s(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 45. Let i(z) = z**2 - 19*z - 52. Let p be i(k). Which is smaller: -113 or p?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q - 60. Let o be a(20). What is the greatest common factor of 48 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 + 6*s**2 - 6. Let t(z) be the third derivative of z**6\/40 + z**5\/12 - 5*z**3\/6 - 5*z**2. Determine 5*d(v) - 6*t(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 + 56 = 0. Let z = -5 - -5. Suppose -s = 0, -p + s + 9 + a = z. Calculate the highest common divisor of 225 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -20*w. Solve 5*z - 6 - 4 = w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.34474243 rounded to 1 decimal place?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1382, -1390, -1394, -1394, -1390?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 23*j - 20*j = 0. Suppose j = -i + 2*r + 384, 0*i + 5*i - r = 1956. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -0.1 (c) -2 (d) -47\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/5 - 2) + (-136)\/(-20). Solve m + 5 = -3*r - 2*t, 4 = -r + 5*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23074651 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27 + ((-3)\/5 - 156\/65). Solve 0 = 5*y - 9 + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204420 (base 7) to base 15.\nAnswer: a666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*x - 93 + 105 + 27*x + (-5*x - x + 4*x)*(-8 + 2 + 1).\nAnswer: 68*x + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2329.043961 to the nearest integer.\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167.013 - 167. What is b rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093 - 128 = -49*h - 45 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.4. Let q = -3.9 + j. Let s = 65 - 65.5. Which is the third biggest value? (a) 0.1 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 45. Suppose -2*l = -3*q - 7*l - 11, r = 4*q - l. Suppose -1445265 - 354735 = -q*i. Round i to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 31221.1\nAnswer: -124884.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(0*k - 3*k + 5*k)*(-1 + 1 - k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*x + 24 = 0, -2*t + x + 0*x = 9. Let h(a) = 2*a - 24746 + 2*a**2 - 24754 + 0*a**3 - a**3 + 49502. Give h(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, c: 4}. What is prob of picking 3 c and 1 p?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d**5\/5 + 7562336*d**4\/5 + 223399912996*d**3\/5 + 335087108164*d**2\/5 + 25131308608*d + 2792357120 = 0. What is d?\nAnswer: -59080, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*i**4 + i**2 - 5\/3*i**3 + 3*i + 0.\nAnswer: i*(i - 3)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + 12 - 50 - 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14059 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -782 - -1388. What are the prime factors of j?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g - 1\/2*g**2 + 33. Determine q(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-160)*273\/(-30) - 3\/48.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by -225.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.8 - 59.963333?\nAnswer: 59.836667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30 - ((-36)\/(-10) - 34\/(-85)). Calculate the greatest common divisor of z and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 10.24. Let j = -0.04 + f. Which is the closest to j? (a) 5 (b) -3\/5 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + -3.3. What is the nearest to p in 2\/5, -2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 8 = 4*c, -3*j + 2 = -3*c + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 14) in base 6?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.3. Let u = 10632\/23 + -2592713\/5612. Let w = u - 1\/61. Which is the smallest value? (a) w (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4630605 to the power of 1\/2, to the nearest integer?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-516)\/(-512) - -3)*-3. Are s and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(0*n**3 + 4*n**3 + 8*n**3) + 0*n**3 + 5*n**3 - 3*n**3.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**3 + 37*g - g**2 + 36 + 190*g**4 - g + g**3 - 2*g**3 - 4*g**3 wrt g?\nAnswer: 2280*g**2 + 24*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34294871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(-3581 + 1899*z**2 + 3581) as v*z + d*z**2 + j and give d.\nAnswer: 3798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.3. Let s = -36 - -35. Which is the nearest to s? (a) l (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3557 != 921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 72*o + 197. Calculate r(-12).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 15, -9*y + 10*y - 3*o = 15. Suppose -4*w = -3*f + 89 + 204, y = -4*f + 2*w + 384. Calculate the highest common divisor of 57 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5*p**2 - 2*p + 3. Let f be c(2). Suppose -k + f = -2. Calculate the remainder when k is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (-2 - 2 + 3)*(3 + 2 - 1))*(-187 + 21*q**2 + 187).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-15)\/36)*(-130)\/78\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 0.2 (c) 0.3 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*f = 2007*f - 953*f + 570 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**2\/4 - 620*c.\nAnswer: -c*(9*c + 2480)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let z(s) = -5*s. Let j(l) = 12*p(l) - 3*z(l). Let y(u) be the third derivative of -u**4\/24 + 32*u**2. Determine y(j(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 8, t: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/8*6\/21*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 1146?\nAnswer: 1146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52, 94, 148, 220, 316, 442, 604, 808?\n\"Answer: a**3 + 35*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 2*v + 3*v)*(4*v**2 - v**2 + 3*v**2) + 3*v**3 + v**3 - v**3 + v**3 + 2*v**3 - 2*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + 22 + -16 + 26\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 47*h**6\/3 - h**3\/3 + 135*h**2\/2 + 274. What is the third derivative of f(i) wrt i?\nAnswer: 5640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328 + -312.3. Let x = -16 + t. Let b = 11.5 - 11.5. What is the closest to 1\/2 in x, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.8 and 4.32?\nAnswer: -76.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 12. Let w be j(-6). Suppose -w = -2*k - k. Suppose -4*b = -3*b - 2. Solve -k = 2*c + b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**7\/30 + y**4\/6 - 7*y**2\/2 - 4. Let r(q) be the second derivative of i(q). Find the second derivative of r(m) wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2571, 5480, 8389, 11298, 14207?\nAnswer: 17116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - -4 - (-16)\/4. Let y be m\/(-6) - 1568\/48. Let s = y + 43. Calculate the remainder when 38 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/(-84)*24928\/(-3686228)\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*q - 14, -4*c + 2*q = 7*q - 29. Let k = -1209 + 1185. Let n be (3 + k\/9)\/(c\/6). Solve 0*t + 6 = n*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 366 + -271. Which is bigger: t or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(5*r + 5*r + 5*r)*(5*r - 2*r - 2*r).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2 - -1*sqrt(125))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y + 21. Determine o(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {d: 4, k: 4, f: 1, b: 1, a: 2, n: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4237*g**2*m + g**2 + 729 wrt m.\nAnswer: -4237*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {q: 1, n: 1, l: 4, y: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2653010*d**2 + 738780?\nAnswer: -5306020*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*u = 62, 17*c - 16*c + u = 14. Solve o + r - 2 = 0, 0*o + 2*r = -4*o + c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1125 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 12. Let h be q(5). Suppose 0 = -h*o + 3*o + 170. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1790526, 3581049, 5371572, 7162095, 8952618?\nAnswer: 10743141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 0*v + 0*v - v**2 + 0*v**2 - v**2 + (0*v + 2*v - v)*(-v - 3*v + 2*v) - 35 + 35 - 7*v**2 + 3*v**2 + 3 - 3.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11415, 22794, 34173, 45552, 56931?\nAnswer: 68310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*f + 443*f = 113*f + 195*f - 8764 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 1 = -10*m. Are -2\/237 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-3 + 3 - 1)*(2 - 3 + 2)*(1464 - 265*y - 1464).\nAnswer: -265*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:13 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - p**2 + p - 2. Let l(n) = -77*n**3 + 3*n**2 - 3*n + 1. Give l(k) + 3*s(k).\nAnswer: -83*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -n + 6, -n + 6 = 2*y - 8. Calculate the smallest common multiple of (-1 - -1) + (-4)\/(-2) and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-9) + (9 - 736\/69).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 18*q - 26. Calculate f(12).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, t: 2, m: 13}. What is prob of picking 3 m?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**8\/504 + i**6\/90 - i**4\/36 + 3*i**2. Suppose d(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120890 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5*48\/(-16))\/1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/10)\/p*p**(-13)*(p\/p**(-10))\/p**(-10))**(-1\/55))**(-10) assuming p is positive.\nAnswer: p**(67\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5*s - 4*i**5 - 347*i**2*s - i*s - 9*i + 595*s wrt i?\nAnswer: 20*i**3*s - 80*i**3 - 694*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 18*i - 27. Let v be w(16). Find the common denominator of 34\/5 and (-6)\/((-588)\/(-427)) + v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 2121, 4447, 7421, 10881, 14665, 18611?\nAnswer: 22557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 4. Suppose 0 = -2*g - g + 48. Suppose -9*c + 25 = -4*c. Solve 0 = -5*i + c*t + v, -4*i = 5*t - 3*t + g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/21450)\/(((-462)\/(-121))\/(-7))*1*9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (23*(-2)\/(-4) + -4)\/(14\/28). Solve -t = 5*h - 4*q, -h - q - 6 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 4. Let d = u + 3. Suppose -4*z + d*i - 5 = 9*i, 3*z - i - 1 = 0. Solve -4*g = -z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50814*t**2 - 8*t**3 + 25408*t**2 + 25404*t**2.\nAnswer: -8*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-1) - (-5 - -13). Let t be (2\/r)\/(6\/8 + -1). Find the second derivative of 18*z**3 - 10*z - 155*z**2 + 155*z**t wrt z.\nAnswer: 108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 32. Suppose -3*f + y + 98 = 0. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 8*a + 3. Let x be z(9). Let c be (x\/(-5))\/((-9)\/(-30)). Suppose -c*m + 6*m = 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + -1 + 0 - 2)*(-1375 + -18483).\nAnswer: 2, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(1\/2)*p*p*(p**(-3\/7)\/p)\/p)\/(p**(1\/2)*p*p)**(2\/9))**(3\/11) assuming p is positive.\nAnswer: p**(191\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 74655\nAnswer: 29862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-74 - -31 - -24) + -2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-2)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, a: 1}. Give prob of sequence it.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1. Let a(b) = 45*b + 9. What is a(v) + 9*o(v)?\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (2*-5*sqrt(304) - (-4 + sqrt(304) + 2))*-2.\nAnswer: -10 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1281 + 1301 = -4*p, -h = -5*p - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-3*sqrt(121) - sqrt(121) - sqrt(121) - sqrt(121)) + sqrt(121))*-3*-3)\/(1*3*sqrt(275)*1).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 126095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532823783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42233433 + -10?\nAnswer: 42233423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 22 (c) -4 (d) 24 (e) 1 (f) 7 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228939 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v + 18*v - 18*v - 23*v.\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 793 - 2060. Let u = 1267.677 + n. Round u to 2 decimal places.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2002 + -1963.07. Round s to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 51*w**3 - 18*w**2 + 8*w - 4. Let t(n) = -n**2 - 2*n + 1. Let r(h) = -p(h) - 4*t(h). Find the third derivative of r(u) wrt u.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-680)\/25*(-10)\/4?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + j - 1. Let i(c) = 22*c**2 - 11*c + 11. Let p(v) = i(v) + 11*u(v). Let t(y) = y. Calculate p(t(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/(-40))\/(2\/(-10)). Suppose 5*q = 33 + 52. Solve 0 = 4*d + 4*i - 8, 3 = m*i - q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnhhfozffn. What is prob of picking 2 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 3344083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 - 33*d**2 - d**2 + d**2 + 2*d**2.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 14948643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 15. Suppose -6*g + 9*g = 6. Calculate the smallest common multiple of l and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 3*t - 5. Suppose -5 = -k - 0. Calculate i(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 985, 1981, 2977?\n\"Answer: 996*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062 less than 15?\nAnswer: -3047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 21*o**5\/5 + 279*o**4\/4 + 19*o**3 - 279*o**2\/2 - 78*o - 291. What is h in i(h) = 0?\nAnswer: -13, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5546880 to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235964476, -471928950, -707893424, -943857898, -1179822372, -1415786846?\nAnswer: -1651751320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxmxxxmlxext. Give prob of sequence tmml.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1566 and 814?\nAnswer: 637362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + -1743?\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -216c10 (base 14) in base 8?\nAnswer: -4244536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddda when four letters picked without replacement from {d: 12, u: 4, a: 4}.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1911, 1913, 1917, 1923, 1931?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5 + 5)*(0 - 1 + 3) + 28*t - 17*t - 67*t.\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 5)*(5*h**3 - 2*h**3 - 2*h**3)*(-279*h + 15*h + 44*h).\nAnswer: 2200*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/352 + (-375)\/500?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r - 3 - 1\/2*r**2. Let o(x) = -2*x. Let a(d) = d**2 + d. Let u(i) = -2*a(i) - o(i). Calculate u(g(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*p = 116*p - 85. Let v(b) = -b - 7. Let x(c) = -6. Determine p*x(s) - 4*v(s).\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*y + 0 + (2 + 2 - 2)*(2*y - 2*y + 2*y) + 3*y - 3*y + y - 6*y + 4*y + 0*y + 2*y + 3*y + 3*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:02 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*c + 7, -95 = -2*f - 3*c. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*n + 29900 = -203*n + 87*n for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 5:39 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k - 9*k + 3*k + 32*k - 14*k - 5580*k**2 to the form d*k + m + l*k**2 and give l.\nAnswer: -5580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 + u + 2. Is m(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -79, -83?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209142917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6530 divided by 2\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1. Let u(o) = -3*o - 9. Let j(f) = -u(f) + 9*v(f). Let d = 32 + -26. Let r(s) = s**2 - 5*s**2 + d*s**2. What is j(r(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxysyooxxoxgyyydxsdx. Give prob of sequence dd.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52843100 - 2*j + 52843100.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1853492092 to the nearest integer?\nAnswer: 43052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Suppose 68 = 4*z - 76. Let d be z\/8 - (-6)\/4. Let c(h) = -10*h + 10*h - d*h**2. Calculate r(c(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p**2 - 1. Let a be q(-1). Suppose 4 - a = 2*s. What is the units digit of (2\/s)\/((-1)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258930934 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 3*i)*(456 - 9*i - 7*i - 455).\nAnswer: -32*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6094179 millilitres in litres?\nAnswer: 0.0006094179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 310 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 5. Let j = 189 - 144. Let h be 4 - (-1)\/((-5)\/j). Calculate l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -5*n**3\/3 + n**2\/2 - n - 10. Let a(h) = 3*h**3 + h. Let y be a(1). Suppose -2*i = g - 3, y*g - 7 = -5*i + 2*g. Give k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.4, 0.5, -1\/5, 6, 2\/11, -1.277?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:43 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l**3*m*n*u - l**3 - 45*l*m*u - 3*l*n + 5*m*n + 57*n*u wrt m?\nAnswer: -4*l**3*n*u - 45*l*u + 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 357*j + 348*j - 269*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.021 at most 1494636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45343652639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2179.7105774 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 331 + 5?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l + 8296*y - 8293*y + 75, -4*l = -6*y + 30 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*o - 26*h**2 - h*o - 11032*h + 23955*o - 7 wrt h.\nAnswer: -2*h*o - 52*h - o - 11032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q + 4. Let w be k(-8). Let j = w + -89. What is the tens digit of (-309 + (j - -4))*1\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/3064 and -15\/92?\nAnswer: 70472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 294.702 - 0.702. Let n = m - 294.00000143. What is n rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, o: 1, e: 7, y: 1, r: 1}. What is prob of sequence oc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -7 (b) 0.2 (c) -2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 223 = 33*x, 5*g + 4*x - 33 + 25 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 51*k**2 + 103*k + 2136. List the prime factors of s(-53).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -18. Let y = -396 - -395.932. Let f = -1.068 - y. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -319, -1343, -3051, -5437, -8495, -12219, -16603?\n\"Answer: r**3 - 348*r**2 + 13*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 69, 100?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 1:00 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - v)*(-17 - 128 + 16 + (0 - 4 + 3)*(-1 + 3 + 0) + 1 + 0 - 2 + 2 + 0 + 0)*(-3*v + 3*v - v + (-v - 2 + 2)*(4 + 0 + 2) + 2*v - 1 + 1).\nAnswer: -650*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, u: 9}. What is prob of sequence zuzu?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991 - 125 = 100*w + 86*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**2*v + 571*f**2 + 14347*f*v + f wrt f.\nAnswer: 40*v + 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wznlbwnnzzowwll. Give prob of sequence no.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18251.94ml in litres?\nAnswer: 18.25194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 319 = -n, 4*n + m = -m + 1290. List the prime factors of n.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 339200\/(-3)*(-8 + -7). What is u rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6737 = -5*n + 2*n, -2*u + 13489 = -3*n. What are the prime factors of u?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22794, 22786, 22766, 22728, 22666?\n\"Answer: -z**3 - z + 22796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 18 = -29*f. What is the remainder when 51 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 395\/2 + -199. Sort 2, d, 1 in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**3\/7 + 11*m**2\/7 - 80*m\/7 = 0.\nAnswer: -16, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55162*g**4 - 265*g - 389?\nAnswer: 661944*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 9*a**2 + 4*a + 29. Let i = -9967 + 9958. What is z(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.85, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -3*a - 31*y, -2*a - a - 84*y + 79*y = -y + 2 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 688 = -32*d + 30*d, 349 = d + 3*q. What is the remainder when 2058 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**6\/2 - 3*m**4\/2 + 2*m**2 - 6*m - 62. Find the second derivative of n(i) wrt i.\nAnswer: -60*i**3 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -197, -281?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 566.476 weeks?\nAnswer: 3965.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**4\/2 - 10*t**3 + 13*t**2 - t. Let b be i(-8). Calculate the greatest common factor of b and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1749060 divided by -48585.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y + 4. Suppose -4*u - p = 25, -2*p = 7*u - 2*u + 35. Let r be a(u). Suppose r*d - 3*c - 16 = 0, 4*d - 3 - 9 = 2*c. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m = -14. Round m to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111000101111101100 (base 2) to base 11\nAnswer: -149699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 66\/18)\/((-2)\/(-36)). Is 2*(-1)\/(-12) - 3476\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60321286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 + 13*t**2\/5 - 52*t\/5 + 12.\nAnswer: -(t - 6)*(t - 5)*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g + 3. Calculate w(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.7, -4, -2\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 - -20. Let q = 92 + y. Put 0, 6, q, 3 in decreasing order.\nAnswer: 6, 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1819760.17 - 0.2798.\nAnswer: 1819759.8902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*v - 3*m, v - 25*m = -20*m + 55. What is the remainder when 176 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1617)\/105 + 3*5. What is the biggest value in 3, -8, 1.3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 18*s - 4 = 0, 0 = 5*u + 2*s - 189. Calculate the remainder when 71 is divided by u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612 + 258*w**3 - 165*w**3 - 612 - 95*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 722*i - 717*i + 5 - 181 = 91, 3*i - i = p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2680581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4756, 18953, 42620, 75763, 118388, 170501?\nAnswer: 232108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2023*x + 3 + 1 + 9 + 279*x. Is o(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 27 = 6*o, -3*n - 104*o - 28 = -99*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8036337809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.017*0.5049.\nAnswer: 0.0085833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqvv when four letters picked without replacement from vofffvvoqfqhff.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - l**2)*(5*l - 3*l - l) - 23 - 24*l**3 + 23 + 2*l**2 - 2*l**2 + l**3.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2430 and 1022340?\nAnswer: 82809540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*z - 3820 - 2180 = 0 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2101222 is divided by 207?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081713109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -11. Differentiate 2 - 9*g + x*g + 2*g with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(2 - (-26)\/(-16)). Suppose 0 = 3*s + s - z. What is the second derivative of 4 - 3*b**3 + s*b - b - 4 wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -3*1*sqrt(1377) + 4)*4 + -6*(5 + -1 + sqrt(1377))*-1)**2.\nAnswer: -1440*sqrt(17) + 7108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38056 - 13834. Suppose 140*l - 134*l = f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9391 + 28175\/3. Let p = 2.8 - 0.8. What is the nearest to p in -2\/5, r, -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2*x. What is the lowest common multiple of 24 and c(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 127*u**5\/20 - u**3\/6 - 28*u**2 + 1. Is d(1) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 12383.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0309024 and -345438?\nAnswer: 345437.9690976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*a**3 + 5*a + 92*a**3 - 109*a**2 - 5*a.\nAnswer: -245*a**3 - 109*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from ssfxzsszszszfssss.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (19 - (0 - -13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w. Suppose 7*y - 8*y = -1. Let c(m) = -5*m**3 - 6*m. Suppose -3*k = -2*k - 6. Determine k*v(a) + y*c(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004\/(-68) + -12 - -27?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/6 in -2\/15, -5, 8, -4, -9, 308?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 3*r - 46. Let w(q) = -1490*q**2 + 7746*q + 46. Let i(v) = -k(v) - w(v). What is the second derivative of i(u) wrt u?\nAnswer: 2978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -51 + -31 + 50\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5*4\/(-70))\/((-4)\/14). Which is greater: 11\/28 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 - 3*h**2 - 8*h**2. Let i(v) = -20*v. What is i(l(t))?\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 718*f + 44 = 722*f, 2 = 2*u - 3*f. Solve 0 = u*x - 18*x + 88 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuy when three letters picked without replacement from {u: 4, b: 2, y: 1, j: 7, o: 5, l: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -284743?\nAnswer: -284728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -27, -4, -1 in descending order.\nAnswer: -1, -2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3 + 9*y**2\/2 + 14. What is the second derivative of q(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 10*i - 25. Let n be j(4). Let y = -87 + 961\/11. Is y not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-12))\/((-1)\/(-3))*(-52928)\/(-4538576)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7930*v - 6076 = 8126*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146*m - 20 = 8*w - 1149*m, 21 = -5*w + 4*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*g + 63*g + 3384 = -92*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3 - 3)*(4302*a**3 - 114443*a**2 + 114443*a**2)*(5 + 3 - 3).\nAnswer: 43020*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27034 - 8\nAnswer: -27042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5010 in 5, -0.4, -163\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*q**2*y**5 + 225*q**2*y**3 - 260*q**2*y**2 - 3*q**2*y - 2*q*y - 2*y**2 wrt y?\nAnswer: 4860*q**2*y**2 + 1350*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -177 - -202. Let p = i - -81. Does 53 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoao when four letters picked without replacement from {a: 12, o: 2, z: 1, x: 2, q: 3}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3500.986058 - -0.2?\nAnswer: -3500.786058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-6)*l*l*l*l**(-2\/3)*l)\/(l**(1\/4)\/l)**(6\/5)*(((l\/(l**4*l))\/l)\/l)\/((l*l**3)\/l)*l\/l**(2\/3)*l**(-5) assuming l is positive.\nAnswer: l**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9327 - -484. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1 + -2)*43\/4 - (60098 + -60093)?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (154592\/400*-5)\/((-6)\/435) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*j - 700, 7*w - 3*j - 708 = 4*w. List the prime factors of w.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.28066 - -0.65188. What is s rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -31*h**2. Suppose 0*x - 2*l - 105 = -5*x, -3*l - 63 = -3*x. Let n = x - 19. Let o(s) = -2808*s + 2808*s + 2*s**n. Give o(v(a)).\nAnswer: 1922*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -14*k + 36, 8911*m - 20 = -4*k + 8917*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 + -3.12. Let h = t + 1.36. Let b = 0.14 + h. What is the second biggest value in b, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + -1 - (-1 + -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19394, -38783, -58186, -77609, -97058, -116539, -136058?\nAnswer: -155621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (19656\/396)\/39*(-22)\/(-6)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 681.63274 in -15, 0.5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6673*f**2 + 17 - 23509*f**2 + 30*f**2 - 16 to p*f + i + b*f**2 and give b.\nAnswer: -30152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228 - 269 + 169)*(3 + 5 - 5)*(6*n**4 - 5*n**4 + 13*n**4).\nAnswer: 5376*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2, y = 5*t - 0*y - 21. Let m be 10\/t*(-8)\/(-10). Solve -w = -5*f - 19, -w + 18 = -m*f + 2*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimhfomzzfhmmzmhom. What is prob of picking 2 m and 1 i?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/7 in -4, 3, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 14. Suppose 0*h - 4 = -f*h. Find the second derivative of -3*b**h + 3 - 2*b**2 - 3 + 5*b wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 44\/(-8). Solve w - n = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 + 6 + (-23 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -a8a52?\nAnswer: a8a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) 1 (d) -0.7 (e) -2632 (f) 0 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255983 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 3*l. Let i(t) = 4*t**2 + 5*t. Let g(r) = -10*d(r) - 6*i(r). Let z(x) = -x - 5. Let y(u) = -1. Let p(q) = -5*y(q) + z(q). Calculate p(g(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = 6*a + 2*v, a - 4*v = -16. Suppose p = -a*p + 13800000. Round p to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - 0.38. Which is the second biggest value? (a) 2\/19 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02380219081 and 110815.\nAnswer: 110815.02380219081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - 0\/23. Suppose 0*x + 3*x = 3. Let b be (x\/2)\/((-10)\/28). Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -869*a. Let r(v) = -12*v**2. What is b(r(o))?\nAnswer: 10428*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*t + 2*t = -21, -4*m + 5*t - 17 = 0. Let y = m + -5. Let u be (1\/(-2))\/(y\/102). Solve -3*l + 4*c + 2 = -u, 0 = -2*l + 2*c + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 4. Suppose 0 = -3*j + 4*j + 5*p + 14, 2 = -p. What is the units digit of y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l - 24 = 2*o, -2*l - 4 = -o. Let a(r) = -76*r - 14. What is the units digit of a(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-175))\/((-9)\/60)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 451*t + 42. Let g(s) = 4*s**2 - 905*s + 77. Determine 6*g(n) - 11*z(n).\nAnswer: 2*n**2 - 469*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-31819)\/4062 - (-25)\/(-6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = -26*y + 449 - 1372 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 1 + 2 = 62*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 93527, 187024, 280517, 374006, 467491, 560972, 654449?\n\"Answer: -2*q**2 + 93503*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3.4 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1834081271 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 888840312 to the power of 1\/3, to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s + 32. Let l be u(5). Let b = -2 - 0. Let h be (b\/(-6))\/((-2)\/(-4)). Is h equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 18*b + 2. Let v(g) = -9*g. What is 2*i(y) + 5*v(y)?\nAnswer: -9*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -101*l - 3. Let d(s) = -203*s - 6. Let w(p) = 7*c(p) - 3*d(p). What is the tens digit of w(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - 131 - 12 - -26.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9488095328*i + 9488095328*i + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 10. Let m(a) = -15*a - 25. Let d(f) = -10*c(f) + 4*m(f). Let h(w) = w + 11. Calculate d(h(r)).\nAnswer: 20*r + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -83. Let k = -110.00000067 + z. Round k to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from {i: 6, t: 8, j: 1}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4839\nAnswer: -483.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399 = 328*z + 4833 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, i: 16}. What is prob of sequence bibi?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o - 28. Let h be l(-6). Let c = h + -56. Calculate the highest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 15. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + f - 11, u = -3*u + 5*f + 41. Let j(i) = -2*i. Let k(r) = -r. Let x(v) = u*j(v) - 10*k(v). Let l(s) = 5*s**2. Determine l(x(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14315917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 + 3*a - 3*a + 8*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23853 + 24462. Calculate the greatest common divisor of 1392 and c.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 10. Let a be t(8). Suppose 2*n - 132 = -2*n + q, -5*q - 66 = -a*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3945 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 1 + -5 - (-7 + 1). Let c(g) = a*g + 3*g - g - 12*g. Let t(q) = 30*q**2. Give c(t(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:07 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4\/4 + 7*l**2\/2 + l - 1. Let r = 149 - 156. Is o(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 26*y + 21 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168*f**2 - 2337*f**2 + 1167*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 - 4*o - 3. Let p be (-9 + 7)\/2 - (-2)\/(-2). Let s be v(p). What is the greatest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 37*x - 542903 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 248 - -19. Let j = b - 11. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004787422 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*(3\/(21\/7))\/(-16)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155962341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*r**4 - 7*r**2 + 43*r - 2073?\nAnswer: -28*r**3 - 14*r + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 5) + 56\/(-4) - (-76)\/(-10)\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.84 + -2.64. Let r = -363 + 1088\/3. What is the biggest value in 1.9, k, r, -4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 272065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.126 - -10.626. Let v = -16.3 + z. Round v to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116787 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 6, -1\/4, 665, -1, -2\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 0) + 0 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-9\/2)*v**(-13)*v**(-16\/5)*v\/(((v*(v*v**(5\/11)*v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-1117\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**4\/24 - 5*a**2 - 21*a. Let k(g) = 73*g. Determine j(k(m)).\nAnswer: -73*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 (base 6) in base 9?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-4)\/(16\/4))*-18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 11*r + 94 = 0, -5561*o - 4*r - 260 = -5565*o for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/(-8)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0899 or 15\/23?\nAnswer: -0.0899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 912867 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1200*m - 60008. Let y be d(50). Let c(f) = f**2 - 7*f + 3. Let r be (-4)\/(-14) + 69\/(-21). Let x(h) = -3*h**2 + 21*h - 8. Give r*x(u) + y*c(u).\nAnswer: u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09726237 and -1.\nAnswer: 0.09726237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.03, -1\/38, -5, -1\/2, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, u: 1, q: 1, b: 11}. Give prob of picking 1 u and 1 q.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 - -3.78. Let r = 0.4 + l. Let q be ((-1)\/(-6))\/(26\/1040) + -8. Put q, 1, r in descending order.\nAnswer: r, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.91, 0.4, 5 in ascending order.\nAnswer: -0.91, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c**2*f**4 - 4*c**2*f**2 - 95*c**2 with respect to f.\nAnswer: 48*c**2*f**3 - 8*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*x - 179 = 2*x, 5*x + 117 = n. Suppose -2*j + n = -10. Suppose -j = -5*s + 24. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:31 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + i = 10, -m - 90*i = -91*i + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(1053) + 2) + 3 + 0 + 3)*-2)**2.\nAnswer: 4032*sqrt(13) + 68176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99*g**5 + 35*g**5 + 17*g**3 - 14*g**3 + (-2*g**2 - 3*g**2 + 3*g**2)*(2*g**3 - 4*g + 4*g)*(-4 - 2 + 4).\nAnswer: 142*g**5 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 11*j. Solve j = 2*l + v - 1, -4*l = v - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**3 + 7*h**2 + 13*h - 7. Let c(x) = -6*x**3 - 5*x**2 - 9*x + 5. What is 5*a(o) + 7*c(o)?\nAnswer: 3*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/3 - 1)\/(((-3320)\/30600)\/(-83))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 + 735*s**2 + 25875*s - 84375 = 0.\nAnswer: -75, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170135.\nAnswer: 5, 7, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004785404 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -131488.\nAnswer: -131483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-21)\/(420\/(-25))))\/((-116)\/10)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 9, 5, -22 in ascending order.\nAnswer: -22, -5, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -750 - -396. Let x = c + 419. Let s(v) = v**3 + 7*v**2 + 3*v + 5. What is the remainder when x is divided by s(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1680*u. Let s(n) = -n**2. Determine s(c(y)).\nAnswer: -2822400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/2074 and -9\/16.\nAnswer: 16592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 - 0.15. Let p = l - -2.86. Let x = 0 + 0. Which is the biggest value? (a) x (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11001, 10999, 11001, 11007, 11017, 11031, 11049?\nAnswer: 11071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let g(d) = -d**3 - 4*d**2 - 2. Let r be g(n). What is the units digit of 25\/4 + r\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1126031 - 62?\nAnswer: 1125636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 45\/39*13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821080 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = 5*l - t + 6*t, l - 94 = -4*t. Suppose l = 4*m + 14. Suppose 0 = -3*q + q + m. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1)*o*o\/o**(-5\/6)*o)\/((o*o\/(o**(-2\/3)\/o))\/o**(-4\/3)) assuming o is positive.\nAnswer: o**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n - n)*(17*n + 6*n - 10*n) + 0*n + 0*n + 7*n**2 - 2 + 5 + n**2 - 4.\nAnswer: -31*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - h**2 + 5*h**2 + h**2 + 2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -3, 4, -5, -1, 1 in descending order.\nAnswer: 4, 1, -1, -3, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:11 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + -3) + sqrt(208)*5.\nAnswer: 6 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 2*c**7\/105 - 4*c**3\/3 + 9*c**2. What is the derivative of a(r) wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 68 - 8*r**2 + r - 91 + 153 - r**3. Give s(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 487405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**2*v*y + 706*r**2*y**3 + r*v*y**2 + 9*r*v*y - 4*v*y**3 wrt r.\nAnswer: -2*v*y + 1412*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9900.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i**2 + 2*i - 1. Let p(a) = -a - 3. Let z be p(-4). Let n be f(z). Solve -d + 5*o + 0*o - n = 0, -4*d - 4*o = -28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 26. Let l be y(-15). Which is smaller: l or 88?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122437 + -122433.89938. Let l = -55.1 + 52. Let c = l + o. What is c rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.1. Let z = -0.046 - -0.346. Let l = z + -1.3. Sort g, l, 2\/9 in decreasing order.\nAnswer: 2\/9, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 + 0*u + 10*u + u**3 + 11*u - 12*u + 2*u**2 to the form a + l*u + z*u**3 + s*u**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - v**2 + v - 11. Let n be a(0). Let r = n - -13. Suppose -57 = -3*q + 3*x, r*q - 36 = 3*x - 2*x. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/29 + -64\/87. Let m = 0.21 - 0.61. Let v = -97 - -100. Which is the biggest value? (a) m (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 17*m**2 + 15*m - 15. Let p be o(-16). Let l(u) = -6*u**2 - 5*u - 3. Let j(s) = -s**2 - s - 1. Calculate p*l(f) - 4*j(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -423 - -422.6. Let v(o) = -3*o**3 - 2*o - 1. Let z be v(-1). What is the closest to z in c, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-6)\/(-756)). What is the highest common divisor of t and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733418441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u**3 + 2*u**2 + 2*u + 8. Let s(f) = f**3 - 1. Let a(d) = 20*s(d) + 2*x(d). Factor a(k).\nAnswer: -4*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14. Suppose 3*t + 0*t - 3 = v. Suppose -5*k = -11 + t. Put 1, k, -3 in ascending order.\nAnswer: -3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8438174, 8438057, 8437926, 8437775, 8437598?\nAnswer: 8437389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 936*b**2 + 8668*b - 19440.\nAnswer: -4*(b - 5)*(b - 4)*(b + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 211927.2 months?\nAnswer: 1766.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + 5 - (164 - 219)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = 2*x, -2*o - 5 = x + 4*x. Let c be x - (33\/9)\/(-1). Let r = 0.1 + -0.1. Put 2\/7, c, r in increasing order.\nAnswer: r, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hptobzp. What is prob of sequence bt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/22 + (-6)\/(-33). Let d = 6 + -11. Let p = d - -3. What is the third smallest value in p, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*y = 12, 2*y - 12 = -y. Let z(j) = j + 2. Let u be z(2). What is the third derivative of -b**5 + k*b**5 + b**2 - 2*b**u + 2*b**4 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 3*c - 3. Let a be u(4). Let w(z) = -z**3 + 2*z**2 - 3*z + 3. Let g be w(2). Let p = g + 1. Put 4, p, a in ascending order.\nAnswer: p, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*g + 9. Let r(j) = j**2. Let q(u) = 1 - 4*u**2 + u**2 - 4*u - 2*u**2. Let n(i) = -q(i) - 6*r(i). What is n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37093, 74169, 111209, 148195, 185109, 221933, 258649, 295239?\nAnswer: 331685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {u: 1, d: 1, o: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -66 + 13 - -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/2 - (-1 + 3). Let w = 572690 - 572685. Let f = 8 - 12. Put l, 0, w, f in ascending order.\nAnswer: l, f, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4463 + 26629\/6. Calculate the common denominator of (-3 + (-363)\/(-120))*4040\/(-16) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 1844 = -314. Suppose -12*g - y = -29*g. Solve 3*o + g = -7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -7123*c**3\/6 - 5379*c. Let n(s) = 2*s. What is t(n(p))?\nAnswer: -14246*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 - 9*k + 1. Give w(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 414\/1525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2466 and 142218.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 3004?\nAnswer: -3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/2749 or -243?\nAnswer: -32\/2749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-21 + 6 + (3 - -5) + -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 245318?\nAnswer: -24531c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47112915281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1, 3\/4, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.165 and -2917243800117.\nAnswer: -2917243800117.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 - 2 = 4*s, -l + 22 = -3*s. Suppose 0 = l*n - 13*n + 354. Which is smaller: 58 or n?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541274237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368*-1.93.\nAnswer: 710.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 - 11*i**2 - 5*i**2 - 9*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 23*f**3 + 505*f**2 + 83*f + 2238. Determine m(-22).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/10*(-8)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -17 (b) 10 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-176)*10)\/(11\/((-88)\/(-6)))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2297 is divided by 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:21 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*i + 22*t - 18*t + 2 + 2, -22*i - 5*t - 66 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201.44268ns to hours.\nAnswer: 0.0000000000559563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1817685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2442054 + 3?\nAnswer: -2442051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 9:34 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 212 in 0, -1, -2848, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14 (b) -2\/13 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -31*f + 23*f. Let r be 0 + (4\/(-9))\/(f\/(-18)). Solve 20*d = 18*d - r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57, -2\/13, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*s**2 - 70*s**2 - 18 + 18 in the form p*s + x + q*s**2 and give q.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 17 - 23 - 10*p - p**3 + 19*p - 9*p**2. Let s be h(-10). Suppose -2*g + s*g = -4*f + 68, g = -5*f + 85. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*g*j**3 + a**3*g*j*v + 97*a**3*v - 14*a**2*g*j**3 - 2*a**2*g*j**2*v - 2*a**2*g*v + 8*a**2*g wrt a?\nAnswer: -18*g*j**3 + 6*g*j*v + 582*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 636431220 and 0.50605.\nAnswer: 636431220.50605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 5. Let p(d) = -d**3 - 4*d**2 - 4*d - 5. Let u(s) = -2*s**2 + 2*s + 2. Let c be u(2). Let z be p(c). Give q(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*c**3 + 28*c**3 - 22*c**2 - 140*c**3 + 2*c**2 wrt c.\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -141, -133, -109, -63, 11, 119?\n\"Answer: w**3 + 2*w**2 - 5*w - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 23027*q**2\/4 - 144069*q - 138312.\nAnswer: (q - 23052)*(q + 1)*(q + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**4 - f**3\/3 + f**2\/2 - f + 487. What is p(2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from ciiiuuciuoc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -835 - 1805. List the prime factors of z.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (30 - (-5 + (-9 - -16)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 40 - 14 = -35*y. Let h(n) = n + 21. What is h(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.06 + -354.06. Let l = p - -364. Which is the second smallest value? (a) l (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1 + 9 = 0. Suppose 1 = 4*u + f, -f + 2*f - 1 = g*u. Let o(h) = -h**2 - 4*h. Let z be o(-3). Solve -5*s + 3*i - 2*i + 9 = u, -5*s = z*i + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b + 6512 = 8216 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 11) to base 13.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 4*w**3 + w**3 + (-6*w**3 - 6*w**3 - w**3)*(5 + 0 + 2) - 2 + 2 + w**3 + (0 + 5 - 3)*(-2*w + w**3 + 2*w).\nAnswer: -89*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3025702.\nAnswer: 2, 1223, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*b + 3*g, 2*b - 3*g + 15 = 2. Let n = -2.875 + 2.475. Sort b, 0, 10, n.\nAnswer: b, n, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -10*v**2 - 6*v - 30. Let x(n) = -40*n**2 - 25*n - 120. Let o(c) = 25*m(c) - 6*x(c). Differentiate o(i) with respect to i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2 + 2 + 9*w. Suppose 767 - 1835 = 2*f. Let q = -533 - f. What is r(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s - 53*s - 428 = -2*t, -5*s = -t + 244. Calculate the remainder when t is divided by 76.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:03 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2221269 decades in millennia?\nAnswer: 0.002221269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -902257 divided by -902257.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -29.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 8 = -17*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 51*l - 144. Solve -l = -7*h + 9*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.3+-1745115508\nAnswer: -1745115493.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 22. Give q(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 50. Sort n, 2\/27, 2\/13, 5 in descending order.\nAnswer: 5, 2\/13, 2\/27, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/172 and 167\/464016.\nAnswer: 19952688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 54629808*k - 54629816*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -54. Suppose 0 = 6*b - i*b - 35. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121232022 (base 4) in base 14?\nAnswer: 97cdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 1)*(7*w + 101*w + 112*w).\nAnswer: -1540*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Suppose 4*v - 8 - 4 = 0. Let u(n) = 15*n - 30*n + 23*n - 5 - 2*n**2. Let h(k) = v*u(k) - 24*i(k). What is the first derivative of h(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -7. Let r = 8 + n. Factor 9*t**3 + 19*t + r*t**4 + 3*t**2 - 22*t - 6*t - 2 - 4.\nAnswer: 3*(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*j + 3*p, -7*j - p = -3*j - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 7*u - 6. Let i be j(-8). Let b(o) = -16*o - 72. Let w be b(-29). Let k(n) = 9*n + w + 0*n**i - 394 - n**2. Determine k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19317, 38792, 58235, 77646, 97025, 116372, 135687?\n\"Answer: -16*y**2 + 19523*y - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (4 - 1) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/405 and 26\/3.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-2*1 + -1.\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*w + 3*w - 24, 4*w - 29 = 5*q. Sort -10, q, 5 in increasing order.\nAnswer: -10, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(1\/2)\/((d\/d**3)\/(d*d*d*d\/d**(-1)*d)))**(-13\/3) assuming d is positive.\nAnswer: d**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 22996758*x\/7 + 22996772.\nAnswer: -2*(x - 7)*(x + 11498386)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/270 and 193\/3181290.\nAnswer: 28631610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let x(n) = -n + 1246552. Calculate x(l(s)).\nAnswer: s + 1246552","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 16. Let w be (-6)\/b - 6\/2. Let j = w + 6. Solve 0 = 2*s - j*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + 0 - (17 + (-2 + -13 - (-63 + 60))).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 116*t**3\/3 - 137*t**2\/2 - 2*t - 117. Find the first derivative of x(v) wrt v.\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(3*w + 2*w - 4*w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*s - 3*p, s - 1173*p = -1178*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(56\/(-20) - -3). Suppose 5*a + 4*p - 300 = 0, 3*p - 295 = -r*a - 2*p. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27971, 55942, 83911, 111878, 139843, 167806, 195767?\n\"Answer: -j**2 + 27974*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*b + 6 = -1, 4*r + 3*b = 39. Suppose -2*t + 6 = -f + 2*f, 4*t = 2*f - 36. Calculate the smallest common multiple of r and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/41, -1, -676, 4 in increasing order.\nAnswer: -676, -1, -1\/41, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 919498, 919496, 919494, 919492, 919490, 919488?\n\"Answer: -2*k + 919500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.5754565 rounded to 2 decimal places?\nAnswer: 374.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**3 + 264*b**3 + 265386*b - 265386*b.\nAnswer: 294*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1041 - 1041. Solve z = -6*b + 13*b - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 - 22*s**4 + 28*s**3 + 88*s**2 - 144*s.\nAnswer: 2*s*(s - 9)*(s - 2)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z + 6. Let d(j) = 14*j + 3*j + 2 + 3 + 1. Let a(o) = -11*o - 4. Let u(k) = 8*a(k) + 5*d(k). Calculate -5*m(t) - 14*u(t).\nAnswer: -8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 9*k + 2*k**3 - 17*k**2.\nAnswer: 2*k**3 - 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/331687 and -62\/51.\nAnswer: 995061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18566.54 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 8*j**3 + 0 - 4*j**2 + j**4 - 9*j + 1\/20*j**5. Let h(n) be the first derivative of a(n). What is y in h(y) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 - 2*d**3 + 2*d**3 + (-d - 156*d - 17*d)*(-d**2 + 7*d**2 - 2*d**2) as o + b*d**3 + y*d**2 + q*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 181, 182, 183, 184, 185, 186?\n\"Answer: c + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*a**2 + 3*a**3 + 88 - 48 - 15*a + 115*a**2 - 42 - 63*a to the form t*a**3 + f*a + p + q*a**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3019\/4 at most as big as -756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 2:11 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d1b13c7 + -5?\nAnswer: -1d1b13cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*k - 22, 2*t - 6*k = -2*k + 16. Suppose -t*a = 8 - 52. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.0742, 35, -3\/4, -0.3?\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, 1 t, and 1 g when four letters picked without replacement from otkhkkg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 1815*c**2 - 5480*c - 3660.\nAnswer: 5*(c - 366)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.10633 times -0.1\nAnswer: 0.010633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -27 - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -173\/44 - -35\/11. Let i(h) = h - 1. Let d be i(1). Suppose 0 = -v - d*v - 3. Which is the closest to p? (a) 2 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 41*h**2. Let w(l) = 2229115 - 66*l - 2229115. Give u(w(t)).\nAnswer: 178596*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(200)*1*1)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 151 + 0*a**3 + 2*a**3.\nAnswer: 2*a**3 - 274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 279*y - 275*y. Let d(j) = j + 0*j + 3*j + 21*j**2. What are the prime factors of d(y)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12622376 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51831 and 27909?\nAnswer: 362817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -207.521.\nAnswer: -41.5042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3290 divided by -7789.\nAnswer: -3290\/7789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -299*p**2 + p - 16. Let z be s(3). Round z to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5433*t - 21. What is the thousands digit of v(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*z - 6*z**2 - 63*z + 189*z + 5*z**2 - 63*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554\/(-8)*(-15 - -11).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*p - 2*h, 2*h - 9968 = 5*p - 9952 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/10)\/((-1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 5*t**4\/12 + 7*t**3\/3 - 4*t**2 - 41*t - 7. Let h(l) = 2*l**2 + 5*l - 3. What is -8*h(q) + 3*p(q)?\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 15*w**2 - 12*w + 52. Let n be g(-14). Let q = n + -223. Calculate the remainder when q is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2384*n**2 + 6512. Let y(i) = 4*i**2 + 11. Let h(q) = 2*a(q) - 1184*y(q). Let x(p) = -2*p - 2*p - 2*p. What is h(x(s))?\nAnswer: 1152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -6, -511 in descending order.\nAnswer: 19, -6, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 3. Let j = -10 + 1. Calculate the remainder when c(j) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 10*u + 22. What is the units digit of l(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-1)\/2*2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16*h**2 - 14*h + 3. Let c(j) be the first derivative of 5*j**3\/3 - 5*j**2\/2 + j - 1. Let w(y) = 17*c(y) - 6*x(y). Calculate w(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120644 (base 8) in base 10?\nAnswer: -41380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:25 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 20. Suppose 3*h = -i*h. Solve -m + 5*m - 4 = h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (394\/6)\/((-147)\/(-3087)) a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02410833434 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8 - 5*q + 8. Let c be y(1). Let w = 11 + c. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -240\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = -75 + 25. What is the closest to -4 in -1\/3, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454017 divided by -67.\nAnswer: 454017\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*i - 105 - 240 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 924?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 52. Let f(q) = -3*q - 65. Let u(w) = -4*f(w) + 5*i(w). Let n(j) = 4*j - 5*j + 3*j. Determine n(u(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/20*2)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) 2 (c) -4 (d) -2\/5 (e) 9 (f) 1978\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*x**2 - 25*x**2 + 2 + 12*x**2 + 2*x**2 - x**2 + 0*x**2 + 2*x**2 + 3 - 3 + (2*x**2 + 2*x**2 - 2*x**2)*(-1 - 2 + 4) + 3*x - 2*x**2 - 3*x + x**2 - 1 + 1.\nAnswer: 7*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/1045*-10 - 80\/(-38). Factor 0 - 2*y**3 + y**4 + 0*y - 1\/6*y**5 + 4\/3*y**x.\nAnswer: -y**2*(y - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -830713?\nAnswer: 10\/830713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 908989.9 millilitres?\nAnswer: 908.9899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277344, 277340, 277328, 277302, 277256, 277184, 277080?\nAnswer: 276938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/5)\/((-3)\/2). Suppose -5*s - h - 121 = 92, -5*h = 15. Let k be 8\/s*14\/12. Which is the closest to 0.1? (a) i (b) k (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 3*u**3 + 0*u**3 - 4*u + u**3 + 4*u + (0*u + 0*u + 2*u)*(3*u + u**2 - 3*u) - 264*u - 53*u**3 + 264*u.\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/51*39\/(-52)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -16?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 388 and 232.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 7 + 5 - 27*n**3 + 26*n**3 + 4*n. What are the prime factors of m(-5)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + 5*i**3 + 4*i**2 - i. Let r be j(-1). Let y(g) = -g**2 - 5*g + 2. Let u(h) = -h**2 - 5*h + 1. Let s(v) = 5*u(v) - 4*y(v). Give s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + h = -3*l + 95, -3*h = -2*l + 67. Suppose p - 1 = 7. Calculate the greatest common factor of l and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 9. Let y be v(9). Let h be 0 + y - (-3 - 0). Suppose -28 + h = -5*b. What is the smallest common multiple of b and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -201.\nAnswer: -1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -332.\nAnswer: 5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 23*d**2 + 30*d + 9. Let p(u) = 36*u**2 + 30*u + 12. Let w(v) = -3*p(v) + 4*t(v). Let s(l) = -4*l. Give w(s(m)).\nAnswer: -256*m**2 - 120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 2)*(q + q**2 - q) + 1 - 1 + 3*q**2)*(-4 + 4 - 5*q**2) + 2*q**4 + 38*q**4 - 2*q**4.\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.955 + -21.905. Which is greater: z or -666?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 44657640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*l, -5*z + 0*z = 0. Let x(c) = -c + 0 + l. Let d(m) = 3*m. Give x(d(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*x = -4539*x + 315*x + 160640 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3928404 and 890.\nAnswer: 1748139780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3318257 is divided by 323.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 49*f**2 - 38*f - 118. Calculate the remainder when 544 is divided by l(-24).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 428*m - 2*m**3 + 2 - 1 + 251*m**2 - 1 + 195*m wrt m?\nAnswer: -12*m + 502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -13, 2, 41, 110, 215?\n\"Answer: p**3 + 3*p**2 - 19*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36439 (base 15) in base 4?\nAnswer: -222100113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2. Let g(h) be the first derivative of 0*h - 6 + 0*h**2 - 5\/3*h**3. What is g(t(d))?\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Suppose -a*i - 45 = -370. Solve -15 = 2*y + r, -5*y - i = 4*r - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by 39\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 199618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -1.1. Let d be ((-1)\/42)\/((-115)\/1380). Let k = -44 - -133\/3. What is the closest to d in g, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 538\/12 - (-93)\/558. What is the greatest common divisor of k and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12953 at least as big as 12954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1538.8264 to the nearest ten.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1 in increasing order.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15479 and 76429.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16322 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, 5, -5\/478516?\nAnswer: -5\/478516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4125 is divided by 159.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*k + 2670 = -426*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 5 (c) -0.09 (d) -5 (e) -36\/479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkfffff. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 6:58 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 90 + (-180)\/315*(-49)\/28\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 222193, 222191, 222189?\n\"Answer: -2*o + 222195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 24801 = -353. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -701*r**4\/2 + 98*r**3\/3 - 13*r - 164. Find the third derivative of q(m) wrt m.\nAnswer: -8412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006823?\nAnswer: 281, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290440 rounded to the nearest ten thousand?\nAnswer: 2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-6))\/(((-12)\/(-15))\/((-330)\/(-275)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(-430)\/3956.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 5*l**3\/6 + 8*l**2 - 9*l. Let m be w(-4). Sort -5, -2, m in descending order.\nAnswer: -2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.4 + -11. What is the nearest to 0 in -2\/11, w, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 - 71*i - 71*i - 4 + 146*i. Let x(k) = 10*k**2 - 7*k + 7. Calculate 7*n(s) + 4*x(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 + 4978 + 2*p - 4978.\nAnswer: 9*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {f: 15, p: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -25874?\nAnswer: 25866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 37. Let c = -24 - w. Let n(m) = 3*m**2 - m - 3 + m**c + 0*m**3 - m**2. Calculate n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -15. Let n = 3416.8 - 3420.8. Which is the third smallest value? (a) -2 (b) x (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63b (base 16) to base 5\nAnswer: 22340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767606 (base 8) in base 6?\nAnswer: -53342130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46245.28983 + 46245. Let c = 0.024 - 0.314. Let n = r - c. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + c + 15. Let x be q(0). Suppose -12*l + x = -9*l. Let m be ((-8)\/(-2))\/(-2) + 13. Solve 0*y - 3*y + 4*z = m, -4*y + l*z - 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80, -83, -250, -427, -620, -835, -1078, -1355?\n\"Answer: -r**3 + 4*r**2 - 168*r + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91576513?\nAnswer: 7, 1031, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76112.7 minutes to microseconds.\nAnswer: 4566762000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.984 or -17?\nAnswer: 0.984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -0.05 (b) 1\/366 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440302 (base 5) to base 4.\nAnswer: -3223211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 10*x = -2*f + 257, 0 = 4*f - 4*x - 532. Calculate the greatest common divisor of 850 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000966 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(sqrt(1377)*1 - sqrt(1377))*4 + 5 + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(175) - (sqrt(175) - (1*sqrt(175) + -2))).\nAnswer: 3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267451 is divided by 587?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.047 or -10?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 52. Find k such that 2*k**2 - 4\/5*k + y = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*a + 4119 + 1481 = 0 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12758540 by 2410.\nAnswer: -5294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f - 7. Give c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178*q**5 + 14*q**4 + 11*q**3 - 210*q**2 - 1460.\nAnswer: -10680*q**2 + 336*q + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/18 - 34\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4429*p**2 - 15*p - 66. Let c(d) = -2215*d**2 - 8*d - 33. Let v(q) = 5*c(q) - 3*k(q). What is the second derivative of v(b) wrt b?\nAnswer: 4424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 3*t + 27 = -5*k, 3*k - 4*t = 26. Let c(b) = b**3 - 11*b**2 + 9*b + 16. Let z be c(k). Let y(g) = g**3 - 5*g**2 - 9*g + 8. Give y(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1766)\/(-14) - (-1)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*c - 147*c + 234*c + 276*c.\nAnswer: 441*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*g - 16*g - 36*g + 32*g to l*g + a and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 + 2 + 3*z**2 + z**2 - 10*z**3 + 3*z**2 + 5*z**2.\nAnswer: -10*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*(187\/(-44))\/(-17)*(-40)\/(-155)?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68696 divided by -8.\nAnswer: -8587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0474, 9, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, 7563, 29183, 71273, 140655, 244151, 388583?\nAnswer: 580773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.267766 micrograms in tonnes?\nAnswer: 0.000000000001267766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584971.\nAnswer: 584971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:39 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391921 + 227126 = 37*d. Is d a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2178 divided by -1089.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 505920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10994535 - -1702330. Let g = u - -9292235.199032. Let j = g + -30.2. What is j rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 19, z: 1}. What is prob of picking 1 z and 2 g?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510 divided by -30.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*f - 25*f - 12194 = 0. Calculate the lowest common multiple of f and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -210009 - -210059. Let s(q) = 57*q + 8. Let x be s(6). Calculate the greatest common divisor of p and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/48 + (1 - (5 + -5)). Suppose -1\/8*p + 0 + 0*p**2 + b*p**3 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 + 6 = f, 4*c - 5*f = 6. Let s(w) = w + w**2 + w**3 - w**2. Let n(r) = 6*r**3 - r**2 + 4*r. What is c*s(x) - n(x)?\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526, -3737, -9564, -18007?\nAnswer: -29066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 32, 25, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-198)\/(-11))\/(-3))\/((-2)\/997). Suppose -4*r + t = -r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35321 less than or equal to 35321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*sqrt(99) - 5*(sqrt(99)*-1 + sqrt(99)))\/(sqrt(45)\/(sqrt(5) - sqrt(5)*-4) + sqrt(27)\/(sqrt(27) + sqrt(3)) + sqrt(9)).\nAnswer: 300*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 1, c: 1, r: 1, s: 1}. What is prob of picking 1 r, 1 e, 1 c, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (0 + (8 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3580068225?\nAnswer: 3, 5, 421, 113383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3805554, -7611109, -11416664, -15222219, -19027774?\nAnswer: -22833329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d + 423 + 37 = 0 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -598 (b) -611 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(396)*-2 - sqrt(396))*-2.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -90240693*a**4 + 1106391519*a**3\/2 - 284078907*a**2\/4 + 24544701*a\/8 - 177147\/4 = 0.\nAnswer: 27\/622, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55984340 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.8348 decades in millennia?\nAnswer: 5.058348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1404411 and -1404613 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88017088597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 + 4*m + 6. Let v be f(-3). Suppose -2*c - 778 = -v*k, -c - 782 = -6*k + 3*k. Let p = k + 20. Round p to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56640563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*t + 28, 3*t = t - 4*h + 24. Suppose 0*k - t*k + 132 = 0. Let u = -8 - -17. Calculate the remainder when k is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 172*u - 3185. Determine i(17).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356428 is divided by 50832.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g**2 - 6. Let n = 418 + -378. Let f(q) = -40 + n - q + 2*q. Determine u(f(w)).\nAnswer: -23*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 5*z. Let m(c) = -1 + 3 - 4*c - 2. What is -5*m(w) - 4*o(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11203 (base 4) to base 12.\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2272656 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*t**2 - 216*t**2 + 433*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 5*h**4\/24 + 24*h**2 - 41*h. Let t(f) be the first derivative of w(f). Let p(j) = -14*j. Calculate t(p(v)).\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377752055 is divided by 2022.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:33 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0*x**4 + 0 + 79\/30*x**6 + 0*x**5 - 28*x - 47\/3*x**3 + 0*x**2. Find the second derivative of n(p) wrt p.\nAnswer: 948*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (105 - (-51 + 172)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24)*-1*-8)\/(7*(-58)\/609).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 129920080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2166.7 to the nearest 10.\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 + 1193725*i**2 - 5968730*i + 4775000 = 0 for i.\nAnswer: -238750, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2668563*m**2 - 2668562*m**2 + 84*m + 87*m.\nAnswer: m**2 + 171*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o + 7. Let z = -15 + 12. Let a be m(z). Let y = a + 45. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18543.\nAnswer: 3, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 4:30 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(sqrt(243) + -1)*-5 - (3 + -1*sqrt(243) - ((-1*sqrt(243))**2 + -3))).\nAnswer: 198*sqrt(3) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44074112 divided by 26744\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 9*h + 9. Let p(q) = -11*q**2 + 13*q + 4. Let j(c) = -5*c**2 + 6*c + 2. Let v(l) = 9*j(l) - 4*p(l). Give 2*r(n) - 9*v(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -3855bd8?\nAnswer: 3855bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127419 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 8:46 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 3691991.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -494 - a?\nAnswer: -4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 733070 + -422070. What is q rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(260)*-1)\/sqrt(10)*1)\/(((sqrt(88)*2)\/sqrt(11))\/(-5*(sqrt(4) - sqrt(4)*-2 - sqrt(4) - sqrt(4)))).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/11071 + 22070\/99639. Find m such that 0 + p*m**3 + 0*m - 2\/3*m**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n - 43. Let g be z(5). Factor 502*a + 17*a**2 + 5*a**3 - 462*a + 8*a**g + 20.\nAnswer: 5*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -196*d. Let u(t) = 5*t**2. Give u(x(o)).\nAnswer: 192080*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 98 = -f + 27, -f = -6*w - 143. Is f greater than 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/278250 and -44\/1225?\nAnswer: 1947750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -2)**2 - sqrt(11)) + (-5 + sqrt(11))**2*2.\nAnswer: -33*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229 and 212741.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*r*t*x - 9*n*t*x**2 - 267273*n*t - 424964*r*t*x - 7*r*x**2 - t*x wrt r?\nAnswer: -n*t*x - 424964*t*x - 7*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -525*s**4\/4 - 72*s + 53. What is the derivative of p(b) wrt b?\nAnswer: -1575*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4 - -11)) + 1 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-17 - (-8 - (-23 - -16))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*s - 31*f**2*t**2 + 240*f**2 - f*s*t**2 + f*s + 243*t**2 with respect to t.\nAnswer: -62*f**2*t - 2*f*s*t + 486*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 25. Suppose 4*q + 6*l = 2*l, 0 = n*q - 2*l - 18. Let o be (-60)\/(-4) - 2*1. Solve q*w + o = -2*g, 3*g + 4*w = -g - 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/60 + r**4\/3 + 3*r**3\/2 + 2*r**2 - 72. Calculate w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**7\/6 - 87*h**5\/20 - h**4\/12 - 23*h**3\/6 + 37*h**2\/2 - 14135*h. What is the second derivative of s(y) wrt y?\nAnswer: 140*y**3 - 522*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 + 134053291.\nAnswer: 134053291.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10222202 (base 3) to base 7.\nAnswer: -11324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Let q = k - 2.9. What is the nearest to 0 in 1\/4, q, -3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*s + 43715 = 501*s - 7310 for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from eppdepj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {x: 9, e: 2, a: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1539\/(-1944) + (-9)\/(-8))*171*-1.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 13995 = -16725. Let b = 1071 - x. Calculate the remainder when b is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7429 - 87247.829771\nAnswer: -79818.829771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + x = -11, 0*x - 20 = 5*p - 5*x. Suppose 4*g = 4*v + 32, 48*g - 5*v = 51*g + 8. Sort 5, g, p.\nAnswer: p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 11:39 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*q - 23176 + 21276 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/((-3)\/(-4)). Let n be c\/(-2) - (-15)\/5. Solve k**2 - 2 - 1 + 2*k**n = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l - 1. Let k(t) = 10*t - 1. Let q(s) = 14*s - 1. Let f(j) = 3*k(j) - 2*q(j). Determine v(f(n)).\nAnswer: -32*n + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/5)*q**(-2\/5))\/(q*q**(-4\/3)\/q*q*q**2) assuming q is positive.\nAnswer: q**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*c - 8, -3*p - 4*c + 3 = -9. What is the first derivative of 17*k**3 - p*k**4 - 5*k**3 - 9*k**3 - 38 wrt k?\nAnswer: -16*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -38*n + 16 - 9*n + n**2 + 10*n + 7*n. Is 2 a factor of d(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 3399656*h + 10198966\/3.\nAnswer: 2*(h + 1)*(h + 5099483)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4 + 4)*(3*p - 5*p + p)*(833*p + 3*p**2 - 861*p + p**2).\nAnswer: 4*p**4 - 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641841845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5445573 or 92574756\/17?\nAnswer: 92574756\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 394*b**2 + 50*b + 2. Let j be a(1). Is j not equal to 3128\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1. Let y(r) = r**3 + 4*r**2 - r + 1. Let s(h) = -5*v(h) + y(h). Let m be ((-10)\/(-25))\/((-1)\/10). Let n be s(m). Solve -f - 4*f - 15 = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -1. Let c = 0.4 + p. Let f = 0.3 + c. Sort -0.4, f, 1 in ascending order.\nAnswer: -0.4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t\/t**(-16))\/t)\/t))\/t*t*t\/t**(9\/5))\/(t**(23\/4)*(t*t**(-10)*t)\/t))**(20\/7) assuming t is positive.\nAnswer: t**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 345? (a) -0.3 (b) 5 (c) 12 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1162 - 1158. Solve i*c + 5*m = -22, 1 + 4 = -5*c + 5*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 45*d**2 - 26*d - 127. Suppose -2*m = -s + 24 - 71, m + 224 = -5*s. Is o(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = -z. Suppose 5*p - 174 + 64 = 5*n, z = 2*n. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 36935566\nAnswer: -36935565.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403.405 grams in milligrams?\nAnswer: 1403405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*v - 2*v - 11, -3*v - 3 = 2*q. Let j be (-2500)\/(v + (-19)\/20). Round j to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgz when three letters picked without replacement from ggzqzgggzqzgggz?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 7 = 5*n - 18*h, 4*n + 20 = -4*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + 0.37. What is the closest to -2\/5 in t, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**3 - 3*c - 4. Let i(o) = -7*o**3 - 4*o - 3. Determine -3*i(v) + 4*l(v).\nAnswer: -3*v**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*s = 33012, -d + 6*d - 33020 = 5*s. Round d to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5041 + -35?\nAnswer: -5106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1070807, 1070783, 1070743, 1070687, 1070615, 1070527?\nAnswer: 1070423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.5, 0.2, 75?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 + (11 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5 - (-1768360)\/(-25). Let q = l + 252735. What is q rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.11, 2, 4, 0.28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546398 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w - w**3 + 0*w**3 - 27*w**4 + 1 + 3*w - 4*w**3 + 28*w**4 as c*w**3 + d*w + i + v*w**4 + j*w**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1432.5593 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 - 4*x - 1. Suppose -11 = 5*y - 26. Let l be u(y). Suppose 0 = 4*s - 11 - l. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-247)*260\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, i: 1, e: 2}. What is prob of picking 1 i and 1 x?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 17. Let d be f + -1 + (-1)\/(-1). Suppose -d*k - 2*z + 1949 = -2*k, z = -k + 1947. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 14*w - 4*w. Solve 5*l - 30 = -5*o, 3*l - 3*o = -w*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 4. Let t = -9.000094 - m. Round t to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -33\/2 (b) -12 (c) 4\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*y**2 + 586*y**2 + 590*y**2.\nAnswer: 1036*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195093 and 216770?\nAnswer: 1950930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 5. Let a(n) = 2*n. Let f be a(6). Suppose -4*c = -28 + f. What is the remainder when 24 is divided by h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, -7, -37, -105, -223, -403, -657?\n\"Answer: -2*h**3 - h**2 + 13*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 1481556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/7620 and -33\/17622647.\nAnswer: 1057358820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6656342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60505013 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -430.7832 + 431. Round l to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221200000122 (base 3) in base 16?\nAnswer: -17ed60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.083 - 3.083. Does 11 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -864*s**6 + 394*s**2.\nAnswer: -103680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:02 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74683, -149245, -223799, -298345, -372883?\nAnswer: -447413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - 6. Let u = 24 + a. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3300730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - 3a0?\nAnswer: -3c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (116\/8)\/(5\/70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*b = -21, 4*o - 4*b = b - 29. Let c = -1 - o. Suppose -4*t - c*x = -12, 5*t - 20 = -4*x - x. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/6 - v**2\/2 + 2*v. Let r be j(-5). Suppose -r*p + 53 = -75. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12200878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 21*z - 36 - 32*z - 51 to the form w + c*z and give w.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2802 and 0.2306.\nAnswer: -2801.7694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 8) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*t + 31*t + 5*q + 14, 0 = -5*t - 3*q - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -64. Solve -j + 0*j - p = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 3*y, -2*b + 4*b - 2 = y. Suppose 0 = -6*d + 2*d. Suppose b*p + p + 6 = d, -14 = -4*f - 5*p. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(-4*(-91)\/(-104))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(175) + 0)*3 + sqrt(175) + 1 + sqrt(175) + -5)*-2 + -1 + -3)**2.\nAnswer: -600*sqrt(7) + 17536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4860 rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 10*z - 2*z)*((0*z**3 + 3*z**3 - z**3)*(-1 + 4 - 2) + 3*z**3 + 0*z**3 - z**3) in the form j + w*z + s*z**3 + h*z**2 + k*z**4 and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 9. Let t(j) = -j - 19. Let m(c) = -3*t(c) + 7*w(c). Let d be ((-440)\/33 + 13)\/((-7)\/(-105)). What is m(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 409, 406, 401, 394, 385?\n\"Answer: -v**2 + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1078 + 1585. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44 and -437.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*h = 3925*h - 672 + 121362 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-6)\/(-48)*-8). Suppose -r = 3*a - 8 - 10, -a = r - 8. Suppose 16\/3*f**r + 0*f**2 - 16\/3*f**4 + 4\/3*f**5 + 0 + j*f = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90421.8 plus 5?\nAnswer: 90426.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -83, -98, -127, -176, -251, -358?\n\"Answer: -w**3 - w**2 - 5*w - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2*(m**6\/m*m)\/m*m*(m*m**(-2))\/m**(-6))**38)**(-31\/2) assuming m is positive.\nAnswer: m**(-7657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/((-225)\/(-525))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.43437 times 0.141?\nAnswer: -1.33024617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 887943575 to the power of 1\/2, to the nearest integer?\nAnswer: 29798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/25*(-25)\/310)\/((-122)\/(-122)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-4) - (-1)\/(112\/(-5)) and (-4)\/(112\/319) + (-6)\/(-42).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -404*z + 12125. Let o(u) = 5*u. Give o(i(w)).\nAnswer: -2020*w + 60625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -26. Let p(z) = 3*z**2 - 879*z - 4694. Let i be p(299). What is the greatest common divisor of i and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 37*o**2 + 17*o + 4. What is z(18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -198982?\nAnswer: 1\/99491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 516991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50984306 divided by 22.\nAnswer: 25492153\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3377558 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -16) + (94 - 118).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6)**(-2\/3)*q\/(q\/(q\/((q**(1\/25)*q)\/q)))*q*(q\/(q*q**(-4)))\/q*q assuming q is positive.\nAnswer: q**(97\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 37*v**2 - 65*v - 510. Calculate r(-37).\nAnswer: 1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4708140 + -2512540. Round x to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427983 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82921 is divided by 152?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -36\/24481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/50*112\/(-98)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5\/7)*o\/((o*o\/(o*o*o**15))\/o))**(-1\/6) assuming o is positive.\nAnswer: o**(-131\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/4 of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15 (b) -0.16 (c) -21\/131 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 265734 or 265729?\nAnswer: 265729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kirbkbekibeieeobbkee. What is prob of sequence oi?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 35359107.\nAnswer: -35359106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825754 is divided by 601.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 7, s: 2, h: 1}. Give prob of picking 1 s, 1 w, and 1 v.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mompmmjmy. Give prob of picking 2 m.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*c + 21 = 0, -2*c = -2*w + 49 - 45. Put -1, w, -140 in descending order.\nAnswer: w, -1, -140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 + -137. Solve 5*w = -5 - 10, -2*j = -w - c for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 4*m - 2. Let z be w(8). Let j = 19 - z. Let y be j\/(1 + (-27)\/24). What is the highest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 39 = -2*h, 4*h + 0*h = 5*n + 73. Is h\/(-42) + 226\/7 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 25 = -4*g, 11 = -4*k - 3*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441440029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143997 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.27 + -0.27. Let k = u + -17.5. Suppose -4*m + 1 = -3*s - 15, 0 = 4*m - 4*s - 20. Which is the closest to 1? (a) k (b) 1\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 1 + 4*g - 2 - 6*g. Suppose 2*h - 5*j = 7, -j + 3*j + 2 = 0. Give b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195 - 37781102360.\nAnswer: -37781102165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -1 (b) 2\/11 (c) -6\/5 (d) 0.086\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 5*k + 4. Let b be 6 - 6*2\/4. Let r be d(b). Let q be ((-1 - r) + -2)*-3. Sort 1\/3, q, 0.\nAnswer: 0, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5042 - -17?\nAnswer: 5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -d + 10. Suppose -5*q + 853 = -3*n, -4*q - d*n = -9*q + 857. Suppose 31 = 12*j - q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Suppose 441 - 86 = 5*z + 2*d, -5*z - 4*d + 365 = s. Let x = z + -21. Calculate the highest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 66580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/15 + h**4\/12 - 2*h**2. What is the second derivative of v(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 9. Let l be z(12). Find t, given that -t**2 - 11*t**2 - 2*t + 14*t + l*t**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -377, -898, -1501, -2228, -3121?\n\"Answer: -7*u**3 + u**2 - 475*u + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 76*z - 17. Suppose -2*g + 6 = -4*p - 20, 0 = 4*g - 4*p - 60. Let w(x) = 25*x - 6. Let h(v) = g*w(v) - 6*b(v). Let k(n) = n. Give k(h(t)).\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.968591 litres in millilitres?\nAnswer: 4968.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2037\/1940 + (-126)\/45)*5\/7.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18472 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1511 = 6*a + 263. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1804*d - 4 = -1808*d + 4*m, 0 = -4*m - 4. Suppose -4*b = w + 6, w - 5*b = 6*w. Let f be w\/(-7) + 30\/56. Sort d, f, -2\/13 in descending order.\nAnswer: f, d, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + i + 99061, f - 20210 = -4*i - 381. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -5. Let k = n - -4.5. Let o = -1.08 + 0.08. What is the nearest to o in -2\/3, k, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 107299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 4*m**2 - 3*m**2 + (6 - 2 - 2)*(m**2 - 1 + 1) + 2 - 3*m**2 - 2 - 1 - 3*m**2 + 1 + (-4 + 2*m + 4)*(-2*m + 3*m - 3*m) - 2*m**2 + 2*m - 2*m.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5 = 0, 176*m - 174*m = 3*o - 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -23100 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/68890 and -93\/4.\nAnswer: 137780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1101122 (base 3) to base 12\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -23896752?\nAnswer: 143380512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t - 33. Let c be b(-14). Suppose c*l + 364 = 50*l. Solve -j + 2 - 3 = 2*u, u + l = 5*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 - 162*m**2 + 80*m - 18. Determine o(40).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161638877702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21387511703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2042 + -1867. Solve 169*m - w*m + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452\/429 + 16\/33. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-276)\/27 - (-4)\/18. Let v(y) = -7*y - 15. Let g be v(r). Suppose 9*k - 4*k = g. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i = -w + 140, 2*w - 274 = -4*i. What are the prime factors of w?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*(-56992)\/(-548548).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-15)\/(-9)*24\/(-120)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 + 3*d**2 + d + 0*d. Let a = -79 + 78. Let u(c) = -1. Let j(x) = x**2 - x - 5. Let t(o) = -j(o) + 6*u(o). Determine a*t(k) + v(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65473105?\nAnswer: 5, 41, 277, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)*6*26\/6. Is (-13)\/z - (-3486)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 + 4*r**3 + 0*r**3 + (0*r**2 + 5*r**2 - 3*r**2)*(0*r - 2*r + r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1341878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1070*j - 1075*j - 92 = -3*t, 0 = -4*j - t - 77 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*r*w**2 + 60*r*w wrt w.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(-228)\/(-2016) + (-1)\/8. Which is the closest to -1? (a) -0.1 (b) j (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. What is the third smallest value in 0, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 96, -5, -43?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -30747, -4, 2 in decreasing order.\nAnswer: 2, -4, -329, -30747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13175*q**2. Let p(o) = 271*o**2. Give j(p(u)).\nAnswer: 967585175*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*y - 1 - 3, y - 24 = -5*z. Suppose 34 = 3*j + z*g - 7, -5*j - 2*g = -59. Calculate the highest common divisor of 99 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkvj when four letters picked without replacement from {s: 2, j: 1, w: 1, k: 2, c: 1, v: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -24. Let u(l) = l**3 - l**2 + 1. Let t be u(-1). Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 + 18*h**2 + 19*h + 43. Is x(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)**21\/(v**(-20))**(-49))**(3\/14) assuming v is positive.\nAnswer: v**(-2127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269.5 - -269. Which is the third biggest value? (a) u (b) -7\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010111100 (base 2) in base 13?\nAnswer: 1c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8854 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/33 and 76\/90 + -3 + 1.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 292.3 + -271. What is u rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n*n\/(n\/((n\/n**(2\/7)*n*n)\/n)))**(-17)\/(n**(-19\/2))**4 assuming n is positive.\nAnswer: n**(-295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 21003529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 30*g + 143. Let k be r(-26). Let o be (-4)\/(-26) - (-33)\/k. Does o = 3\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 10*a + 31. What is the remainder when (-4)\/14 + 191\/7 is divided by s(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1295, -4, 3, 5 in decreasing order.\nAnswer: 1295, 5, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37427434\/(-18) + (-8 + 9)\/(-9) + 2. Round t to the nearest 10000.\nAnswer: -2080000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2322*i - 840 = -2287*i for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = 40*n - 35. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*((-20)\/8 + 2). Solve -i - 5 = 4*g - h, 3*h + 24 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10*i + 10160. Let z = i + -1414. Calculate the greatest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(231\/(-44)))\/((-1)\/(-261)). What is the tens digit of g*(4\/6 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1146 + -1114. Calculate the smallest common multiple of b and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/108 - 1\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904 divided by -17?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 3*w + 19. Is 8 a factor of j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 452*l**3 - 2808*l**2 + 5680*l - 3808.\nAnswer: 4*(l - 2)**3*(l + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 80*b + 1104.\nAnswer: -(b - 12)*(b + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m - 2*f = 86*m - 76540, 0 = -m + f + 38264. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1044*h + 110601. Determine u(106).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-6)*(-204)\/(-1071)*2*-3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 5*m**2 + 8*m**2 - 10*m**2 in the form r*m + b*m**2 + o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 14 + 3 = -4*a, 6 = 3*u - 3*a. Let j be (-1)\/(-2) + u\/2. Suppose -o - o + 17000 = j. What is o rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**2*y**2 + 975*u**2*y + 3*u**2 + 3*u*y**2 - 2*y**2 - 726*y + 2 wrt u?\nAnswer: 8*y**2 + 1950*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkzkkkkkkkkkk. Give prob of picking 3 k.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) 0.1 (d) -547\/45 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 136, 143, 150, 163, 188, 231, 298, 395?\n\"Answer: s**3 - 6*s**2 + 18*s + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-1 + 1) - (-14 - 63 - -93)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123994.9512795 + 123995. Let c = 0.0487 - t. Round c to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 1. Let d be p(-2). Let l be d\/6*1*2. Solve -4*g - g + 1 = -2*v, -v - g + l = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8029800 to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2659 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-15)\/12)\/(3\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.01863 millennia in months?\nAnswer: 996223.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -60900746*h**2. Let g(m) = -2*m**2. Calculate g(y(d)).\nAnswer: -7417801726713032*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (332\/2075)\/(-2 - 0). What is the third biggest value in -2\/39, 15, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*y + 12, 5*y = 4*o - 2*o + 23. Let f = -2 + -2. Put y, 4, f in increasing order.\nAnswer: f, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w + 4*w**2 + 35*w - 130*w**2 - 94*w**2.\nAnswer: -220*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-5))\/(4\/10) + 1. What is the third derivative of b*h**3 + 33*h**2 - 68*h**2 + 33*h**2 wrt h?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 17*r + 19*n - 85, 2*r - 19 = -3*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = -2*r + 27, -26 = -5*p - r. Which is the biggest value? (a) -1 (b) 0.17 (c) p (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v + 0*v)*(11*v + 2*v**2 + 2 + 2*v**2 - 5*v**2) - 1202*v**3 + 541843*v**2 - 541843*v**2 to u*v**2 + c + g*v**3 + r*v and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -41, -17, -27, 5, -2 in ascending order.\nAnswer: -41, -27, -17, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a**2 + a + 4. What is q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 189904 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -8, -146, 4, -9 in descending order.\nAnswer: 4, 1, -2, -8, -9, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -210*d - 8. Let y(o) = 2*o - 1. Calculate -f(z) + 4*y(z).\nAnswer: 218*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))\/p)**44*(p**4)**(3\/5) assuming p is positive.\nAnswer: p**(-208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 469 + 449. Let d = 1.14 + 0.06. Let r = d - 0.2. Which is the biggest value? (a) r (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -3, 11.022?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0969 - -0.0031. Let g = 0.05 + 0.06. Let s = g - -4.89. What is the closest to b in 0.3, -3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((-3)\/6)*1590\/(-60) is divided by ((-42)\/9)\/((-1)\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + 3 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-21)\/(-35) + 12. Solve 0 = h*w + 36 + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1890)\/245)\/((-1)\/28). Calculate the greatest common factor of n and 2106.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 6*k + 5. Let p be h(6). What are the prime factors of -8*p\/(-2) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 + 170*j**2 - 84175*j - 2703840 = 0. Calculate j.\nAnswer: -131, -32, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f = 0. Let o(h) = -3*h**2 - 17. Let a be o(f). Are -18 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84888*f - 4 + 4 + 2 - 86621*f in the form g*f + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376931.\nAnswer: 376931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c**3 - 35 + 35)*(2 - 1 + 1) + 5*c**2 - 5*c**2 + 6*c**3 - 3*c**3 - c**2 + c**2.\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + sqrt(198)*-2)\/sqrt(9) - (sqrt(220)*2)\/sqrt(10))\/(2*sqrt(18) - ((sqrt(98) + -2*sqrt(98) - sqrt(2)) + sqrt(2))).\nAnswer: -3*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458 a factor of 21506346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 1. Let m be o(3). Solve -m = -5*n - 2*l, 3*l - 13 = 3*n - 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -45 + 476\/14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10000, -9997, -9994, -9991?\n\"Answer: 3*y - 10003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*c**3 - 199*c**2 + 34324*c wrt c?\nAnswer: 390*c - 398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*n + 2*k, 62*n = 58*n + 4*k - 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.296 - -0.604. Which is the third smallest value? (a) 3 (b) 0.1 (c) -1\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from zxzzxzzqatxzzzzzzqt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(((-62)\/556)\/31). Solve -z = -w - 2496 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l + 44*l = 52 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -113*v - 90. Calculate d(-4).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 33222 (base 10) to base 13\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 5*p + 5*p + (-2 + 1 - 2)*(4 - 4 - 2*p**2) - 2*p**2 - 4*p + 4*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + 0 - (-1 + 1). Suppose -y - 383*w + 386*w + 85 = 0, -2*w + 2 = 0. What is the greatest common divisor of u and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*q**4 + 66?\nAnswer: -116*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 5*b + 3. Let d = -16 - -19. What are the prime factors of n(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71.58791 - 71.52. Round o to three decimal places.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - c + 4*c. Let i(s) = -11*s**2. Give i(v(f)).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -n - g - 19, -4*n + 3*g + 16 = 0. Sort -89, -3, -2, n in decreasing order.\nAnswer: n, -2, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 4. Let f be 6*3\/(2 - -1). What is the units digit of g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8323333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 9*t + 7. Calculate the remainder when f(5) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93\/286 + -1\/5720. Let s = 1447\/40 + l. Let d = -141159\/10 + 14104. Calculate the common denominator of d and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1cb138 - -10?\nAnswer: 1cb148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/1248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r - 5*w = -15, 0 = -5*r + 4*w - 12. Suppose r = 11*v - 90 - 339. Let p = -22 - -61. Is v != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3274, 6545, 9818, 13093, 16370, 19649, 22930?\n\"Answer: t**2 + 3268*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 - 2.8. What is the third smallest value in -1\/2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 3, h: 1, i: 5}. What is prob of sequence ill?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 less than -1.27?\nAnswer: -325.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98725 - 98719.5797. Round c to 1 decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1072 - 1077. Let n = 211\/4 + -53. Sort 1\/9, n, r, -2\/9.\nAnswer: r, n, -2\/9, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-364 + -42)\/(-7)*(-6)\/4*5\/15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let r(z) be the first derivative of -12 - 62\/3*z**3 + 0*z + 0*z**2. What is h(r(g))?\nAnswer: -62*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:04 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 4*r + 4*r + (-1 - 2*r + 1)*(-2 + 2*r + 2) + (12*r - 10*r + 22*r)*(4*r - 6*r + r) to n*r + x + q*r**2 and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, s: 15}. What is prob of picking 3 s?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11793 divided by 21\nAnswer: 3931\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292 + -3210\/11. Let q be (2332\/(-165))\/(4\/(-10)). Let m = q - 35. Which is the second biggest value? (a) m (b) p (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-20)\/p*p*p)\/p*p*p**(-1\/9))**(2\/69) assuming p is positive.\nAnswer: p**(-326\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*u - 12849 + 9923 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 293? (a) 65 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 742 - 733. What is the nearest to 1\/2 in 4, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l + 12 = 0. Calculate the common denominator of (-443)\/260 - l\/26 and -127\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7643 minus -2?\nAnswer: 7645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - 1) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.8 - 26.2. Which is the second biggest value? (a) w (b) 4 (c) 768\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2 + 126\/27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)*(a*a**1\/a*a)\/a*(a*(a**(-2)*a)\/a)**(-20\/7) assuming a is positive.\nAnswer: a**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q + 75. Suppose t = q + 34. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 153, 619, 1395, 2481, 3877?\n\"Answer: 155*q**2 + q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229128923?\nAnswer: 3, 11, 37246331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 316*b**3 + 12*b**2 - 162*b**3 + 22*b - 153*b**3 + 1 - 3. What is the lowest common multiple of v(-9) and 1?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-156*s + 140*s - 398*s).\nAnswer: 828*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -123.96 and -2.\nAnswer: 247.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/2*y**3 + 43\/120*y**6 + 0*y**4 + 0*y + 0*y**5 + 0 + 46*y**2. What is the first derivative of f(o) wrt o?\nAnswer: 129*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*r = -15, -4*r - r + 49 = 3*s. Let m = 16 - s. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008481095 to six decimal places.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + 138*d**2 + 433*d + 20105. What is x(-68)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 - 2.8. Sort 2\/5, 0.1, 0.5, d in descending order.\nAnswer: 0.5, 2\/5, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 14*l + 35. Let j be o(11). Suppose z + 142 = j*c - 0*z, -z = c - 71. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 40 + 30 = 0. Suppose 0 = -3*a - g*h - 4 - 1, -35 = -3*a + 5*h. What are the prime factors of a - 4 - 3 - -38*2?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-4) + -1 - -3. Which is the second smallest value? (a) -3 (b) 2\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -79. Suppose -h*m + 12 = -34*m. Let q be 2 + (m - (-2)\/(16\/6)). Which is the second biggest value? (a) -1 (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h + 2. Let o(n) = -13*n**3 + 2*n + 1. Let l be o(-1). Let c be (-46)\/8 - 3\/l. Is 16 a factor of v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 3*w**2 - 2 + 0*w**2. Let k be (-30)\/16 - (-6)\/(-48). Let r(g) = -g**2 - 1. Calculate k*r(a) + 2*p(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-16)\/(-4))*1*-154. Suppose -4*x = 2*g - 88, 3*g - x - 4*x - s = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.14 (c) -584 (d) -5 (e) 5 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 160 = -3*i. List the prime factors of i*1\/((-4)\/8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6203 is divided by 129.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - -7 - 4\/4*-3. Suppose 5*u = 5, 2*k - 5 = -3*u - 2*u. Solve -5*c + k = -b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -12052?\nAnswer: 12051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -3. Let z = x + 4. Is (1 - (z - -2)) + 22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1*(-6 - 9\/(-3)). Let t be (-60)\/40 + ((-42)\/(-4))\/u. Suppose -5*k = -0*h - h - 55, -5*k + 70 = t*h. What is the least common multiple of 30 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -83, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 86387902?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5\/3 + 64651*m**4\/3 + 129338*m**3\/3 - 689600*m**2 - 2068896*m = 0.\nAnswer: -4, 0, 6, 64653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 214222?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drrd when four letters picked without replacement from brdrddrdrrd?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 - k**2 - 2*k + 387507. Is g(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/(-4)*2\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 6*a - 2. Let v be k(3). Suppose -3*z + 39 = 5*j, 2*z - 3*j = v*z - 49. Solve 0 = 4*n - 2*r - 30 + z, n + r - 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*w**2 - 94*w**3 + 12 - 977*w**2 - 750*w**2 + 5.\nAnswer: -94*w**3 - 1851*w**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5764, -5763, -5754, -5731, -5688, -5619?\n\"Answer: i**3 - 2*i**2 - 5763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b482 - -1?\nAnswer: -1b481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 - 12*g**4 + 213*g**3 - 294*g**2 - 960*g + 1056 = 0.\nAnswer: -11, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = b - m - 10, 5*b + 4*m - 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r + 304 - r**2 - 150 - 172 - 2*r - 4*r. Determine j(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.946 - 0.054. Which is the closest to 1? (a) 0.3 (b) -9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2 + 13*h + 19. Let k(i) = -3*i**2 + 13*i + 19. Let q(m) = -4*b(m) + 5*k(m). Does 15 divide q(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2 - 51679252*n + 258396160 = 0 for n.\nAnswer: 5, 12919808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62655.939us to hours.\nAnswer: 0.0000174044275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(12) - sqrt(18)\/(sqrt(6) + sqrt(6) + sqrt(24)\/sqrt(4)).\nAnswer: -7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196770 divided by 239354?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -279, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -18. Suppose 0 = 2*f - 3 - 7, 3*f = -n + j. Suppose -n*z + 279 = -85. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*m**3 - 2191*m**2 - 1289202*m?\nAnswer: 210*m - 4382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:33 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 1\/218 (c) 1\/5 (d) 61 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 7*s**2 + 6*s - 6. Let n(l) = -l**3 - l + 1. Let t(x) = 6*n(x) + w(x). What is the third derivative of t(i) wrt i?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*b**2 + b**3 + 7*b**3 - 14*b**2 - 9*b**3 - 4 as s*b**2 + x*b + h*b**3 + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4032*v - 1189455. What is s(-295)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -36, 3, -10515 in ascending order.\nAnswer: -10515, -36, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -228 (base 10) to base 12.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1029 + 1031 - 39*m - 38*m)*(-25 + 12 - 12) in the form u + n*m and give n.\nAnswer: 1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1826, -1815, -1780, -1709, -1590, -1411?\n\"Answer: 2*a**3 - 3*a - 1825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 3*t + 2. Let q(u) = 5*u**2 - 2*u + 3. Let y be q(2). Suppose -y = 4*w - 63. Let d(s) = s**2 - 12*s + 9. Let r be d(w). Give n(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113189.66235 rounded to the nearest 10?\nAnswer: -113190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 770788.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 14*c**2 - 3*c - 34. Let l be n(-14). Solve z - 6 + l = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -199*w - 562. What is the smallest common multiple of l(-3) and 2550?\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-67 + 47 + 16)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 9*m**2 - 10*m + 9. Does 9 divide l(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*x + 4*f, x + 2 = -5*f - 22. What is the hundreds digit of ((-6)\/x)\/3 - (-117078)\/156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3378 - -2131. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90776 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -39, -90, -161, -252, -363, -494?\n\"Answer: -10*a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12470141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppd when four letters picked without replacement from {v: 1, d: 10, p: 8}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3578.6595 + -3578. Round j to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1507*126\/693*((-1)\/10)\/((-12)\/60)\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154390 and 710194.\nAnswer: 3550970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -34. Let g be -2*-4*3\/(-36). What is the nearest to -0.1 in g, 1\/2, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 5) + -8 - -7) + (-2 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - p**2 - 5*p + 4. Let h(f) = -2*f**3 - f**2 - 4*f + 3. What is 5*h(d) - 4*u(d)?\nAnswer: -2*d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -26. Solve 2*w - 13 = -p*u + 5*w, -3*u - w = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 34*u**3 - 4*u - 13*u**3 - 7 - 13*u**3. Let c(h) = 6 - 39*h**2 - 7*h**3 + 4*h + 39*h**2. What is -7*c(a) - 6*m(a)?\nAnswer: a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -18*w - 152. Give r(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -138 + 120 + 54 - 92\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6 - 8*f - 60*f.\nAnswer: -68*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1)\/((-4)\/(-2)). Suppose -4*w = -3*x, -x - 4*w = -a*x - 16. Solve 6 = 3*m - 3*h, -h + x = -2*h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20122 (base 5) to base 8\nAnswer: 2407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -12.95. Let k = -48 - -48. Let l = -0.03 + 0.23. Which is the second biggest value? (a) k (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 3. Let s be b(-6). Let g(k) = -3*k - 13. Let w be g(s). Suppose -w = -4*u - 2. Solve -u*y + 7 - 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -14 - (16 + (-19 - -10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3085*x - 2809*x - 3083*x + 8992*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7909.54527 to zero decimal places.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -30875\nAnswer: 11\/30875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1371, 2743, 4123, 5517, 6931, 8371?\nAnswer: 9843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-364))\/((-18)\/63)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a**2 + 2*a + 4. Let z(y) = -44*y**2 - y**2 + 4*y**2 - 6*y - 11 + y**2 + 17*y**2. Determine -8*w(g) - 3*z(g).\nAnswer: 5*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1356834530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -67965 (base 14) to base 4\nAnswer: -331122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 176*y**4 - 1940*y**3 + 3200*y**2 + 60*y - 216 = 0.\nAnswer: -1\/4, 3\/11, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b16b13 (base 12) in base 3?\nAnswer: 1000200112112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h. Let f(r) = r - 3 + 3 - 2*r. Give n(f(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195.0903*-0.2.\nAnswer: -39.01806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 + 280 = 5*w. Let p = w - 75. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10444*z**3 - 2236*z**2?\nAnswer: 62664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, -1\/7, 0.05, 1219, -2 in descending order.\nAnswer: 1219, 0.15, 0.05, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 greater than 519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 20, -2, 3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21*38\/399*(3 + (-57)\/18). Let q = 3 - 2. What is the smallest value in -1, p, 3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*y + 7759, -4*y + 10352 = 9*r - 6*r. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 8 - (-38 - -25)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.19824 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 347*j + 26802193 - 26761594 for j.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -19, -2, 222.2 in descending order.\nAnswer: 222.2, 3, -2\/5, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -26)*(1\/(-3))\/(1\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 4*a - 4 = 6*h, -5*h + 1 = a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943 divided by 1.\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:40 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**3 - 3*v - 3*v**4 - 29*v**3 - 3 + 12*v**3 + 9*v**3 to k*v**2 + p*v**4 + a*v + g*v**3 + q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwxwbwwbx. What is prob of picking 1 b, 1 w, and 2 x?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65802898?\nAnswer: 2, 7, 83, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u**(-2\/5)*u*u*u)\/u*u)*u\/(u\/(u**(-9)*u*u)))\/((((u**0\/u)\/u)\/u*u)\/u)**(-1\/7) assuming u is positive.\nAnswer: u**(-386\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 2*o - 4 + 4 + (-12*o - 6*o + 11*o)*(0*o + o - 4*o) + 0*o**2 + o**2 + 0*o**2.\nAnswer: 20*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11 - 8 + 126*m**2 + 0 + 1 + 49*m. Is x(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wawv when four letters picked without replacement from vffwwwa.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -5529356.41894?\nAnswer: -5529356.61894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201504577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (28 + (-22 - 21)) - -15 - (1 - 7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - 5*k**2 + (-3 + 2 - 2)*(-4*k**2 - 5*k**2 + 4*k**2) + (-k - 2*k + k)*(2*k - 2*k + k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-6))\/(-1))\/((-17468)\/(-38112))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -998, -3908, -8758, -15548, -24278, -34948, -47558?\nAnswer: -62108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from jppdp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (sqrt(2) - sqrt(12)\/(2*sqrt(6))).\nAnswer: -4 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 9*c**2\/2 - 82. Let l(u) = u**2 + 6*u + 7. Let m be l(-6). Is n(m) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47.074 + -0.074. Let h = 49 - c. Put -1, h, 1\/3 in decreasing order.\nAnswer: h, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118\/1292 - (-6)\/(-51)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.56 + 13.36. Suppose -2*m = m + 48. Let o be 2\/3*(-3)\/m. Sort h, o, -1 in ascending order.\nAnswer: -1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9*(-51)\/(-9))\/((-3)\/(-26)). Suppose 44*u + v = 46*u. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164554 (base 9) to base 7\nAnswer: 602515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1537?\nAnswer: -6\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.2. Let f = -0.4 - x. What is the nearest to 1\/3 in f, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 379.2697 weeks?\nAnswer: 229382314560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.971 and 178.841.\nAnswer: 176.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 + 20*b**4 + 46*b**3 + 24*b**2 = 0. What is b?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-9)\/(45\/2)*2185\/(-46)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (301\/(920759\/46))\/(-2*(-2)\/140).\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 142074 and 594.\nAnswer: 1562814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*c, 1541*c = 2*j + 1537*c - 34 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovovvvvogogvvgvo. Give prob of sequence gvo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -25142.\nAnswer: 25142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 18*k - 8. Give d(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13061224 + 39.14\nAnswer: 13061263.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2 - 478*g - 16317 = 0.\nAnswer: -441, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002222 (base 4) to base 2.\nAnswer: -10000010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1195905*t**2 + 2510052.\nAnswer: -2391810*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 2*g)*(g**2 + g**2 - 10*g**2)*(102 - 51 - 47).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28710 + 216*m - 869*m + 220*m + 210*m + 224*m)*(1 - 1 - 1).\nAnswer: -m - 28710","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 - 728 = -20*f. Sort f, -10, 10.\nAnswer: -10, 10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239943377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 453284098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-15))\/(8\/(-20)). Let c = -13\/10 - -3\/2. Let i = -122 - -118. What is the second smallest value in c, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8452*-1\nAnswer: 8452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 2*z - 2*g, 5*z + 3*g - 698 = -33. List the prime factors of z.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -463 - 1203577?\nAnswer: -1204262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxoxxxo. Give prob of picking 3 x and 1 o.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -3*i. Let w(t) = -6*t**3 + 3*t**2 + 2. Let j(l) = -l**3 - l + 1. Let g(c) = -5*j(c) + w(c). List the prime factors of g(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/7 + 10\/35. Suppose -3*q = 5*f - 5, 0 = -4*q + f - 11 - 13. What is the third smallest value in m, -7, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from izzis?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/133 (b) -0.4 (c) -2\/3 (d) 0.5 (e) 0.1 (f) 2 (g) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34, -146, -316, -544, -830, -1174, -1576?\n\"Answer: -29*i**2 - 25*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 3:20 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 31*i + 18*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - 3. Is n equal to 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 426 (b) -2\/5 (c) 65.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 0.3, 1\/3, -2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 6. What is the remainder when 41 is divided by b(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2089 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {i: 1, m: 2, r: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 5*u + 1415 - 1396, -2*u - 28 = -19*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -814 - -825. Solve 5*t + q = 6*q - 15, -w = -3*t - 2*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j - 3. Suppose -5 + 1 = -2*k. Suppose 3*d = k*d + 10. Is m(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 85 + 0*q - 4*q + 5*q.\nAnswer: -2*q + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51242675123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 18*w + 7. Let y = -13 + 25. Is k(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**3*v**3 - 957*n**3 - 2*n**2*v**2 + 134*v**3 + v wrt v?\nAnswer: -18*n**3 + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.1. Let k = -20.269 - -18.269. Let l = 1.2 + -0.2. Which is the closest to r? (a) l (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 4, -18 in descending order.\nAnswer: 4, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 - 5*t + 1. Suppose 4*d = -19 + 3. Is 21 a factor of c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1.1, 72, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*d**3 - 236*d - 176*d**2 + 217 - 192*d**2 - 65.\nAnswer: 4*(d - 19)*(d + 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-31)\/u*(u*(u*u*u*u**(-31))\/u*u)\/u)\/(u**(-4\/25)*u**(-9)) assuming u is positive.\nAnswer: u**(-1271\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3204\/((-14685)\/(-165))*-1*1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 3143568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y**2 - 7*y. Calculate r(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddvwrfrrdrdfws. Give prob of sequence swrd.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*n + 76*n + 6728 = 0 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-244)\/3)\/((-24)\/36). Let o = -117 + l. Solve 0*n - 2 = 2*n - 2*f, 3*n + 3 = o*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (3*(1 + sqrt(171)) + sqrt(171) - -3*sqrt(171)*-1 - (1*sqrt(171) + 5 + -5 + sqrt(171) + -1)))**2.\nAnswer: -1050 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzre when four letters picked without replacement from {q: 2, w: 2, r: 1, z: 4, e: 1}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) 1 (c) 3 (d) 1\/3 (e) -439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.48 + 0.48. Let h = -5 - n. What is the nearest to 2 in 5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**9\/20160 + p**6\/90 - p**5\/60 - 12*p**2. Let h(o) be the third derivative of x(o). What is the derivative of h(k) wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 64\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - 42126\/408)\/(18\/(-14)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 a factor of 37323670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 42*c - 3954. What is v(94)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 2, j: 2, y: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u**3 - 1 - 8*u**4 + 4*u**3 + 0*u**4 + 13*u**3 to d*u**4 + w*u**2 + c*u + q + t*u**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154266 is divided by 702?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1808\/27 - 185953\/2808. Calculate the common denominator of u and 121\/1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-185 - -186) + -1 + 18 + -2 - 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n + 14*n + 50*n - 151895. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.24 - -1.2. Let x = u - -0.54. Which is the fourth smallest value? (a) -3\/4 (b) 5 (c) x (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.6 + -11.6. Let m(v) = v**2 + 6*v + 5. Let o be m(-4). Which is the nearest to -0.2? (a) o (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145121029 to the power of 1\/2, to the nearest integer?\nAnswer: 56081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1) - 3\/((-3)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -3*r, -2*b - 2*r = 6 - 4. Let p = b - -1. Let h(u) be the third derivative of -5*u**4\/24 - u**3\/6 + 7*u**2. Determine h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-650)\/(-12700)*48\/312)\nAnswer: -127\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -69289 (b) -0.1 (c) 6 (d) -0.3 (e) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232912091.\nAnswer: 61, 3818231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -17 (c) 9\/2 (d) -0.4 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 19*d - 10. Suppose -8 = 2*x + 14. Let u be g(x). What is the greatest common divisor of u and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 6. Let x be v(-7). Suppose 2*d - x = -o, 0 = -o + 6*o - 3*d - 165. What is the greatest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/4 - 27*b**2\/4 + 6*b = 0 for b.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/48 + 3\/16. Let i = -54947\/119 - -7852\/17. Put 0.3, 1\/2, i, u in ascending order.\nAnswer: i, 0.3, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -1 + 1 + 80\/(-24). Which is the biggest value? (a) 0.24 (b) -1 (c) p (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 17*q + 104. Let g be n(4). Solve -285*d - g = -297*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let l be z(-1). Solve 0 = -x, l*r = 4*x - 2*x - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6 = 0, -12*f = -15*f - 4*j - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a week in minutes?\nAnswer: 38080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 548. Let w(v) = -6*v - 528. Give -7*w(x) - 6*y(x).\nAnswer: -6*x + 408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121.2 + -121. Sort 3\/8, c, 36 in increasing order.\nAnswer: c, 3\/8, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 828020.\nAnswer: 27324660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 101 + 17 = -3*y, -6 = -2*m. Calculate the remainder when 219 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Let c(k) = 3*k + 26. Let m be c(-8). Solve m*v - 3 = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26597, 26858, 27129, 27416, 27725, 28062, 28433, 28844?\nAnswer: 29301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 154348501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.48664 weeks to days.\nAnswer: 164.40648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - h - 13 = 0, h + 21 = -2*u - 4*h. Suppose 0 = -3*g + u*y + 18, 3*g = -5*y + y. Suppose -5*m - j + 22 = j, g*j = 3*m - 34. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55650 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7547 - -7547.2. Which is the second biggest value? (a) -0.197 (b) l (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12411 + -12410. Solve -3*w = -45*p + 44*p + x, 5*w - p = -3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -36 + (0 - -1) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -18. Calculate the least common multiple of f and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11198338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2*g + 72, -226*t - 4*g + 39 = -225*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10267*f**4 + 13611*f**2?\nAnswer: -246408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 14*k = -42. Let a = -806\/33 + 210\/11. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54\/582451 or -2\/3?\nAnswer: -54\/582451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -325.33 + 323. Let l = 0.07 - v. Let y = -5.4 + l. Which is greater: 3\/7 or y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v + 2. Let s be l(-1). Suppose -s*h + 10*h - 26 = 0. Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111 (base 3) to base 10.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3822542\nAnswer: 1\/1911271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from yeennwwnwee?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -3, 0, -2, -5 in decreasing order.\nAnswer: 0, -2, -3, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*c**2 + 530*c**2 - 250*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.0212.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*b - 76299 - 70881. What are the prime factors of b?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 3*z + 6. Let h be n(0). Suppose 12*j - h*j - 29730 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:11 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 3?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1347699, 1347693, 1347683, 1347669, 1347651?\nAnswer: 1347629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622284312?\nAnswer: 2, 3, 13, 1994501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 486*z**2 + 99*z - 329. Determine f(3).\nAnswer: 4342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -397 + 41. Let x be (-8 + 9)*a\/(-2). Is -21*(-1)\/6*x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75963008 divided by 3452864\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 - 2092*b**4 + 20984*b**3 - 75618*b**2 + 113481*b - 56754 = 0 for b.\nAnswer: -2102, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2139086 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4 + 707*t**3 + 704*t**2 - 1412*t = 0. What is t?\nAnswer: -706, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4835?\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {u: 1, r: 1, w: 2, t: 1, l: 1, z: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 + 1896 = 62*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -63327.7109 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 3 + 4 - a**2 to the form s + o*a + v*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10945382?\nAnswer: 2, 7, 17, 45989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c**2 + 50 - 49. Let i(f) = 7*f**2 + 2*f - 4. Give -i(m) - 4*j(m).\nAnswer: -3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1836*j + 14560. What is g(8)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 679 - 67. List the prime factors of h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91.9 and -0.05.\nAnswer: -4.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 50053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29381, -58655, -87951, -117281, -146657, -176091?\nAnswer: -205595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -1, -4 in descending order.\nAnswer: 19, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5. Suppose 4*i + 5*a - 11 = 4*a, -2*i + 10 = 2*a. What is the third derivative of s**6 + y*s - 7*s**i + 6*s**2 + 0*s wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25089 divided by -3?\nAnswer: 8363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzv when four letters picked without replacement from zzvvvzz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 8, w + 4*q = -16. Solve 3*p - 5*m - 17 = 20, -5*p + 4*m + 40 = w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 + 567\/(-168).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 - 14.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 5*q**2 - 4*q. What is o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/20*-4*-11090. Let r = -17833\/4 - b. What is the common denominator of 4\/14 - 369\/(-154) and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.5. Suppose -6*u - 10 = -4*u. Which is the third smallest value? (a) u (b) -4\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 136 = 10*n. Let t be n\/(-153) - (-184)\/18. Solve 10 = -y - 4*w, 0 = -2*y - w - 2*w - t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5*315\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14d (base 14) to base 15\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7886?\nAnswer: 2, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/30 and 38\/121424493.\nAnswer: 1214244930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let l(o) = -45*o - 29*o + 102*o - 91*o. Calculate k(l(r)).\nAnswer: -63*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = -16. Solve -c = -a + 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26564 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 512.25 + -512. Which is smaller: s or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o - 38*o - 20*o as c*o + n and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44499 = 2388*t + 190503 + 83244 for t.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552139*y**5 + 2*y + 48815.\nAnswer: 11042780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2134*f = 2120*f + 126. Let q(b) = -b**3 + 9*b**2 + 6*b + 17. Let i(n) = n**3 - 9*n**2 - 5*n - 17. Let j(u) = -7*i(u) - 6*q(u). Determine j(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2939\/93 - 71526\/2263. Let x = 0 + 1. Are q and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ijjjijij.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129953203 by 1.\nAnswer: 129953203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + (28 - 43) + -9 + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {x: 2, e: 2, u: 8, j: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.139, 2\/23, 18 in increasing order.\nAnswer: -11, 2\/23, 0.139, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 0.0839.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235946 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*s + 18*s + 220 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 144.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -23, -57, -115, -203?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 208 = -226 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 5.2\nAnswer: 114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*o = 8, 4*u - 2*o - 3 = -o. Let b be -3 + (-4 - 40\/2). What is the hundreds digit of (-9)\/b + (443\/3)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 17*y + 17. Let t(n) = n**2 - n + 1. Let j(w) = -3*w**2 + 7*w - 7. Let k(h) = j(h) + t(h). Give 6*g(z) + 17*k(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 5. Let j be y(0). Suppose 0 = j*t - 9 - 6. Find the second derivative of -3*i - i**t - 2*i + 3*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 1. Let b be c(1). Suppose -2*y + 11 = p, -4*p + 3*y = -b*y + 11. Let i(m) = -4*m**3 + m**2 - 2*m + 1. Give i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c + 23. Let r(t) = -30*t + 66. Let f(i) = 17*b(i) - 6*r(i). What is f(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g. Let q(o) = -3508*o**2 - 2. Give d(q(w)).\nAnswer: 7016*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 35*w - 4*v + 21904 = 0, -20 = -5*v. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 s, and 1 x when three letters picked without replacement from xfffvssvmvfvvma?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1623 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972022 - -712548.2?\nAnswer: -1259473.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 13 = -6*d. Let t = d - -15. Suppose 5 = t*x + 7. Which is smaller: -1\/15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5.458?\nAnswer: 4.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 8:43 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 4 - 196*x - 16)*((3*x - 2*x + 0*x)*(2 - 5 + 1) + 3*x + 3*x - 5*x - 3*x + x + x - 21*x + 0 + 0) to n + s*x**2 + g*x and give s.\nAnswer: 4508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106265428 and 50876.\nAnswer: 7268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 - (-55 - -138 - 57)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21222 + -13476. List the prime factors of d.\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2 - 24*m**2 + 17*m**2 - 19*m**2 + 15*m**2. Let i(t) = t + 341. Give d(i(j)).\nAnswer: j**2 + 682*j + 116281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 6*z**2 - 2*z + 7. Let m(s) = -s**3 - 7*s**2 - 7*s. Let f be m(-6). Give d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10046 and -352.\nAnswer: -3536192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39283, 78568, 117863, 157168, 196483?\n\"Answer: 5*i**2 + 39270*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*p - 20*p**2 - 196\/5.\nAnswer: -4*(5*p + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -1503 + 18. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114586 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.19 * -4028.3.\nAnswer: 12850.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*z + 534 = -3599 - 17925 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -67153 (base 13) to base 5\nAnswer: -21440412","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/1120 and 71\/10832.\nAnswer: 758240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 15) in base 12?\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261 + 272 + (-9 - 1) - 16) + (1 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -946 + 956. Suppose 2*r + 0*r + 8 = 0. What is the second biggest value in r, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {i: 2, k: 4, v: 2, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -181?\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 657 = -618. Solve 6 - 17 = 2*t - 5*a, 3*a = g*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/60 + q**4\/24 - 4*q**3\/3 - 30*q**2 - 1. Suppose 3*l - 12 = -3*t, l = 2*l - 4*t - 29. Let c = l - 9. Calculate o(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 893\/95 - 9\/(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 11:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1702.408825 rounded to 2 dps?\nAnswer: -1702.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n - n**3 + (12*n**3 + 4*n**3 + 18*n**3)*(2 + 0 - 3).\nAnswer: -35*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 2*u**4 - 2*u**4 + (5*u**2 - 4*u**2 - 3*u**2)*(3*u**2 - 4*u**2 + 3*u**2) + (2*u - 13*u + 0*u)*(-2*u**3 - u**3 + u**3).\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*57.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12*(-4)\/3. Let a = 3.0393 + -0.0093. Let p = a + -0.03. What is the second biggest value in -1\/3, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -368.3 and -2.\nAnswer: -370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i - 32. Let u be j(5). Solve -3*d - 3*t = -6, 13 - u = 4*d + 5*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9083.8 + -6856. Round z to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 - -277. What is the remainder when 58 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 338\/5 + -68. Let r be 77\/22 - (-1 - -5). Put r, 4, a in descending order.\nAnswer: 4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba4 (base 15) to base 5.\nAnswer: 41004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43867.2762 - 43875. Round r to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 58*w**3 + 1788*w**2 + 1728*w.\nAnswer: -2*w*(w - 48)*(w + 1)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 19.7. Let d = 23 - 19.2. Let v = f + d. Round v to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*w = -9886, -4*w - 6526 - 1390 = -4*x. Let g = 2855 - x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -1\/100*t**5 - 9\/10*t**3 + 27\/10*t**2 + t + 3\/20*t**4 + 0. Let i(c) = 0. Calculate c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -191, -156, -121, -86?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034687339 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0423137956 rounded to four decimal places?\nAnswer: -0.0423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (5 + 0) - (-15 + 5)) + 13 + 34.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38676620 divided by 1388\nAnswer: -27865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6) - -1)*-3. Let c = o - -5. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3956*t**3 + 3*t**2 + 18*t - 29. Let p be z(9). What is p rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 7 + 7)*(0 - 4 + 5)*(-1 - 2*j + 1)*((-2*j + 0*j - j)*(j**2 + 0*j + 0*j) + 73*j**2 + 2*j**3 - 73*j**2).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*i - 14, i - 3 + 5 = -f. Sort 0, 2, -18, f in descending order.\nAnswer: 2, 0, f, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -656 + 42. Let w = 6445\/21 - y. Let o = w + -5\/21. What is the second smallest value in 4, o, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 254.655 - 255. Let n = -0.428 - u. Which is smaller: n or 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15442, 61763, 138964, 247045, 386006, 555847?\n\"Answer: 15440*q**2 + q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100*p + 7*p**4 + 100*p + (5*p**4 + 0*p**4 + 2*p**4)*(3 - 1 - 1).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:00 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2, 25, -6\/10265.\nAnswer: -2, -3\/5, -6\/10265, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -48, -52?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4610 + 9201 - 4600 - 170*w to the form j + g*w and give g.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(112) + sqrt(7) + -4 + sqrt(7)*-1 + (sqrt(7) - (-1 + sqrt(567))) + -5)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/23330 - -11623\/46660. Let d = -454\/5 - -90. Which is the closest to n? (a) -3 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -1959.756.\nAnswer: 58.79268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:05 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13) + -1)**2 - (sqrt(325) + 1).\nAnswer: -9*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424999286?\nAnswer: 2, 17, 47, 265957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 27*k = -36. Let u = k + -8. Solve -u*p + 4 = j, 0*j + p = -5*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*z + 22. Suppose 41 = -z*c + 101. Suppose 5*v + 5 + c = 0. Is -4 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82432.43 micrometers in meters?\nAnswer: 0.08243243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-4))\/((-2)\/8). Suppose 10 = u*y + 1. Factor -y*l**2 + l + 0*l**2 + 8*l.\nAnswer: -3*l*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t**3 - 68*t**3 + 31*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.52 + 4.08. Let g = 39 - q. Let p = -2\/133 - 256\/665. Which is the nearest to p? (a) g (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-304))\/(10\/(-72)*-3)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 - 902 = -18*z. Calculate the remainder when 255 is divided by z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44022443, 88044888, 132067333, 176089778, 220112223?\nAnswer: 264134668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, 1 n, and 1 f when four letters picked without replacement from {c: 1, f: 1, o: 1, w: 1, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, -1, 75, -0.3, 2 in descending order.\nAnswer: 75, 4, 2, -0.3, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 - 152. What is the derivative of b*m + 6*m + 11 + 3*m wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22832023 and -16.\nAnswer: 22832007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 7*x - 5430. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-8)\/((-4)\/(-28)). Let p be (-5 + 1 + 3)\/(4\/n). Calculate the greatest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*z + 1590 = -1770 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1028 + 1266. What is the remainder when l is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212 - -521. Put h, 1\/4, 5 in ascending order.\nAnswer: 1\/4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1501 + -0.12513\nAnswer: 0.02497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0 (c) -1 (d) -7202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7018 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -246, -4, -5.\nAnswer: -246, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (232\/40)\/(1\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(-2 - (3 - 134\/10)). Calculate the highest common factor of v and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -15 - 17*f**3 - 9*f + f**2 - 6 + 8*f**2 + 0. Suppose -2*n - 4 = -0. Let a(v) = 4*v**3 - 2*v**2 + 2*v + 5. Give n*j(o) - 9*a(o).\nAnswer: -2*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146602 by 11.\nAnswer: -146602\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v + 0*v)*(-107 + 107 + 13*v) - 4*v**2 + 5*v**2 + 2*v**2 + (-v + v - 2*v)*(v + 4 - 4) as x*v**2 + q*v + o and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -377 - -817. Is 40 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-48)*2)\/((-23)\/(-46)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (11 + 0 - 7)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 63. What is t rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:09 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -31*f**5\/60 + 38*f**2. Let b(j) = 2*j**2. Determine o(b(p)).\nAnswer: -124*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from yyyyykyykyyyky?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/4)*y)\/y)**40\/((((y**(-6)\/y*y*y)\/y)\/y)\/(y*y*y*y**(-1\/3)*y)))**(-1\/81) assuming y is positive.\nAnswer: y**(-62\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49350 and 24555150?\nAnswer: 171886050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.3 - 0.8322937?\nAnswer: -19.1322937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c0 + 1?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 1 + 3 - p)*(1 - 1 + 2*p + (2*p + 0*p - 3*p)*(0 + 3 - 2) + 3*p + p - p + 0 + p + 0 + (-1 - 4 + 3)*(-3*p + 2*p + 2*p)).\nAnswer: -3*p**2 + 42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717870 is divided by 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 0 - (1 + 0). Let r(k) = -k - k - n + 2. Let z(w) be the third derivative of w**4\/12 + w**2. Calculate z(r(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425254, -425256, -425266, -425290, -425334, -425404, -425506?\nAnswer: -425646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -261172, -522660, -784148, -1045636?\n\"Answer: -261488*n + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**4 - b**2)*(-489*b - 425*b - 246*b).\nAnswer: -1160*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w - 4\/3*w**3 + 0*w**2 + 0. Let b(n) = -66*n - 2. Let d(y) = -298*y - 9. Let t(r) = -9*b(r) + 2*d(r). Calculate x(t(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -259*l - 124. Is g(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-5 + (3 - 114\/(-21))). Which is the biggest value? (a) -0.1 (b) 0.1 (c) j (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*v**2)*(-60 - 4*v + 45*v - 22*v).\nAnswer: 57*v**3 - 180*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 151*d**3\/6 + 62399*d**2\/6 + 2478*d.\nAnswer: d*(d + 413)*(151*d + 36)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 18*i**2 + 39*i + 63. Give z(-16).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 16*z. Let l(x) = 302*x**2 - 666*x**2 + 285*x**2. Determine m(l(o)).\nAnswer: -12482*o**4 + 1264*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 9*a**3 - 33*a**2 - 9*a + 30 = 0. What is a?\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 38*j**2 + 12 - 40*j**2.\nAnswer: -2*j**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 119*j**2 + 9*j - 301. Is i(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/100 and -127\/3300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 174685 (base 9) to base 12\nAnswer: 5291b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 8}. What is prob of picking 1 t and 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 7 - 3. Let b(h) = h - 2. Let s(r) = 1. Let z(y) = g*b(y) - 3*s(y). Let w(x) = x - 2. What is -w(q) + 2*z(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.2. Which is the third smallest value? (a) 4 (b) -0.08 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*0.21.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2415675 - 2415646.00158. Let x = -29.35 - -0.35. Let c = z + x. Round c to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*1*-6.\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v - 531. What is p(91)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(180\/(-108)*6*1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -2\/3, 4, 0, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/51 and (-276)\/(-8)*10\/(-2040).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17501 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -17. Suppose 0 = 3*u - d - b, -3*u = -2*u - d - 8. Calculate the remainder when 26 + 0\/(1 + 0) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106541?\nAnswer: 106541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*m**3 + 481*m - 481*m.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 - 3*v + 29*v**4 - 24*v**4 + 6*v**2 - 3*v**4 - 11 as x*v + l*v**4 + t*v**2 + q*v**3 + p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -3\/4 (b) 0.012 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -7*p**4\/12 + 2*p**3\/3 + 3*p**2\/2 - 8*p\/3 - 14. Find i, given that y(i) = 0.\nAnswer: -8\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 1329 = 492*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.91995 litres to millilitres.\nAnswer: 98919.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 825 + 417 + 408.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, g: 7}. What is prob of picking 3 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395.561l in millilitres?\nAnswer: 3395561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*0.4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 37*i - 66. Let s be n(40). Let l be (56\/12)\/((-3)\/s) + 1. Which is greater: -84 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -4 - -4) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -22. Suppose -l*i = z - 3*z - 5, i - 11 = -4*z. Suppose 904 = 2*m - a - 3*a, 0 = -i*m + 3*a + 1353. What is m rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 6*o + 375. Let i(w) = -3*w**2 - 7*w + 374. Let l(p) = -3*i(p) + 4*j(p). Is l(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484851 > 484852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3188854 divided by -35.\nAnswer: 3188854\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2600 divided by 5\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.4, 0.1, 85, -0.22, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, 18, 29?\n\"Answer: 11*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2548)*5)\/(4*sqrt(20)\/sqrt(5)))**2.\nAnswer: 15925\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 2146219098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 85. Solve -2*k - 1 = -y - 10, r*y - 2*k = -10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 1\/5, 9\/7, -447, -6 in decreasing order.\nAnswer: 9\/7, 1\/5, -2.1, -6, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227111176 by -2.\nAnswer: 113555588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 3}. What is prob of sequence xii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*z + 9. Suppose 2*b = -5*a - 5, -3*b - z*a = -7*b + 29. Find the second derivative of 36*f**2 - 8*f**b - 36*f**2 - 7*f wrt f.\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 + 59 = -123*g. Which is greater: 153 or g?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 9*w + 16. Let r be a(-15). Let y = -106 + r. Suppose -3*i + 188 + 217 = y. What is the greatest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9660 and 0.6.\nAnswer: -9659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003947421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2629935146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -107568 >= -107570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1033 - 330. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5326 + -5251. Solve -167*x + 182*x = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from qzhiv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 208 = l - y, 4*l - 5*y = 224. Let m = -3 - -5. Suppose 3*x - 3*v + 90 = 6*x, x - m*v = 18. What is the remainder when l is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -9, 5 in descending order.\nAnswer: 5, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = -6, 5*w + 2 = 4*b. Solve b*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8579 divided by -1\nAnswer: -8579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y**3 + 1 - 1)*(y + y - 4*y) + (-265204 - 1277*y**3 + 265204)*(4 - 4 + 2*y) in the form l*y**2 + a + t*y**4 + f*y**3 + x*y and give t.\nAnswer: -2546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 208 = 4*q + 180, q = -5*i - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j - 17 + 17 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51311180*b*h**2*t - 3*b*h*t - 2*b*h + 2*b*t + 730*b - 95*t wrt h.\nAnswer: 102622360*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -401, 1572 in ascending order.\nAnswer: -401, -1, 1, 1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010221333 (base 4) in base 16?\nAnswer: 84a7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1299378 and 6126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 1082, 2454, 4386, 6878, 9930, 13542?\nAnswer: 17714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -447*b + 120. What are the prime factors of g(-10)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) - -3*sqrt(1920))\/sqrt(10))**2 + ((sqrt(3) - 1*(-1 + sqrt(3)))**2 + sqrt(3) + sqrt(3) - (sqrt(3) + 0)*5))*-2.\nAnswer: -3752 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 4 (c) 740 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 198651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.6 + 12. What is the closest to -6 in -5, x, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2690234883?\nAnswer: 3, 7, 14234047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-21*j + 2364 - 4814 + 2062).\nAnswer: 21*j + 388","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Let o = k - 4. Is o >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -470 + 476. Suppose 4*x = -0*x + 240. Calculate the smallest common multiple of r and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 20 = -4*j + 4*t, 0 = -5*t. Let g(z) = -z**3 + 5*z**2 - 2. What is g(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let z(n) = -2*n**2 + 8*n**3 - 6*n + p + 13*n - 2 - 5*n. Let y be z(1). Which is smaller: y or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 150, 46, -88, -246, -422, -610?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o. Suppose 6*m - 2*m = -2*h - 174, 2*m = -4*h - 318. Let v(z) = -z**2 + 6. Let d(u) = -14*u**2 + 77. Let f(r) = h*v(r) + 6*d(r). What is i(f(x))?\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2. Let m(y) = -2*y**3 - 3*y**2 + 3*y - 4. Let k be m(-3). Let o(t) = k - 2*t**2 - 14. Calculate o(a(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 7909?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*z = -9, -a - 33 = -4*a + 5*z. Suppose 18*j = a*j + 708. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (4 - 13) + -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.15 (b) 4 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 + 0*p**4 - 4*p - 4*p**4 + (-p**2 - 3 + 3)*(2*p**2 + 5*p**2 - 5*p**2).\nAnswer: -p**4 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 680254 divided by -1\nAnswer: -680254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49559 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69 * -3.81\nAnswer: 262.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1145710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6241*r**4 - 459*r**2 - 3139714*r wrt r?\nAnswer: 74892*r**2 - 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 22*b**2 - b + 11. Let p be n(-22). Let q be (p\/22)\/(3\/304). Factor -28*f**4 - 148*f**3 - q*f**2 + 0*f - 20*f + 2*f - 14*f.\nAnswer: -4*f*(f + 1)*(f + 4)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1400 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + d + 97 = 0, 25 = -2*y - 4*d + 87. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in -0.2, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4\/9)\/l)\/(l\/l**(-2\/7)*l*l))\/((l\/(l**4*l))\/l*l**(1\/3)\/l) assuming l is positive.\nAnswer: l**(59\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 426660 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g = -435540 + 435368. Factor -1\/2*v**2 + 1\/3 + 1\/6*v**3 + 1\/6*v**g - 1\/6*v.\nAnswer: (v - 1)**2*(v + 1)*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 8, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 168489*l + 1179487. Give t(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54435, -110067, -166893, -224913?\nAnswer: -284127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00218480466 rounded to 5 dps?\nAnswer: -0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214925835*a**2 - 404091952*a wrt a.\nAnswer: -429851670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*o - 60, 0 = -3*o + 4*o - 4. Let v be (-1224)\/(-45) - 1*2\/n. Calculate the greatest common factor of 216 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = g + 3, 0 = -4*g + 4*o - 9*o - 12. Sort 7, g, -25, 0.\nAnswer: -25, g, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 48*x**2 + 15*x + 26. What is the tens digit of m(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8794599 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 9, j: 2, a: 1, l: 3, d: 1}. What is prob of sequence ly?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47911538.\nAnswer: 2, 29, 826061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1485)\/(-105)*2184\/468?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -158, -1\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10576, -12723, -14870, -17017, -19164, -21311?\n\"Answer: -2147*k - 8429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-806572)\/(-39))\/((-8)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -15, -4, -3681, -3 in decreasing order.\nAnswer: -1, -2, -3, -4, -15, -3681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.914 + 3. Let z = -0.115 + 0.215. Let m = n - z. Round m to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -23.69. Let g = -0.31 + v. Let w = -4 - -8. Put w, 12, g in decreasing order.\nAnswer: 12, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from {m: 7, f: 3, n: 8}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4481836 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3\/3 - 233548*z**2\/3 - 6236480*z = 0.\nAnswer: -80, 0, 58467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 3)*(0 - 0). Suppose x = 3*a - 3, -g - 15 = a + 1. Let q = -9 - g. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((-3)\/((-18)\/(-12) + -3)). Suppose 0 = -3*m + 4*y, y - f*y = 5*m. Which is smaller: m or 4\/45?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*u**2 - 4)*(0*u + 0*u + u**2 + (-3*u + 2*u + 10*u)*(20*u + 4*u + 44*u)).\nAnswer: -1226*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 24190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8175.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -55585 = -55589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 655392989 to the power of 1\/3, to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475, -1529, -2581, -3631, -4679, -5725, -6769?\nAnswer: -7811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12786*l - 12783*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 405 and 315?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + y + 19960 = 0, -2*y = -4. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 84*n - 554. What is p(90)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57.30531 and -4.\nAnswer: 229.22124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -3 (b) 1\/6 (c) -0.1 (d) -1\/9 (e) 2\/155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 2*n + 28 + 10 = -30*a, 4*a - 4*n = 28 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:53 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 322769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/291 and 133\/7278.\nAnswer: 705966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-24) - -3)\/(31 + 188\/(-6))\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -2*d + 7, -30 = -5*h - 5*d. What is the first derivative of 71*u**h - 35*u**2 - 7 - 32*u**2 wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -0.55?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*y = -y - 487, -4*a - 5*y = 517. Let l = a + 123. Solve l*h + 6 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 233739 and 1938222.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56100 and 1100?\nAnswer: 56100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = -3*h. Let u be (-3 + 6)\/(h\/(-4)). What is the third derivative of 6*w**u + 0*w**2 + 2*w**5 - 4*w**2 wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/30 + 336*d**2. Let m(g) = -58*g**2 + g. Determine m(c(a)).\nAnswer: -232*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 585.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 244668, 489339, 734010, 978681?\n\"Answer: 244671*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5154*f**3 + 0*f + 5150*f**3 + 0*f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 533488.01 and 9?\nAnswer: 4801392.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 7*r + 11. Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g**3 + 4\/51*g**4 + 0*g - 4*g**2 + 0 + 1\/1020*g**6 - 4\/255*g**5. Determine q so that p(q) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 + 4*r + 1. Let q be i(4). What is the closest to -10 in 1\/2, q, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/((w\/w**(-10)*w)\/w)))\/(w**(-3\/4)\/w)*(w**(2\/25)\/w)\/w**(-9\/2) assuming w is positive.\nAnswer: w**(1733\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d - 4. Let i(h) = h + 5. Let o be i(-10). What is the units digit of m(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - 15*h**2 + 71*h - 264. Let a be u(6). Calculate the highest common divisor of 3450 and a.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0314 times -1354?\nAnswer: 42.5156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -60*p**4 + 351*p**2\/2 - 176. What is the second derivative of n(j) wrt j?\nAnswer: -1440*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taaa. What is prob of picking 1 a and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 178+73.51\nAnswer: 251.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3757 is divided by 406?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (728\/105 - 7)*(-4)\/2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1834 and -3.6249?\nAnswer: 1830.3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 16) to base 4\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6)*0 - -1. Let l(b) = 18*b**2 + 2*b - 2. Suppose 56*p = 35*p + 210. Calculate the remainder when l(f) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 44*z + 1108. Let n be i(18). Solve -n = 9*v - 928 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence casl when four letters picked without replacement from csjcssalas?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -577 + 580. Let z be (27\/g - 2202)\/(6\/(-40)). Round z to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6222 = 20*j - 23*j, 4*j = -3*f + 18744. What are the prime factors of f?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-365400004)\/14 - (-4)\/14. Round i to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5909352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -356941 + -74079.9648?\nAnswer: -431020.9648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**3 + 6*n + 3*n - 10*n)*(2*n + n - n)*(3 - 7 + 3) to the form a + l*n**2 + u*n**3 + r*n + p*n**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 7*c**9\/72 + 5*c**8\/56 + 19*c**5\/60 + 7*c**4\/12 + 40*c**2 + 8*c. What is the third derivative of n(r) wrt r?\nAnswer: 5880*r**3 + 1800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 + 71*d + 58. Suppose 121 = -3*i - 5*o, -45*i + 2*o = -42*i + 149. Is q(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 44 = 11. Let r be ((-996)\/(-10))\/(c\/150). What is r rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 2 + (-111214)\/18. Let g = t + 6187. What is the common denominator of 63\/2 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -121 (b) 2 (c) 2\/15 (d) -30 (e) -667\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 = -v - v, 2*v + 3*t - 8 = 0. Let k be ((-3)\/2)\/(v\/(-4)). Let g(r) = 3*r**2 + 4*r - 1. What is g(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558\/13*u - 1408\/13 - 152\/13*u**2 - 2\/13*u**3 = 0. What is u?\nAnswer: -64, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 896 and 4?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by -185.\nAnswer: 202\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13ab4 (base 13) in base 7?\nAnswer: 212561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:45 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Let r = -8694 - -17383\/2. Let y be -1 + 4\/(-38) - -1. What is the closest to 0.1 in r, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) -0.03626622 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l = -4*s - 47*l + 1745, -5*s - 4*l + 2173 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19193, 38483, 57763, 77027, 96269?\nAnswer: 115483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-15\/7)))\/((g*g**(2\/23))\/g))\/((g\/(g\/g**(-1\/12)))\/(g**(-9)\/g)))**(10\/13) assuming g is positive.\nAnswer: g**(-75935\/12558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 105. Let s be h(28). Let j(k) = 8*k - 129. Let g be j(s). What is the greatest common divisor of g and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16159 * 4\nAnswer: -64636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 521\/10 + -52. What is the third smallest value in -3, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 - 2*h + 2. Let t be l(1). Put 3, 1.3, t in ascending order.\nAnswer: t, 1.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - (-7 - 24 - -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:13 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = 0, -33 = 4*y - f + 44. Let w = y - -11. Let n be 3*(-2 - 33\/w). Solve 3*x = n + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, 1, 55\/2?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13090765322 rounded to three dps?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 5*h + 124 - 97, -2*k = -5*h - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + 5*p = -31, -2*p = -2. Let h(r) = r + 9. Let f be h(l). Solve f = -s + 2*y - 5, -5*s + 3*s - 1 = -y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + (-169)\/(-3). Find the common denominator of (-6)\/(-16) + 243\/x and -119\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 12:00 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 3*g**5\/100 + g**4\/20 + 6*g. What is h in s(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149 by 47635.\nAnswer: -149\/47635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {g: 4, t: 6, c: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070659?\nAnswer: 1070659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 508875068 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**9\/3780 + c**8\/840 + c**7\/630 - c**4\/12 - 6*c. Let d(i) be the third derivative of y(i). Let d(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 + 0 - 0) + -5 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52250\/6*1926\/1070 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*(j**(4\/5)*j)\/j)\/j))**(-1\/52) assuming j is positive.\nAnswer: j**(-1\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 1396*k**2 - 1248*k**2 - 8*k + 22*k - 1 wrt k.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 861 divide 9766846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/240 + 73*c**4\/48 + 5329*c**3\/24 - 104*c**2. Factor u(p).\nAnswer: (p + 73)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 17*x**2 + 48*x - 48*x. Let f(y) = -3270*y**2 - 3264*y**2 - 3264*y**2 + 9802*y**2. Determine d(f(p)).\nAnswer: 272*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0.3 (c) 0.1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2284*n**3 + 19*n + 10?\nAnswer: -13704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8*r = 15. Let g(o) = -3*o - 5. Let s be g(r). What is the remainder when 1029\/14*s\/6 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 + 20*f + 43. Calculate g(-4).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.01, -1, -152, -5 in increasing order.\nAnswer: -152, -5, -1, -0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(52) + sqrt(832) + sqrt(52)) + sqrt(52) + sqrt(52) + sqrt(260)\/sqrt(80))\/(sqrt(20)\/((sqrt(5) - 4*sqrt(5))*4)).\nAnswer: 117*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-6)\/(6\/(-2)). Let -4*a - 2*a**2 + a**5 + a**4 + 3*a + a**i = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19826, -40769, -61708, -82643, -103574?\nAnswer: -124501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 11*y + 5*y - y**3 - 2 + 4*y**2 to q*y**2 + k*y**3 + h*y + b and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s. Let k be m(-3). What is the units digit of -2*((-3 - -4) + k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 + 7682.\nAnswer: 7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 13 + -57 + 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l**3 - l**2 + 2*l - 1. What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4101*c**2 - 31*c - 68. What is the tens digit of p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207809330 + -640.6?\nAnswer: -207809970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 v when three letters picked without replacement from {m: 11, v: 9}.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4029488093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 14 + 11 + -27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, 0.4, 0.2, 0.3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86177971?\nAnswer: 11, 7834361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 540212 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.8 and 220683.\nAnswer: 220675.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 20212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12491\/62 at most 202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5330.\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -78 - 9*d - 64*d + 34*d + 41*d + 18. Calculate g(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*b - 19, -14*d + 16*d = b - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1002.\nAnswer: 8016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269\/119 or -1?\nAnswer: -269\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2844 + -2841. Solve 4*o + 12 = 4*l, u*o - 4*l + 6 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26900*n + 80701*n - 5 - 26903*n - 26900*n + 4 - 11.\nAnswer: -2*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6083 * -0.141.\nAnswer: -857.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.02 + 9.08. Let g = 1.9 + a. Let i = 12.0065 - g. Round i to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 7, c: 9}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 328 - 76. Suppose -a = -4*a - d. Let y be 2 + -6 - (-5)\/((-50)\/a). Is 0.1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:36 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11182.706 times -1?\nAnswer: -11182.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -3190, -5, -3, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.125137375 to 5 decimal places.\nAnswer: 0.12514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-8))\/((-4)\/6). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11304030 + -114432?\nAnswer: 11134043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:36 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3006.4 plus 10726?\nAnswer: 7719.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q**3 + 26*q**3 + 22*q**3 + 25*q**3.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5023.6 and -0.8.\nAnswer: -4018.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001608658 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-8)*3*-2. Let c = 23 + d. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 2}. Give prob of picking 1 x and 3 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 118515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2 + 2*m**2 + 1 - 4*m**2)*(-230 - 211 - 100).\nAnswer: 1082*m**2 + 2164*m + 541","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from {w: 2, r: 1, g: 1, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 33*v - 29*v - 52 = 0, 7*f + 0*f - 7*v = 2*f - 83 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229302*(-17)\/((-2601)\/34).\nAnswer: 2, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 78 + 0*o**2 + 49\/4*o**4 + 103*o + 0*o**3. Differentiate r(p) wrt p.\nAnswer: 147*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - -20. Let v be (126\/5)\/(28\/12 - 1525\/750). Calculate the greatest common divisor of m and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a6 (base 11) to base 7\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54962023 - 1.133?\nAnswer: -54962024.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 14*x = 7428. List the prime factors of x.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 0 - (150 - 150)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208)\/(-13) - (11 + 2). Let l(f) = -9*f + 25. Determine l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*u - 0*u - 16, 2*f - 1 = 3*u. Suppose f*i + l = -2*l + 11, -3*i = -l - 1. Let g(y) = -7*y**2 - 1. Determine g(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353627 is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*47\/2491*2\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432164 (base 7) in base 11?\nAnswer: -1a2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 14*k**2 + 10*k + 29. Let n be m(-5). Solve -5*i + 2 = -6*i - h, n*i = 4*h + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16521 by 5507.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3155 in -5\/4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-4))\/(4*1\/(-50)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31619990 divided by -6323998\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 - 4400010*u = 0. Calculate u.\nAnswer: 0, 880002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/2)\/((-46)\/(-12972)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 1\/6, 490 in decreasing order.\nAnswer: 490, 1\/6, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267825 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58447385333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/((-2)\/(14\/21)). Let h be 26\/72 - (-3)\/(-12). Let y = -0.01 + 2.01. Which is the second smallest value? (a) h (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 6, -4, 82, -2.\nAnswer: -4, -3, -2, 0, 6, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 21122?\nAnswer: 21116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x)\/(x\/(x\/(x\/x**(-2\/23)*x)*x)))\/((x**(-3)\/x)\/x**(-1\/9)) assuming x is positive.\nAnswer: x**(-455\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 17, q: 2}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v = -41*v + 12. Let u(l) = -12*l. Let g(c) = c. Determine v*u(r) + 66*g(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Let d(j) = -27*j**2 + 2*j + 4. Let g(x) = x. Let o(z) = q*g(z) - d(z). Is o(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 4*z + 2. Let k(c) = -c**3 + 3*c**2 - 2*c + 2. Let h be k(3). Let a be s(h). Solve a*o = -4*w + 12, 4*w = 4*o - o + 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229 - 224. Let v(q) = 8*q**2. Let h be v(-1). Let n be (-23)\/h + (-4)\/32. Sort 3, n, s, -4.\nAnswer: -4, n, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 138857355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j + 303*i - 308*i = 1132, -7*j = 5*j + i + 589 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - -6. What is the highest common divisor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 612b62c9 + -4?\nAnswer: 612b62c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -34. What is the nearest to 0 in 0.4, q, -0.6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - v**2 + v - 2. Let h be s(2). Let y = h - -34. Suppose -y*t - 8 = -8*t. Solve -t*g - 8 = g + u, 4*g + 12 = 2*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -145.86 and -1.94.\nAnswer: 282.9684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.487 to 1 dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68456 - -51383?\nAnswer: 130850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -35930061333.\nAnswer: -35930061333.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/13202*41*-658.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13528174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2659 - -29253\/11. Let o(h) be the first derivative of c*h - 1\/11*h**2 - 11 - 2\/33*h**3. Determine p so that o(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 230\/14 - (-3)\/(-7). Suppose -5*r + o = -r. Calculate the remainder when 15 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2944 and 352.\nAnswer: 32384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 + 6)*(2 - 2*h - 2)*(2 - 2 + 2*h**2) + 0*h**3 - 2*h**3 + 10*h**3 - 7*h**3 + 8*h**2 - 8*h**2.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*a + 26 = -2*d, 4*d + 28 = 3*a. Let u be (-8)\/d*20\/8. Suppose 3*k - 34 = -10. Solve -4*n = -u*n + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1541\/(-1380) + (4 - 62\/15). Which is the closest to 1? (a) 4 (b) f (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.439 + 177.561. Let p = -177.99999877 + f. Round p to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkrkkkxrrkkrkkrkk. What is prob of picking 1 k, 1 r, and 1 x?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -1, 3, -2, -258, 1 in increasing order.\nAnswer: -258, -2, -1, 1, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-3*j + 4*j + 0*j) + 3*j - 5*j - 3*j - 843*j - 984*j - 2144*j - 3008*j - 466*j in the form s + v*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - n + 2. Give v(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35425826?\nAnswer: 2, 17712913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 1:13 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712042 (base 11) in base 2?\nAnswer: 10001111000011111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 74\/739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 32500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:20 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*48\/60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 = -l, 0 = -5*l - 0*k + 5*k + 15. Suppose -2*h + 546 = l*a + 3*h, h = 5*a - 938. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(85)*1*-1 + sqrt(85)*2*-4))\/(1*5*-1*sqrt(80)).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.3 - -11.4. What is the second smallest value in 1, -1\/2, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1 + 682*b + b**3 - 682*b. Let i(f) = 6*f**3 - 1. Give -i(x) + k(x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -2 (c) -415\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-26 + 32 - 32)) + -22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*z - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oll when three letters picked without replacement from flffoflooofo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01178467 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12370, -12373, -12378, -12385, -12394?\nAnswer: -12405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0256177 take away -34897444?\nAnswer: 34897442.9743823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -288 - -292. Determine m so that -5\/3*m**2 - 2\/3*m + 0 - 4\/3*m**3 - 1\/3*m**k = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 2. Let v be h(-2). Suppose v = -4*q + w + 92, -w - 3*w + 64 = 2*q. Solve q = 4*i - k + 5*k, 4 = -4*i + 3*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 10*c**2 - 57*c + 196. What is n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)*(j*j**15)\/j)**(-17) assuming j is positive.\nAnswer: j**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 103184251 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d**2 + d. Let b be q(1). Let c = 34 - b. Suppose 0 = c*i - 2*i - 21. Solve g = i - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-21 + -28 - -15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*m - 8181, 4*g - 4080 = 2*g + 2*m. List the prime factors of g.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 2*n**2 - n**2 + n. Let d be s(-1). Let i = 0 - d. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000563395 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.4 + -17. Sort 0.3, 5, g.\nAnswer: 0.3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 32 + 1\/2*j**2 + 50*j. What is the units digit of b(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429892263?\nAnswer: 3, 97, 492431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d - d + 3*d + 2*d - 5*d + 0*d + (2*d + 0*d - d)*(0 + 2 + 0))*(13*d + 12*d**3 - 13*d) as j*d**4 + v + l*d + g*d**3 + q*d**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/249 and 73\/21?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1430, -1415, -1390, -1355, -1310, -1255, -1190?\n\"Answer: 5*l**2 - 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 15. Suppose w + g = -3*w. Let a = w - -17. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1866 + 1861. Put t, 3, 2, -74 in decreasing order.\nAnswer: 3, 2, t, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42382 + -86326. Let d = t + 81439. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 165921379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/1152*-2)\/((-1)\/(-9))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 199*u**2 + 12*u - 22. Let x(f) = 2*f**3 + 397*f**2 + 26*f - 44. Let s(l) = -13*k(l) + 6*x(l). Differentiate s(g) with respect to g.\nAnswer: -3*g**2 - 410*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 10. Let g = -16 - -12. Let x be a(g). Let r be 0 - (-1 + 0 + x). Let w(p) = p - 1. Determine w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oabtobooolnnllobo. Give prob of sequence ot.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*x - 4, 2*x - x - 3 = r. Let s(c) = -15*c. Let m be s(r). Suppose 4*l - 65 = 2*f - m, -62 = -4*l - 2*f. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r + z, 5 = z + 9. Suppose -o - 87 = -5*x - 0*x, 2*o + 55 = 3*x. Let s = x - r. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 5*k + 5. Determine y(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 16*k**2 - 13*k + 36. Determine g(-17).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.7 and -374777.\nAnswer: -3635336.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g + 5. Let z be n(0). Let v = 7 - z. Let h(b) = -b + 2 - v. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 535 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 3. Let r = j + -0.3. Let l = -267.4 - -267. Put r, l, 0.3 in decreasing order.\nAnswer: 0.3, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*7\/(-9)*(-54)\/2709\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50101181419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*v**5 + 55464*v**4 + 1572430*v**3 + 13667284*v**2 + 37580584*v + 32181744 = 0. Calculate v.\nAnswer: -71\/6, -2, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 17599 = -74071. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(0 + -3) + 3 + -39. Is b smaller than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10517475 and 816990?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 13) to base 12\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.208 + -0.672319355.\nAnswer: -0.880319355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5398*d**2\/9 - 5662*d\/9 + 88\/3 = 0.\nAnswer: 132\/2699, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(-6030)\/938?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*k + 4*a - 2, -2*a + 6 = -2*k. Let g(y) = -y. Let o(h) = -39*h - 2. Let v(r) = 2*g(r) + o(r). Is v(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/5 + (-30)\/(-25). Suppose 2*f = -p + 7. Suppose 3*a - 23*n - 14 = -19*n, -2*a + 4*n = -8. Solve f*r - a = -0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(847))**2 + -1.\nAnswer: -22*sqrt(7) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129357?\nAnswer: 883, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (115159\/6138 - -2)) + (-16)\/72?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16605*b - 350 = 16619*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 1.684\nAnswer: -20.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -188, -187, -180, -161, -124?\n\"Answer: h**3 - 3*h**2 + 3*h - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 475 and 2825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5019, 10039, 15059?\n\"Answer: 5020*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20760.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 + 11 = 0. Factor -16 + 2*g**3 + g + 4*g**2 + w*g - 8*g - 6*g.\nAnswer: 2*(g - 2)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*a - 25*a - 30*a + 2916 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 546639.\nAnswer: -2\/546639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28652967523 + 0.\nAnswer: 28652967523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35\/2? (a) -1\/4 (b) 0.808 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 + -66. What is the smallest common multiple of 22 and h?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -5 (c) -1691\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119630 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/3 + 284*p\/3 - 3008 = 0.\nAnswer: 48, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 15 = 4*h. Suppose 2*z = -h*z + 725000. What is z rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 124*m - 1833. What is x(-37)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -d + 27. Let g be (1 - (-6)\/(-4))*-4. Suppose -6*x + d = -g*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 + -11 + 50 - -42\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7502, -7505, -7508, -7511?\nAnswer: -7514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 8, -1\/5, 1599, -4\/7.\nAnswer: -4\/7, -1\/5, 8, 11, 1599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 162*d + 3 + 162*d. Let q(h) = -4*h**2 + 13. Give -6*q(y) + 26*w(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -886.8775 rounded to the nearest integer?\nAnswer: -887","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.32 + -9.36. Let r = d - 18. Which is smaller: -2\/9 or r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48015307 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 28) + (-34)\/(-272)*40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((64\/20)\/4)\/(12\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 1. Let z(j) = 5*j. Let s be (2 + 2)*(-2)\/(-4). Let c(b) = s*l(b) + z(b). What is c(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -291.9 - -354.9. Sort b, 1, 0.3, 6.\nAnswer: 0.3, 1, 6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0*c + 31*c - 2.\nAnswer: 31*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 4 + 0)*(-k + 0*k + 2*k) - k - k + 3*k + 0 - k + 0)*(62*k + 17*k - 39*k)*(9*k - 25 + 25) to c*k + h + g*k**2 + b*k**3 and give b.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 35?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7930\/305*1\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357500779.\nAnswer: 357500779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132956100*q - 28*q**3 - 132956100*q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.107 + -378428159438.\nAnswer: -378428159437.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 919908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2421)\/(-1638) - (-1 + 3). Let s = 2\/91 + d. Sort -12, 0.4, s, 0.1 in descending order.\nAnswer: 0.4, 0.1, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + u + 2 = 0, 664*s - 11 = 665*s - 2*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 32596.69 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -33090000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153)*-3 - sqrt(153)))\/sqrt(9)*-2.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 5138 = -7990. Suppose 3*y + 15 = 0, 2*t - 4*y = 185 + l. List the prime factors of t.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 3. Let x = 9 - y. Let d = -15 + 11. Put x, 1\/2, d in decreasing order.\nAnswer: 1\/2, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x + 4. Suppose m - 3*m = 0. Suppose -6*c + 6 + 24 = m. Suppose -c*f = -3*f + 14. Calculate p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2635*b + 38381 + 28263 = -70376 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 29661200.1 minutes?\nAnswer: 2942.579375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.89 to one decimal place.\nAnswer: 104.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z**2 + 28*z - 30. What is c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 1. Let f be g(-3). Suppose 4*n = 14 - f. Solve n*t + 3 = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 799? (a) 0.06 (b) 1 (c) 2 (d) -1 (e) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 32d31?\nAnswer: -32d2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, y: 3}. Give prob of picking 1 y and 1 i.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142.716 + 0.284. Let f = 140 - n. Let g = -0.3 + 0.1. Sort 5\/4, g, f in descending order.\nAnswer: 5\/4, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*b**3 - 98785*b**2 + 82295*b + 16460.\nAnswer: 5*(b - 3292)*(b - 1)*(6*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207643?\nAnswer: 207643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 11*c**2 + c - 6. Let i(z) = -12*z**3 - 1. Let d be i(-1). Let q be p(d). Suppose 4*k - 2*s - 2*s = 56, q*s + 10 = 0. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -400864*f. Let x(d) = -3*d. Determine x(s(h)).\nAnswer: 1202592*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*q**3*z + 7*q**3 - 3*q**2 + 2187*q + 4367*z**2 + 2 with respect to z.\nAnswer: -7*q**3 + 8734*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602.9405 rounded to the nearest ten?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-2352)*(-540)\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4233476*c*p - 13826*p - 86 wrt c.\nAnswer: -4233476*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5247 and 37\/69377?\nAnswer: 624393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + 15. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*q + 19 = 0, 2*q = 5*t + 6*q + 7. Suppose -j - 12 = 2*j. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d. Let t(w) = -5*w - 905709. What is f(t(l))?\nAnswer: 25*l + 4528545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -235655000 rounded to the nearest one million?\nAnswer: -236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222344737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5754761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -89. Let k be (2 + 190)*((-40)\/16 + 3). Calculate the highest common factor of k and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**2 - z + 3 - 13*z**2 - 5 in the form c*z**2 + f*z + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 194, 386, 706, 1196?\n\"Answer: 7*x**3 + x**2 + 54*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 226, -2140162 in descending order.\nAnswer: 226, 5, -2140162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -29*k - 131. Let p be h(-5). Suppose 0 = -5*f + p*b - 12*b + 708, 4*f = 2*b + 566. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/30)\/(2\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*l - 32, 15*l = -3*a + 18*l + 39. Solve 0 = -24*p + a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(133)*-2 + sqrt(133) + -2*sqrt(133)*1)\/(sqrt(847)*-2*-5).\nAnswer: -4 + sqrt(19)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from ullsuussss?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -21 (b) 2\/3 (c) 4 (d) -2032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06189406 and -2701172.\nAnswer: -2701171.93810594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 2505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/5 smaller than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 1, k: 2, a: 1, o: 1}. What is prob of picking 1 n, 1 o, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4966572 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -13*q**8\/336 - q**5\/20 - 19*q**2. Find the third derivative of u(x) wrt x.\nAnswer: -780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/12565270 and -91\/459705?\nAnswer: 37695810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 4. Let o be h(3). Suppose -z + 7 = -2*c, -o*c = -2*z + 4 + 15. Let p be c\/(60\/(-9)) - 0. Put -0.4, p, 1\/3 in decreasing order.\nAnswer: p, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*c - 2*c + 0*c)*(3 - 1 + 0) + (-2 + 6 - 2)*(-2*c - 3*c + 2*c))*(-128*c**2 + 2 - 133*c**2 + 263*c**2 - 2*c) to u*c**3 + x*c + n*c**2 + s and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1375)\/sqrt(5) + (sqrt(132) - (1*sqrt(132) - sqrt(132)))\/sqrt(12))**2 - ((sqrt(11) + sqrt(11) + -5)*-6 + 3 + sqrt(11)*2).\nAnswer: 10*sqrt(11) + 1947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 93. Suppose -3*o + z - f*z - 7 = 0, -4*o + 20 = -2*z. Suppose n = -m + 4, -2*n = -m - o*m + 22. Solve -2*q + m*k + 0 = 8, 3*q = 5*k - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 4. Let g be a(4). Let t(h) = -h + 11. Let l be t(g). Find the third derivative of 8*u**2 - 5*u**2 + l*u**3 + 3*u**2 wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 + -12?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6) + 6 + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*q*t**2 - d*q - 358*d - 74091*q*t**2 + q*t - 104*q wrt t?\nAnswer: -2*d*q - 148182*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 187 = -257 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -6*y + 5*y + 12, u - y - 3 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhl when three letters picked without replacement from {l: 5, h: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -19. Let g(w) = -w**5 + w**4 - w**2. Let t(a) = -14*a**5 + 6*a**4 - 2*a**2. Let p(n) = s*g(n) - t(n). Find the third derivative of p(y) wrt y.\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14501 * -63547\nAnswer: -921495047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1578108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 521 - 175 = 0. Suppose -4*g = -j - 52. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50\/(-5) + 4 + 681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 86 = -114 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -30*s - 26*s - 35*s + s**2 + 91*s. Suppose -40 = -0*u - 5*u. Let j(i) = i - u*i - 5*i. Calculate c(j(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + d - 2 + 14*d - 708 + 708 + (-1 + 3 + 0)*(-1 + 1 - d).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2217 - 2209. Let y(d) be the third derivative of d**6\/120 - d**5\/12 - 13*d**4\/24 + 5*d**3\/3 - 2*d**2. Is 14 a factor of y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -2*j - 5*x, -2*j - 364 = -6*j + 4*x. Suppose -152 = -2*t + 50. Let y = -88 + t. What is the highest common divisor of j and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15050.\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/6)\/(2\/3). Let n(l) = 3 - 8*l**v - 4*l - 3 + l. Let b be n(-6). What is b rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 17*y + 30. Let i(p) = -p - 2. Let a(c) = -6*i(c) - r(c). Factor a(v).\nAnswer: -(v + 2)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6)*3*234. Suppose -3*l - 2*v = 446, 8*l = 13*l - 4*v + 714. Let n = l + z. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:38 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(80) + 5)*-2)**2.\nAnswer: 240*sqrt(5) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54, -17, 40, 123, 238, 391, 588?\n\"Answer: m**3 + 4*m**2 + 18*m - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44 + 61 + 18 + (-4 + 2 + 0)*(3 - 3 - 1))*(2 + v + 2*v - 2*v)*(-4*v + 4*v - 5*v) to w*v**2 + n + u*v and give w.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:01 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -759 * 0.06225.\nAnswer: -47.24775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20632, 41266, 61902, 82540?\nAnswer: 103180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*s = -158*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 2\/1479, -2\/5, -4 in ascending order.\nAnswer: -4, -2\/5, 2\/1479, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2 + 5*a - 5. Let y(c) = 6*c**2 - 4*c + 4. Calculate 4*l(n) + 5*y(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*q**2 + 0 - 224\/15*q.\nAnswer: 2*q*(q - 112)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2331, 4508, 6685, 8862?\n\"Answer: 2177*a + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 2. Let p be i(-3). Suppose d + 36 = p*d. Suppose 1 = -j - 4*a + 29, -4*a + d = -j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1485, -1070, -659, -252, 151, 550?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -439.00666 + 439. Round n to 4 dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 12*j**2 + 10*j - 9. Let l be a(-11). Suppose 4*u + 5*b - 23 = 0, -l*b + 1 = u - 1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -5 (b) 0.1 (c) 100.82 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let b = h + 71. What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 50.\nAnswer: -41\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = -4. Determine b so that 1 - 5*b**3 - 6*b**2 - 1 + 11*b**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 + 393*p**2\/2 + 13065*p\/2 + 12675\/2.\nAnswer: 3*(p + 1)*(p + 65)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-8) - (4\/92 - (-186)\/(-46)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6*m - 2*m)*(0*m + 0*m + 3*m + (0*m - 2*m + 3*m)*(4 + 2 - 4)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 15 + -170 + 167?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(220\/272) + 5 - -9.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/352*-20*(-4)\/10.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 999\/61?\nAnswer: 999\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 35 = 19. Solve 3*d + 0*d = -i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 greater than or equal to -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17472392 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306) + sqrt(34))\/sqrt(2) + (sqrt(17) - (-2 + sqrt(2057))) + 5.\nAnswer: -6*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 27\/6)*-10. Let f = 14 + -28. Let j = o + f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.72 take away 0?\nAnswer: 3.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0649 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.849437 + 714.194?\nAnswer: 712.344563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*y = -202 + 70. Solve -q - y*q - 9 = -3*g, -4*g = -2*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, h: 5, q: 3}. Give prob of sequence qqh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by (40\/12 + -3)*63.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -254, -1, -2.\nAnswer: -254, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -15. What is the highest common divisor of l and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (216\/(-15))\/(1\/(-10)). Suppose 2*b + 33 = -b. Let m = b + 27. What is the highest common divisor of m and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*j = -r - 29, -3*r + 4*j = 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*v - 50*v - 45*v to i + k*v and give k.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2916662826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154225 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10002231 (base 4) to base 8\nAnswer: -40255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*d + 3 - 5 + 438*d.\nAnswer: 537*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -15*t - 3. Suppose -3*z - 2*o + 4 - 7 = 0, o = -3*z - 3. What is the smallest common multiple of 36 and x(z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54326, 108648, 162970, 217292?\nAnswer: 271614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 154*x**2 - 93*x**2 - 60*x**2 + 83*x**2 - 108*x**2.\nAnswer: -338*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 576\/(-42) - (-4)\/(-14). What are the prime factors of 8\/c - 137\/(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 7*s**3 + 8*s**3 + 0*s**2 as d*s + a + i*s**2 + u*s**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 411 + 59. Does 34 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:44 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 0*t = -10*t + 3*l + 15, 4*t - l - 35 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgsrsssxwkssgxsx. What is prob of sequence ws?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m + 12. Let t(i) = -10*i - 184. What is the remainder when t(-23) is divided by p(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88490*l**2*n**2*z - 155*l**2*n*z - 6*l**2 + 11*l*z wrt n?\nAnswer: -176980*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -103, -17, 145, 407, 793, 1327?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/8*(-220)\/330?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**6\/10 - b**5\/20 + b**4\/8 + b**2\/2 - 8. Let r(u) be the second derivative of k(u). Is 7 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -111791? (a) 3 (b) -1 (c) -4\/37 (d) 5 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 1 (c) 29 (d) -11.93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 - 59*t**2 - 19*t**2.\nAnswer: -113*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z - 11*z + 1501. Let p = -14 - -34. What is the remainder when z is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(5*(1 + sqrt(25)\/sqrt(5)) - (1 + (sqrt(5) - (5 + sqrt(15)\/sqrt(3))))**2).\nAnswer: -59 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10076*l**4 - 4*l**3 - 18568184 wrt l.\nAnswer: -40304*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 226*c + 273*c + 1314*c - 745*c + 2931*c. Let g(o) = -2*o**2. What is g(y(v))?\nAnswer: -31984002*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -608, -980, -1354, -1730, -2108?\nAnswer: -2488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -21*s. Let z(q) = -q + 13. What is i(z(a))?\nAnswer: 21*a - 273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186 - -190. Suppose -2*i + 12 = i. Solve 3*r + 2*r + 23 = t*z, -i = z + 2*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/42*-1*11 and 131\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvrb when four letters picked without replacement from {p: 1, r: 2, b: 1, m: 1, v: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4*y + 3*s**3*y**2 - 42*s**3*y + 183*s**2*y**2 + 66*y**2 wrt s?\nAnswer: -72*s*y + 18*y**2 - 252*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2741424 + 121?\nAnswer: -2741303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (3 - -2 - 5)) + (-13 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/25 (c) 3\/4 (d) -1.5 (e) -18 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*o + 59*o - 72 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let t(f) = -42*f + 33. Let m(z) = -66*p(z) - 2*t(z). Let s(b) = -b**2. Calculate s(m(o)).\nAnswer: -324*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 23 (b) 0.4 (c) 356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(28)\/sqrt(4)*-2))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 11*v. Let f be (-3*(-3)\/(-30))\/(1 + v). Which is the biggest value? (a) 4 (b) f (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -187 + 572. What is the highest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 14 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*c*d**3 + 34*a**3*c*d**2 - 2*a**2*c + 5*c*d**3 - 7*c wrt a?\nAnswer: 6*c*d**3 + 204*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, 8, 979\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739532990.\nAnswer: 2, 5, 7, 41, 131, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2254431 divided by -751477\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -0.08 (c) 22 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -12) + 9 - (-16 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74006 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 4*h - 7*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 52, 144, 272, 436?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and -4129?\nAnswer: -9083.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 + 5127684911?\nAnswer: 5127684910.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(704) + -2*(sqrt(704) + 3))**2.\nAnswer: 96*sqrt(11) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*a + 13, 40*f - a + 224 = -31*f + 27*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 762678.9t in milligrams?\nAnswer: 762678900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (-12)\/(-9) - (-1059)\/9.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 16.32611mm?\nAnswer: 0.01632611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-5\/2))\/l)\/l)\/(l*l**13*l)*(l\/(l**(-4\/13)\/l)*l)\/(l*l*(l*l**(-12\/11))\/l*l) assuming l is positive.\nAnswer: l**(-4891\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1008) + sqrt(1008) + 5 - (3 + sqrt(1008))*-5)**2.\nAnswer: 3024*sqrt(7) + 49716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2366 and 4447573.\nAnswer: 62266022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112141905 to 3 decimal places.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-230)\/(-14) - (-4)\/7. Suppose -n - 25 = 4*g, 3*g + 2*n - 2 + 22 = 0. Let y = g + w. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/165 and -77\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 591127.5 decades in centuries?\nAnswer: 59112.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4028934 - -4\nAnswer: -4028930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 39. Let q = h + -11.9964. Round q to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1975, -7897, -17761, -31561, -49291, -70945?\n\"Answer: a**3 - 1977*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 336\/189*(-81)\/(-18). Let j(q) = -1 + 15*q - q - 2 + 3*q**2. Let h(m) = -2*m**2 - 9*m + 2. What is w*h(b) + 5*j(b)?\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(0 - 6\/12) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 39. Calculate k(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/2*724\/(-8145)*6.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345299.7ml to litres.\nAnswer: 345.2997","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4024 in descending order.\nAnswer: 4024, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -566 by -668696.\nAnswer: 283\/334348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/5))**7*(x*(x**(5\/4)\/x)\/x)\/x**(1\/9) assuming x is positive.\nAnswer: x**(781\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1871, -1929, -2003, -2099, -2223?\n\"Answer: -y**3 - 2*y**2 - 45*y - 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 1:52 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13 = 5*l, -4 = -3*g + 6*g - l. Let q(b) = -2*b**3 - 5*b**2 - 5*b - 7. Let s(r) = r**3 + 3*r**2 + 3*r + 4. What is g*q(y) - 5*s(y)?\nAnswer: y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3574326.5 rounded to the nearest 1000?\nAnswer: -3574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/1697 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 966517\/10663950 - 247\/3091. Find the common denominator of o and -34\/1035.\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 130*x = 300. Solve -7 = -t + 36*f - 40*f, -3*t - x*f = -12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2748, -5543, -8332, -11115, -13892, -16663?\nAnswer: -19428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6268 and 595450598?\nAnswer: 3134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26306 - -164?\nAnswer: 2646a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 0*z**2 - z**2 + (41*z + 21*z + 18*z)*(-6*z + 3*z + z) + (6 - 6 + 5*z + (3 + 2*z - 3)*(-1 - 4 + 4))*(-z - 2 + 2).\nAnswer: -165*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96 - 78 - (14 + 36)) + -77?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56 - 2)\/(1 + -3). Solve -25 = -5*z, -z + c = 2*n + 4*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2946.89 + -2962. Let a = 0.11 + t. Is a less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 2. Let i(o) = o - 1. Let b(f) = f**2 + 7*f - 7. Let a be b(-9). Suppose -5*j = y + 23, -j - 4*j - a = -3*y. Give j*i(t) - u(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + 5 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58107, -3, 5 in descending order.\nAnswer: 58107, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117099 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04969 to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3549901 = -46*j + 2036247. Suppose -13*g + 46899 = -j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 708615892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 25. What is j(17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:23 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 5*b - 2*b)*(-2 - 23 + 8)*(-3 + 2 - 1) as t + k*b and give k.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -380579, -761091, -1141555, -1521971, -1902339, -2282659?\n\"Answer: 24*s**2 - 380584*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 b when three letters picked without replacement from kkbkbeee.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15) + (-36)\/(-10). Let u be (9\/(-6))\/((-3)\/w). Solve -5*l + 5 = 5*d, 4*l + 5*d - 8 = u*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3575 * 53.\nAnswer: -18.9475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3210 + -24?\nAnswer: 31b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31038865, 62077728, 93116589, 124155448, 155194305?\nAnswer: 186233160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -r - r. Let z be (4 + r - -3)*3. Let j be (-1 - -1) + z\/(-2). Which is the third smallest value? (a) -1 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 1 + 4)*((4*y - 2*y - y)*(-2 + 4 - 4) + (-1 - 16 + 2)*(0*y + y - 3*y)) to the form h + i*y and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(1\/3))\/(342\/(-76))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 152 + 167 = -l, -3*l = -z + 85 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 9*a + 2 = -13*a, 5*d - a = -7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {u: 4, t: 2, i: 2, m: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -43910.57 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a kilometer in meters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -23 - (-8 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3, -249*l + 251*l + 5*d = -53 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 8*w + 13. Let s be j(-11). Let f be (-8)\/s*5 + (-8)\/(-2). What are the prime factors of f\/(-5)*40\/(-16) - -130?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m*q**2 - 2*m*q*r**3 + 6*m + 5*q**2*r**3 - q**2*r + 8*q*r**3 - 4*q wrt q?\nAnswer: -10*m + 10*r**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -201*z - 19153. What is a(-93)?\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*p + 3*p + 5*w, -5*p = 3*w - 133. Suppose 0 = -p*t + 42*t - 835523. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x = 26*x + 17*x - 48. Sort x, 1, 416 in ascending order.\nAnswer: 1, x, 416","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-42)*1*9\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1242 - 465. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8. Suppose o = -4*z + 2*p - 24, -p = z + 2 + 1. Let l(t) be the first derivative of t**3\/3 + 2*t**2 + t + 1. Determine l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 15)*(-4*f - 2*f**3 + 3*f + 3*f).\nAnswer: 30*f**3 - 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276*y**4 + y**3 + 50*y**2 - 23628*y + 1?\nAnswer: 3312*y**2 + 6*y + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*p - 14*p + 201 + 373 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d - 286*d - 10*d.\nAnswer: -314*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(0 + -86)\/(2 - 11 - -7). Sort -4, 5, -3, t in descending order.\nAnswer: t, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169 (base 12) to base 10.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 310400, 6\/5, 5?\nAnswer: 310400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*d + 990 = -1706*y + 1708*y, -y + d + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (1 + sqrt(125) + sqrt(125))*6) + 3 + -5*(sqrt(125) + -1)*-1)**2*-4.\nAnswer: -144756 - 5440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*o = 372*o + y + 777, o - 4*y + 792 = 0. Put 0, -5, o in descending order.\nAnswer: 0, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 + 19431*n - 19418*n + (2*n + 3*n - 6*n)*(-14 - 1 + 1).\nAnswer: 27*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 e when three letters picked without replacement from {l: 2, t: 1, a: 2, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose 2*v - 6 - 10 = f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 55 - 28)*(-3 + 3 + 2)*(-1 + 2 + 1)*(3*j + 0*j - 2*j) as z + k*j and give k.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 - 225*v**2 + 218*v + 72. Calculate a(44).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9353, -37899, -85637, -152567, -238689, -344003, -468509?\nAnswer: -612207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w - 11*w - 2*w**3 + 3*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 + 4649004*o\/5 - 1801103182668\/5.\nAnswer: -3*(o - 774834)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*k = -9*o - 30, 3*k = 5*o + 30. Let x be (-52)\/(-12) + (-4)\/o. Solve 11 = x*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 2*c - 1. Suppose 4*m = m + 5*k + 10, -2*m = -5*k - 10. Let p be (1 - 9) + -1 + m. Let t(d) = -d**2 - 10*d - 11. Let n be t(p). Give v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 22 = 3*h + 17*m, 0 = -m + 2. Do -66\/7 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4672536721.\nAnswer: 31, 4862161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -34.3?\nAnswer: 583.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 30*g = 4. Let i(u) = 5*u**3 + u**2 - 5*u. Let t be (-17)\/(-5) + (-2)\/5. Let p(l) = 5*l + t*l - 4*l - l**2 - 4*l**3. Determine g*i(z) + 3*p(z).\nAnswer: -2*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -5*g + 2*r, -8*g - 4*r - 35 = -9*g. Factor 22*p**3 - g*p**3 + 94*p**2 + 760*p - 4 + 4 - 2969*p.\nAnswer: -p*(p - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 257805945, 515611900, 773417857, 1031223816, 1289029777, 1546835740, 1804641705?\n\"Answer: p**2 + 257805952*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*i - 1830 = -1495, -v + 5*i = 89 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 89652 divided by -1446\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Solve -a - o*n - 2 = -6, 2*a = -3*n - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211303 (base 7) to base 8.\nAnswer: -107234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(4 + (-18890)\/4725). Let u be 3654\/a + -1*4\/30. Put 19, 4, 5, u in ascending order.\nAnswer: u, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, 1962765 in decreasing order.\nAnswer: 1962765, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122\/7 equal to 159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 10. Let n(p) = -9*p + 3759. Determine -5*d(b) + n(b).\nAnswer: b + 3709","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -834, -3, -5, 1, 2 in increasing order.\nAnswer: -834, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 6. Suppose -3*w - 3 = -9. Differentiate -2 + 5 + 0*q**n + q**w wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000214 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 7 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3285*x**2 - 3288*x**2 - 3287*x**2 - 1 + 9860*x**2 + 7*x - 3*x**3 in the form k + r*x**2 + c*x + l*x**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 - 3*s**2 - 5*s + 3. Let b(v) = 5*v**3 + 2*v**2 + 4*v - 2. What is 3*b(g) + 2*i(g)?\nAnswer: 3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-18)*(-133)\/(16625\/150)*(-4)\/12.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 32390.\nAnswer: 129560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -823645\/13 or -63357?\nAnswer: -823645\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/14*2*(-5)\/30. Let n = 17 - 12. Put n, u, 4 in decreasing order.\nAnswer: n, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -60*d + 10. Let y be l(0). Solve y*b = 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1080 = 5*q, -5*q - 2*a = -7*a - 1080. Calculate the remainder when q is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375 - 3*t**3 + 2*t**3 + 426 + 3*t**3.\nAnswer: 2*t**3 + 801","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 197\/302251 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 = 3*l + 4*c, -4*l - 5*c - 3 = 0. Suppose l*u = -0*u. Suppose 4*d - 17 - 35 = u. Calculate the remainder when 24 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {x: 1, y: 2, h: 3, s: 3, n: 7, r: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 - 0.4. Let u = -2 - -4. Let n be 2\/(u + -6 - 1). What is the nearest to n in j, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 8) in base 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 - 596341*z + 596341*z.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -423 + 432. What is the remainder when 25 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -3, 1.4, -0.4, -284, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27632 take away -1597?\nAnswer: 29229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, x: 1, c: 3, t: 2, z: 1}. Give prob of sequence zt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -0.3, 11, -3\/53 in descending order.\nAnswer: 26, 11, -3\/53, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 - 2*v**2 + 3*v**2)*(4 - 2 - 67*v - 75*v) in the form c*v**3 + u + y*v**2 + m*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -20 (c) 0.4 (d) 12 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1073738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 21, -1 in decreasing order.\nAnswer: 21, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*-1)\/(-10 - 795\/(-80))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-5) - -3 - (-1 - 1). What is the remainder when 963 is divided by 0 - -3 - 2 - (a - 68)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2865 - 720 + 6302*n - 716 - 714 - 715.\nAnswer: 6302*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4053*y**3 + 4057*y**3 + 0*y + 0*y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 641952523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67\/316 - -3\/79. Which is the nearest to -0.1? (a) -0.6 (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 352*v - 50. Let g(j) = 2*j. Give g(k(w)).\nAnswer: 704*w - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000011100000100010 - 0?\nAnswer: 10010000011100000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -65*t**5 + 2*t**3\/3 + 594*t + 980. Differentiate j(i) wrt i.\nAnswer: -1300*i**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.525076 to 2 dps.\nAnswer: 7.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*h + 329 = 401, -3*w - 4*h - 55 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7 - 4.8. Put q, -6, 0.2, 4 in ascending order.\nAnswer: -6, q, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9779 = -5*b + 11001. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 0.5, 185, -0.02 in increasing order.\nAnswer: -4, -0.02, 0.1, 0.5, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 101*x**2 - 194*x - 363. Give h(99).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*n = -n. Suppose d + 0*d + 23 = -5*s, n = -4*d + 5*s + 33. Let i(b) = 93*b**3 - 5*b + 5. Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 34*c - 337. Let o be h(10). Let q be -2*(-4)\/(-28)*-14. Put q, -14, o in descending order.\nAnswer: q, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -285693.6 to the nearest 100.\nAnswer: -285700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 31*t - 646. Give o(17).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h - 9. Let z(b) = b - 1. Let y(i) = c(i) + z(i). What is the derivative of y(d) wrt d?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(190) - (-3*sqrt(190) - sqrt(190)))*1)\/(5*(sqrt(10) - (sqrt(10)*3 - sqrt(10)))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(2) - (sqrt(2) + sqrt(2)*-3)) + sqrt(162)*-2 + sqrt(22)\/(sqrt(11)*-2) + -2 + (sqrt(6)\/sqrt(3) + -1 - sqrt(14)\/sqrt(28)))**2.\nAnswer: 36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5. Let s = l - 2. Let i be (-7)\/(-147)*-6 - 26\/(-140). Which is the third smallest value? (a) 4 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24504 - -27100. What is the smallest common multiple of 590 and p?\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -383782 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {k: 4, u: 2, j: 3, t: 1, h: 1, w: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -5*g + 5*d, -5*g + d - 69 + 308 = 0. Suppose -o - g = o. Let b = o + 134. What is the greatest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + sqrt(5) + (3*sqrt(5)*3)**2 - (-5 + 2*sqrt(405) + 2*sqrt(405)*6)**2.\nAnswer: -78994 + 1261*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 - 133. Let n be (-2282)\/c*3\/(-2). Let a = 330 + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2462 + -685. What are the prime factors of h?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-6))\/(14\/42).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010916576 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -5 (c) -9 (d) 1\/9 (e) -1.92 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*y + 66851 - 66608 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4625967 times -2\nAnswer: 9251934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/18 - ((-1)\/2 + (-1071)\/(-1350))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022 (base 5) to base 7.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3 - 195691*u**2 - 2935564*u - 5088356 = 0.\nAnswer: -13, -2, 195706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 7 - 19*d**3 + 18*d**3 + 1 - 272*d + 2 - d**2 to o + q*d + g*d**3 + s*d**2 and give q.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 + 10*b + 7. Suppose -10*d - 10*d = 3800. Let x = d - -183. What is p(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4201617, -5 in descending order.\nAnswer: 0, -5, -4201617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360987 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3 - 3)*(-p**2 + 2*p**2 + 2 - 1 + (5*p - 5*p + 4*p)*(-2*p - 4*p + 4*p) + p**2 + 3*p**2 - 2*p**2).\nAnswer: -5*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-3))\/(-3)*-158. Let m = -566 + q. Let g = 859 + m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u*w**3 + 97081*u*w**2 + 2*u*w - 4*u + 12060344*w**3 - 4*w**2 wrt w?\nAnswer: 6*u + 72362064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*34951\nAnswer: 3495.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-39) - (-134)\/26. Solve 0 = w + 4*r - o, r + r = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2127 divide 785102827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 2514820?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7001, -13999, -21009, -28037, -35089, -42171, -49289, -56449?\n\"Answer: -b**3 - 6991*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31601 - -32693. What is the highest common factor of 525 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 1281760.\nAnswer: 8972320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17127815\/56 + -6650750\/21. Let c = p + 10844. Find the common denominator of c and -71\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 588, 536, 396, 126, -316?\n\"Answer: -7*x**3 - 2*x**2 + 3*x + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-3)\/(6\/(-10)). Suppose -8*u + b*u + 530 = -5*c, 3*u + 3*c - 498 = 0. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - 1) - (-230 + (-230 - -457))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:55 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*4*-2).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Suppose -t = l - 4. Let x(f) = -2 - f**2 + 2*f**3 - f - f**3 + 2*f**2. Determine x(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321965 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4706562, -9413136, -14119710, -18826284, -23532858, -28239432?\n\"Answer: -4706574*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931 is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9553699 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from fcccccoocccccfccccfc?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 369, 317, 265?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1 - 12\/9). Let a be 180\/27*(-6)\/(-4). Suppose -a - 2 = -l*n. Solve 0 = 3*g + n + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) + (-43)\/(-9). Let m(w) be the second derivative of 0*w**3 - 3\/20*w**b + 3*w + 0*w**4 - w**2 + 0. Differentiate m(v) wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5303259 or -5303257?\nAnswer: -5303257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.24, 0.2, 0.1, -12, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*d = -0*t + 90, -4*t - 2*d + 90 = 0. Let c = 11 - 4. Let h = 55 + c. What is the remainder when h is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3640 + -3638. Put o, -32, -2 in ascending order.\nAnswer: -32, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -33*n**3 - n**2 + n + 1. Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*z - 68077 = -93397 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61\/4 - -31\/2. Let n(g) be the third derivative of 0*g**5 + 0 - b*g**4 + 6*g**2 + 0*g**3 + 0*g + 1\/15*g**6. What is the second derivative of n(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65518021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-24))\/(1\/2). What is the second biggest value in 0, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 280375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/12 + 7*r**3 + 333*r**2\/2 + 819*r + 4563\/4 = 0.\nAnswer: -39, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*3*sqrt(1216)*-4*-5)**2.\nAnswer: -26265600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 544 + -1059. Which is smaller: p or -514?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1869 - -9612\nAnswer: 9612.1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a - 6. Let x = -8 + 12. Let l = 0 - x. Is m(l) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0*q**2 + 3*q - 6*q**2 - 6*q. Let p(v) = v**2. Let g(z) = -c(z) - 5*p(z). Find the second derivative of g(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -192859*x**2 + 26*x + 11. Let h be d(7). Round h to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:46 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120010 - 1121110202?\nAnswer: -1122000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 776711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-5)\/4) + 17\/(1020\/168)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-3)\/(-6) - -17. Calculate the greatest common divisor of z and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*q + 4*q**2 - 48*q - 11*q**2 as c*q**2 + p*q + h and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651 - 213 = 112*d + 592 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -141*i - 18. Let o be p(-6). Find the third derivative of -828*s + o*s + 6*s**2 + 26*s**3 wrt s.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 4*u + 3*u)*(-u + 2*u - 2*u)*(5*u - 3*u - 3*u + (-2 - 2 + 3)*(8*u - 3*u - 3*u)).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 2, n: 2, d: 1, h: 1, x: 1}. What is prob of picking 4 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238022*b**2 - 830*b + 87 wrt b?\nAnswer: 476044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 155, 356, 741, 1370?\nAnswer: 2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -23*w**2. Let g(c) = -50*c**2 + 3*c + 8. Calculate g(f(s)).\nAnswer: -26450*s**4 - 69*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -15*u**3 - 6*u**2 - 7*u. Let b(r) = 10*r**3 + 4*r**2 + 5*r. Give -7*b(f) - 5*m(f).\nAnswer: 5*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -673\/996 + 3\/332. Let x be ((100\/15)\/(-5))\/(4\/6). Let p = -8\/15 - -1\/5. What is the nearest to f in -0.1, x, p?\nAnswer: p","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 {m: 2, y: 1, x: 7, h: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (sqrt(700)*-1)**2 + -3.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (3 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -290, -647, -1144, -1781, -2558?\nAnswer: -3475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/21 and -71\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47024345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a*l + 4*a + 51*l**3 + 17 wrt l.\nAnswer: -3*a + 153*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1296)\/10*(-3120)\/234. Are j and 1727 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*c + 2*c**3 - 16*c)*(-52*c - 49*c - 22*c) in the form a*c**4 + b + f*c**2 + v*c**3 + s*c and give a.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*w**2 + 150*w**2 - 172*w**2)*(11 + 4 + 2).\nAnswer: -1530*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 1\/76 (c) 0.5 (d) 0.4 (e) -5\/4 (f) 1 (g) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + o + 56. Suppose -j + o*j - 6 = 0. Does 26 divide (-125)\/(-4 - (j + -4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j = -4*r - 38*j - 12 - 4, -6*j + 4*j - 17 = 3*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 15*r - 10*r + 782. Let x(m) = -18*m + 5. Let p(l) = 161*l - 46. Calculate r*x(i) + 5*p(i).\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 141*h + 1162. Let d be u(-8). Solve -x + 37 = d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 742.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f*f*f)\/f)**10*f**(4\/3)*f**0*(f*f\/((f\/(f**(-2)\/f))\/f)*f\/f**(-1\/2))\/(f**(-1))**(1\/15) assuming f is positive.\nAnswer: f**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - 2*t**2 + 2*t**2 + (-2*t**2 + 0*t + 0*t)*(1 - 3 + 0) - 2*t**2 + 0*t + 0*t + (-t - t - 2*t)*(2*t + 0 + 0).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2b801?\nAnswer: -2b806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 22*k - 12*k = -131, -3*s + k - 62 = 3*k + 3*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.04, -1\/2, -0.3, 9\/40?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2987*w. Let p(d) = 18*d. What is p(r(g))?\nAnswer: -53766*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 + 3 = 0. Solve -4*o - 5*r + 8 = 0, -31 = n*o - 3*r - r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -560209*u**5 - u**4 - 11*u**3 + 90391284*u**2?\nAnswer: -33612540*u**2 - 24*u - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 6*s. Let a(y) = 5*y**2 + 2*y. Let j(b) = -7*b**2 - b. Let m(d) = -6*a(d) - 5*j(d). Determine -5*m(x) - 6*t(x).\nAnswer: 5*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8724*r - 13861. Is o(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + -1 - (-18 + 20). Suppose 5*n - 18 = s. Let g(i) = 3*i**2 + 2*i + 1. Let b be g(-1). Solve b*d = -4*q - 20, -n*d - 10 + 0 = 2*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 14*g - 263. Let j be c(-27). Determine d, given that j*d**5 + 83*d**2 - 93*d**5 + 75*d**3 + 30*d + 6*d**4 - 23*d**2 + 25*d**2 + 9*d**4 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = j + 3*a, -j - 44 = -5*j - 4*a. Let i be ((-7)\/(-28))\/(1\/8). Let c be 6\/(-12) - i\/(-4). Solve b + b - j = c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*g**3 - 3 + 5*g**3 - 2*g**3 - 2*g**3 + (-4 + 4 + g)*(-3*g**2 - 3*g**2 + 5*g**2) - 3*g**2 - 3*g**3 + 3 - 3.\nAnswer: -g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -31. What is the third derivative of 0*o**4 + 12*o**4 + 6*o**2 - 18*o**b wrt o?\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922*v**3 + 304*v**3 + 320*v**3 + 303*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2943 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5225822\/13 greater than or equal to -401985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 - 19*m + 1 to the form b + o*m and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 116928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -156. Suppose -4*f = -4*m - 5*f + 245, 0 = -3*m + 5*f + v. Suppose m = 3*z + z. Solve -4*w = w - z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 3*n**3 + 62*n + 2*n**3 + 0*n**2.\nAnswer: -n**3 + 62*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403412019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 14) in base 9?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/66 + 4\/11. Let k = 140 - 281\/2. What is the nearest to k in v, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*a = 5*f - 896, 3*a + 903 = 2*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -89\/7. Let h = -12.02 + 12. Let z = h - -4.02. Which is the biggest value? (a) d (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 24, 2\/3, 4\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Suppose 99 = -126*y + 129*y. Let c(t) = 51*t - y*t - 51*t. Give i(c(g)).\nAnswer: -66*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*g**3*r**3 - 2*g**3*z + 258*g**3 - 3758808*g**2*r**3*z + g**2*r**2 - 34*r**2 + 17*r wrt z.\nAnswer: -2*g**3 - 3758808*g**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-4 - -2)) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1631*h - 326. List the prime factors of f(2).\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10018541449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000501 to seven dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9691*s**2 + 22*s - 20*s + 6915*s**2 to t*s**2 + v + d*s and give t.\nAnswer: -2776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/(r\/(r\/(r**(-2\/7)*r*r))))**25 assuming r is positive.\nAnswer: r**(-300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y + 3930 = 60*y. Solve -396 = a - y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35459 divided by -44?\nAnswer: 35459\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1233951 and 157033?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6103265 to three decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38853 and 1152639.\nAnswer: 3457917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -5, 19, 2, 16.\nAnswer: -5, 2, 4, 7, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232.5 + 166. Let r = 66 + y. Let i = 0 + r. Which is the second biggest value? (a) -0.058 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007081 to 7 dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z - 10 = w, 4 = z. Let y be (1 - -1) + 0 - w. Let t = y + 14. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 + 597. Suppose -3*u + z = x, -5*u - x + 113 = -4*u. What are the prime factors of u?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9 = 3. What is the units digit of ((-18)\/12)\/((-3)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*t - 4*a, -30 = -2*a - 34. Solve 2*j = -4, j = -t*c + 5*j + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 + 165*t + 9. Let u(y) = 3*y**2 + 42*y + 2. What is -2*g(l) + 9*u(l)?\nAnswer: 13*l**2 + 48*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -100, -1, 1, 5, -4 in increasing order.\nAnswer: -100, -4, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 - -169.102. Let b = p - 0.09958. Round b to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12*h = 72. Suppose 0 = -2*i - 2*d + d + 393, 2*d = h. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 4*u - 4*u)*(0 + 2 + 0)*(-10 - 81 + 160) + (-5*u + 0*u + 4*u)*(-2 - 2 + 0) - 2*u - u + 0*u in the form m + p*u and give p.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -j + 2*n, -3 = -4*j - 5*n. Suppose -2*l + j = -l. Let i be 58\/7 - (-2)\/(-7). Solve -3*g + 14 = -4*c, -g + l*c - 7*c = i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -4348.6.\nAnswer: -4342.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 12. Suppose -c*p + 1 = -2. Let m = 11 + p. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5721139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 4 - 1) + 21. Let b be (-52)\/(-44) + (-4)\/k. Let y = 6 - b. Let d(m) = -m + 1. Let v(u) = 4*u - 3. Calculate y*d(s) + v(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -514 divided by 6\nAnswer: -257\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 4*u**2 - u**2)*(1 - 11*u**2 + 1 - 12*u**2 + 5*u**2 - 3*u**2 + u**2 + 2 + 0 + 0 - u**2 + (-u + u - 2*u)*(2 - 2 - u)).\nAnswer: 19*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*z**3 - 132*z**2 + 458*z**2 - 234*z**2 wrt z?\nAnswer: -1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2. Let g(w) = -3*w - 921. Give g(l(i)).\nAnswer: 18*i**2 - 921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 5*t**3 - 2*t - 9 + 10 + 2*t to the form j*t**3 + l + y*t + u*t**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 2. Let x be q(1). Put -4, x, -2 in descending order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -47 - 52 - 4*u + 101. Give w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 37, 103, 207, 355?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 - 792*p + 5518. Calculate n(7).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -363*w**4 + 8117 wrt w.\nAnswer: -1452*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20679762 divided by -26822\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 9. Let r be (15532\/(-528) - -29)*-12. Sort r, 3, n, 2 in ascending order.\nAnswer: n, 2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -4*s**2 + 1\/6*s**3 + 1\/20*s**5 - 8*s + 0 - 1\/2*s**4. Suppose 3*x = 2*x + 6. Determine a(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 + -1.9. Let u = -2.64 + f. Let x = u + 1.14. Is x equal to -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 62. Let s = l - 28.00234. What is s rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -148538, -297076, -445604, -594122, -742630, -891128?\n\"Answer: 5*q**2 - 148553*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 22959.8523s?\nAnswer: 0.03796271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**2 - 27*o + 65. Let i be m(-13). What is the highest common divisor of 149 and i?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -119*j + 137*j - 2*p - 208, 3*j + 3*p + 0*p = 18 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6 or -2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 31*k - 5016. Let n be a(88). Is -13\/683 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6186563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-40))\/((-2)\/25). Solve a*b + 12 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/30 + 186\/45. Let r be (3 + (-2 - h))\/(-1). Suppose 4 + 5 = r*y. Solve -24 = 3*a - 7*a - 4*l, -y = 4*a - 5*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.66 - 1.45. Let i = -0.21 + m. Which is bigger: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4370 is divided by 2175?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 10 + 16 = -31*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5059643117 and -0.29.\nAnswer: 5059643116.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1222969924, 1222969923, 1222969922, 1222969921?\nAnswer: 1222969920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1*(-10)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.754092 milligrams to kilograms.\nAnswer: 0.000000754092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2385 - 1636. Let n = 1042 - h. What is the remainder when n is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)\/(1\/1). Let n = 7 - t. Let m(r) = -r**2 + 9*r - 5. What is the units digit of m(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -60, -89, -120, -153, -188, -225?\n\"Answer: -g**2 - 24*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 4*s + 45 + 0*s.\nAnswer: 2*s + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 16 (b) -5 (c) -231 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 9, 2*b + 35 = 2*m - 9. Suppose 5*q + 100 = 375. Let o = q + b. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - 13842*n + 194784. Calculate g(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from pggmggmngmm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/(6\/(-75)*5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*k + 97*k - 148*k - 190 with respect to k.\nAnswer: -177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose 2*j + 10 = 0, -3*j = 4*z - 0*j - 5. What is the smallest value in -4, i, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*q**5 + 1371*q**2 - 14*q - 26*q + 40*q wrt q?\nAnswer: 7320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 0 + 0*x - 2 - 5. Let b be h(5). Let w = 16 - 19. Let p(s) = -2*s - 3. Let l(m) = 2*m + 4. Determine b*l(c) + w*p(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 10. Calculate the remainder when w is divided by ((-30)\/(-8))\/(10\/40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((6\/24)\/(3\/3)))\/2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 26*d + 74. Let u be r(23). Suppose 5*m = u*j + 85 + 230, -5*m + j + 319 = 0. What is the remainder when 171 is divided by m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -95187, -190335, -285483, -380631, -475779?\n\"Answer: -95148*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)\/(o*o*o*o**1*o)*((o**(1\/2)\/o)\/o)**(2\/19) assuming o is positive.\nAnswer: o**(-1040\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 3*h + 1 - 756*h**2 - 5*h - 1 + 980*h**2.\nAnswer: 224*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -32. Let q = 25 + o. What is the lowest common multiple of (q\/(-8))\/(18\/(-120)) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -7418351.\nAnswer: -3\/7418351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o*o**(5\/3)))\/o)\/(o**(2\/13)*o))\/(o**(2\/11)*o*o**1\/o))\/((o\/((o\/((o**(3\/4)*o*o)\/o))\/o))\/o*o*o*o**(-1\/2)*o*(o**(2\/5))**39) assuming o is positive.\nAnswer: o**(-221813\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1448250057.3 and -2.\nAnswer: 1448250055.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63278905*s**2 + 53249916*s wrt s?\nAnswer: -126557810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 3, y: 15}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let m(b) = 4*b - 3. Let z(c) = c - 1. Suppose 3*s = 4*v - 3, -5*v - 52 = 4*s - 17. Let a(y) = v*z(y) + m(y). Calculate a(l(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*b**5 + 17*b**5 - 63*b**5 - 132*b + 24*b**5 - 9*b**3 wrt b?\nAnswer: -20*b**3 - 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23\/((-138)\/(-60)) - -4944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53320897 and 68555439.\nAnswer: 479888073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/50)\/((-2)\/25). Let z = -1 - l. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-15)\/25 - (-13)\/5). Let g(t) = -16696 + 16696 + t**d. Let k(c) = -8*c**2 + 3*c + 4*c**2 - 4*c**2 - 5*c. Determine k(g(q)).\nAnswer: -8*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from cucy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -433.89, -681.7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55324*t = 55286*t - 2052 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*((b\/(b\/(b\/b**(2\/11))))\/b*b)\/b*b*b))\/b**(-2\/31))**17 assuming b is positive.\nAnswer: b**(-10166\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 98.53?\nAnswer: 49.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 486 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1294 + 520. Find the common denominator of (1\/3)\/((-120)\/r) and -25\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -5)\/(45\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 - 8*b + 4. Let g(c) = -4*c**2 + 8*c - 3. Let i(z) = 6*g(z) + 5*u(z). Let v be i(-8). Solve 16 = -v*m + 3*x, 2*m - 2*x + 4*x - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 8.2 (c) 1\/2 (d) 2 (e) 1\/4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 15*d**2 - 104*d + 4042. Give o(20).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 7}. Give prob of picking 2 w.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(326 + 324 - 643 + 5*t).\nAnswer: 10*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 17*s = -14. Let p(r) = -6*r**2 - 3*r + 6. Let v(n) = -n + 1. Let x(a) = -p(a) + 4*v(a). Let c be x(s). Solve 0*g = -4*g + c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {r: 3, m: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 8*-80 - 0. Let o = 1331 + k. What is o rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-530 + 530 - 54*c)*(-2 + 3 - 2 + (-5 + 2 + 2)*(3 - 3 + 2))*(-3 + 5 + 0)*(2*c - 2*c - c).\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - n**3 - n**3 + (n - n + n**2)*(3*n - 3*n + n) - 2*n**3 + 5*n**3 - n**3 + (-4 + 4 + n)*(3 - 3 - 3*n**2).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039058 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + u - 6 = -3*u, 4*m - 39 = 5*u. Let c(k) = -k**2 - 15*k + 2. Let l be c(-7). Let s = 112 - l. What is the highest common factor of s and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 9?\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214689419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13532 + 0.0613. Let v = 0.074 + f. What is v rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25492650 rounded to the nearest 10000?\nAnswer: -25490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -455095 or -5006031\/11?\nAnswer: -455095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-8)\/4 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -125*s - 6872. Determine o(-55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 99363, 200047, 300719, 401373, 502003, 602603, 703167?\n\"Answer: -n**3 + 100691*n - 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 12*w**3 - 24*w**2 - 20*w - 6.\nAnswer: -2*(w + 1)**3*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgl when three letters picked without replacement from {y: 1, i: 2, k: 2, g: 1, v: 2, l: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 13, -26, -63, -98, -131, -162?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r - 3*r - 9*r)*(-r - 2*r**2 - 61 - 2*r + 64).\nAnswer: -10*r**3 - 15*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = -k. Suppose -k*w + n + n + 1342 = 0, -w + 330 = 5*n. What is the second derivative of 4*s + 0*s**5 - w + 335 - s**5 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-112)*4\/(-10))\/((-641)\/15384)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 12*16\/24. Which is the closest to -1? (a) -0.2 (b) 11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 14 = -2*i. Let p = i - -11. Suppose -5*d = -p*d - 4. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -21*(-1)\/12*1*4. Suppose 47 = 3*b - f. Let r be ((-56)\/10)\/(8\/(-180)). Calculate the greatest common divisor of b and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44419 + -808832\nAnswer: -764413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Let x be -25*((-1)\/(10\/(-44)) - 2). Let o = x + 29. Let r = -25 - o. Give q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4242)\/1212*(-4)\/70?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 30*b + 60. Let z be n(-25). Is 13 a factor of 2\/(-13) + (-8720)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 b when four letters picked without replacement from {f: 2, j: 9, b: 8}?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -26. Suppose 2*q = 3*m - v, -2*q - 7 + 1 = -4*m. Let t be -1 - -1 - -2*1. Solve -4*w - d - 4*d = 12, -t*w - 8 = q*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93684894*v - 4721*v**3 - 93684894*v.\nAnswer: -4721*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**3 + 322 + 14*t**3 - t**2 - 11*t**3 - 12*t**3.\nAnswer: -40*t**3 - t**2 + 322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 436?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 5:35 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3 - q**2 - 2*q + 2. Suppose -6*r + 3 = -3. Let c be o(r). Solve -3*h = 2*s - 2, c = -h + 2*h + 5*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 2*m**2 + 4*m - 4. Let u(j) = 2*j - 47. Let k be u(26). Let a(q) = -3*q + 5 - 2*q**3 - 2*q - 3*q**2 + q**2. Calculate k*v(n) + 4*a(n).\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238044.\nAnswer: 2, 3, 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2160093018 to the nearest integer?\nAnswer: 46477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 + 9*i - 6. Let j be s(7). Let a = j - 8. Let u(q) = q**2 - q - 1. Let l be u(3). Solve l*x = 5*f - 14 + 4, a = 5*f + x + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964119 divided by -321373?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d2 (base 15) in base 16?\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16 - 0)\/(-1 + 2). Suppose 6 = -4*i + 6. Let u = i + k. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -2255\nAnswer: 676.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000679161999 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/293, 27, -2\/5 in ascending order.\nAnswer: -2\/5, -5\/293, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-695)\/695)\/((-218)\/4)?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/7 + 18*g**4\/7 - 110*g**3\/7 - 58*g**2\/7 + 276*g\/7 + 208\/7 = 0. Calculate g.\nAnswer: -13, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -5. Suppose 4 + 2 = -r. Let f be (6 + -15)*1*2\/r. Solve 5*m - 5*h = 30, j*m = m - f*h - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 - 17) - 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18934 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -855, -630, -409, -192?\n\"Answer: -2*i**2 + 231*i - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118.5 + -118.5002964. Round l to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135.5 and 0.288.\nAnswer: 39.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 2*o**2 + 2*o + 3. Let f be u(-2). Let w(d) = -3*d**2 - 6*d + 6. Let r be w(-6). Let b = -458\/7 - r. Sort f, b, -1\/4 in descending order.\nAnswer: b, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 (base 10) in base 15?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5003 - -7542. List the prime factors of m.\nAnswer: 5, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 714\/13 or 54?\nAnswer: 714\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5380684 or -5380689?\nAnswer: -5380689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -80 + 84 - (-15 + 2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-162)\/189)\/((-12)\/20))\/((-13)\/((-3185)\/10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9) - 33\/(-45). Let t(u) = 2*u - 1. Let r be t(-2). What is the closest to -0.1 in f, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*t**2 - 201*t**2 + 675*t**2 + 1357*t**2.\nAnswer: 2027*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129343, -258678, -388009, -517336, -646659, -775978, -905293?\nAnswer: -1034604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -737579 by -2.\nAnswer: 737579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -6\/113 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, -1462\/15, -0.2, 2\/15, -1\/2, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*m - 28 = -857*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*g + y, -g - 11 = -5*g + 5*y. Let j = 14 - g. Calculate the remainder when 39 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-8)*z**(-18) assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3791217 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 10. What is the closest to -0.06 in -3, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2931 + 20.5921. Round c to 1 dp.\nAnswer: 19.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-39))\/((-8)\/222)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + (-14 - -11) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzbvzhhvdzzvvkzvzbz. Give prob of picking 1 h and 1 z.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70684*p**3 - 70696*p**3 - 70685*p**3 + 212074*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 6, r: 3, b: 1, s: 1}. What is prob of picking 3 r?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 d, and 1 u when three letters picked without replacement from sbbiisubssdiiiv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120872061841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, -1, 0, 343 in descending order.\nAnswer: 343, 0, -1, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = 6. Suppose 4*m + 5*c = c + 64, -5*c - 32 = -h*m. Let i(a) = 11*a - m*a - 19*a - 2*a. Let g(f) = -2*f. Calculate i(g(j)).\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1716588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 3.14 (c) -4 (d) -1 (e) -5 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30166*k + 88638*k - 521 + 73 + 74 + 374)*(0*k**2 - k**2 - k**2).\nAnswer: -116944*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h - 2*q, 5*h - 2*q - 5 = -20. Suppose -2*i + 14 = 2*m - 4, -3*i + 22 = 2*m. Let g(d) = 0*d - d**3 + 4 + 3*d - 4*d**2 - m*d. Determine g(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -665?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1225 + 2?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 146 + 301 - 7*g**2 + g**2 - 164.\nAnswer: -12*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 988183.84 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 9*k**3 - 35 + 2*k**2 + 58*k**3.\nAnswer: 67*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91910 and 9345833?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(6)\/sqrt(72)*-1 + 2.\nAnswer: -sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38405227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-3) + 6)*1. Sort h, 55, 3.\nAnswer: h, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(176) - (sqrt(11) + (sqrt(396) - 2*sqrt(396)))) + -1)*-5)**2.\nAnswer: 1350*sqrt(11) + 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 3) in base 2?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36342 = 3*d + 2163. Let x = d + -8089. Let b = x - 13311\/4. Find the common denominator of b and -39\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q**2 + q + 3. Let i(x) = 17*x**2 + x + 2. Let p(z) = -3*b(z) + 4*i(z). Let d(o) = 9*o**2 - 8*o + 8. Give -3*d(l) - 24*p(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17775124249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-17 - (-16 - -9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/21 - (-2)\/7. Let j(p) = -p**2 - 5*p - 6. Determine j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105663447 divided by 11740383?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 3*c)*((43*c**3 + 16*c**3 + 0*c**3)*(-5*c - 10*c + 8*c) - 2*c**4 + 3*c - 3*c + 0 + c**4 + 0).\nAnswer: -414*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 18. Give f(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-710)\/80 + 9) + -10. Suppose 8*i - 15 = 3*i. Solve -5*z = i*l + 15, -2*z + 3*l = -9 - o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1 - 8. Suppose 0 = 2*b - 5*r - 0*r - 97, 320 = 5*b + 3*r. Suppose v*z + 4*o - 103 = 2*z, -3*z - 2*o = -b. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -97*t - 113. Let s(p) = -28*p - 38. Determine 2*f(b) - 7*s(b).\nAnswer: 2*b + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 divided by -149?\nAnswer: -593\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by -22915\nAnswer: 123\/22915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*z = -22, -2*i - 5*z - 9 = 10. Solve 5*j + 16 = -i*k, k - 4*k + 5*j + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -14*x + 66 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 434842*y - 434536*y - 1 + 2 to the form n*y + m and give n.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**5\/20 - c**4\/12 + c**3\/6 + c**2\/2 - 4*c - 6. Let m(h) be the first derivative of i(h). Give m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 178*o**2\/5 + 3357*o\/5 + 2340.\nAnswer: (o - 156)*(o - 25)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -34, -1\/6, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.81 times 7?\nAnswer: -376.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13388 is divided by 2588?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2100)\/16 + 1*2. Let q = -128 - u. Calculate the common denominator of 2136\/96 + (2 - 1) and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2106*v + 1333*v - 548*v + 334*v.\nAnswer: 3225*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 4*u - 7. Suppose 12 - 14 = 2*n. Let l be 3 - (n - -9)*1. Let w be a(l). Put 0, 5, w in descending order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - g - 2*g**2)*(11*g + 12*g - 11*g)*(g + 2*g - 4*g) to the form z + c*g + y*g**2 + q*g**4 + s*g**3 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134 and 17462344?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 1, x: 11, t: 4, n: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58\/5 or -12?\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + -53. Suppose -w + 4*w - 3*q = -n, 5*w + 5*q + 230 = 0. Calculate the common denominator of 12\/5 and 2 - 1\/2*w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-6)\/(t**(-1)\/t)**13 assuming t is positive.\nAnswer: t**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*y + 62*y + 58*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -950*n*t**2*v - 10*n*t**2 + 770*t**2*v - 4710*t**2 - 7 with respect to v.\nAnswer: -950*n*t**2 + 770*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35749904.\nAnswer: 2, 61, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/5222 and 107\/42.\nAnswer: 15666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1741071*b**4 + 373985*b.\nAnswer: 20892852*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 109*d - 562200 = -98*d. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*u**4 - 3\/5*u**2 + 0*u + 0 - 2\/5*u**3.\nAnswer: u**2*(u - 3)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172012.3 rounded to the nearest one thousand?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259253 - -99253. Round c to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 425889\/5 + -85552. Let v = 376 + i. Factor -v - 6\/5*m - 1\/5*m**2.\nAnswer: -(m + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.549 times 7221?\nAnswer: 263920.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -20\/7 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(2\/(-2)))\/(43\/((-16641)\/(-86))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34834794 and 0.5.\nAnswer: 34834794.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*r**3 + 29*c*r**2 + 4*c*r + 6848*c + 5*r wrt r.\nAnswer: 3*c*r**2 + 58*c*r + 4*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*s - 738 = 4*y, 2*s + 1242 = 5*y. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/2 + 17*a**4\/2 + 39*a**3\/2 - 17*a**2\/2 - 19*a = 0. Calculate a.\nAnswer: -2, -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 19*l**2 + 11*l - 2. Let b(y) = 29*y**2 + 17*y - 4. Let g(c) = -5*b(c) + 8*o(c). Let w(j) = 8*j**2 + 4*j + 5. Determine -6*g(r) + 5*w(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9751, 19499, 29247, 38995, 48743?\n\"Answer: 9748*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4136 and 163\/132?\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 0 + 56\/(-8) + 3684 + (-15)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1380459 divided by 62\nAnswer: 1380459\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**4\/4 + 6*f**3 + f**2\/2 - 20*f - 197. Give s(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78579948?\nAnswer: 2, 3, 6548329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {d: 2, t: 7, w: 1, z: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:25 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37255725 or -37255730?\nAnswer: -37255730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0508499+-98461.9\nAnswer: -98461.9508499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 12431 (b) 0 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 51504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k + 1938 = 102. Solve -5*s + 4*g = -20, 55*s = k*s - 5*g - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.12 rounded to 0 decimal places?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 - -8)\/72*37*2. Which is bigger: -8 or n?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*5*-2*sqrt(128))**2.\nAnswer: -640*sqrt(2) + 204801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078)*3 + sqrt(1078) - sqrt(1078))\/sqrt(11) - ((-1 + sqrt(4)\/sqrt(2))**2 + sqrt(128)\/sqrt(4)).\nAnswer: -3 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/7 (c) -1668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:34 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1277 - -668. Suppose -2*c - 1232 = 4*j, -137*c + 3056 = -142*c - 2*j. Is c less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -111 - (-2 - (-3 + 20 + -25 - -5))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2. Let n(p) be the second derivative of 0 + 6*p + 0*p**2 - 1\/3*p**3. Determine d(n(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/468 and -105\/161564.\nAnswer: 1454076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let v be ((2 + 2)*1)\/y. Calculate the greatest common factor of 18 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/105300 and -23\/70200.\nAnswer: 210600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)\/g**5*((g*g\/(g\/(g**(-1\/2)*g))*g*g*g)\/g*g*g)**(-16) assuming g is positive.\nAnswer: g**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*s = -6, 2*y + s + 0 = 13. Suppose -y = -2*z - 2*z. Let q be (-1)\/1*z + 3801. Round q to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 5 (c) 1\/2 (d) -74\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 - (-2)\/4. Suppose 2*l = j - l + 13, 0 = -5*j + 5*l - 15. Solve k*p - j*p = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -13 - (3592 - 3615).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + ((sqrt(308)*2*4)\/(sqrt(63)\/(sqrt(9) + sqrt(225))))**2)*-1.\nAnswer: -101369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270824987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43770\/(-9)*(-216)\/144?\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 6, -4, -1 in ascending order.\nAnswer: -4, -1, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 5*g**2 + 6*g + 7. Let w be i(6). Suppose w = -3*c + 19. Suppose -146 = -c*k + 3*j - j, -5*j + 103 = 3*k. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5 + 575102*o**4 + 4025652*o**3 + 10351624*o**2 + 11501776*o + 4600704 = 0.\nAnswer: -287544, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 41*o + 1112. Give n(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(5\/(-20)). Let y(z) = 3 + z**2 + 5*z + 2*z - x*z. Let h be y(-5). Solve h*o + 2 = 5*b, 0*b - 3*b = 2*o - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Let v be -6 + 29378\/3190 - (1 + 2). Let z = 4\/145 - v. What is the second biggest value in c, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002253 to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 = -a, c = -c + 5*a + 11. Suppose -3*q + 5*u + 1128 = 0, -430 = -4*q + c*u + 1063. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/3 (b) 18\/11 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3290341*s*y**3 - 2844993*s*y**2 + y**2 wrt y?\nAnswer: 19742046*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17177, 23081, 28985, 34889?\nAnswer: 40793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9347808 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-745 + 2388 - 757)*(-f - 2*f + 5*f) + f - f + f to the form i + x*f and give x.\nAnswer: 1773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 10589844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 875978 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1751*g - 1307*g + 51 - 446*g. Let h(n) = -4*n + 103. Determine -2*h(j) + 5*u(j).\nAnswer: -2*j + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30634980\/113 + -5742600619\/22374. Let b = 300965\/18 - n. Let c = b + -2281. What is the common denominator of c and -1\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 0.5, -5, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbwzbzbwbwuwbz. What is prob of picking 2 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 14?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 4:19 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -363*t - 76962. Calculate g(-212).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21 + ((-3)\/(-2) - (-72)\/(-16)). Let f = x - -28. Let c be f + 0 + (-50)\/15. Sort 5, 1\/4, -1, c in decreasing order.\nAnswer: 5, c, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2212, -0.02537, -4?\nAnswer: 2212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 7*x**3 - 5*x**3 + (-x**2 + 3*x**2 + 0*x**2)*(2 - 2 - 2*x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*z + 4054 = 246 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27420 and 30.\nAnswer: 27420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/17451 and 58\/3.\nAnswer: 17451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -756 * 434.\nAnswer: -328104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810022?\nAnswer: 2, 405011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(10)\/(sqrt(10)\/sqrt(5)) + sqrt(5)))\/(6*sqrt(30)\/sqrt(12)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8341952*k**6 - 117*k**2 + 2*k + 3198?\nAnswer: 1001034240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, o: 4, n: 3}. Give prob of sequence qo.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1418619243925*b + b**2 - 1418619243925*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3618 (base 10) to base 9\nAnswer: -4860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-6) - (-3)\/9. Let l(j) = -3*j**2 + 5*j - 5. Let t(r) be the first derivative of r**3\/3 - r**2 + 2*r - 1. Give h*l(f) + 5*t(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161069\/15 - -10742. Calculate the common denominator of t and 8\/51.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 7*q**2\/2 + 7*q - 2. Does 21 divide a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18040 and -2.\nAnswer: 36080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*a + 0*a**2 + 4*a**2 - 6*a**2 to k + s*a**2 + r*a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14422940 by 515105.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*65\/26*42\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -55693.91+780\nAnswer: -54913.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.193 + -3.993. What is the nearest to 1 in q, 2\/5, -28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/33)\/((-2)\/6). Let x(t) = 4*t - t**2 - 3*t - l + 0. Calculate x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 1*sqrt(200) + -3 - (sqrt(200)*-1 + -2))**2 + -1*(-1*sqrt(242))**2 + 1.\nAnswer: -60*sqrt(2) + 1560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -11. Let m(f) = f**3 + 4*f**2 - 7*f - 7. Let y be m(c). Suppose -y*q = q - 16. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16576830*v**4 - 24865255*v**3 - 8288430*v**2 - 5*v = 0. What is v?\nAnswer: -1, -1\/2, -1\/1657683, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 238883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c97 (base 13) in base 14?\nAnswer: -1829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -317\/9. Suppose 24*j = 5*j - 608. Let t be (10\/(-20))\/((-8)\/j). Is t > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:30 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25734480 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d**3 + 6*d**2 - 5*d + 3. Let g be u(2). Let y = -106 + g. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1877013 divided by -208557\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 140*u**5 - 730*u**4 - 7285*u**3\/4 + 1915*u**2\/4 + 145*u - 35 = 0?\nAnswer: -2, -2\/7, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(1300)*-1*-4.\nAnswer: -240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222198, 222200, 222202?\n\"Answer: 2*g + 222196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/3)\/((-2*12)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -174*x**2 + 183*x - 4. Calculate c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 20 = 4*r. Suppose -5*z - 241 = -r*u, -39 = -u - 0*u - 3*z. Let k = u - 31. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86029 >= -86031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -7 - 1\/2*p**2 - 2\/3*p**3 - 1\/12*p**4 + 5*p. Let v(q) be the first derivative of l(q). Give v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 453 = 15*k, 70*k = -2*g + 30*k + 39*k - 71 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-19) + (-16 + 2 - ((-2782608)\/1710)\/116)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*1*-2)\/(sqrt(200)*3 - sqrt(200)) - ((-2*sqrt(132)*1)\/sqrt(12) - (6*sqrt(11)*-1 - (sqrt(110)*-1 - sqrt(110))\/sqrt(10)))**2.\nAnswer: -44 - sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 c when three letters picked without replacement from {g: 5, c: 15}.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1040 greater than -5206\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 20*h**2 - 81*h + 28. Give c(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1802 - 1.1802. Which is the closest to j? (a) -3 (b) 0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (-32 - 2) + 30\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21748329 to the power of 1\/2, to the nearest integer?\nAnswer: 4664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3015816989 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - u - 17*c + 50, 2*u = 6*u - 15*c + 10*c + 56 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319383 is divided by 29013?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94905 - 79695 + 29114 - 44695 - 41999 + 4641)*(x**2 + 0*x + 0*x) to d*x + i + b*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + c**3 - 2*c**3 + (-7*c**3 - 7*c**3 - 4*c**3)*(-1 + 3 - 4) + 0*c - 4*c**3 + 0*c.\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103432 is divided by 546?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**4 + 0*h**4 - 6*h**4)*(2 - 4 + 3) - 2*h**3 - 3*h**4 + h**4 + 3*h**3 to the form f*h**2 + o + m*h**3 + t*h**4 + v*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2570853.\nAnswer: 1\/856951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.173 + -0.732. Round r to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 2446738?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -203568761 at least as big as -203568763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)\/k*(k\/(k**(-2\/9)\/k))\/k*(k**(-2))**(-45))**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 150, -3\/7, -2\/5 in ascending order.\nAnswer: -3, -3\/7, -2\/5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 10305818.\nAnswer: -185504724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -16.06\nAnswer: -224.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -20.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*a**3*r**2 - 182*a**3 + 345*a**2*r + 583*a*r**2 - a - 207*r**2 wrt r?\nAnswer: 112*a**3 + 1166*a - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 30. Let s = 24 + x. Let i be (1\/2)\/(1\/3). Is i <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 26*b + 13. Let o(c) = 29*c + 14. Calculate 4*j(t) - 3*o(t).\nAnswer: 17*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 134 and 134 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.394972 millennia to decades.\nAnswer: 539.4972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1327280580 to the nearest 1000000.\nAnswer: -1327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101766157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + v**2 + 25 - 57*v + 22 + 23 - 51 in the form i*v + m*v**2 + b and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 18*j - 6. What is s(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i - 5*z + 11, -10 = -2*z. Suppose 4*f + i = 6. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2312600 and -83\/12719300.\nAnswer: 25438600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.183 + -2.817. What is the nearest to 1 in -0.04, -2, n?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 + 967. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtth when four letters picked without replacement from thsttvtvhvhstvvsvvvv.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*u = -102*u - 12. Put -2, 0.1, -1, u in decreasing order.\nAnswer: u, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*9\/(351\/6))\/1*18?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 8. Suppose -2*o = 4*y - 4, r*y - y = -o + 3. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372121020 is divided by 352.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6687*d*i**2 - d*i + 176931652*d - 3*i**2 - 39*i with respect to i.\nAnswer: 13374*d*i - d - 6*i - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69096227*t**5 + 2*t**2 - 559173677*t wrt t.\nAnswer: 1381924540*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64146, -64150, -64154, -64158, -64162, -64166?\nAnswer: -64170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*(p*p**5)\/p)\/(p*p\/p**0*p*(p\/(p\/(p*p**(-3\/13)*p)))\/p*p) assuming p is positive.\nAnswer: p**(29\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 416 + -445 + -2 + 581\/19\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31411757749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222197387?\nAnswer: 1879, 118253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2424 (base 5) in base 16?\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16359062 divided by 16359062.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -5, -3, 10 in decreasing order.\nAnswer: 10, 3, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -4470281?\nAnswer: 4470276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 7*p - 8. Let z be y(-5). Let k(n) be the first derivative of -4 - 5\/2*n**z - 4*n. What is the first derivative of k(o) wrt o?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-9))\/((b\/(b*b\/(b\/((b**0*b*b)\/b))))\/b*b))\/(b**(4\/13)\/b**0))**(-27) assuming b is positive.\nAnswer: b**(2565\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 1. Let m(u) = -3*u - 3. Let p(r) = -17*j(r) - 6*m(r). Let b(z) = 9*z + 5. Let h(t) = 3*b(t) - 15*p(t). Let x(i) = -29*i. What is h(x(d))?\nAnswer: -348*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4613807966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*g + 48. Let d = g + -8. Let b(l) = l**2 - 5*l + 3. Let x be b(4). Sort 0, d, x in decreasing order.\nAnswer: d, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 9:48 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 20, 0.2, 0.4, -2\/9, -0.3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*c + 82*c + 88*c - 23*c**2 - 21*c**2.\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.84 and -31223.8?\nAnswer: 213570.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -23*l**6\/120 + 7*l**4\/8 + 9*l**2. Let c(u) = u**3 - u. Let s(z) = 3*c(z) - n(z). Find the second derivative of s(g) wrt g.\nAnswer: 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-60))\/((1860\/(-54))\/5 - -7). Factor n*g**3 + 81\/5*g + 27\/5*g**2 + 81\/5.\nAnswer: 3*(g + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 12*q**2 + 29*q + 29. What is m(13)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34, -2\/3, 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 10. Let z be n(-8). Suppose 8*r - 10 = z*r. Let u = 1.95927 + 0.04073. Which is the second smallest value? (a) 1\/3 (b) u (c) 0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171900 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + -5 + 4\/(24\/(-47)))*-6. Solve g = 5*l + 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*y - 785*y + 1336*y.\nAnswer: -377*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -44532.04*61\nAnswer: -2716454.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7}. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2. Let c(a) be the third derivative of a**8\/10080 + a**5\/20 - 2*a**2. Let z(k) be the third derivative of c(k). Determine l(z(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 379, 325, 231, 61, -221, -651, -1265?\nAnswer: -2099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5268468*u**3 + 310*u**2 - 533.\nAnswer: 31610808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -205.\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1862*c**3*f + 12*c**3 - 2*c**2 + 791*c - 3*f**3 - 2*f wrt f?\nAnswer: 1862*c**3 - 9*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 0.4. Let g = n + 0.2. Let w = 13\/15 - 7\/15. What is the closest to w in g, -4, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y - 1. Let d be n(-7). Let z = d + -31. Let p(a) be the third derivative of a**6\/120 - a**5\/15 + a**4\/24 - 4*a**2. Calculate p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13975 = -4499*c - 19405 - 20608 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5813 - -21.9315. Let r = 14.358 - y. Let s = -2 + r. Round s to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5757607*p + 535788*p + 2764772*p - 15232168*p.\nAnswer: -17689215*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1592, 5467, 11934, 20999, 32668, 46947, 63842, 83359?\n\"Answer: u**3 + 1290*u**2 - 2*u + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*x**3*z**3 - f**3*x**3*z + 8263*f**3*x**2*z**2 + 20*f**2*x**3 + 4*f**2*x*z**2 + 35478833*x**3*z**3 - 5 wrt z?\nAnswer: -12*f**3*x**3 + 212872998*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*b + 8 + 4 = 0, -8 = i - 3*b. Suppose 6*g = g + 30. Suppose c - g = -z + 2, 4*z - 14 = 2*c. Solve -3*t = -3*p, -c*p + 9 = -t - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + 8. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 9. What is the units digit of j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2. Let w(l) = 2*l**2. Let y(d) = -2*c(d) - 7*w(d). Let i(u) = -6*u. Let k(m) = m. Let r(g) = 2*i(g) + 10*k(g). Calculate r(y(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -779 divided by -19?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3.2. Let o be (2 - -1)*2\/(-4). What is the third smallest value in t, o, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17130.6 + -17131. Which is the closest to -0.2? (a) l (b) -21 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -8 + -1 + 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 + 22*l**2 - 18*l**2.\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-5) + (-501)\/60 - -8. Factor 7\/2 + a*r**2 + 9\/4*r.\nAnswer: (r + 2)*(r + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232279 is divided by 504?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102 + -20?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14020 - 44003?\nAnswer: -113023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 22*l - 3*l)*(2*l - 2*l + 1 - l).\nAnswer: -21*l**2 + 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g + 410 + 953 + 477 - 14*g.\nAnswer: g + 1840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73064 divided by -394.\nAnswer: -36532\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37400003 to the power of 1\/2, to the nearest integer?\nAnswer: 6116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199.00000589 + -199. What is p rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - 8. Let u = x - -53. Suppose -4*a - 140 = -4*z, 11*a + u = 6*a. What is the smallest common multiple of 33 and z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125)\/150*(-108)\/40?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 12*u**2 + 266*u - 148. What is n(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58352416 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*s**2 - 17 + 95*s**2 + 91*s**2 as m*s**2 + w + r*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*m + 2*m - 4*w, -5*w + 22 = m. Let l = 11 - m. What is the first derivative of 0 + j**l + 2 - 2*j**4 + 0 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 36800?\nAnswer: 147200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 17 = -4*m, -4*q + 3*m = -2*q. Suppose -25*k + 118*k = -93. Let s(n) = 5*n**2 - 3*n + 2. Let f(v) = v. Give k*s(d) + q*f(d).\nAnswer: -5*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*o + 15 = 84*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 24*v**3 - 12. Let n(s) be the second derivative of s**5\/20 - s**2\/2 + 7261*s. Calculate -36*n(q) + 3*x(q).\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4306173916+-0.87\nAnswer: -4306173916.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774 is divided by (287 - (-18)\/(-4)*28\/(-21)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/40)\/(1494\/30). Let m = p - -74\/249. Put m, 2, 4 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 2*l + 131. Let u be h(-10). Let p(o) = 11*o**2 + 4*o. Let y(s) = -32*s**2 - 11*s. Calculate u*p(i) + 4*y(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**3 + 2*p**2 - p**2 - 144*p + 1 + 145*p. Let y be c(-1). Let x be (y\/(-5))\/(-4) - 0. What is the third smallest value in -2, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-5*4*sqrt(2)))**2.\nAnswer: 7\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 48774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-6)\/(-4)*2. Suppose 28 = -4*a - 5*d - 4, -a = -2*d - 5. Put 4, a, i in decreasing order.\nAnswer: 4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66779, -66812, -66845, -66878, -66911, -66944?\n\"Answer: -33*a - 66746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g + 21. Let n be y(0). Suppose -3*d - 6 = -n. Suppose 0 = -d*l + 60. Solve i - 3*f + 1 = -11, -l = -4*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 0*y**4 + 2*y**4 + (-1 + y**2 + 1)*(1483 + 19*y**2 - 1483).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -46. Sort a, 2, 3 in descending order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 24. Let n = 15 + w. Suppose n*h + 5*b = 15, -4*h + 0*h - b = -21. Calculate the remainder when 11 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 214198 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -425.\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:13 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-76)\/(-8)*42 - -3. Suppose 198 = k - 4*i, y = 4*k - 2*i - 432. What is the highest common divisor of 90 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 784?\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1205 - 1210. Let z be (1\/(-2))\/((-2)\/(-40)). Sort z, b, -2 in ascending order.\nAnswer: z, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68474100.\nAnswer: 2, 3, 5, 19, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369 by 3.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12889 + 12916 = 12*j - 15*j, -5*j - 25 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/24)\/((-2)\/3). Let f be (-1)\/(-3) - (-3 + 2). Suppose -11*j = -1 + 12. Which is the closest to 2\/5? (a) j (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-459)\/90)\/(30\/300) - 59.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(5\/3) - -44. Suppose -r*s + 153 = -46*s. Calculate the remainder when s is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 642478?\nAnswer: -642478.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 495\/(-120) - (-4)\/1. Put 2, i, -5\/4 in ascending order.\nAnswer: -5\/4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2 (b) 215 (c) 43374\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190988 and 21812?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19957*r + 49481 - 92 - 19958*r.\nAnswer: -r + 49389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -75863 divided by -4\nAnswer: 75863\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 4, j: 6, w: 2, h: 2}. What is prob of picking 1 w and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f - 11. Let d(h) = 5*h**2 + 5*h - 56. Calculate 2*d(z) - 11*l(z).\nAnswer: -z**2 - z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 873 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + 15*o - 5. Give v(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12. Suppose q = -5*j - 5*x - 10, -2*j - 5*x = -0*j + 10. Suppose -7*v + 4*v + 9 = j. Solve -v*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5056?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -1.03. Let w = s - -0.6. Let f = -0.2994 - w. Round f to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4856, 9717, 14578?\nAnswer: 19439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -307 (base 9) to base 2\nAnswer: -11111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(-20))\/1)\/(12\/2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 120, -4, 2, 4, 5, -5 in descending order.\nAnswer: 120, 37, 5, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(13))**2 - sqrt(13) - sqrt(117)\/(sqrt(9) - 2*sqrt(9)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 1)\/(4\/(-80)) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8*z**3 - 22*z**2 + 58*z - 30. What is the hundreds digit of p(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 334787 and 68180?\nAnswer: 266607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(210)*2)\/sqrt(6))\/(sqrt(60)\/sqrt(108) + (sqrt(75)\/sqrt(3))\/sqrt(5)).\nAnswer: -15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84e4 + -1dd6?\nAnswer: 660d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23280905.\nAnswer: 5, 17, 79, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 2, m: 1}. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4078 - -7076. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 - 24 + g + 24 as n*g**3 + h*g**2 + z + f*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 + 0)*(0 - 1 + 2) + (0 + 2 - 4)*(-3 + 0 + 2))*(-10*o**3 + 3 - 3) to a*o**2 + s + m*o**3 + k*o and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207006 is divided by 113.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 44 - ((-2 - -1) + 11) - 6\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236511.3um in kilometers?\nAnswer: 0.0002365113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 96 = -141. Suppose 1330 = 3*r + g, 0*g + 1326 = d*r + 3*g. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2087100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 23. Suppose -u = 5*b + 28. Is 22 a factor of 5\/(b\/(-136)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*d + 3 = 2*d, d - 2 = -4*o. Differentiate -o - 4 + 7 - 12 - 3*j**3 wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Suppose 3*c - 2*u - 12 = 0, 4 = c - u + d*u. Suppose 3*v + c = 4*j + 2, -4*j = -8. Do 2 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 7*p**2 + 5*p - 4. Calculate o(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 5. Let i(x) = -x**3 - 7*x**2 + 10*x + 12. Let h be i(-8). List the prime factors of (9\/h)\/(3\/z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.324 - -213.324. Let z = -198 + y. What is the smallest value in z, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -28. Which is the nearest to z? (a) 0 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3820 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/77, 2\/7, -0.2, 0 in decreasing order.\nAnswer: 2\/7, 2\/77, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -28977.\nAnswer: 11590.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7096064 rounded to 3 decimal places?\nAnswer: -2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*((-7 - -2) + 4). Find a such that -a - u - 2*a + 4*a**2 - 1 + 5*a**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-6))\/(40\/(-16)). Suppose -15*t = -18*t - 15. Sort t, 4, h, -7 in decreasing order.\nAnswer: 4, h, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-123)\/(-1722)*(4 - 0). What is the nearest to 0.1 in 356, 1\/2, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 25 = 0, -5*v + 4 = 2*y - v. Let g be y\/30*(-5)\/(-6). Let u = -1 + g. What is the nearest to -2\/5 in -5, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 724783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 2. Let i be g(-1). Solve i*q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*c**2*t**5 - c**2*t**2 + 2*c**2*t - 408*t wrt t.\nAnswer: 1560*c**2*t**3 - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 1, r: 3, k: 1}. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1223658432 by 16032.\nAnswer: -76326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*v*v**(-6\/5)\/v)\/(v**5\/v*v*((v*v*v\/v**17*v)\/v)\/v) assuming v is positive.\nAnswer: v**(181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s + 2. Let h(r) = 12*r - 1. Let y(t) = 3*h(t) + 2*j(t). Calculate the remainder when y(10) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 111*n**2 + 8214*n - 202612.\nAnswer: (n - 74)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let a(m) = 4*m**2. Let u = -28 - -41. Determine u*i(o) + 6*a(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991168?\nAnswer: 2, 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3390, -16, 6, 4 in increasing order.\nAnswer: -3390, -16, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73528 and 5959?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-16) + (-21)\/35 + 64\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 238*p**2 - 16*p - 26. Let x(w) = -119*w**2 + 9*w + 13. Let t(y) = 3*s(y) + 5*x(y). What is the second derivative of t(a) wrt a?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:44 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/805, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**(3\/2)*b)\/b*b\/b**(7\/2)*(b*b\/((b*b**(-25)*b)\/b)*b)\/(b\/(b*((b*b\/b**(-13)*b)\/b)\/b)) assuming b is positive.\nAnswer: b**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 3*d**2 + 3*d + 1. Calculate the remainder when s(3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3023\/1332 - -7\/148. Let m = 9 + -12. Is m <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038999 times -0.04?\nAnswer: -0.00155996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000546953 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2, -3*w + 2100 + 2565 = 2*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + o. Let t be j(-1). Suppose q = -t*p, -p - 2 = -1. Let n be (-4 - -1)\/(-6)*0. Put 4, n, q in decreasing order.\nAnswer: 4, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 38*q - 15 - 1 + 28.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15*j**2 - 1. Let a be z(1). Let m(q) = q**2 + 5. Let y be m(-5). Let u = 5 + y. What is the greatest common divisor of a and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 182\/4)*(4\/(-18))\/((-103)\/927).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22975120 to the nearest ten thousand.\nAnswer: 22980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*r - 39677, -5*o + 39681 = 5*r - 4*o. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.56 or -1\/283?\nAnswer: -1\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 32, 42, 48, 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 733.1.\nAnswer: 733.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + r + 3. Let i be q(0). Suppose 2*w - w = i. Is 4 a factor of w\/(9\/2)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219*f**2*z**2 + 4*f**2 - 129504*f*z + 6249*z**2 - 4*z wrt z.\nAnswer: -438*f**2 + 12498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.768839km to nanometers.\nAnswer: 9768839000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -4 (c) 0.3 (d) 1 (e) -1\/3 (f) 445\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 277*v**2 - 593*v - 164263. What is f(-277)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 60\/55)*-6 + 0. What is the second smallest value in m, 123, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 112 + -3?\nAnswer: 10f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 72*h**3 + 3274*h + 18. Let n(q) = 54*q**3 + 2455*q + 14. Let r(b) = -9*n(b) + 7*z(b). What is the second derivative of r(y) wrt y?\nAnswer: 108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (-2 - (3 + -4)). Let d be (8\/f)\/(1\/(-3)). Suppose 2*n + n = 5*o - 50, 3*o = d*n + 19. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 53449333.\nAnswer: 267246665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eex when three letters picked without replacement from wxwwxeeert.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -43, 322, 707, 1118, 1561, 2042, 2567?\nAnswer: 3142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/7)*h\/h**(-3\/7)*h)\/(h**(2\/11)*h*h\/(h\/(h**(1\/11)\/h))*h) assuming h is positive.\nAnswer: h**(78\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(2) + sqrt(8)\/sqrt(4))*-6.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnyyynynnyy. What is prob of sequence nn?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -211, 2, 156 in decreasing order.\nAnswer: 156, 2, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4033\/20165)\/(1\/190)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4959518.\nAnswer: 2, 1451, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960577434?\nAnswer: 2, 3, 17788471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13009, 24920, 36833, 48748?\n\"Answer: k**2 + 11908*k + 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 - -111. Let i(a) = a + 1 - a + 9*a. Is i(r) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-19)\/38?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -2*q - 1\/4*q**4 + 10 + 0*q**3 + 0*q**2. Differentiate b(f) with respect to f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -30*h + 5*h**2 - 273 + 273. Let c(b) = -b. What is m(c(j))?\nAnswer: 5*j**2 + 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = -572*y + 780 + 21. Let f(a) be the third derivative of -a**4\/3 + a**3\/6 + a**2. What is f(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2836.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 430*h + 265 - 428*h + 402 - 267 to the form y*h + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(450))\/sqrt(9) + (sqrt(162) + -1)**2.\nAnswer: -3*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s. Let t be (-5)\/(-2)*4\/5. Let h(w) = -w**2 + 6*w + 2. Let n be h(5). Let c(q) = -7 + n + t*q**2. Determine c(a(f)).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -207421508 divided by -51855377\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22536795, -22536813, -22536819, -22536807, -22536771?\nAnswer: -22536705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218239 - 218239 + 7649*c to the form q + b*c and give b.\nAnswer: 7649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbhyalyllbya. What is prob of sequence alyy?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11855*d**2 - 292*d**2 - 3 + 483*d**2.\nAnswer: 12046*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 392 - 209. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403646 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x**3 - 1706 + 3769 - 42*x**3 - 2063.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m. Sort -3\/4, -3\/7, m.\nAnswer: -3\/4, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 2, -19.\nAnswer: -19, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1218 - 777. Let b = 561 - y. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*m - 30 = 0, -5*k = 4*m + 10 - 48. What is the smallest common multiple of k and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y. Let n(c) be the third derivative of 0*c**3 + 0*c + 1\/12*c**4 + 0 + 3*c**2. Calculate d(n(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.133 + -1.133. Put 0.24, o, 4 in descending order.\nAnswer: 4, 0.24, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15518*h + 7758*h = -7763*h - 5*x - 14 - 4, -3*x = -3*h + 30 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 8*x + 5. Let q be f(4). Find the common denominator of 91\/20 and 3 - (q\/14 + 4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31856 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 15*v - 2. Let s(t) = -t**2 - 9*t - 5. Let p be s(-6). Let j(i) = -362 + 7*i + 71 + 66 + 72 + 71 + 81. Calculate p*j(f) - 6*g(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b - 86*b + 4*f - 104 = 0, -b = -4*f + 26. Suppose -2*x - 2*x = -140. Calculate the remainder when x is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-8) - -1)\/(40\/160). Let w be (-8 + u)*4\/6*1. Sort -21, w, -3 in increasing order.\nAnswer: -21, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -331.\nAnswer: 3\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/20 - 5*k**4\/12 - 14*k**2. Find the second derivative of j(c) wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1939*-8.9\nAnswer: -17257.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-166)\/14 + 0 + 7)*-7. Solve 0 = 8*x + 9*x - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57110635 to the power of 1\/2, to the nearest integer?\nAnswer: 7557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 61411386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -865, -4, 22, 2 in descending order.\nAnswer: 22, 2, -4, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709223015 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: Calculate the greatest common divisor of 11991356 and 12084.\nAnswer: 4028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 3, v: 1, p: 7, x: 7}. Give prob of sequence pp.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100111 (base 2) to base 7.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1358*v + 952 = 1222*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 66 = 5. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2633*u + 2636*u = 9512, -2383 = -j - 2*u. What are the prime factors of j?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21800 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:27 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -27. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 36*m**2 + 5427*m - 973. Calculate n(-151).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4650)\/6045)\/(1\/13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*m, -4*l - m = 3*m + 12. Suppose 2*w + 3*j - 15 = -w, 2 = -2*w + l*j. Let h = 194\/3 - 64. Put -0.2, w, h in descending order.\nAnswer: w, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 92\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10101010 (base 2) to base 9\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 + 2*m**2 - 3*m. Let n(o) = 4*o**3 - o**2 + 2*o. Give 3*n(z) + 2*q(z).\nAnswer: 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20200714517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4216 + -1081.\nAnswer: -5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + 0))**2 - sqrt(7) - sqrt(14)\/(2*sqrt(2)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 1:56 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3300))\/sqrt(3).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -10 (b) 234 (c) -0.4 (d) 2\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1922*f**2 + f + 494*f**2 + 3791 + 492*f**2 + 489*f**2 + 485*f**2 wrt f?\nAnswer: 76*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -4\/3, -975534, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210859.\nAnswer: 11, 29, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1300 and -93\/2366.\nAnswer: 118300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2306*z - 11535. What is y(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 45 (c) -0.2 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/sqrt(2) + sqrt(396)\/sqrt(4) - ((sqrt(55)*2)\/sqrt(5) + (sqrt(55)\/(1*sqrt(5)))**2).\nAnswer: -11 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 299 - -5?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvu when three letters picked without replacement from huhvhvuvhh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16479.\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4140217 greater than -4140216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(1*1\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2541 - -2537. Let q be ((-32)\/9)\/2 + 2. Let l = 13 - 12. Which is the smallest value? (a) q (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3707 - 3707. Let y(k) be the third derivative of 1\/15*k**5 + 0*k**4 + o*k**6 - 1\/3*k**3 + 12*k**2 + 0 + 0*k - 1\/105*k**7. Solve y(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 7*b = 10, 5*f + 16 = -2*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17041175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -1\/105*p**6 - 1\/735*p**7 + 0*p**3 - 6*p**2 - 1\/42*p**4 + 0 + 0*p - 1\/42*p**5. Find s such that v(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-35)*(-10)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjjjjcbwjjjjwjwcwwj. What is prob of picking 1 w and 1 j?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6189188 and 13288.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((176\/(-55))\/2)\/(63\/135*6)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**7\/5040 - z**6\/360 + z**4\/3 + 6*z. Let j(f) be the third derivative of u(f). Find p such that j(p) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + 41 + 126 - 84?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/2 + (-2)\/2. What is the second derivative of 3 + f*w**3 - 4*w - 3 - w**3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 4*g + 3*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 592, 1546, 3544, 6934, 12064, 19282, 28936?\nAnswer: 41374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-392))\/(18\/(-28))*-3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a*c*d - a*c*g - 2*a*d*g**2 + 6*a*d - 27*c*d*g**2 + 18*d wrt c.\nAnswer: 8*a*d - a*g - 27*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*z - 4, 2*m = 3*z + 5 + 1. Suppose -5*b - 3*u = -224, 2*b - 4*b + 3*u + 98 = m. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17970 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81446 and 1017882.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36551896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 626549895 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -0.02. Let p = 0.077 + -0.147. Let u = x - p. Put 0, -0.3, u in descending order.\nAnswer: u, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42711196 divided by 13252?\nAnswer: -3223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 39*u + 82.\nAnswer: -(u - 2)*(u + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141056552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15202408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*z + 8, 395*z - 400*z - 8 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4346 - -95635\/22. What is the common denominator of -107\/38 and m?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53853628663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -651400068*g**2 + 106083855 wrt g.\nAnswer: -1302800136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2250020 - 14212?\nAnswer: -2304232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51486209?\nAnswer: 2851, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxtxxyyxxyyyytyxy. What is prob of picking 2 x?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.31675 weeks in microseconds?\nAnswer: 3820370400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/35))\/o)\/o**(-23) assuming o is positive.\nAnswer: o**(807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-275)\/(-165))\/((-75)\/27).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 11*k + 32. Let r be h(-8). Let n be (-4)\/72*15*-6. Solve 0 = i - 5*y - r, -2*i - y + 0 = -n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479088267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -153\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/105 + 5*f**6\/12 - 287*f**4\/24 + 320*f**2. Find the second derivative of b(z) wrt z.\nAnswer: -24*z**2 + 300*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*p + 4*i - 206, -5*i + 60 = 2*p. What is the least common multiple of p and (16\/20)\/((-160)\/(-3000))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 0) + (-5 + (10 - 11) - -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 812\/39 + -5801\/273. Let o = -0.9 + 0.9. Which is the nearest to -57? (a) -0.2 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - r + 7, 0*u + 1 = -u + r. Put u, 58, -0.1 in descending order.\nAnswer: 58, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18520 by -2.\nAnswer: -9260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2853 divided by 6\nAnswer: 951\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**2 + 9*f. Let m(l) = -6*l**2 + 10*l. What is 3*k(c) - 2*m(c)?\nAnswer: -6*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2446 - -4896. Suppose 110 - r = -5*d. Does 78 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685.\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/10024 and 63\/2.\nAnswer: 10024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6093?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1265286, -2530587, -3795888, -5061189, -6326490, -7591791?\nAnswer: -8857092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0 - 3*i**2 - i - 7\/6*i**3. Differentiate j(v) wrt v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1582.1 (c) -3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*k + 202*k - 12644 = 2266. Let i = 6 + 21. Calculate the remainder when k is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2086.4 + -2085. Which is the closest to -2? (a) -2\/21 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -5*c + 70. Is c + 8348 - (2 + 4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*y + 1736 = -40*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/7)*d))\/(d\/(d\/d**5)))**23\/(((d*d*d**(1\/3)*d)\/(d\/d**(-2\/9)))\/(d**(-1)\/d)**39) assuming d is positive.\nAnswer: d**(-12085\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*d*k - 155*d + 296*k + 5 wrt d?\nAnswer: 21*k - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 88*g + 9*g**2 - 3*g**2 + 2 + 91*g. Suppose -158*i = -156*i - 12. Calculate n(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124626696853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from kdkydgkdkkd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Suppose 0 = 4*t + 11 + 93. What is the tens digit of 0\/(g + 3) - t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 184\/44 + 2\/(-11). Suppose h*v - 3 = 369. Let i = v - 45. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -62. Let r = -46 + p. Suppose 0 = -4*q + 3*g + 33, q - 15 = g + 2*g. Which is the smallest value? (a) q (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*7\/3*43. Let m = 318 + a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414204 - -1003313?\nAnswer: 34104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 4*a**2 - 13*a - 32. What is the remainder when 39 is divided by u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -301134\/7 at most as big as -43019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 18. Let r be 108\/h - 12\/(-30). Is (-3 - -7)\/4*r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1166 and -67\/1696?\nAnswer: 18656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-374\nAnswer: -74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2\/7 + 64*m\/7 - 136\/7 = 0.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (-2*sqrt(180) + 4).\nAnswer: -4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + k = -r - 5, -9 = -3*k. Let w(v) = -2*v + 8. Let g be w(-8). Let n = r + g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -676939.77 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1056 + -1037. Suppose -f + 2 = 0, -2*f - 6620 = w*o - 23*o. What is o rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 - 33*v + 202. What is q(6)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251072653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(396) + ((-2*sqrt(396))**2 - sqrt(396))*5 - (1 + sqrt(396))*-1) + ((sqrt(396) - (sqrt(396) + 3 + sqrt(396)))**2*-2 + sqrt(396))*5).\nAnswer: -23226 + 2088*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 3*i + i)*(-18 - 64 + 14) - 27*i + 0 + 6 - 2 - 4 in the form f + d*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 59*w + 0*w**3 - 7\/2*w**2 + 0 - 1\/2*w**4 - 1\/20*w**5. Give v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o - 16*o**3 + 1 + 18*o**3 - 3*o**2 - 3*o**3 as b*o + m*o**3 + g*o**2 + u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 759131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/860 - (3 - 3)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979886397?\nAnswer: 3, 7, 181, 257797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*i**3 - i*n - 221*i + 33996*n wrt i?\nAnswer: -42*i**2 - n - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 11474 = -206160. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -476*m*y - 231*y wrt m.\nAnswer: -476*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 6640 = -3*k. Suppose 417*y = k*y + 1218. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y + 180. Calculate the least common multiple of l(-10) and (-12*(-15)\/(-24))\/((-3)\/4).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2625 divided by 5\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.6. Suppose v = 5*m - 2*v - 6, -4*v + 24 = 4*m. What is the biggest value in -0.3, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 36 - 14 = 0. Let t = -6 + z. Let y = 6 - t. Solve -4*c - 10 = -y*w + c, -3*w + 10 = -5*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*x**2 + 49*x**2 + 45*x**2 + 48*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m - 4*q - 5, -q = 4*m - 22. Let c(k) be the third derivative of 17*k**5\/60 - k**4\/3 + k**3 + 8*k**2. Is c(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let l(y) = -2*y + 7. Let f(b) = -3*b + 3. Let v(w) = 13*w - 12. Let h(s) = -9*f(s) - 2*v(s). Let x(i) = -14*h(i) - 6*l(i). Calculate k(x(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(72) + sqrt(72) + -2 + 0 + 4 + 5*(-3*(sqrt(72) - sqrt(72)*2) + 0))**2.\nAnswer: 1020*sqrt(2) + 20833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + (47 + -80 - (-25 - (-20 - -11)))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2060 - 1053 - 1049 = -1702*o + 944 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3018791*z**3 - 4*z**2 + 12*z - 32. Let r be w(3). Let y = 126127325 - r. Round y to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3746 - 1892 + u - 1900)*(-1 + 5 - 1) in the form b*u + x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(1\/6)\/(m**(-2))**(1\/5) assuming m is positive.\nAnswer: m**(7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -0.0362?\nAnswer: -1.2308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 172141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*s + 25 = -2*j, -4*j + 5*s = -22. Let y = -5 - -10. Calculate the remainder when y is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 15*b**2 - b + 44. Give c(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j = 17 + 168 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.223 - 23.577. Let j = 26.94 + b. What is j rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*c + 420 = -168 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/28685 (b) 4\/7 (c) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -412, 28, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9270901229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 46. Let c(r) = r**3 + 4*r**2 - 6*r - 1. Calculate the smallest common multiple of u(21) and c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/10)\/(2552\/290)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73575*n**3 - 2910*n**2 - 6 wrt n?\nAnswer: -441450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (-84)\/(-15) + -1. Let s = 0.7 + -0.3. Let u = s + -0.6. Which is the biggest value? (a) j (b) u (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 335094 and 6813?\nAnswer: 760998474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q. Let v(j) = -j**2 - 3*j + 1. Let o be v(-2). Solve q = t + o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 158*y**2 + 2579*y - 153. Give h(56).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(5*78\/(-364)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 1:28 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 268047 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Let b = 5 - i. Suppose -f = -b*f - 19. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*27\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59116 - 118240 + 3668*x**3 - 1801*x + 293*x + 59123 wrt x?\nAnswer: 22008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z**3 - 27*z - 1. What is h(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 30 = -5*d - 10, 4*d = 2*p - 26. Solve y = -4*y - 5*o + 10, -p*y + o + 18 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 8 = 0, k + 4*h - 26 = 0. Suppose 10*z = 12*z - 20. Suppose -5*b + 0 = -z. Calculate the lowest common multiple of k and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/(45400\/(-1032850)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3711 (b) 0 (c) -1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -18*o**2 + 4*o - 7. Let u be c(8). Let w = -610 - u. List the prime factors of w.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135494041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 327, 8, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1983765, 1983760, 1983755?\n\"Answer: -5*l + 1983770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6 + 6 - 37*q. Let t(c) = -c**2 - 8*c + 6. Let a be t(-7). Let v(m) = -m - 12*m - 2*m**2 + a*m. Give v(b(h)).\nAnswer: -2738*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:09 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -344719\/61 - -5651. Is a equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112748.\nAnswer: 2, 11, 48017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + w**2 - w**2 + 4*w**3 + w**3 - 2*w**3 + (-2*w**2 + 4*w**2 - 3*w**2)*(4*w - 5*w + 0*w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 - (-4)\/(-3 + 1). Suppose 5*p - u = -5*r, 16 = -p - 2*r + 7*r. Is p at most 1\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 17\/60*d**5 + 1\/40*d**6 + 0*d + 0*d**3 - 1\/105*d**7 + 0 - 46*d**2 - 1\/12*d**4. Find the third derivative of s(f) wrt f.\nAnswer: -48*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asppsppdspdpaduu. What is prob of sequence sup?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1504)\/1974*4\/32\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466259 + 14953261\/32. Let o = -1032 + s. Calculate the common denominator of o and 11\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1927042*g**5 - 6*g**2 - 7686*g - 100 wrt g.\nAnswer: -115622520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + 5 + 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5\/29, -0.1, 3, 320?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -648, -2\/13, 0, -1.\nAnswer: -648, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v + 52. Let s = -8 + v. Factor -2\/7*o**4 + 0*o + 0 + 2\/7*o**2 - 2\/7*o**3 + 2\/7*o**s.\nAnswer: 2*o**2*(o - 1)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*z**3 + 688 + 934 - 1622 - 11*z**3.\nAnswer: -73*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-30))\/(1\/(55\/297))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1259?\nAnswer: 1\/1259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*((4 + sqrt(45))*1 + 5 + sqrt(720) + 0 + sqrt(720) + -1 + 0)**2.\nAnswer: 2160*sqrt(5) + 18545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.039? (a) 2 (b) -0.033 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*x - 103. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3096)\/2408 + (-1244)\/(-1806) + 4\/6.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7*v**(-4\/7)*v)**(1\/11)*(((v\/(v\/(v**(-11)*v*v)))\/v)\/((v*v**(-3\/10))\/v))**33 assuming v is positive.\nAnswer: v**(-245887\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/155 - 763\/930. Which is bigger: 1\/3 or v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(sqrt(847)*2*-1 - sqrt(847) - sqrt(847)))**2*-1 + 0.\nAnswer: -1355200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2051*k + 7006*k - 1986*k + 10752*k + 6497*k.\nAnswer: 20218*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3066\/584)\/((-13)\/(104\/33)).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94530119143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390.1 + 393.1. Which is the smallest value? (a) 1\/4 (b) x (c) -0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 7*x - 1432483. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2\/3 (c) -4\/11 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/22)\/(240\/5280)*-4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.1. Let a = 1 + 2. Let c be (48\/18)\/(2\/a). What is the smallest value in c, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2, 5, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16*-7.43\nAnswer: -118.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -752 + 519. Let y = z + 238. Solve 0 = -b - b + 3*l + y, 4*l - 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536)*-5)\/(sqrt(588)*-5).\nAnswer: 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let p(v) = 4*v**3 + 3*v**2 + v + 169. Let b(o) = 3*f(o) + p(o). What is the first derivative of b(i) wrt i?\nAnswer: 12*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - 1*sqrt(162))\/sqrt(6))\/(sqrt(27)\/sqrt(3)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*p - 31*p = -46*p + 13950. Calculate the least common multiple of 561 and p.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 + 103*z + 471. Is o(-41) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2, -2\/15, -60501, 0.6, 1.\nAnswer: -60501, -2\/15, 2\/13, 0.6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 6*p + 2. Suppose -2*u - j - 7 = 0, 0 = -0*j - 5*j + 25. Determine h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 4. Let b(d) = -d**2 + 2. Let u be b(n). Is 13 a factor of (u\/3)\/((-4)\/114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97 - 7*w + 97)*(36*w - 7*w + 46*w)*(0*w**2 + 4*w**2 - 3*w**2) to f*w + b*w**4 + h*w**2 + k + c*w**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 246944, 494452, 741960, 989468, 1236976?\n\"Answer: 247508*v - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101231238 is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8\/77 (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) + (sqrt(170) - (3*(sqrt(170) + sqrt(170)*3) + sqrt(170)))))\/(1*sqrt(640) - sqrt(10)).\nAnswer: 12*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 - 389*w**2 + 779*w + 8517. What is j(-99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, -3120, -9 in ascending order.\nAnswer: -3120, -135, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqom when four letters picked without replacement from qqorofmzzozff?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -482, -491, -500, -509, -518?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 123 = -3*b, -7*k = -2*k + 2*b - 122. Let x = 4 - k. Calculate the least common multiple of 5 and (x\/5 - -16) + -1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 - (-55540)\/16 - (-49)\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**3 + 17*c**2 - 4*c. Let s be u(5). Suppose -5921 + s = -17*l. List the prime factors of l.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {s: 1, w: 1, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 13*w**2 + w**3 - 1 - 13*w**2 in the form t*w**2 + n + a*w + r*w**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -69 (b) 2\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1748 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = 4*p, -7 = -5*p + 4*z - 0. Suppose -3*s = 3*v - 2 - 16, v - 2 = p*s. Which is smaller: 4 or v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524 + (7\/(-21))\/(11\/264) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*s, 6*o = 3*o + 3*s + 30. What is the greatest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -442, -828, -1472, -2374?\n\"Answer: -129*f**2 + f - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - h**2 + 4*h**2. Let k(i) be the third derivative of -1\/24*i**4 + 0*i**3 + 0 - i**2 + 0*i. Calculate k(q(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 4*l - 7, -v + 1 = 579*l - 575*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -969*p**2*r**3 - p**2*r**2 + 2*p**2*r - p*r**3 + 9*r**3 - 25512*r wrt r?\nAnswer: -5814*p**2 - 6*p + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/12 - 4*r**3\/3 + 9*r**2\/2 + 18*r. Let p be -1*6 + -1*3. What is h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -60852 and -276.3?\nAnswer: 60575.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98918250 minus -0.4?\nAnswer: 98918250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {u: 1, p: 2, x: 2, c: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d**2 - 16*d**2 + 13*d**2)*(-7*d**3 - 2*d**3 + 10*d**3) + 3*d**5 - 6*d**2 + 10*d**5 + 4*d**2.\nAnswer: -9*d**5 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 0, -3*n + 23 + 10 = 4*k. Let b be (1\/2)\/((-4)\/(-88)). Let u = b - k. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 3*y + 162, 0 = -2*s - 5*y + 101. Suppose -4*h = 9 - 5. Calculate the remainder when s is divided by 18 - (-5 - h - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173913711?\nAnswer: 587, 1999853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2)*(f + 2 - 2) + (-2 + 3 + 1)*(-3*f + 3*f + 4*f) as a + m*f and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29327 + -17368. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/70 - -1)*(1 + -22). Solve -15*m = u - 13*m + 3, -m + 16 = -d*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17412, 8\/251, -3, -0.3?\nAnswer: 8\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63047.99497 + 62101. Let l = -947.805 - -0.805. Let d = l - w. Round d to four dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 2. Suppose 0 = 4*v - 5*f - 37, 2*v - f = 4*f + 31. Let g be y(v). Suppose n = -g*n + 335. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/503383 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181624 or 181627?\nAnswer: 181624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2. Let l(w) = -271*w**2 + 3*w - 12. Determine l(y(p)).\nAnswer: -2439*p**4 + 9*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 4*w - 4 + 4*w**3 - 6*w**3 + w**3 + 0*w**2. Let u be 6\/(-57) + 110\/(-38). Give i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 63 = -6*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344299092 divided by 114766364.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150218\/181 or -829?\nAnswer: -829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4020304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118616046 less than 118616049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**5\/2 - 2*y**3\/3 - 2*y**2 - 3348*y. What is w(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 6*l**2 - l**2)*((3*l**2 - 2*l**2 - 2*l**2)*(-3 + 5 - 1) + 2 - 2*l**2 - 2 - 140*l**2 + 99*l - 97*l - 150*l**2).\nAnswer: -2344*l**4 + 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1809, 1684, 1483, 1212, 877, 484, 39?\n\"Answer: x**3 - 44*x**2 + 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/43, 42, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybynyb. What is prob of sequence ny?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*u**3*w**2 - 67*u**3*w + 2*u**2*w**2 - 7*u*w**2 - 132*w**2 + 255*w wrt w?\nAnswer: 60*u**3 + 4*u**2 - 14*u - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(2900\/75) - 82\/4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026643 to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:02 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + (-20 - ((13 - 28) + 16)) + -65.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Let a be r\/(2\/1 + -4). What is the units digit of 12\/3 + a + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vava when four letters picked without replacement from {v: 5, z: 4, a: 3}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.087 + 2.213. Is m <= 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 11. Let j be l(13). What is the second derivative of j*s**4 - s - 12*s - s wrt s?\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*148390\/2343.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*((q*q**3)\/q*q)\/q)\/((q**(-1)\/q)\/q**6) assuming q is positive.\nAnswer: q**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k, 180*g - 183*g = k - 4116. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-1)\/(-1))\/((-11)\/(-11)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 182*l**2 + 8*l + 19. Let q be w(-9). Let u = 469999\/32 - q. Calculate the common denominator of u and -19\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -11449.276.\nAnswer: -57246.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*c + 8, 0 = 5*u - 3*c + 13 + 1. Suppose -t - 3*z = -2, -4*z = -5*t - 7*z - 14. Is t <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/12 and 5\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 11*f + 8. Let k be w(12). Sort k, 3, -2 in increasing order.\nAnswer: k, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-1078)*27118\/(-15496)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/(45\/54)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018034 to 6 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5505174 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*h + 92*h + 86*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0267468 and 0.4.\nAnswer: -0.01069872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(10\/3)*q\/q**12*((q\/q**0*q)\/q)**(-21\/2) assuming q is positive.\nAnswer: q**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8468.677mg to micrograms.\nAnswer: 8468677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 488 - 68 = 0. Suppose -4*n = 5*d - 151 + s, d - 95 = -4*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -63, -110, -157, -204, -251?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.4, -1\/7 in decreasing order.\nAnswer: 7, 0.4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*q - 832*q**2 - 80*q + q**3 + 832*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 774763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 424 = 5*s. Let k(l) = -l**2 - 7*l + 1. What is the remainder when s is divided by k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 5*s = 20. Suppose -5*x - 508 = -4*n, s*n - 5*x = -0*n + 635. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35267, 35266, 35265, 35264, 35263?\nAnswer: 35262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:37 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71669813?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251456 is divided by 10516?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 0.14 (b) -0.09 (c) -0.4 (d) 2.2 (e) 0.1 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*i - 1216*i = -58 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12584208, -25168419, -37752630, -50336841?\nAnswer: -62921052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + l - 44*l)*(-8622*l**3 + 8622*l**3 - 70*l**4).\nAnswer: 2660*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzz. What is prob of picking 1 z and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2454 - -2453.3. Let f = 1.8 + -2. Let r = f + 0.7. Which is the third smallest value? (a) d (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/3 + (-100)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16)*1\/(-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 7:59 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 2297748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2079*t**2. Let j(b) = -3*b. What is j(o(c))?\nAnswer: 6237*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001446 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, m: 7, o: 5, t: 4}. What is prob of picking 1 o and 2 m?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 33*b**2 - 15*b + 12. Let l be t(7). Let c = l + -833. Let i = -468 + c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l - 4*j - 75, -l - 2*j - 73 = 0. Let b = l - -74. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/w)**(-1\/10) assuming w is positive.\nAnswer: w**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94.648*-16.\nAnswer: -1514.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 49\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 11*m + 2*j - 12, 4*m - 4*j = -16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 24. Let l(u) = -w - 8*u**2 - u**2 + 0*u**2 - 6*u + 8*u**2. What is l(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzv when four letters picked without replacement from ddzvaddzdaadzyzd?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*g**4 + 28*g**4 + 23*g**4)*(5 - 2 - 15) to c*g**3 + j*g**2 + b*g + s + n*g**4 and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.2. Let x = -5.89 - 0.11. Let a = x - -5.9. What is the closest to a in 2, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -7, 681 in increasing order.\nAnswer: -7, 5\/3, 681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173023 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 114.93 (b) -7 (c) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 15*t - 40. Let n(y) = 4*y + 57. Calculate the least common multiple of p(6) and n(5).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 3*m - 2*m)*(0 + 0 + 2)*(70*m + 105*m - 110*m) to the form g*m + p*m**2 + r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*j - 108, -j - 1 = 3*g + 75. Is 7*5*g\/(-20) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-49) + (-156)\/(-91).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 40 = -6*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 47, 0, 3\/2, -2\/59, -2\/13?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 111*b**3 - 3240*b**2 - 8748*b.\nAnswer: -b*(b + 3)*(b + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfzzzpfzzzzzzzf. Give prob of sequence fzp.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 7*j**2 - 6*j + 7. Let x be l(6). Let m be 0*((-15)\/(-6))\/(-5). Suppose -9 = -3*r + 5*b, -4*r + 3*b + 5 + x = m. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84666.56 millilitres to litres.\nAnswer: 84.66656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 6*n**2 + 7*n + 5. Let i be f(-5). Let q = 32773 + -32772. Let u = 1.1 + -1. Which is the biggest value? (a) i (b) u (c) q (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*-4*sqrt(204)*-4)\/(sqrt(60)\/sqrt(180) - (sqrt(48)*4 - sqrt(48))\/sqrt(4)).\nAnswer: -2304*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 7:27 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28260)\/882 + (-34)\/(-833).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -77*m. Let s(n) = -6*n**2 - 2*n - 2. Let k(r) = 26*r**2 + 9*r + 9. Let v(j) = -2*k(j) - 9*s(j). Determine w(v(y)).\nAnswer: -154*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 2093288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 7*r**2 + 3*r + (-2 - r + 2)*(2 + 2*r - 2) - 2*r**2 + r**2 + 0*r**2 + (-2*r - r + 2*r)*(r - 5*r + 2*r) as q*r**2 + s*r + c and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k - 9. Let i be a(2). Suppose -i*w = -0*w - w. Is 5\/14 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10413 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 3)\/(0 - -2). Let r(n) = n - 6. Determine r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*h - 262 - 129 = 0, 4*r + 5*h = 1599. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p + p**3 + 0*p + 15*p + 3 + 2*p**4 + p**2 in the form t*p + f*p**4 + c*p**3 + u*p**2 + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.469165ml to litres.\nAnswer: 0.005469165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*h = 41305, 0 = -4*p - 15*h + 10*h + 33081. What are the prime factors of p?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2558 + 2669. What is the second smallest value in -2\/11, n, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.21, -2\/11, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -417118 divided by -1?\nAnswer: 417118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24184995 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35355 and 120207?\nAnswer: 601035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1708?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 8\/3691923 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 12528?\nAnswer: 62640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/20 - (-44)\/10. What is the units digit of 20 - (-2)\/(u\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(240))\/sqrt(12))**2 + (2 + sqrt(5) + 0 - sqrt(5))*3.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldydrzlzzl. What is prob of picking 1 l and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6710.\nAnswer: 2, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 - 3*t - 5. Let w be h(8). Suppose -d + 2*o + 273 = 0, -2*o = -3*d + w + 188. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49755, -49754, -49753, -49752, -49751?\n\"Answer: b - 49756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:53 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -2. Let r = z + 6. Let x = r - 1.8. Put x, -2, -1\/4 in increasing order.\nAnswer: -2, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0 = -3*r + 15, 2*b + 20 = 4*r. Suppose b = 128*v - 136*v + 2960. What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*0.4\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 23. Give s(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10011001001010110100000 (base 2) to base 11\nAnswer: -2918974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/i**(8\/3))*i*i)\/i**(3\/2)*((i**(-1\/19)\/i)\/i*i*i)**(-36) assuming i is positive.\nAnswer: i**(805\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10845 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: Solve -2*s - 1029 = -13*a, -2509403*s + 2509402*s - 5*a + 394 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-465)\/(-558))\/(10\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*x = -89 - 187. Let l = 10 + -10.2. Let o = l - 0.2. Which is the nearest to -0.03? (a) -1 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:16 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (7 + -8 - (-5 + 12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/9 + (0 - -1) + 3417\/1809. Solve 49*u - 46*u - 3 = 2*o, -2*u + y*o = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3165099 by 452157.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -96 + 3*b + 37 - 17*b**2 + 87 + 5*b. Let g(t) = -4*t**2 + 2*t + 7. What is -9*g(v) + 2*r(v)?\nAnswer: 2*v**2 - 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 3*t + 58 - 108.\nAnswer: -3*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15962 + 54.15962. What is the closest to -0.3 in -2, 3, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26931 and 39621.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -1\/945*k**7 + 0*k + 0 - 1\/90*k**5 + 4*k**2 + 0*k**3 - 1\/108*k**4 - 1\/180*k**6. Solve x(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 7, -3, 1 in descending order.\nAnswer: 7, 1, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 416353 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11101034232 - 11?\nAnswer: -11101034243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -1. Let f = 1 - 2. Suppose 0 = -4*b - 3*g + 13 + 4, -2*b - 11 = -5*g. What is the nearest to f in b, a, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49894 - 49894 - 35*m.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 13*g - 35. Calculate c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 93*o**5\/20 + 16*o**4 - 122*o**3 - 24*o**2 - 14*o - 1. Solve l(x) = 0.\nAnswer: -4, -2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 6.5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46.61 and 0.5.\nAnswer: -23.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*310\/75*((-20)\/100)\/(16\/(-200))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -10*p + 113. Let d = -28 + p. Let k(u) = 2*u**2 + 19*u - 11. Is k(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*k*z**6 - 7*k*z**4 + 4122*k*z**2 - 3*k + 4*z**3 wrt z?\nAnswer: 8520*k*z**3 - 168*k*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194715 is divided by 184.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, v: 3, e: 3}. Give prob of sequence gvv.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 less than or equal to -1\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.13 - 6.13. What is the second biggest value in -0.5, -0.99, z?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 42*u - 48*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -31681081434.\nAnswer: -31681081437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1214? (a) 5 (b) -2\/17 (c) 1 (d) 0.06 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 26734*v**2 + 6*v - 8. Let p be c(7). Round p to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -665, -1337, -2023, -2729, -3461, -4225, -5027, -5873?\n\"Answer: -m**3 - m**2 - 662*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - 6. Let o = d - -51. What is the tens digit of (15\/o)\/(9\/66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244914 by -1.\nAnswer: -244914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -49360 divided by -12340?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8475\/6812 + 10\/1703. Which is the nearest to -0.1? (a) 1 (b) -5\/3 (c) 3\/2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1278 and -0.50016.\nAnswer: -0.063920448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4319 = -858*j + 2171 - 28798 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 266, 1028, 2298, 4076, 6362, 9156, 12458?\n\"Answer: 254*c**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -165 - -5?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1081984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:35 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 4. Let c be (o + 2 + 239)*1. Suppose 5*w - 2*w = -c. What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97429200?\nAnswer: 2, 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(-11) - (-8)\/(-44). Suppose -v*i + 9*i = -50. Let x be (16\/i)\/((-18)\/45). Solve 2*u = -5*w + x, -w + u - 1 = 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 86811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*i - 5*v - 1, v = -3*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/210 + p**4\/21 + 84*p**2. Let n(f) = 0. Calculate f.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8055945\/8 + 1008801. Let j = a + -1816. Find the common denominator of 89\/10 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 3 (b) 0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 4:00 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3468 is divided by 577.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-9\/4))**(-12))**(1\/47))**27 assuming j is positive.\nAnswer: j**(729\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 99. Let s = y - 71. Sort -3, s, 2.\nAnswer: s, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 24, 56*r + 44 = -3*g + 60*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/35*(-10)\/(-3). Let z be (3 + -2)*(11 + g). Suppose -z*p + 16 = -2*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 7*i**2 + i + 9. Let h be q(-7). Let y = 4 - h. Let z be (-56)\/16*20\/(-7). Solve -2*f = 2*o - 6, -1 = -o + y*f - z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/10)\/((-210)\/1575*(-1)\/(-2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*m - 17937*f**3 + 4677*f**2*m - 101*f*m - 28*f - 1 wrt m.\nAnswer: f**3 + 4677*f**2 - 101*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 295 - -93?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (819618\/(-8))\/(90\/12). Let m = l + 13649. Let i = -3077\/4 + 787. Find the common denominator of i and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1152*k**4 - 5614*k**3 - 71117049*k**2.\nAnswer: -27648*k - 33684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 12 - 8. Suppose 5*h + 43 = t*v, -2*v + 3*h = 4*h - 25. Let c = v + -9. Solve 3*q + 2*p = -16, -5*q + c*p - 16 = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n - 40. What is the greatest common divisor of 100 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364092669 divided by -6519?\nAnswer: 55851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18780*b*k*w**3 - b*k - 16*b*w + 3*b + 21*k*w**2 - 71*k*w - 1223*w wrt w?\nAnswer: 112680*b*k*w + 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.549356l to millilitres.\nAnswer: 549.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:57 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -16, -23?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*u + 2 = 0, 3*z - u = -3*u + 5. Calculate the remainder when (-1)\/((-2)\/20) + z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m = -235*m - 4572 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1021 + -1019. Let n = 191\/21 + -26\/3. Sort t, n, -4.\nAnswer: -4, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4160, -5017, -7338, -11855, -19300, -30405, -45902?\nAnswer: -66523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*s - 7, -4*u = s + 2*s - 23. What is the second derivative of -5*a**5 + 5*a**5 - 5*a**u - 4*a wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11671 (base 9) to base 4.\nAnswer: -1322200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g**3 - 289*g**2 - g. Let d(t) = -14*t**3 - 280*t**2 - t. Give 10*d(s) - 9*l(s).\nAnswer: -5*s**3 - 199*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 223 + 79. Let w = 49302 + -49277. Calculate the remainder when p is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 2, e: 4, f: 1, j: 3}. What is prob of picking 1 e, 1 j, and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -1 + -14 + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2743, -5505, -8267, -11029?\n\"Answer: -2762*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w + 46*w = -4*g - 23, -w = 4*g + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/288 and 137\/126.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5*p*(p\/((p\/((p**19*p)\/p*p*p))\/p*p*p))\/p assuming p is positive.\nAnswer: p**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40 * -0.01\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 706 and -3.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -120?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.008 + 0.468. Let f = 0.96 - q. Put f, -0.5, 3, -0.2 in decreasing order.\nAnswer: 3, f, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:19 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*n + 15 = 0, -5*l = -9*l - 5*n + 23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9273 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 4*u**2 + 6*u - 6. Let w be t(5). Is 728\/16 - w\/2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + 3)\/(-1)*1. Suppose -1284 = -v + d*v. Let g = 341 + v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4 - 2394*j**3 - 79074*j**2 + 2619298*j - 16028628 = 0. Calculate j.\nAnswer: -1162, -57, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15130 - 3?\nAnswer: 15125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9198*a**3 + 9204*a**3 - 18399*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0 (b) -0.3 (c) -9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -92356713 divided by 191\nAnswer: -483543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -57\/7. What is the closest to -1 in a, 3, 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**2 - 4*q**2 - 9*q**2 - 9 + 23*q**2 - 5*q - 3 to d*q + t*q**2 + v and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111300*z - 5450 = 111082*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 14 - (4 + 6 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2. Suppose 2*u - 715 = -3*u. Let y(j) = 138*j + 0 - u*j + 0. Determine l(y(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -48074?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 32*a - 168. Determine x(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v + 2. Let j be a(-2). Let u(g) = 1581*g + 5 - 3 - 1 - 1515*g. Is u(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3791, 4011, 4651, 5921, 8031, 11191, 15611?\nAnswer: 21501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 21*p**3 - 9*p**2 + p - 2. Let u(r) = 106*r**3 - 48*r**2 + 4*r - 14. Give -11*n(g) + 2*u(g).\nAnswer: -19*g**3 + 3*g**2 - 3*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 (base 8) in base 6?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**3 + m**2 - m - 3. Let s(z) = 20*z**3 + 2*z**2 - 3*z - 8. Suppose t = 0, -5*t + 10*t = -2*b - 12. Let y(v) = b*s(v) + 17*p(v). Calculate y(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (5 + -12 + 4). What is the second biggest value in 4, j, -42?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 13*q + 17. Let y be f(-12). Suppose -5*h + 32 = -8*h + 5*v, 0 = -y*v + 20. Is (-69)\/(0 + h + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 5 (b) 806489 (c) 2 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.077, 6?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*l + 832 + 4048 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q = 0. Suppose -5*m + 4*b + 44 = q, -2*b - 18 = m - 3*m. Calculate the smallest common multiple of m and (-49)\/(-5) + 2\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6505*y**2 + 26859 - 13316 - 13378 - y wrt y?\nAnswer: -13010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/136)\/(273\/104).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 + 1 - (31 + -34)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -265*w - 248. What is the tens digit of v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s**2 - s. Let b be (-3)\/12 + 45\/(-12). Let i be r(b). List the prime factors of (i\/(-5))\/((-8)\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49709 * 9\nAnswer: -447381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -608\/7 + 87. Which is the smallest value? (a) j (b) 70 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:41 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 96, 212, 340, 486, 656, 856, 1092, 1370?\n\"Answer: w**3 + 109*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 5 = 5*z - 15*r + 13*r, -2*r = z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 - k**3\/3 + 32*k**2 - 11*k. Let w be i(0). Let u = w - -20. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 505623.\nAnswer: 505628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -76*c + 644. Let n be d(8). What is n rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021809 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484729?\nAnswer: 17, 87337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 3, -253629.\nAnswer: -253629, -188, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsbs. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5441 divided by -5478\nAnswer: 5441\/5478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 0.1, -5, 4, 5, 121\/4, -168?\nAnswer: 121\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 410983 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, z: 3, y: 2, v: 9, t: 1}. What is prob of picking 1 y, 1 b, and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Suppose l + 2*b = 2*l - 6, 45 = -c*l - 5*b. Put 0.1, 4, l in ascending order.\nAnswer: l, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -398330 = -922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31555?\nAnswer: 5, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4844\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2 + (-1)\/(-2)) + 53. Let j = -34 - -56. Calculate the greatest common factor of j and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from jjjjjvjjjlljjjjlll?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/20 + 237\/15. Suppose 36 = 5*d + z, -5*z = -3*d - 20 + 64. What is the tens digit of j\/(1\/(-18*(-2)\/d))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4310000 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300 - 4*x**3 - 4*x**3 - 690*x**2 - 5*x**3 + 16*x**3 - 299 to z*x + q + t*x**3 + f*x**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k + 3. What is the remainder when v(8) is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3, -2*p + 4*t + 8 + 6 = 0. Suppose j - 16 + p = 0. Solve 0 = -k - 8 + j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -17 (c) -0.2 (d) 1\/6 (e) -1\/10 (f) -0.3 (g) -1.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(605) + -1)*6 + (-1 + sqrt(605))*1 + 3 + -5)*-4.\nAnswer: -308*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 3088 - 1638 = 5603. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 9) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9730894*a*q**3 - 60*q**3 + 11*q**2 - 1762*q wrt a?\nAnswer: -9730894*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 188*-19\nAnswer: -3572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c**2 + 25*c**2 + 25*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072106 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 1696*b**2 - 4724*b + 1285200.\nAnswer: 4*(b - 425)*(b - 27)*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3419*b + 2083*b - 276002 = 475*b + 349*b for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/11 + 1685820*k\/11 - 3371648\/11 = 0. What is k?\nAnswer: -842912, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 27) + 21 - -4 - 65?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -185, -754, -1703, -3032, -4741, -6830?\n\"Answer: -190*n**2 + n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -10. Suppose 3*k - 300 = -s, k + k - 200 = j*s. Let r = 901\/9 - k. Is r equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1341 + 6701\/5. Which is the nearest to -2? (a) 1.8 (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hih when three letters picked without replacement from ihh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**3 - 3*c**2 - 212*c + 4. Let v(t) = 5*t**3 + 3*t**2 + 214*t - 3. Determine -3*d(z) - 4*v(z).\nAnswer: -2*z**3 - 3*z**2 - 220*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -21*y**2\/2 + 4*y + 1118. Let o(n) = -3*n. What is j(o(u))?\nAnswer: 63*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 minutes before 3:06 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85707901*t**4 - 65575747*t**2 wrt t.\nAnswer: -2056989624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*p**3 + 2*p**2 + 8*p**2 + 9*p**2 wrt p?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*k + 352 - 340, g = 2*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -ad (base 14) in base 5?\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-105)*16\/(-32)*(-2)\/(-33)\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95082 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3503611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 203850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l - 1426241 + 713124 + 713117.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 2*k - 1. Let g(b) = b**2 + b - 9. Let o be g(3). Suppose 5*y = -3*q - q + 24, 5*y - o*q = 17. Calculate z(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12*b. Let w(c) be the second derivative of c**4\/4 - 8*c. What is w(x(q))?\nAnswer: 432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a gram in milligrams?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40705457 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 1668805.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd085 - -2dd?\nAnswer: -bcc97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*s**4 - 8*s**3 - s**2*x + s*x + 16*x - 2 wrt s?\nAnswer: -264*s**2 - 48*s - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1278*a**2 + 3855*a**2 - 1287*a**2 - 1286*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 - 34*y**4 - 115*y**3 + 150*y**2.\nAnswer: -y**2*(y - 1)*(y + 5)*(y + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -236*n**2 + 25*n - 42. Let f(u) = 708*u**2 - 77*u + 133. Give 6*f(s) + 19*k(s).\nAnswer: -236*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 50. Let t = s + 23. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8796 = 47*x - 8655. Let p(a) be the first derivative of a**4\/4 - 4*a**2 - 2*a - 2. Calculate p(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1)*z*z)\/(z**(2\/19)*z))\/(z**5\/(z\/z**(-4))))\/((z\/z**(-1\/2))**(3\/2))**(-2\/21) assuming z is positive.\nAnswer: z**(295\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 85?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 87*l**2 + 148*l + 30. What are the prime factors of q(9)?\nAnswer: 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -346, -3, 7, 3, -2.86 in descending order.\nAnswer: 7, 3, -2.86, -3, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03772014 - 0.1.\nAnswer: -0.13772014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 + 6 = 0. Suppose -4*k - 125 = -m, -216 = -m - u*k - 56. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 1683, 3695, 6489, 10065?\nAnswer: 14423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + ((-408)\/(-108) - 6\/(-27)). Let h be 17 + (4 - t - 5). Which is smaller: h or 67\/6?\nAnswer: 67\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 491, 2004, 4519, 8036, 12555, 18076, 24599?\n\"Answer: 501*x**2 + 10*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + n + 2*n + 6162, 3*o - 5*n = 6154. Suppose 10*p + 4*p = o. Calculate the greatest common divisor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h. Let m be z(2). Let t = -13 + 16. Suppose -2*j - m*o = -18, 6*o - t*o = -4*j + 31. Calculate the remainder when 6 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5423, 5432, 5441, 5450, 5459, 5468?\n\"Answer: 9*r + 5414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 4. Give h(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*0 + 5 + -3. Solve -v*w = -9 + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -7.171.\nAnswer: -7.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*k = -16, 43*k - 38*k = -g - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(12) - -2*sqrt(192) - sqrt(84)\/(sqrt(14)\/sqrt(2))) + 5*-2*sqrt(108)\/(-3*sqrt(9)).\nAnswer: -76*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -147 + 8469. List the prime factors of k.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 3*c**2\/2 - 2*c - 1. Suppose -h - 3*h = 0. Suppose 4*r = -h*r + 40. Let t(b) = -7*b + 5. Determine r*z(k) + 4*t(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 69*j**2 - 715*j - 26. Let k be g(10). Is -250 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 10*k - 5*k**2 - 5 - 6 - 5.\nAnswer: -5*k**2 - 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170 - 30*d - 170)*((3 - 1 - 4)*(d - 2*d - d) + 3*d - 4*d + 0*d).\nAnswer: -90*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 2*k**2 + 6*k + 3. Let t(s) = -3*s**3 - 4*s**2 + 11*s + 5. Determine 5*b(m) - 3*t(m).\nAnswer: -m**3 + 2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -42, -38, -36, -36?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 6*z**4 + 4*z**3 + (-1 + 1 - 2*z**3)*(z - 5*z + 2*z) + 3*z**4 - 6*z**4 + 4*z**4 + z**4 + 0 + 0.\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -i + 5 - 1, 4*i - 1 = -3*k. Which is the nearest to -0.2? (a) i (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7685 is divided by 1847?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20091 (base 14) in base 9?\nAnswer: -126510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116\/3 - 461\/12. Put 0.6, c, 3 in increasing order.\nAnswer: c, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2. Let m(u) = 280*u**2 - 119*u. Let w(y) = -7*y**2 + 3*y. Let b(l) = -6*m(l) - 238*w(l). Give q(b(o)).\nAnswer: 392*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 + 7 = 0. Suppose -l + z - 1 = 0. Solve -l = 2*p - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2306*b**2 - 21 + 39 + 2305*b**2 - 18.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -1, -4, 42, 10.\nAnswer: -4, -1, -1\/9, 10, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 46 + 114 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 3*y + 194, -4*g - 4*y = -396. Suppose 2*o - 43 = g. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 + 9.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 4. Let z be t(-4). Let k be (-9)\/z - 806\/(-8). Suppose -5*w = -5*m - 0*m + k, 0 = 5*m - 2*w - 103. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909679.\nAnswer: 909679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 2. Give f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.108970684 and 3.\nAnswer: -0.326912052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3128?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 119 - 68 + 74*h.\nAnswer: 74*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2. Let k(p) = 324325*p**2. Give l(k(i)).\nAnswer: 210373411250*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x - 10 = 0. What is the tens digit of 20\/(-25)*x\/2 - -120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 63 = 6*q + 2*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40426.355 - 1250061\nAnswer: -1209634.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = 2*w - 0*w, 2*w - 16 = j. Let d be (-5)\/6 + 5\/w. Solve r + 2 = -3*h - 8, 2*h + 4*r = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000190833269 to 7 dps.\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**2 + 10*x - 16*x - x**2 - 9*x**3 wrt x.\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 13775040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 3. Let o be g(4). Let v = o - 20. Suppose -39 = 6*k - v*k. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/13221 and 19\/6.\nAnswer: 26442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10444*d**2. Let l(a) = 613*a**2. Give l(u(r)).\nAnswer: 66864284368*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -6. Let f be (11\/r)\/(7\/(63\/(-30))). Put 2, -2, f in increasing order.\nAnswer: -2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 22*d**2 + 84*d + 9. Give i(-3).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1000)\/120)\/(10 + 455\/(-39)). Let s = -1 + 1. Suppose -2*y - 5*u = -s*y - 3, -4*y - 5*u = -11. Solve 9*m - y = x*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222685\/1489 <= 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o - 17. Let b(x) = -3*x + 6. Let a(d) = 7*b(d) + 2*t(d). Determine a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, -1\/491, -0.1, -3\/8, 0.03, -2\/7?\nAnswer: -1\/491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 = d, -2*d - 9 = -2*y + 5. Suppose -4*f = 2*i + y - 29, -2*f + 2*i = 4. Let s(u) = -3 + f*u**2 + 4 - 1. Let t(p) = 2*p**2. What is t(s(v))?\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g + 11*g**2 - 32*g + 92*g - 31*g.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 17*y**2 + 28*y + 10. Let z be q(15). Let p be (-4)\/(-10)*z\/(-4). Factor 2\/3*j**4 + 2\/3*j**3 - p*j**2 - 4\/3 - 10\/3*j.\nAnswer: 2*(j - 2)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30496 is divided by 851?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42230 = y - 42244 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8032 + -4.7.\nAnswer: -6.5032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 divided by 189?\nAnswer: 202\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 4*m**2 + 2*m + 3. Let t be p(-4). Let l be ((-8)\/16)\/(10*(-15)\/(-12)). Put 3, l, t in ascending order.\nAnswer: t, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -65 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 + 8 = 4*h, -f + 18 = -4*h. Let z(y) = -y + 3. Let b be z(3). Solve b = -k + f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + p - 8. Let d be x(6). Suppose -4*n + n + 131 = 5*c, c - 19 = -3*n. Calculate the highest common divisor of d and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = 5*a, 3*n = a + 13 + 7. Suppose n*z - 160 = 8*z. What is z rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 28*l**5\/5 + l**4\/4 - 6885*l**2\/2 - 1935. What is the second derivative of a(b) wrt b?\nAnswer: 336*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 214162, 428442, 642722?\n\"Answer: 214280*n - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -35. Suppose -4*i + t = -i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8482 (base 9) to base 3\nAnswer: 22112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108)\/sqrt(3))\/sqrt(12) - ((sqrt(363) + 0 - sqrt(363))**2 + (sqrt(12))**2 + 4).\nAnswer: -16 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 941101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*b = -7*b + 369, -4*m + 464 = -4*b. Let y = -89 + m. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103 and 10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/9 + 73*n**4\/9 + 206*n**3 + 2142*n**2 + 8505*n + 6561 = 0.\nAnswer: -27, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*p + 118. What is the smallest common multiple of p and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 4 in ascending order.\nAnswer: -9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, w: 5, y: 3, g: 2, b: 5}. What is prob of sequence wii?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/(-36) - (-9)\/702*-13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from qkwrswwakkwwk?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5061)\/(-9640) + 3\/(-8)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -687596*p + 1195944 wrt p.\nAnswer: -687596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13882, -27774, -41666?\n\"Answer: -13892*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3246 = -3*k, 4*k - 4328 = -4*o + 14*o. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.0296 (c) -163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.111053 - 0.111. What is q rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 2\/3*w**3 - 92 - 93\/4*w**4 - 11*w**2 + 0*w. Find the third derivative of p(j) wrt j.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1276 = 4*x, 0*c + x - 638 = -c. Suppose -5*f + 15 = -10. Suppose v - 2*v = -w - 124, w = -f*v + c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -8. Let s(k) = -m - 3*k - 24*k + 26*k. Give s(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -765 + 767. Differentiate 0*n**a + 11*n + 261 + 9*n + 9*n - 2*n - n**2 with respect to n.\nAnswer: -2*n + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*(-18)\/(-15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -14. Suppose -5*v + 38 = -3*o, 3*o = -v - o + 26. What is the remainder when 774\/p + v\/(-55) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drr when three letters picked without replacement from {r: 7, o: 5, d: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, z: 2}. Give prob of sequence ggz.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 less than 36508099183.7?\nAnswer: 36508099184.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376926?\nAnswer: 2, 3, 11, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116480 divided by -896.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7263, -14534, -21791, -29028, -36239?\nAnswer: -43418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/885 at least as big as 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 402.9003mm?\nAnswer: 0.4029003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -266256, -266251, -266246, -266241, -266236?\n\"Answer: 5*t - 266261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 23 - s**3 + 3*s + 11*s**2 - 10 - 3. Let l be h(10). Suppose 5*j + 0*j = l. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221798063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637015?\nAnswer: 5, 127403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6 - 9 + 18 + 55*f.\nAnswer: 55*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -ca01 (base 15) to base 4\nAnswer: -22123333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5))**48*(((l**(-1\/6)\/l)\/l*l)\/l)\/(l\/(l*l**1)) assuming l is positive.\nAnswer: l**(253\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 37 = -62*h + 58*h, 6*b + 3 = -3*h. Solve 0*n - 12\/5*n**b - 4\/5*n**4 + 0 - 8\/5*n**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4372*z**2 - 3*z + 25. Let f be l(8). Suppose -175691 - f = 5*c. What is c rounded to the nearest 1000?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2 + 3\/(-2). Let h be 9\/27 - (-2)\/(-6). Suppose 0 = -3*r - 3*q + 6, 0 = -2*r - h*r - q + 4. What is the second biggest value in -3\/8, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**3 + 21*z**2 - 49*z + 22. Let s(k) = -3*k**3 - 7*k**2 + 14*k - 7. Let u(x) = -2*o(x) - 7*s(x). What is u(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4 (c) -1 (d) -0.4 (e) 322\/39 (f) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l + 360. Let y = 3396 + -40711\/12. Calculate the common denominator of y and ((-238)\/l)\/(7\/21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**3 + 5*i**2 - 3*i**2 - 5*i**3. Suppose -2*g = 2, 2*m + g = -g + 8. Let t(y) = -7*y**3 - 5*y**2 + y - 1. Determine m*x(v) + 2*t(v).\nAnswer: v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958 + 26*q - 958.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*v + 650*v - 4665 = 0. Let z(b) be the first derivative of -v*b - 24 - 33\/2*b**2. Find the first derivative of z(d) wrt d.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-4)\/(-1)*(-18)\/(-8). Sort n, 2, -3, -1 in ascending order.\nAnswer: -3, -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 22. What is the second biggest value in o, -2, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146\/65 + 12\/5. Let d = 272023.1 - 272023. What is the nearest to d in -0.1, 0.13, y?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -159\/2. Let s be 2636\/(-6) + (16\/4)\/12. Let l = 4019\/9 + s. What is the common denominator of u and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2195, -2178, -2161, -2144?\n\"Answer: 17*z - 2212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -95. Suppose -2*a - 11 = -l. Solve 4*s + s = -a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 6. Let p be y(-6). Let r = -30 - -29. Let m be r - (-7 + (-12)\/(-3)). Solve -3*u - m*v + 6 = p, 2 + 3 = 5*u + 5*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -646, -1954, -4126, -7162, -11062, -15826, -21454?\nAnswer: -27946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:14 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Suppose -2*y = -0*y - 5*c + 7, -t = y - 5*c. Let v be ((-10)\/y)\/((-5)\/(-15)). Solve -q + 10 = -5*j, v*j - 3*q + 10 = -q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 4. Let g be z(-4). Let f = 0 + -4. What is the second smallest value in -3, g, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337 + -336.2. Let v(y) = -y**2 + 8*y + 8. Let r be v(9). Let t be 2\/r - (3 - 1). Sort t, 0.2, o.\nAnswer: t, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65789195 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-136)\/(-2856))\/(((-4)\/6)\/2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 52*x - 104 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3*k = -11, 71*f + 30 = 66*f + 5*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 55065?\nAnswer: -55102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*x + 12 = -5*s + 272*x, 0 = 3*s + 7*x - 42 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - 1885?\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -86360 divided by 5\nAnswer: -17272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429024?\nAnswer: 2, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5824425 less than or equal to -5824424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c8621 (base 13) in base 12?\nAnswer: 155145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/(-240))\/((-6)\/5). Which is smaller: -0.02 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/77 - ((-2970)\/189 + 17).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616*f = -635*f + 13129. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -54. Calculate the remainder when 1*(114 - (-3)\/1) is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 - k - 1. Let u(j) = -2*j**3 + 3*j**2 + 2*j + 4. Let l(v) = -4*r(v) - u(v). Let q(a) = 2*a**3 - a. Calculate 2*l(o) + 3*q(o).\nAnswer: 2*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 245246 - 34?\nAnswer: 245212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 215838736*k**2. Let b(z) = -7*z**2. Determine b(w(s)).\nAnswer: -326104519706543872*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 15.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 + -1910. Let d = -137 - t. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -485258 + -2\nAnswer: -485260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/7 + 552*p**4\/7 - 24834*p**3\/7 - 51336*p**2\/7 - 25947*p\/7 = 0. What is p?\nAnswer: -1, 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*g + 1153 + 1787 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c - 2*j + 54, 200*j - 24 = 3*c + 196*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 plus 1?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let t be ((-36)\/(-8))\/9*(-4)\/(-10). What is the closest to 1 in -2, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 3*x + 30, 5224*x - 5227*x = 2*k - 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(7\/2*-1). Let v = -4\/7 - -1\/7. What is the closest to 1 in -2, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:24 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -415 + 416. Let g be -4 + o*(-30)\/25*-5. Solve 0 = -5*q - g + 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 23*x**4\/4 + x**2\/2 + 11. What is the second derivative of u(z) wrt z?\nAnswer: 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*t = -l + 5, 4*t + 2 = -2*l. Let a be 0*-1*(l - -4). Suppose a*r + r - 12 = 0. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 36 = -10*s. Suppose -5138 = -s*n + 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:47 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-274)\/4795)\/(20\/(-500)*10)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-1 - sqrt(975)\/sqrt(3) - 3*(sqrt(130) - sqrt(130)*-2*-5)\/sqrt(10))*-2 + 5)**2.\nAnswer: -320*sqrt(13) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 8*i**2 + 3*i - 19. Let h(u) = u**2 + 23*u - 10. Let s be h(-23). Is m(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/10270 and 109\/3160.\nAnswer: 41080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 38 = -4*m, -4*d + 106 = -3*m + 5*m. Solve c - d = -5*t + 5*c, -3*t = 3*c + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 6*o + 7. Let v(z) be the second derivative of z**4\/12 - 5*z**3\/6 + 7*z**2\/2 + 30*z. Let m(h) = 6*c(h) - 5*v(h). Calculate m(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 16) to base 7\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8595 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826*-5.\nAnswer: 4130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200210 - 2210012210?\nAnswer: -2210220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 974920 divided by -243730?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**3 - 9*p**2 - 8*p - 23. What is t(-4)?\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - 144. Let d = 174 + -4. Suppose 2*a - 12*a = -d. What is the remainder when f is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + cb79?\nAnswer: cb76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218160258*a**3 - 25693092*a**2 + 3.\nAnswer: -1308961548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/78402 and -91\/4129172.\nAnswer: 12387516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -136, 6, -5, -561.\nAnswer: -561, -136, -5, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(684) + sqrt(684) + -1))**2 - (sqrt(684) + (sqrt(684) + 1)*-1 + sqrt(684)) - (sqrt(684) + -1)**2*-4*2)*3.\nAnswer: -1458*sqrt(19) + 147819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/2)\/(1\/32). Suppose -8*t + 44 + 4 = 0. Let l = f - t. Calculate the highest common divisor of 38 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(66)\/sqrt(24) - (sqrt(44) + -5)) - (sqrt(539)*2 + (sqrt(88) - -2*sqrt(88) - sqrt(88))\/sqrt(8))) + -2)**2*6.\nAnswer: -420*sqrt(11) + 40473\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.1*148713.\nAnswer: 5814678.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1618952 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5126929, 5126934, 5126939, 5126944?\n\"Answer: 5*c + 5126924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Let s(h) = 0*h - h**2 + i*h + 4*h**2. Let n(m) = -2*m. Calculate s(n(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/152 + 11\/76. Sort -2.1, -0.09, u in ascending order.\nAnswer: -2.1, -0.09, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 f, and 1 y when four letters picked without replacement from {y: 1, x: 4, f: 5, m: 1, v: 3, n: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -769333 times 29\nAnswer: -22310657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 7 - 7)*(-5*z + 0*z + 3*z)*(-97 - 936 - 3080)*(-1 + 1 + 1).\nAnswer: 32904*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(176))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 - -67. Let p = y - -113. What is the lowest common multiple of (-12*(-6)\/42)\/(4\/p) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 9*a + 2*a - 3. Is g(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329586.\nAnswer: 2, 664793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**6)**(2\/35)*(o**7)**(-9) assuming o is positive.\nAnswer: o**(-2213\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 32\/3*r**2 - 8\/3*r**4 - 4\/3*r**5 + 16\/3*r**3 + 0.\nAnswer: -4*r**2*(r - 2)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 8. Let y be f(10). Suppose 0 = y*n - 6*n - 8. Let c = n + 18. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*n - 28, 4*s = -5*n + 13 + 13. Let z be (-9)\/n*2*-1. Suppose -2*f - 13 = -z*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/440)\/(3\/(-37 - -1))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1604 - -3)\/(-2 - -1).\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/32 - (-10)\/8. Solve i = 5*s - 11 - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-3) - 8\/6. Let n = a - 8. Let k = -8\/13 + 53\/65. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*5\/10*1. Let a = -21 - -23. Suppose -a*w = 4*i - 20, 3*w - 7*w = -2*i. Solve g = 5*d - 5*f + 15, i*f - 6 = 5*d + 2*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1739.8445797 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289588 by -9.\nAnswer: -289588\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 21. Let f(u) = 3*u**2 - 6*u + 7. Let g(s) = -9*s**2 + 17*s - 20. Calculate q*f(c) - 6*g(c).\nAnswer: 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0\/(-3 - -6) - -13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*x + 202*x = -20. Let n = 577 + -577. Sort x, n, -4, -13 in decreasing order.\nAnswer: n, -4, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.99999952. Round f to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*k**3 + 6 + 12*k**3 - 126*k**3 - 3 + 3 + 24*k**3.\nAnswer: -421*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2851.848 nanograms?\nAnswer: 0.000000002851848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5911*t**2 - 22*t + 17873. Let y(n) = 1477*n**2 - 6*n + 4468. Let f(l) = -3*c(l) + 11*y(l). What is the derivative of f(u) wrt u?\nAnswer: -2972*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -7.3, 1183?\nAnswer: 1183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5533336727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 91*p**2. Let x(z) = -12*z - 2. Let s(v) = -32*v - 5. Let i(f) = -2*s(f) + 5*x(f). Calculate i(m(g)).\nAnswer: 364*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1.6, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 + (-17 - 132 - -139 - (1 - -12))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8 = o, -o + 5 = b + 3*o. Solve 0*m**2 - m**2 + b + 6*m - 2*m**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 102*w + 765. Let s be y(-109). Suppose q = -d - 2 + 3, 3*d - 4 = -2*q. Suppose 3*v = v + 2. Put 3, q, v, s in descending order.\nAnswer: 3, s, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pccpcc. What is prob of picking 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395 and 7970.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o**(-2\/13)*o))\/o*o)\/o))**47\/(o**(2\/13)\/((o*o*o\/(o*o**(-12))*o*o)\/o)))**(2\/91) assuming o is positive.\nAnswer: o**(2642\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.081, 85, 45?\nAnswer: 1.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)\/p*p\/(p**19*p)*(p\/(p\/p**8)*p)\/(p*p*p*p*(p\/(p*p\/p**(2\/7))*p)\/p) assuming p is positive.\nAnswer: p**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12554776 is divided by 836984?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1182 (base 15) to base 3.\nAnswer: 12002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 23 = -2*t + 7, -24 = -2*t - 4*q. Solve 2*d + 3*m = -15, -d = -3*d + t*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 8. Suppose -2*l = y - 36, y - 3*y = -f*l - 54. Let d = y - 3. What is the greatest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -26*m - 39. Let h be g(-17). Let y be h\/39 - 1*(-6)\/9. Solve y*t - 12 = 8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 901, 3271, 7217, 12739?\n\"Answer: 788*h**2 + 6*h + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/21 and 37\/186?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -24*k + 313. Give z(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 3 - 228*h**3 + 4*h**2 + 0 + 226*h**3 in the form g*h + j + q*h**3 + a*h**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-10)\/3*4\/8. Let n be p + ((-459)\/9)\/(-3). Solve n*z = 5*z + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 3. Let t be d(-12). Let v = t + 81. Calculate the lowest common multiple of v and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.73, -0.3, -3, 12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 24 + 4 = 0. Suppose -16*d = -13*d + 12. Let l be 29\/d - 7\/(-28). Sort l, 3, b in descending order.\nAnswer: 3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 4. Let v be f(5). Suppose -3*g = 3*s - 4*g - 14, 0 = 4*s - g - 17. Let o be 2\/s + 4\/(-3). Do o and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62+7065398\nAnswer: 7065460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 312*g - 743*g + 884*g + g**2.\nAnswer: g**2 + 453*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 3*k**2 + 3*k + 3. Calculate l(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-1012)\/(-18)) + 0. Let c = -57 - w. Let l = 500 + -499. Which is bigger: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-4))\/((32\/(-6))\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j + 3*j)*(-18*j**2 - 2*j**2 + 0*j**2 + (-2*j**2 - j**2 + 4*j**2)*(-70 - 8 - 12)).\nAnswer: -330*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7323, -15438, -23551, -31662, -39771?\n\"Answer: b**2 - 8118*b + 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1457 - -0.0457. What is the biggest value in -4, y, -0.08, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4 - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaajajj. What is prob of sequence ja?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(12)*-1 - -3*(sqrt(12) - sqrt(108)))\/((1*sqrt(48)*-6)\/((sqrt(12) + -2*sqrt(12) - sqrt(12))*3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558, -1199, -1906, -2673, -3494, -4363, -5274, -6221?\nAnswer: -7198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/7 + 190261*f**4\/7 - 380529*f**3\/7 - 570785*f**2\/7 + 761056*f\/7 + 761052\/7 = 0. Calculate f.\nAnswer: -190263, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Solve k*n = -3*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1246 + -36?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848702708.\nAnswer: 2, 7, 173, 241, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:52 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**4 + 26*z**3\/7 + 52*z**2\/7 - 16*z\/7 = 0.\nAnswer: -1, 0, 2\/7, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6774 - 0.4226. Sort 0.3, -0.5, 1.1, b in increasing order.\nAnswer: b, -0.5, 0.3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*i - 75. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682093 is divided by 752?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1769411 micrograms to grams.\nAnswer: 0.0000001769411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301723025?\nAnswer: 5, 12068921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*h + 3*h = 12, -2*v - 2*h = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -42, -65, -108, -177, -278, -417?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 50*i**2 - 7*i + 7. What is the remainder when 355 is divided by s(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -2 + sqrt(1872) + -4) + -2 + 5.\nAnswer: -17 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 20*k - 19*k = -163746. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 0.13?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26*p - 2. Let m(o) = 25*o**2 + 27*o - 2. Calculate m(z(g)).\nAnswer: 16900*g**2 - 1898*g + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 914*y + 9840 + 18494 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*l**4 - 1675*l**3 - 3890*l**2 + 1675*l + 3870 = 0. What is l?\nAnswer: -9\/4, -1, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -24 + o**2 + 29 + 3*o - 16*o. Let v be j(14). Suppose n + 6 = v. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*s + 7 = 1, -5*s = 2*d - 21. Suppose -5*h = -y - 26, -6*y + 17 = -d*y + 4*h. Which is smaller: -0.69 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpamaw. What is prob of picking 1 w, 2 p, and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2. Suppose -2*r + f = 2, -3*f + 1 - 15 = 4*r. Let v(q) = 7*q**2 - 2*q. Let p(b) = -b**2 + b. Let x(d) = r*p(d) - v(d). Determine i(x(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-10) - (3 + (-24)\/20). Let u be (-18)\/(1\/(-10) + o\/5). Find the common denominator of (-50)\/u - (-3)\/(-1) and 133\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*s = 6*s + 1, 4*s - 1 = 5*a. Let j = -1 - a. Factor 1\/2*u**2 + j + 1\/2*u.\nAnswer: u*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 - 359. Let h = g + 515. Calculate the highest common factor of 46 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*u + 136*u**2 + 208*u - 415*u as z*u + i + b*u**2 and give b.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88\/19 or 3?\nAnswer: -88\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 6*u - 41. Let x be (-18)\/(-144) - (-191)\/8. Let s be u\/12 - 18\/x. Solve 0 = 2*w - s*b + b - 9, 5*b + 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 9 + 5. Let c be h + (-2 - -4)*-26. Let o = c - -50. Solve o = -3*k - 4*x - 2, -18 = -5*k + 4*x - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 58*i + 543. Give f(9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47387449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 7*a. Let j be i(-9). Suppose 5*x = -3*u + 16, u + 5*x - j = -6. Solve -3*m + 4*f = -4*m - 12, m + u*f = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*j - 459 = y, -2*y - j - 301 = 0. Let x be y\/(-2) - (-3 + 3). Let a = -47 + x. Solve 5*i + 4*v = -a, -4*i + 3*v + 2*v = -3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.016, 0.3, -0.2, -0.4, 570?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 0*u**3 - 2*u**3)*(-32 + 33 + 43)*(1 + 0 + 3).\nAnswer: -704*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11973943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 0.2. Let w = -20 + 21.2. Let b = -1.7 + w. What is the nearest to 2 in l, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6680 and 127087?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262711399?\nAnswer: 173, 1518563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -7 + 17 + -12 + 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 11570620?\nAnswer: -11570613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1173*i + 336*i - 2572*i**2 - 2488*i wrt i.\nAnswer: -5144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -8. What is the remainder when 105\/(-10)*l*2 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by 56?\nAnswer: 81\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.81*0.11.\nAnswer: -0.1991","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Expand 2*x**2 + 3 - 3 + (-2 - 2*x + 2)*(2*x + 0*x - 4*x) - 24*x**2 + 4*x**2 - 9*x**2 + (-x + 3 - 3)*(-2*x + 2*x + 2*x) - 2*x**2 - x**2 + x**2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65650574*z - 9265118 wrt z?\nAnswer: -65650574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 2*o**2 + 3*o + 41 + 29*o**3 - 76*o**3 - 35*o**3 to u*o**3 + l*o + f + s*o**2 and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/24730 and -107\/14?\nAnswer: 173110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-70)\/(-15). Let d be (h\/(-2))\/(9\/(-54)). Let m be 0\/(-3)*2\/4. Solve -3*w - s = s + d, m = w - 4*s + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/7, 1441, 0.2, 382?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 14, -3, -1.\nAnswer: -12, -4, -3, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452013 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 5340*s + 53298. Give y(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -284.2000004746 + 284.2. What is w rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hawf when four letters picked without replacement from ahwafawfffffhwhhhfh.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 1743750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 30169146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**7\/21 - u**3\/3 - 3*u - 2. Let n(d) be the first derivative of r(d). Find the second derivative of n(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 159*p**2 - 483*p + 174. What is the thousands digit of a(-77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61908456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.638 - 12.995. Round q to one dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + (-518)\/(-3))\/(1\/12*4) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*f - 11*f. Let u be f\/((-9)\/190) + 2\/(-2). Suppose 69 + u = 6*r. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**4 + 7*y**3 + 3*y**2 + 3*y + 3. Let c(q) = 36*q**4 + 64*q**3 + 28*q**2 + 28*q + 28. Let k(z) = 3*c(z) - 28*g(z). Solve k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 + 0 = -5*f, -4*m = 3*f - 3. Find the third derivative of 2*j**4 + 3*j**6 - 2*j**4 + m*j**4 + 2*j**2 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485 - 280444538.\nAnswer: -280444053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*a + 34*a = -34*a + 204. What is the third smallest value in a, 0.2, -6, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -10, -23, -42, -67?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 8:22 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 8 = -4*v, -v = -3*r - 6*v + 10. Suppose r = 14*m - 23*m + 54. Solve 2*i - 5*n = -m, -7 = -2*i - n - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 0.2, 3, -1\/3, 4, 0.13, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1830.846 meters to kilometers.\nAnswer: 1.830846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-10))\/((-8)\/(-32)). Let w be 1\/((-14)\/(-4) - 3). Suppose u + j = 4, w*u + 0*j - y*j = 8. Solve u*d - 21 = -5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -964 - -973. Put -20, -3, l in increasing order.\nAnswer: -20, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**4 + z**2 - z. Let y = 14 - 13. Let i(w) = -3*w**4 - 10*w**2 + 5*w. Let v(m) = y*i(m) + 5*t(m). What is the third derivative of v(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 232*c + 49. What is j(-78)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531898933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15031 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25189 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -213. Suppose 16*n - 1892 = q*n. Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85985.\nAnswer: 5, 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 162883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.733 + -5.74136. Round j to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -773.127 - -774. Let o = v - 0.512. Let z = -0.039 - o. What is the third biggest value in z, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403294600 divided by -100823650\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**3\/6 - 7*b**2 - 3*b. Let d be m(10). Sort 5, d, -3 in descending order.\nAnswer: 5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(5\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 5*x**8\/84 - 127*x**7\/42 - 11*x**6\/6 + 389*x**5\/12 - 395*x**4\/12 - 160*x**3\/3 - x**2 - 8772. Let i(d) = 0. What is d?\nAnswer: -2, -1\/4, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 117, 175, 233, 291?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = v - 7, 0 = 3*b + 259*v - 264*v - 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21677 = 18*i - 319019. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 2*j + 10, 2*j + 5 + 5 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 104 = 3*h. What is the units digit of 3\/(-6) - h\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + (6 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 1. Let z be r(1). Solve -2*q - 2*w + 8 = 4, -3*q = -z*w + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(8\/(-24)). Let v(p) = -2*p - 6. Let r be v(-6). Solve -r + w = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 99997*d - 2. Let h be z(2). Let b = 8 - 5. Suppose -x + 3*a + h = a, b*x + 5*a - 600020 = 0. What is x rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 15*a**4\/2 - 295851*a**3\/2 + 1456041483*a**2\/2 + 27187073427*a\/2 - 5553888537 = 0.\nAnswer: -19, 2\/5, 9871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:39 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 = 0, 0*r = 2*r + a - 10. Find the third derivative of h**r - h**2 - h**3 - h**5 - 2*h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/9*81\/(-108).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 10*p**2 - 41*p + 13. What is d(14)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 3. Suppose -2*s = -v*s - 2*j + 29, 4*s - 38 = -3*j. Solve 4*y + 5*b = 2, 0*y - s = -3*y + b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*v**2 + 788*v**2 + v + v + 509*v**2.\nAnswer: 1922*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrxxryfrroxryx. Give prob of picking 1 f and 1 x.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*y = 1368, -2*y = -1 + 11. Let d = u - 437. Let p be (-32)\/(-6)*7*3. What is the highest common factor of d and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*h - 5*h + 10, 5*k - h + 21 = 0. Does 16 divide 3\/(-8) + k + (-5586)\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 12. Calculate v(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 5 (c) 6480972\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 58039 and 58039 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7608*i - 1 - 22858*i + 7632*i + 7605*i.\nAnswer: -13*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/3))**(-16))**49 assuming g is positive.\nAnswer: g**(-3920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 741573\/55 + -148308\/11. Solve 36\/5*k - 3\/5*k**5 + 12\/5 + x*k**3 + 33\/5*k**2 - 9\/5*k**4 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*g = -4*v - 213*g + 4928, 0 = -5*v - 5*g + 6090. Let j = 53 - 28. Calculate the greatest common factor of j and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 346 = -466. What is the least common multiple of 66 and j?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 25 - 24 = -i, -3*t - 2*i - 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106813511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g**4 - 9394*g**3\/3 - 72854*g**2\/3 - 64078*g\/3 - 260 = 0. Calculate g.\nAnswer: -6, -1, -1\/81, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18831247 is divided by 1084?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.73 - 23.8. Put -4, n, 0.5 in decreasing order.\nAnswer: 0.5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 10, f: 2}. What is prob of picking 2 e?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -753, -4124, -12737, -29214, -56177?\nAnswer: -96248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413664 (base 8) to base 16.\nAnswer: -217b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 27*a**2 + 6*a. Let z(s) = -5*s**2 - s. Let l(j) = -m(j) - 6*z(j). Let y(h) be the first derivative of 29*h**2\/2 - 18. Give l(y(f)).\nAnswer: 2523*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -112*q**2 + 1. Let m be j(-2). Let w(l) = 72*l + 62. Let z be w(-3). Let b = z - m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315)\/18*(4\/(-12))\/(20\/(-12))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-14)*((s*(s\/(s\/(s**(-1)*s)))\/s)\/s)**(-5\/11) assuming s is positive.\nAnswer: s**(82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3*sqrt(50))*-1 + 0 + (sqrt(98) + -1)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Let b(n) = -n**3 + 6*n**2 - 5*n - 1. Let t be b(c). What are the prime factors of 19 + 1 + t + -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9403 - 6225. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 2 - 18*m + 7*m + 8*m**2 + 1 - m**3. Let h be f(6). Let x be (-7 + 5)*65\/10. Put x, h, -0.2 in decreasing order.\nAnswer: -0.2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 107 - 609*s**2 - 54 - 53 - 1657*s**2.\nAnswer: -2*s**3 - 2266*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -1\/247 in ascending order.\nAnswer: -0.2, -1\/247, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2114, -8528, -19246, -34292, -53690, -77464, -105638, -138236?\n\"Answer: -4*d**3 - 2128*d**2 - 2*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 893*d + 5343. Give o(-8).\nAnswer: -1801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130\/(-20)*(0 - -2). Let m = -2 + f. Is 3\/(18\/m)*-4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -202*k**4 + 240*k**2 + 3. Let f(y) = 203*y**4 - 239*y**2 - 4. Let w(c) = 3*f(c) + 4*q(c). Find the third derivative of w(t) wrt t.\nAnswer: -4776*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 267*c - 15246. Determine x(49).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 923740374 to the nearest integer?\nAnswer: 30393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/3939 + 7003\/1313. Solve 16\/3 + 4\/3*l**2 - s*l = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 587356\/66*(1944\/42)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57887522?\nAnswer: 2, 7, 11, 53699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21313106 or -21313114?\nAnswer: -21313106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-306)*(-28)\/8*1\/(-7)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**3 + y. Let f be t(-1). Let c = 154 + -91. What is the greatest common divisor of c and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:54 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.4 + -34.39. Let p = -0.01 + g. Let z = -1 + 1.2. Which is the third smallest value? (a) p (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -16\/363, -0.9, 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16121*f - 80596. What is t(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000499737075 to seven dps.\nAnswer: -0.0004997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-245))\/((-2)\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a - 144 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i)**(-15\/8)\/(i*i**(-7)*i*i**10) assuming i is positive.\nAnswer: i**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.43. Put 5, 3, d, 2\/9 in descending order.\nAnswer: 5, 3, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 129 = -42. Solve -2*l - 2*v - 8 = 2*v, j*l - 4*v - 8 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.5.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 2763182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - l + 28\/3.\nAnswer: -(l - 4)*(l + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10460 + -10457. Let j(v) be the second derivative of 0 - 7\/48*v**w + 1\/96*v**4 + 5\/8*v**2 + 12*v. Solve j(q) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)*1)\/sqrt(2)*-2 - ((sqrt(567) - sqrt(567)*2 - sqrt(7)) + (sqrt(7) - ((1 + sqrt(7))*-5 - sqrt(7)))))*-3)**2.\nAnswer: -90*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 887*t - 95053. Let h(c) = 2*c**2 - 890*c + 95054. Let b(f) = -6*d(f) - 5*h(f). Factor b(q).\nAnswer: 2*(q - 218)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 3*r**2 + r + 1. Let s be q(-2). Suppose s*p - 3*z = z + 4781, -3*z + 1585 = p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40644 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*k**3 + 139*b**3*s**3 + b**2*k**3*s**3 + 2*b**2*k**3*s + 7*b*k**3*s**3 + b*k*s wrt b?\nAnswer: -6*k**3 + 834*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/(-15))\/(2\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-3)**2 - (-1 + sqrt(704))**2)*-2.\nAnswer: -372 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 - 2 - 10 + 34*n. Let m be w(5). Suppose -6*q + m = -2*q. Is q a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6265 + -6249. Let w(c) = c**2 - 18*c + 37. Calculate w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 3*b - 9 + 11 + 4 + 13.\nAnswer: 3*b + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.1 (c) 5 (d) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -696 - -1030. Suppose -2*r + r - 3*p + 74 = 0, 3*p = 5*r - d. Calculate the lowest common multiple of r and 11.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 - 5275*m**4 + 761640*m**3 - 25852860*m**2.\nAnswer: -5*m**2*(m - 66)**2*(m + 1187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:30 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 3:06 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1812485 and -0.0143.\nAnswer: -25918.5355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/70 + 57\/133\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425321 is divided by 321?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from ggon.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*z - 3*z + 23 = 0, 2*f - 8 = -4*z. Which is bigger: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/60 - k**3\/10 - k**2\/5 + 29*k. Factor d(t).\nAnswer: -(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64209, -64212, -64215?\n\"Answer: -3*b - 64206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n + 3*n - 7*n - 2*n to i + t*n and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*h = 10, 3*a - 4*h - 30 = h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, c: 1, r: 4}. What is prob of picking 2 f, 1 c, and 1 r?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085 is divided by 1726?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/7 - 4*r**4\/7 + 8*r**3\/7 + 4*r**2\/7 - 6*r\/7 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from fuifffduufu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*s + 4480, 2*s - s - 5*t = 904. What is the remainder when s is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 38 + o**3 - 24.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 149164858\nAnswer: 149164857.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (0 - 8) - (-1 + -68 + (-4 - -1)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -n, 0 = 69*h - 66*h + 3*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-24)\/10 - 2324\/1785. Let m = -4\/17 - u. Which is the closest to 2\/3? (a) -0.3 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 2*t + 2. Let x(h) = 3*h**2 + 3*h + 2. What is 3*u(j) - 2*x(j)?\nAnswer: 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**2\/2 + 70. Let z(x) = -4*x**2 + 4*x + 4. Let c(b) = -b - 1. Let s(o) = -20*c(o) - 5*z(o). Give s(f(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4.21892*0.3\nAnswer: -1.265676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2 + 4*m - 1)*(0 + 1 + 3)*(-4*m + 5*m + 0*m).\nAnswer: 8*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 times 106564\nAnswer: -6820.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -710, -1418, -2126, -2834, -3542?\n\"Answer: -708*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/4)*i\/((i\/(i**1*i))\/i))\/((i**(-3)\/i)\/i**3) assuming i is positive.\nAnswer: i**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 594*w - 27082. Determine q(-50).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l - 16*l - 9*l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*r - 25, 2*r + r = 5*d - 125. Let a = 6269.3 + -6269. What is the nearest to -1\/4 in d, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40731, 40699, 40669, 40641, 40615, 40591?\n\"Answer: r**2 - 35*r + 40765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*k**4 - 97*k**4 + 48*k**4 + k**2 + 4*k**3 + 3*k - 1 to the form m*k + s*k**3 + p*k**2 + b*k**4 + g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 45?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -4.4. Let m = -2633\/158 + -1\/474. Let j = m + 16. Which is the nearest to -1\/3? (a) o (b) 4\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.122 (b) -0.2683 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehsemrm. Give prob of picking 1 s and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x = p - 3, 4*x - 6 = -2*p. Factor -8*f**2 + x*f**2 + 36*f**3 - 40*f**3.\nAnswer: -4*f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 3132, 32, 14, 2 in decreasing order.\nAnswer: 3132, 32, 14, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 17737012\nAnswer: -5321103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 309467.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 4. Let n = h + -2.70000568. What is n rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -24642*p + 6. Let t be j(-1). Suppose 26*o - 25558 = t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.1 + 18.999. Let l = k + -0.899. Which is the nearest to 1? (a) l (b) 0 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 - 11\/((-352)\/(-72)). Let i(c) = -1. Let z(m) = m + 5. Determine v*z(y) - 11*i(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/9 - 38*b\/9 + 56\/3 = 0. What is b?\nAnswer: 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2449 - -2529. Calculate the remainder when m is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/5 + 2)*-10. Suppose -g*v = -2*i - 14, v + 4*i - 24 = -4*v. Suppose 10 = v*q - 2*b, 4*q = 2*q - 4*b + 20. Solve 0 = -m + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 1\/8, -28, -51.1, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381.223 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 44*n + 13. Let m be (30\/(4 + 1))\/2. Let s be r(m). Suppose 5*h - 3*l - l = s, 0 = 4*h - 3*l - 117. Solve 5*i - 8 + h = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5059 and 12172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 + -6 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(6\/(-440)). What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c + 126. Let i be k(14). Suppose -3*u - 5*j + 103 = -i*u, -4*u - 2*j = -114. What is the remainder when 51 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 17. Let g(x) be the first derivative of x + 2*x - x**2 + 3*x + 2 - 4. Give 11*g(h) - 4*l(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 6*p - 6. Let g be u(4). Factor -a + 2*a**2 - a**g - 2*a**2.\nAnswer: -a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3488 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((16\/8)\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 368*m + 1870. Let h be k(5). Solve -5*l - 5*u = 5, 0*l - 3*u + 21 = -h*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44, -2, -1, -3 in ascending order.\nAnswer: -3, -2, -1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -1252, -1871, -2486, -3097, -3704, -4307?\nAnswer: -4906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:00 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.4 + 39. Let w = -2.5 + p. What is the third biggest value in w, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38665127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*p**2 - 23 + 16*p**2 + 13*p**2 - 3*p**3 + 23 to c + r*p + y*p**3 + m*p**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -456795\/52 - -8784. Find the common denominator of x and -61\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*594\/792?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 4 + 0*c**6 + 1\/3*c**4 + c**3 + 1\/21*c**7 - 2*c**2 - 2\/5*c**5 - 4*c. Let n(g) be the first derivative of o(g). Factor n(w).\nAnswer: 2*(w - 1)**3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 52.762. Let i = 0.062 + k. What is the closest to 0 in i, -1\/6, 1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6, 5*y + 72 = 2*j - 79. Suppose -j = -i + 5*b, i + 13*b = 16*b + 62. Sort i, 5, -4\/5 in decreasing order.\nAnswer: i, 5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 36 = 2*q, -y - 11 = -10 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-1)\/((-2)\/(-6)). Let u = -51\/20 - -379\/180. What is the biggest value in u, f, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - b - 20 - 24, 4*b = 5*o - 56. Let y be 14*(0 - (-20)\/o). Differentiate -21 - 9*g**3 + g**2 - g**2 + y wrt g.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/9 - 452*a**3\/9 - 1430*a**2\/3 + 238484*a\/9 + 242320\/9 = 0. Calculate a.\nAnswer: -26, -1, 20, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1801\nAnswer: 360.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14654620 and 0.1.\nAnswer: -1465462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 5 - -29) + 3. Is (l\/(-7))\/((-1)\/23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3 + 11 - 4 + 7*a**3 wrt a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 672971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + i + 10. Is d(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c\/(c**20\/c))*c**(-2\/23)*c assuming c is positive.\nAnswer: c**(435\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 2*u + 486. Let o = u + 641. What are the prime factors of o?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1185408*h**2 + 8*h**3 + 1185408*h**2.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1772 and 1984.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - r - 13, 5*q - 1476*r + 1480*r = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -245 + 239 + 28*v + 23*v in the form y + s*v and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6473004 (base 9) to base 11.\nAnswer: -1a62317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(50) + -1 + 0 - -6*6*(1 + sqrt(8))).\nAnswer: 150 + 385*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/27000183 and -16\/3857169?\nAnswer: 27000183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*t - 17*t = -414568. List the prime factors of t.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773490 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2221 - 13*s**2 + 2221.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 3:54 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q - 278*q**2 - 1422*q**2 - 5729*q**2 - 18*q.\nAnswer: -7429*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*g**3 - 231*g**2 - 892*g + 2 wrt g?\nAnswer: 120*g - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 11, d: 1}. Give prob of picking 1 d and 1 i.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + 6*1*sqrt(3) + sqrt(12)*4 - 2*-3*(sqrt(192)*-1 - sqrt(192))**2)*1.\nAnswer: 14*sqrt(3) + 4617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4 + 6. What is the third derivative of w**4 + 4*w**2 - 2*w**t + 3*w**4 wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -1.6 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 9. Let y(t) = -41836*t + 19 + 20918*t + 20919*t. What is 9*j(n) - 4*y(n)?\nAnswer: 5*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 10 = -6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, 18, 13 in decreasing order.\nAnswer: 18, 13, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-781)\/(-5680))\/(4\/(-9)*12\/(-40)) and 2\/2*(-198)\/(-32)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1470)*3)\/(sqrt(18)\/(sqrt(48) - sqrt(1728))).\nAnswer: 2520*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 7) to base 5.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17+-12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 1, 156\/5 in descending order.\nAnswer: 156\/5, 1, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/120 - a**5\/20 + a**4\/12 + 18*a**2. What is q(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -462 divided by -21\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:54 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 225 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -650 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 274 - 286 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -60712 in increasing order.\nAnswer: -60712, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2 + 2)*(-5*v + 10*v + 10*v) - 5*v + 3*v - v**3 + 3*v**3 + 0*v**3 - 14*v**3 - 4*v**3.\nAnswer: -46*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4963360 is divided by 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 20. Let s(f) = 1179*f - 4 - 5*f**2 - 2*f**2 - 2*f**3 + 3*f**3 - 1180*f. What is s(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141605 and 2540.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 - 21528955.\nAnswer: -21528791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281139136 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1028 and 117052706?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569, 1085, 1601, 2117, 2633?\nAnswer: 3149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8765825um in kilometers?\nAnswer: 0.0000000008765825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*y**4 + 28*y**2 - 519*y wrt y?\nAnswer: 240*y**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r + r + (-4 - 4 - 1)*(11*r + 3*r - 2*r))*(r**3 - r**3 - 2*r**3).\nAnswer: 212*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.573810647822 and 1.\nAnswer: 6.573810647822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*d + 11. Suppose -3 = 4*j - d*j. What is the remainder when 4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2, 111, -0.2, 0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*b**3 + 0 + 0*b + 0*b**2 - 4\/9*b**5 + 2\/3*b**4.\nAnswer: -2*b**3*(b - 2)*(2*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q + 5*r, -5*q + 10*q - 4*r + 63 = 0. Let n be (-9)\/6*19\/3. Is n < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8000770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14203?\nAnswer: 7, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 3*w**2 + w**2 + (2 + w**2 - 2)*(2 + 0 - 1) + (1 + w - 1)*(-9 + 3*w + 9).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.975678 milligrams to micrograms.\nAnswer: 8975.678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2*z**5\/35 - 2*z**4\/7 + 2*z**3\/21 + 4*z**2\/7 + 7. Factor t(u).\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.363 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*j**2 + 2*j**3 - j**3 + 3*j + 2169*j**4 - 2170*j**4 - 7*j**3 wrt j?\nAnswer: -24*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -543 - -381. Is (2\/3)\/((-4)\/v) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.105 + 0.024. Let a = z + 37.271. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (0 - -3)\/(1\/(-1)). Let p(v) = 3*v - 10. Calculate p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587243804 to the power of 1\/2, to the nearest integer?\nAnswer: 24233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*-10 - 3. Let o be (h\/12)\/((-6)\/8). Solve -2*y + o*t - t + 9 = 0, y - 8 = -3*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16114 is divided by 16109.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(40)*-3)\/sqrt(8) - sqrt(55)\/(sqrt(11)*1)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/28 + 217\/62*(-15 + 16).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 3*d**3 + 4*d**2)*(5 - 2 - 4).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 27*u**3 + 4*u**2 + 1. Let w(c) = 27*c**3 + 5*c**2 + c + 1. Let d(k) = 3*t(k) - 2*w(k). What is the remainder when d(1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-76) - (-6 - (-465)\/95). Suppose 6*o + m = 7*o. Calculate the lowest common multiple of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 5*g + 5. Let b(x) = -x**2 - x - 1. Let v(t) = -5*b(t) - o(t). Let a(j) = 3563*j**2 + 2 - 1855*j**2 - 1754*j**2. Give a(v(y)).\nAnswer: -184*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3452, 3611, 3744, 3839, 3884, 3867?\n\"Answer: -2*i**3 - i**2 + 176*i + 3279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 138 = -15*u. Let c = -40 - u. Suppose -6 = -d - 5*o, o = d + 2*o - c. Solve 0 = -5*h - 31 + d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 22427?\nAnswer: -22443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from hghhgllhll.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {q: 5, j: 2, t: 3, s: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8598924ml to litres.\nAnswer: 0.0008598924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203 + -341\/2. What is the common denominator of k and -71\/62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320010 (base 5) to base 11\nAnswer: 7a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -20. Let j(x) = 3*x**2 - 8*x + 12. Let d be j(4). Let c = s + d. Solve -h + c*h = -20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 21. Let y(c) = -19*c**2 - c**3 - 13*c - 18*c - 16 + 11*c. Calculate the lowest common multiple of y(-18) and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207.08 + 207. Let k(j) = j**3 + 6*j**2 - 7*j - 5. Let y be k(-7). What is the third biggest value in y, h, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.155 - 6.875. Let f = x + 7.4. Let s be (-1)\/4 + 115\/300. What is the biggest value in -1, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193655563.9999939 + -193655516. Let b = -48 + a. Round b to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2670\/19 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 56*y**3\/3 - 19*y**2 - 65. Find the second derivative of a(i) wrt i.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen eighths of a week?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*w + 3*w - 488, -3*j - 396 = -4*w. Calculate the common denominator of 0 + -2*147\/w and 412\/18*3\/12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4768 by 2384.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) -1\/5 (d) -0.3 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 47111 from 0.\nAnswer: -47111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*h**2 + 207*h**2 - 1087*h**2 + 224*h**2 + 219*h**2 + 222*h**2.\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*c + 9*c - 117 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:47 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -2*x**7\/105 + x**3\/3 - x**2 + 1. Let q(u) be the second derivative of c(u). Differentiate q(a) wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 5) + -108 + 142 + (-7 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v - s = -12, v - 4*s = -8. Suppose 0 = 9*h - v*h. Solve -4*n - p = -h*p - 9, -2*n + 2*p + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-460)\/69 + 2\/(-6). Let v be 2\/((-24)\/m) + 105\/(-420). Factor -v - 4\/3*l + 1\/3*l**2 + 4\/3*l**3.\nAnswer: (l - 1)*(l + 1)*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*q - 18 = 70, -5*o - q = -80. Calculate the highest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*c - 2, -4*n - 9*c + 4*c - 26 = 0. Let z(g) = g**2 - 3. Give z(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -2*sqrt(153) + 2 + -2*sqrt(153) + 1)**2*-4 + -3.\nAnswer: -5547 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 + 8*r. Let v be g(5). Suppose 2*y = -2*y + v. Is y != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**5 + 7*k**5 - 8*k + 0*k wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3714 - 3695. Solve 2*c - 3*g + 10 + 3 = 0, 3*c = 4*g - j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 22 + 14)*(3*c**3 + 0*c + 0*c) - 1 + 1 + 4*c**3 + (-1 + 1 - 2*c)*(1 - 1 - c**2) + 3*c**3 - 5*c**3 + 4*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:58 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 32 = -4*a, -a - 6 = 3*z + 2. Let g(y) be the third derivative of 0*y**3 + 0*y**a + 0 - 1\/60*y**5 + 2*y**2 + 0*y. Solve g(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 878994?\nAnswer: 5\/878994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -407593074*a + 167084624.\nAnswer: -407593074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/1539*-9 + 58\/18. Let g(z) = 5*z - 2. Calculate g(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 15*f**2 + 2*f + 8 + 22.\nAnswer: 15*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 5, o: 12}. What is prob of picking 1 r and 2 m?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 3}. What is prob of sequence kk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-244)\/(-305) - (-33)\/15)*92\/6. Calculate the greatest common factor of 38134 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/3, 2\/7, -0.024 in ascending order.\nAnswer: -4, -0.024, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -52 (c) 6\/7 (d) 2 (e) -5 (f) 17\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 - 6*q - 6. Let t(f) = f**2 - f - 12. Let d be t(4). Suppose 0 = z - d*z + 7. Let h(n) = 6*n**2 - 7*n - 7. Calculate z*s(l) + 6*h(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14976548, 14976515, 14976480, 14976443, 14976404, 14976363?\nAnswer: 14976320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 3. Let a(y) = -9*y**2 + 7. Let d = -12 - -20. Let t = d - 22. Let z(u) = t*n(u) - 6*a(u). Let l(r) = 5*r. Give z(l(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 449. Let x(v) = 5*v + 458. Calculate 3*i(y) + 2*x(y).\nAnswer: -5*y - 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 6 + 18. Let k(p) = -2 - 5 + 6 + p + 3*p + 2*p**2. Let d(g) = -3*g**2 - 3*g + 1. Let x(y) = 3*d(y) + 4*k(y). Calculate x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*a = -3765*a - 73 + 73 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7463 - 7466. Sort b, -237, 4, 0 in ascending order.\nAnswer: -237, b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*n + 5*n + 24*n - 2*n**2)*(-2*n - n - 2*n) to y*n**3 + o*n + r + j*n**2 and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (3 - 9) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4392?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 136 = 1314. Suppose t = -340 + k. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 273, 399, 545, 717, 921, 1163, 1449?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76480462 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) -0.1 (c) 15 (d) -5 (e) 4\/7 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 106*g + 1078. Calculate b(-12).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let i = 151 - 152. Which is bigger: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 16) to base 4.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 1. Let z = 0.08 + -3.58. Let d = n - z. What is the second smallest value in -1\/6, d, -2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -38817497924.\nAnswer: -38817497922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*t**2 + 9*t**2 + t - 9*t**2 - 26*t**2 - 503 - 4*t with respect to t.\nAnswer: -32*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 76 = 484. Suppose 36 - z = -2*g. Factor 4\/3*o - o**g + 4\/3.\nAnswer: -(o - 2)*(3*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 6:11 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 62380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -195\/43 (b) -2 (c) -2\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - z = 40. Suppose 5*y = -2*t + 115, -y = 4*y + z*t - 100. Let q(i) = -y*i + i + 6*i. Let d(b) = -b**2. Determine d(q(w)).\nAnswer: -324*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 42226 = -360495. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 4 = 5*z, -2*z - 5 = 5*d + 70 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**5\/7 + 5*z**4\/7 - z**3\/7 - 5*z**2\/7 - 2*z\/7 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + 2.3. Let w(f) = -f**2 - 8*f + 3. Let g be w(-7). Let x = g - 11. What is the closest to -5\/3 in x, p, -3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10073 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 1663 - 376. Let v = -113 - t. What is the lowest common multiple of v and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*h**3 + 2731 - 3288*h**2 - h**4 + 5*h**4 + 122*h**3 - 52*h**3 + 14672*h - 14295 = 0. What is h?\nAnswer: -59, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/(-800)*10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7355445 or -7355442?\nAnswer: -7355445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/3)*(n\/(n\/(n**4\/n)))\/n*n**7*n*n*n\/(((n*n**5\/n)\/n)\/n))\/(n**(-13)*n**(2\/35))**(2\/7) assuming n is positive.\nAnswer: n**(10558\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**5 + 0*j**5 - 2*j**5 - j**2 + 2*j**5 + j**2 + (-2*j**3 - 2*j**3 - j**3)*(-4*j**2 - j**2 + 2*j**2) + 2 - j**5 - 2.\nAnswer: 18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Let x = -1 + j. Let p = -100 + 105. Solve x*q - z = -1, p*q - 3*z - 2 = -5*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.733787 + 0.096873. Let l = t + -0.83. Round l to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5062127 is divided by 723158.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 275232 a multiple of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3714 + 3718. Let x be (-38)\/(-88) + (-4)\/22. Which is the nearest to x? (a) 0 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157608 and 3474?\nAnswer: 30418344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 353.43 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11 + 3 - 1)*(-3 + 3 + c)*(1 + 0 + 1) - c - c + 4*c)*(-c**3 + 0*c**3 + 3*c**3).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -19*r**3 + 134*r**2 - 4*r + 6. Let h be y(7). Solve 5*w = 14*w - h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351*q - 674*q + 100 = 672*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405 a factor of 37777276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 94. Let q be o(-10). Let m = 155 + q. Sort 0, m, -3, -1.\nAnswer: -3, -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -109906165128.42?\nAnswer: 109906165128.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 12:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:15 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103079116?\nAnswer: 2, 7, 523, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 12*p = -l - 49, -4*p - 64 = 7*l. Let g(j) = -j**3 - 9*j**2 - j - 4. Give g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (-41 + 97 + 62)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - 2 - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-4)\/(-24)*-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5256198 and 27072?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -9 - (34 - (15 + 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-eight thirds of a decade?\nAnswer: 2320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 244780*x**2 - 3741276192*x - 108702967104.\nAnswer: -4*(x - 30612)**2*(x + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {b: 11, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3510 and 520?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.35 + 1.3499807. Round v to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-7.1\nAnswer: 14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:50 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/19)*h)\/h)**45 assuming h is positive.\nAnswer: h**(-90\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12746137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 30 - 62 - 7*b**3 + 13.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - -158017449627.\nAnswer: 158017449639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/(-40)*85\/(-2). Let d = 75 - w. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + z = 2*k + 5, 0 = 3*k - 4*z - 13. Suppose -5*s = -k*l + 1232, 0 = -3*l - 3*s + 1123 + 101. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18737 is divided by 8537.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -113\/2. Let w(o) = -2*o**2 - 25*o - 17. Let j be w(-12). Sort 0, t, j in descending order.\nAnswer: 0, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 361*f**3*p*y + 152*f**3 - 1194376*f**2*p*y + 2*f**2*p - 264*f*p - 2*f - 1230 with respect to y.\nAnswer: 361*f**3*p - 1194376*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/302967 and 125\/76734?\nAnswer: 17572086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by 11\nAnswer: 190\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 4*b**2 - 2*b**5 + (-1 - 4 + 6)*(4*b**5 - 3*b**5 + b**5) + 20*b**4 + 15*b**5 - 20*b**4 + 5*b**5 + b**5 - 8*b**5.\nAnswer: 13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23132 - 13424?\nAnswer: -42111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-30)\/(5 + -10). Suppose -2057 = -l*k + 2*g, 0 = 2*k - 3*k + 3*g + 688. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1110 - 1101 + 3*o - 16*o - o in the form m + d*o and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:37 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**44*p*p**(2\/3)\/p*(p*p**(-2\/45))\/p assuming p is positive.\nAnswer: p**(3988\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m + 5 = 0. Let f be (770 - 20)*(m + (-89594)\/6). What is f rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 1. Let o be t(1). Let g be -1 - (-7)\/21*3. What is the third smallest value in -1, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 3, f: 3, n: 5}. What is prob of sequence ff?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 311633183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 2*v - 3*v + 0*v + 4*v - 3*v + (-6 + 3 + 2)*(2*v + 3 - 3) - 4 - v + 4)*(-v - v + 3*v) to h + k*v**2 + o*v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15089, 30183, 45277?\n\"Answer: 15094*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k - 303*k + 50*k + 13*k + 51*k.\nAnswer: -138*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2400 and -71\/121680?\nAnswer: 1216800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 117*h + 2. Let o be -3 + 4\/6*6. List the prime factors of v(o).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 2*w + 50. Let a be f(8). Let x(b) = 0*b**2 - 6*b**a + b**2 + 9*b**2. Let y(j) be the second derivative of j**3\/6 + 3*j. Calculate x(y(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30161076 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/((-7 + (-33)\/(-6))\/(1\/2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*p**2*q**4 + 167*p**2*q**3 - 47*p**2*q**2 - 83*p**2 - 3*q**2 + 11*q wrt q?\nAnswer: 2928*p**2*q + 1002*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -11 + 135. Let m = -17 + b. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {b: 3, m: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13749 + -13744. Let m = 0 + 0.3. What is the closest to -3 in z, m, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*(1 - 1). Solve z = 2*t - 2*m + 6, 4*t - m + 8 = -4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:25 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2832)\/96 - -20 - (-5 - 0)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = i, 33*i - 37*i - 16 = -4*n. Which is the fourth smallest value? (a) -4 (b) n (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/5 + 7912404*g**2\/5 - 15824811*g\/5 + 7912406\/5 = 0.\nAnswer: -7912406, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -22. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + x = -8 - 3, 3*x = -5*y + 55. Suppose 3*k - y*k = -40. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 3 (b) -10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/36 - (-2)\/8. Suppose -n - 1 = -x + 2, 4*n + x = -12. Do n and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 4*l**2 - 2*l + 5. Suppose -4*c + 7 = -13. Let f be t(c). What are the prime factors of ((-12)\/(-30))\/((-1)\/f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5752.61 - -5725. Let o = 0.61 + k. Let l = o + 27.2. Which is the second biggest value? (a) -3\/2 (b) 0.5 (c) -2\/11 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4329528*d**2*j*q - 8*d**2*j + 383*d*q + 10*d + j - 202 wrt d.\nAnswer: 8659056*j*q - 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 57104 divided by 6\nAnswer: 28552\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*m - 721, -6*j + j = -5*m - 900. Let q = m + 183. Solve -4*v + 4*t + 20 = 0, 5*v - q*t - t - 19 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3147 divided by -6?\nAnswer: 1049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 332\/8*(1 + 3 + -6). Let n = 107 + a. Calculate the greatest common factor of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 - 39. Let v = 188 - g. Let h(o) = -13*o - 4. Let i(l) = -4*l - 1. Give v*h(b) + 7*i(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3796439800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p**2 + 147*p - 127. Determine u(7).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1093 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*y - 8*y + 24, 2 = 2*y - 3*g. Let m(p) be the first derivative of 4\/9*p**2 + 8\/27*p**3 + 2 + 1\/18*p**y + 0*p. Let m(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-7))\/((-2)\/14). Suppose -4*w + 3*w = 2*h - 36, -n*h + 3*w + 52 = 0. What is the units digit of (18\/(-4))\/((-15)\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 641134 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 - 24*w**2 - 288*w.\nAnswer: -w*(w + 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 77.47\nAnswer: -15.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 138 = 270 - 128. Solve d*g + 73 - 105 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by -3 + 3 + -3 - -32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 666.122ng?\nAnswer: 0.666122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 308 = -3*c, -c - 12 = 2*c. Suppose 36 = 5*h - z. Let q be 3750*h*56*1. What is q rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(363)*5 - sqrt(363))*1 + (sqrt(300) - (-1 + sqrt(300)) - sqrt(300))**2*6*6.\nAnswer: -676*sqrt(3) + 10833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 410841.6 millennia?\nAnswer: 4930099200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 405 and 2780.\nAnswer: 225180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 1\/16, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*f**3 + 69*f**3 + 41*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 8, 6, 2, -4, -12?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 12) to base 15\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 14 + (0 - 2) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 454, 442, 430, 418, 406?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53346576 and 5904.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z. Let a be t(-1). Suppose 0*g = g - a. Let s(r) = 9*r + 0 + 1 - g*r. Calculate s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.782027452.\nAnswer: -5.782027452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13032, -5, 2 in descending order.\nAnswer: 13032, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 - s + 4. Let q be t(4). Let f be ((-66)\/(-4))\/(6\/16). Suppose 0 = -q*i - 4*i + f. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8176849020\/26773 - -305414. Is c bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161*c + 71*c + 77*c + 2*c - 1 + 1 + (2*c - c - 3*c)*(-3 + 0 + 1) - 3*c + c + 4*c - c - 2*c + 0*c)*(-48 + 22 + 24 - c**2).\nAnswer: 8*c**3 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 0 = 4*n - 1, -l + 4*n = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*s - 17*s + 7*s + (s + 3*s - 2*s)*(-4 + 2 + 1) - 134*s - 196*s - 377*s - 31*s.\nAnswer: -762*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3\/3 - 5*d - 105908. Let c(l) = -l**2 - l + 1. Let j(o) = o**2 + 5*o + 3. Let f be j(-4). Calculate f*c(i) - m(i).\nAnswer: 2*i**2 + i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/30 - d**5\/60 + 2*d**2. What is the third derivative of h(f) wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 206, 203?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/(7*10\/(-70))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3975 and -282463290781?\nAnswer: 282463290780.6025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2 (c) 39 (d) -32 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12237*(12\/9 - (-8)\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -5\/2*k**4 + 68*k**2 + 0*k + 0 + 17\/70*k**7 + 0*k**6 + 0*k**5 + 0*k**3. Find the second derivative of f(j) wrt j.\nAnswer: 612*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l - l**3 + 11*l - 12*l - 36 - 6*l**2 - 4*l**2. Let j be v(-12). Which is smaller: 145 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194 - 41. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 10\/1173, -6, 5?\nAnswer: 10\/1173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157 - -156.9997496. What is c rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 10*r + 6. Let n be c(-10). Let g(y) = -y**2 + 7*y - 5. What is the units digit of g(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/12 + q**3\/2 - q**2 - 3*q + 13. Let l(n) be the first derivative of w(n). Let v = -3 - 0. What is l(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -57*p + 166. Let z be y(-5). Let l = z - 392. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.1 and 3.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/259, -219, -101?\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1*(575\/(-690))\/((-2)\/(-6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h + 64. Suppose 5*z = -0*z - 60. Let k be q(z). Suppose 4*r = -5*m + 7, 6*m = 3*m + 4*r + 17. Solve 6*y = m*y - 5*c - 10, -k*y - 8 = 4*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 407 divided by -37\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 494 + -510. Let k(p) = -5*p - 61. What is the remainder when 104 is divided by k(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.871584 to 1 dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/493 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*o - 13 + 22, 4*m + 4 = 4*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 2.2971347822?\nAnswer: 2.1971347822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 1. Sort 0, f, -1, 3 in decreasing order.\nAnswer: f, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 + 7*g + 10. Let c be v(-4). Suppose -c = -11*s + 17*s. What is the least common multiple of 1 and (6\/15 - 13\/s)*15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 35.99999814. What is n rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*x - 70*x + 702. What is the remainder when x is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 = -4*m. Let b = 293 + -292. Calculate the greatest common divisor of b and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 21. Suppose 2*a = -3*l + 40, 0*l - 4*l = 3*a - 54. Calculate the highest common divisor of l and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011 (base 2) in base 9?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/331251 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*59\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102900151 and 0.4.\nAnswer: -41160060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(149*l + 12507 - 12507)*(-4*l**3 + 2*l**3 + l**3).\nAnswer: 298*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37693532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-15)*(-95 + -2 + -5). Suppose -2*r = 5*r - 357. Calculate the highest common factor of r and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/18, -0.3, -1, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4197379, -8394759, -12592139, -16789519?\nAnswer: -20986899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 404640.\nAnswer: 404640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - s + 22. Suppose -15 = -12*g + 7*g. Suppose 0 = -g*z + z. Is 11 a factor of q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17111 is divided by 437.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + 4. Let u be l\/(-2) + (-36)\/8. What is the units digit of u\/2 - (-11 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2759131323 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4542 = -4*j, 2*j + 4*a - 1276 - 988 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9*p + 1140 = 0. Let b = p + 285. What are the prime factors of b?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*f + 25 = -2*f, -4*f = -4*i - 44. Suppose 4*p = 5*n - 106, -2*p + 85 = 4*n - 5*p. Let x = i + n. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**3*w - 552*f**3 + 12*f**2 + 60385*f*w**2 - 5*f*w - 1102 wrt w?\nAnswer: 3*f**3 + 120770*f*w - 5*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -222*f + 346. Determine v(2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 4. Let x(p) = 4*p + 7. Let y be 72\/(-3)*3\/2. Let r be ((-4)\/6)\/((-8)\/y). Let t = -358 - -363. Determine r*x(q) + t*f(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 82, 154, 248?\n\"Answer: 11*j**2 + 17*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3963 + 3970. Calculate the lowest common multiple of (-26)\/(-7) - (-4)\/14 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26.23724 (b) 3 (c) -6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 - 213. Let b(g) = -g**2 + 21*g - 67. Calculate the least common multiple of 5\/(-3)*(-3 - 0) and b(y).\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6893.754 rounded to the nearest 100?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.094 - -0.09399762. Round m to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/33 - (-52)\/6. Suppose -1405 = t*v - 4*v. What is v rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 3*l**2 - 3*l + 1. Let i be y(4). Let v = i + 0. Suppose 1 = v*k - 39. What is the remainder when 22 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + n - 6*n + 25 = 0, 5*n = 3*w + 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -40. Let f = 46 - u. Let l be (9\/f)\/(0 + 3\/(-2)). Put l, 3, 1.6 in decreasing order.\nAnswer: 3, 1.6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((1 + 5)\/24) - -1. Let t(s) = -s**3 + 2*s**2 + 5*s + 4. What is t(f)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101311\/7413 + ((-4)\/(-24))\/((-2)\/(-16))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*s + 10220 = -627*s - 334*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a26a8 + 276?\nAnswer: -3a2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 2. Let m be a(6). Let h(i) = 5*i**2 - 3. Is h(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 478630*p**4 + p**3 - 2*p**2 - 4897468*p - 1 wrt p?\nAnswer: 5743560*p**2 + 6*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 8, m: 1, e: 2}. Give prob of picking 4 g.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -401, -446, -475, -482, -461, -406, -311?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 616.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1\/2, -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 1 (c) 6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1347 + -1347.0587. Let f = 0.26 - 0.2. Let i = k + f. What is i rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -497 - -693. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 70?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448321971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 804*o**2 - 9376*o + 10176.\nAnswer: 4*(o - 212)*(o - 1)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 157 = 55 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6139026*f**2 - 46651223 wrt f.\nAnswer: 12278052*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 7*v + 8. Let c be s(6). Suppose -2*j + 0*j + 16 = 4*t, -11 = c*j - 5*t. Solve j*y + x + 2*x = 13, -3*y - x = -9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2 - 1\/3*r**3 + 1\/2*r**2 - 8*r. Calculate o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6420? (a) -0.5 (b) 164 (c) 0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433229 a multiple of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 1)*47\/(-141)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4800 is divided by 343.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -648313, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**6\/6 + 226*n**5\/5 + 187*n**3\/3 - 1037. What is the third derivative of q(o) wrt o?\nAnswer: 60*o**2 + 5424*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 22, 50, 96, 166?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1436818 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85979968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*g**3 + 456036 - 456036.\nAnswer: 270*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-1058653.\nAnswer: 59284568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1838 = 2*p - 1570. Suppose -f - w = w - p, -3400 = -2*f + 4*w. Let c = 8564\/5 - f. Calculate the common denominator of c and -34\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4889262 = -139*z + 97*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 33*a = -36. Calculate the least common multiple of a and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 11:53 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 269, 596, 1043, 1610, 2297?\n\"Answer: 60*z**2 + 27*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -40. Suppose -s = 8*z - 3*z. Let y(n) = -2*n - 5. Is y(z) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 17. Suppose -a - 155 = -32*a. Let h(f) = f + 8. What is a*h(q) - 2*x(q)?\nAnswer: q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1687.57853725 + -1690.3309. Let x = -5.2476376 + a. Let t = -8 - x. Round t to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.413 plus -85459?\nAnswer: -85460.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4043 and 36439?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8271702 (base 9) to base 12\nAnswer: 159006b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 10*p + 9. Let i be m(-9). Suppose 4*t - 13 - 1 = -2*u, -5*u + 13 = -t. Solve r - 9 = -q + u*r, i = 3*q - 2*r - 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2706 = -1376*r + 1253*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021035477 rounded to six decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (23 - 8) + 13 + (2 - (54 + 1))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 82535 = 5*k, -18*q + 14*q = 2*k - 330228. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 860.95+81\nAnswer: 941.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + 2 + (-27 - 12 - -16).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 72. Let i(s) = 14*s - 6. Let r(m) = -15*m + 5. Let g(z) = 5*i(z) + 6*r(z). Let j be g(-1). Solve -4*k + j = 2*u, 0 = -4*u - 2*k + p - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 k, and 1 x when four letters picked without replacement from lkkxvkkkkpkxkpxlxkk.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23436*c*l**4 - 11*c*l**3 + 2*c*l + 2*c - 2*l - 55149 wrt l.\nAnswer: 281232*c*l**2 - 66*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3\/6 + 7*m**2 - m. Let u be z(11). Suppose -f + 10 = 2*a, -3*a = a - u*f - 10. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 489130.7 decades?\nAnswer: 48913.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/((u**(-1)*u)\/u))\/u*u*u**(-6))\/(u**3\/(u*u**(1\/5)*u)))\/((u**1*u)**(-7\/2))**(4\/3) assuming u is positive.\nAnswer: u**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239871?\nAnswer: 41, 54631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ab9a + 6?\nAnswer: -1ab94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 - 27*l**2.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:59 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 187313656477 and -79?\nAnswer: 187313656556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/30 - 86\/(-30). Suppose 4 = 2*m - 2*l - 14, 2*m = -r*l + 38. Let h(y) = y - 15. Let j be h(m). Put -1, 0, j in increasing order.\nAnswer: j, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159693.438 + 4\nAnswer: -159689.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -702, -1411, -2130, -2865, -3622, -4407, -5226, -6085?\n\"Answer: -d**3 + d**2 - 705*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 3*a**5\/20 + a**3\/6 - 8*a**2. What is the first derivative of h(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 5, 0, -1.\nAnswer: -1, 0, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5159370 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.04, 0.2 in decreasing order.\nAnswer: 9, 0.2, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = 0, -5*b - v + 1 = -8 - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1596 by 7.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18548, -74185, -166914, -296735, -463648?\n\"Answer: -18546*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/125, 4, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-70) - (-16)\/7. Let o(z) = -z**3 + 3*z - z**2 - 7 + 19 - 8. Let j be o(-2). Solve 4*x - j*x = -n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14*q - 524. What is n(37)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 370565.4kg in tonnes?\nAnswer: 370.5654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -32*b**3\/3 - 2*b**2 - 4*b - 920. Calculate z(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + -6*-1*(-4*((-1*sqrt(637)*4 - sqrt(637)) + 2))**2.\nAnswer: -13440*sqrt(13) + 1529179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-6)\/p)*p)\/((p\/(p*p**(1\/2)\/p*p*p)*p*p)\/p))\/((p*p*p\/(p*p**4))\/p**(-16)))**(-13) assuming p is positive.\nAnswer: p**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 18*o + 2821 = -3*o. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*y + 472*y + 454*y.\nAnswer: 990*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 20, 3, -419?\nAnswer: -419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -124*t - 121. Give r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 197, 367, 593, 869, 1189, 1547?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406429 is divided by 485?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-55) - (-2)\/5. Let p(b) be the first derivative of -3*b**4\/4 + 2*b**3\/3 - b + 14. Let r be p(1). Put 5, s, r in ascending order.\nAnswer: r, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153235.\nAnswer: 3, 5, 7, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q - 36. Let u = q - 10. Calculate the remainder when 1\/(-2)*(2 - 32) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.13 (b) -7 (c) 87 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 = -5*y - 38, 3*x - y = -12. Let l be 13923\/3549 - (-48)\/(-52). Which is the third biggest value? (a) x (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113643701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 32 = -14*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*x + 5, 0 = 3*x - x + 2*v - 10. Suppose -30 = -2*o + x. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 17 = -5*p - 18, 3*f = -2*p + 49. Let i = f + -13. Suppose -i*z - 4*u = -2*u + 16, 14 = -z - 3*u. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3019 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 79?\nAnswer: -4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049*3.4.\nAnswer: 0.1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 61, 0 in descending order.\nAnswer: 61, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 5*h, -4*t + 3*h = 33 - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15144214 rounded to three decimal places?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52109994221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/5)*b*b**9*b*b*b**(-2\/5)*b\/(b*(b\/(b*b\/(b**(-7)*b))*b)\/b))**(2\/33) assuming b is positive.\nAnswer: b**(40\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 45 + 27)*(2182 - 2182 + 117*m**2).\nAnswer: -4212*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 10:17 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.109 + 22.191. Let s = -22.299851 + x. Round s to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 3)\/((-33)\/33). Solve 0 = -3*w + 4*o + 11, 0*o = -2*w + b*o + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 9342437.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Let m be (2\/(-8))\/(-1 + 2). Which is the nearest to -2\/3? (a) y (b) -4\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133244071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 1. Let g(a) be the third derivative of 0*a - 1\/6*a**3 + 0 + 44*a**2. Determine -g(z) + r(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 38*s = 43*s + 5, -5*y - 25 = -4*s. Let q = 1 - 1. What is the third biggest value in y, 10, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 606.14 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1983 - 1322. What are the prime factors of n?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o - 14 + 156 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2599 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4224 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -684*b - 9570. Calculate h(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/3, -73, 378, -3 in ascending order.\nAnswer: -73, -3, 11\/3, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 2:08 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 327 + -321. Let c(z) = 2*z - 20. What is c(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/31955 and 64\/1715.\nAnswer: 1565795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 y when four letters picked without replacement from ygggygggggyggggyygy?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 248, 1013, 2286, 4067, 6356, 9153, 12458?\n\"Answer: 254*s**2 + 3*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -6. Let o = 15 + t. Suppose 5*l + 8 = -o. Which is greater: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 + -0.12. Let m = 0.3 - -0.2. Let j be 6 - (62 + 10)\/12. What is the nearest to z in m, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 15*z. Suppose 4*u - u - 243 = z. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37305 and 22383?\nAnswer: 111915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**5 - s**5 - 2*s**5)*(1001 - 688 - 686).\nAnswer: 746*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -5, 14, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21654484147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 509 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q**2*y**2 - 280*q**2*y + 2*q**2 + 2840*q*y**2 + 8*q*y + y**2 - y - 3 wrt y.\nAnswer: -10*q**2 + 5680*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.364145km to centimeters.\nAnswer: 36414.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35637 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 4373760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -770*l + 667*l + 232123787. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64803189.3 and -327.\nAnswer: 64802862.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 863544.3 litres?\nAnswer: 863544300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 17*l - 134 = 5*v, 5*v - 282 = -3*l. What is the second smallest value in l, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54600 and 9000?\nAnswer: 819000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1086863, -1086860, -1086857, -1086854, -1086851?\nAnswer: -1086848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-78)\/13 + 1*-1. Let f be (-11)\/(-3)*(-42)\/l. Solve -f = 3*w + 5*c, 5*c = 4*c - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 134, 129?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 307, 322, 333?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 5129?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p + 2612 = 34*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 4 = -48 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -1\/40*c**5 + 1\/8*c**4 + 0 - 1\/4*c**3 + 4*c + 1\/4*c**2. What is n in r(n) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154916 divided by 38729.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 60. Suppose -2*f + 340 = 2*t, n = -3*t + 6*f - 2*f + 489. Calculate the remainder when t is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, l: 5, i: 2}. Give prob of sequence llh.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 - 1241*h**3 + 541233*h**2 - 93174235*h + 4496850050 = 0.\nAnswer: 77, 385, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - o = -3*l - 128499997, -77099997 = 3*l - o. What is l rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.4 + 8. Let n = x + 0.2. Which is the closest to 0.1? (a) n (b) 2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 6891 (b) -0.5 (c) 28 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -8, -5, 8, 37?\n\"Answer: d**3 - 4*d**2 + 4*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 1:15 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9939054 millennia?\nAnswer: 99.39054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 91. Let d = h + 59. Solve -3*o + 16 = d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*t = -24, 4*t = -0*h - 5*h + 55. Suppose -2*v - 5*r = 17, 5*r + 18 = 3*v - 19. Let c(k) = h + k - 2*k + v*k - 14. What is c(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -1454.0691\nAnswer: -1425.0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 24. Suppose 1 = 29*y - a*y. Is (6 + y)*44\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8374120\/51 less than or equal to 164198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18460, 36917, 55372, 73825, 92276, 110725?\nAnswer: 129172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/36*(4 - 1). Let c(z) = 2*z**2 - 13*z + 4. Let d be c(h). Let k(f) = -f**2 - 10*f - 9. Give k(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/66 and 55\/7.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 4*c - 2. Let r(u) = u - 1. Let i(l) = l**2 - 3*l + 5. Let s(t) = i(t) + 6*r(t). Give -4*s(p) + 3*z(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022022220101 + -100?\nAnswer: -1022022220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-3)\/(-5))\/((-4)\/(-5)). Let s(q) = -q**3 + 3*q**2 + 3*q - 7. Let m be s(d). Let -k**m + 40*k - 48 + 0 - 32 - 4*k**2 = 0. Calculate k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/25515 and 85\/19404.\nAnswer: 7858620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t. Let f(w) = -w**2 + 6*w - 6. Let l be f(5). Suppose q + 2*n - n = 1, -q = -4*n - 21. Sort q, t, l.\nAnswer: l, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-180)\/25 - -8 - (-63)\/15. Suppose 2\/3*u**3 - 1\/3 - 2\/3*u**2 - u + u**4 + 1\/3*u**g = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-905\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 6:01 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 577 + 233 = 0. Let g(k) = -k**2 - 7*k - 6. Let q be g(-5). Solve -u*v**3 + 2*v**5 + 0*v**q + 47*v**3 + 5*v**4 - v**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaazaaaaaza.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(192)*-3 - (sqrt(192) + -2 + (sqrt(192) + 2*sqrt(192) - sqrt(192)))) + -1 + (sqrt(192)*1 + 1 - (sqrt(192) + sqrt(192) + 1)*-5)**2.\nAnswer: 840*sqrt(3) + 23273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + 3 + (1 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h. Let v(f) = 38*f**2 + 380*f + 2. Let x be v(-10). Let q(a) = 286*a. Calculate x*q(j) - 39*i(j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsss when four letters picked without replacement from qvzsscqvvvs?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 3:42 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 788688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {m: 1, t: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d + 78. Let n be l(10). Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -22 - (9 + -19 + 11 - (-1 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 928 and 31456?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000100 (base 2) in base 4?\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = 23. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 96, 2\/107 in increasing order.\nAnswer: 2\/107, 0.6, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/311? (a) 0.4 (b) -5 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -5*sqrt(1088) + 2 + sqrt(1088) - ((sqrt(1088)*-5 + sqrt(1088) - sqrt(1088)) + -4))*1)**2 + 0.\nAnswer: 192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100\/13*x**2 + 2\/13*x**3 + 0 + 66*x.\nAnswer: 2*x*(x - 39)*(x - 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 62445445?\nAnswer: -62445437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 10*n**2 - 6*n + 251. Give t(-11).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39559884 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62138, -61991, -61844, -61697, -61550, -61403?\n\"Answer: 147*l - 62285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6583648003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let q be d(-4). Let g be 62\/8 + q\/32. Suppose 2*o - 3*w - g = 0, o = 5*w + 5 - 15. Solve -4*k = -o + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 51848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuppusupbulp. What is prob of picking 1 l, 1 u, and 1 b?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:30 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:36 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from mpbdixb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*-1*-2)\/(sqrt(96) - ((sqrt(96) + sqrt(96)*-1)*1 - sqrt(96))).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j + 3738 = -47*j + 263*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22869?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/23359 - -304201\/6236853. Find the common denominator of 8\/2403 and m.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -75 - r + 74 + 8*r. Let x(n) be the third derivative of n**4\/24 + 5*n**3\/6 + 9*n**2. Let v be x(-4). Give l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -g + s - 4, 0 = -g + s. Let c be ((-2 - g) + 5)*-1. Let h(t) = 3*t + 8. Let w be h(c). Solve 10 = -5*j + 5*n, w*n - 5 = 4*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + r**2 - 13*r - 23. What is the hundreds digit of s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003944892 rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59220 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129379862.\nAnswer: 2, 43, 1504417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39789d (base 16) to base 9.\nAnswer: -7070511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(sqrt(1573) + sqrt(1573) + sqrt(1573)*1)*2 + 1)**2*-3.\nAnswer: -36694962 + 14256*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from eeaaeoae.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -524, -453, -302, -41?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, -2, 9 in decreasing order.\nAnswer: 9, -2, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*2 + (sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(6)\/sqrt(3) + -3))) + 1)**2.\nAnswer: -72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djojjsdj. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*d + 7*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, 8\/3, -2, 5, 2\/7 in increasing order.\nAnswer: -6, -2, 2\/7, 8\/3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/254 and -31\/29972?\nAnswer: 29972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29850 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1604 and 222154?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = -26*c - 14*c - 7*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from pdpzgzglzggppzjgll?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-104)*1 - 43*54\/10062?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2185*s**2*x**3 + 4*s**2*x**2 - 7*s**2*x - 3*s**2 + 3*s*x**3 - s*x**2 - 575796*x**2 - 9 wrt s?\nAnswer: 4370*x**3 + 8*x**2 - 14*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 1023*n**3 + 1021*n**2 - 1023*n - 1022.\nAnswer: (n - 1)*(n + 1)**2*(n + 1022)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + 297*w**3 - 2*w**2 + 3 - 298*w**3 + 3*w to the form n + s*w**2 + c*w**3 + v*w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1322, -1326, -1340, -1370, -1422, -1502, -1616, -1770?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 19 = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 - 15\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 8*j - 7. Let a be q(-7). Let g(o) = 5*o - 3 - 1 + a. Give g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1\/103, 3, 6\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-1 - -1))*2. Let h = o + -30. Which is the third biggest value? (a) h (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -870, 4, -1 in decreasing order.\nAnswer: 4, -1, -870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68128 and 1.\nAnswer: 68128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 3*a. Let z be (0 - (-6)\/2) + (-14 - -16). Let k(r) = -r - 1. Let s(g) = z*k(g) + 5*l(g). Determine y, given that s(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2851 + 0.287761. What is c rounded to four decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6))\/((-1)\/((-8)\/(-6))). Let g be -1 + -5599998 - (0 - (1 - t)). What is g rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**4\/f*f)\/f)\/f)\/f*(f*f**(1\/19)\/f)\/f)\/(f**(1\/12))**(-1\/41) assuming f is positive.\nAnswer: f**(511\/9348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*q + 58 + 33, -5*q - u = 82. Let c(m) = m**3 + 15*m**2 - 34*m + 9. Calculate the lowest common multiple of c(q) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -117441, -234960, -352547, -470196, -587901, -705656?\n\"Answer: h**3 - 40*h**2 - 117406*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*q = -1069, -41*q + 44*q + 9 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-540)\/(-264)*1\/35. Let z = r - -593\/154. Calculate the common denominator of z and 109\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -8. Let q = -1.1 + i. Let w = -0.1 - -0.3. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 4*b + 3*b + b to the form u*b + m and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -191*k**8\/336 + k**7\/105 - 159*k**4\/8 + 499*k**2. What is the second derivative of u(q) wrt q?\nAnswer: -3820*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(2057) + 2 - sqrt(2057) - sqrt(2057)) + (sqrt(187)*-6)\/sqrt(11) + 0 + sqrt(833))**2.\nAnswer: -192*sqrt(17) + 17417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 1 + 110 = -81 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1, 7, -172?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(65) + 1*sqrt(65)) - sqrt(65))\/(sqrt(15)\/(sqrt(3) + 1*sqrt(3)) - sqrt(5) - sqrt(5))*4.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 + 2 = 0. Let o(d) = d**2 + 3*d + 6. Let z be o(-4). Find the common denominator of 57\/t*z\/12 and 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -5, -2\/9, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 98, 76, 48, 20, -2, -12, -4, 28?\n\"Answer: v**3 - 9*v**2 - 2*v + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-4)*d)\/d**(-4\/3))\/(d**(-3\/5)\/(d\/(d\/(d*d*d**7)))) assuming d is positive.\nAnswer: d**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1868464.\nAnswer: 1868464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.27 and 0.02899.\nAnswer: 0.3557073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 19. Let a be m(-9). Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2\/9 - 46904*r\/9 + 93824\/9 = 0 for r.\nAnswer: -11728, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 65524277304+0.4\nAnswer: 65524277304.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -10. Let n be (-3)\/(-28 + -5)*-1. Which is the nearest to 2? (a) n (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 217?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-135))\/(13\/(-156))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 31692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -130587.\nAnswer: -130587, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 200 + 300 = 0. What is the remainder when 71 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*r = -13, k + 15*r - 16*r = 13 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 3 - (11 - (7 - -1)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p*p)**(2\/47)\/((p\/(((p\/(p**(3\/4)\/p))\/p*p)\/p))\/(p**(-4\/9)\/p)) assuming p is positive.\nAnswer: p**(-4073\/1692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1346270 and 41\/50?\nAnswer: 6731350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9249 minus 14171?\nAnswer: -23420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2, 97.49, -4, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*s**4 + 0*s**2 + 0*s + 0 + 0*s**3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-5)\/(100\/(-128)). Let g = 1105 - 1009. What is the greatest common divisor of g and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/2 + 2294*i - 1530 = 0. Calculate i.\nAnswer: -1530, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-7) + 4)*(99\/55 - (-130)\/25).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*w - 2*w. Let x be 4 + w + 1 + -8. Let n = 2.9 - 3. What is the closest to n in x, -1, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 21*q**5\/2 - 543689*q**4\/2 + 2346009404*q**3 - 6748612552260*q**2 - 321591254200*q + 642735647000 = 0.\nAnswer: -1\/3, 2\/7, 8630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 5, y: 3, i: 1, o: 2}. What is prob of picking 1 q and 1 p?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 49 = -2*u, -4*w - 12 = -u - 59. Let j = -19 - -40. What is the remainder when j is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/1681 and -2\/327.\nAnswer: 549687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -2)*(37 - -3). Suppose 5*h + 0*h = x. What is the remainder when 48 - (2 - 3)*-1 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 6) + 12 + -13. Suppose 0 = -3*u - 2 - 13. Let z = u - j. Solve -z*c = 5*d + 10, 5*c = 4*d + 10 - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2046 and 4026?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 21. Let c = -60178 - -3429973\/57. Let p = -26\/19 - c. Put p, a, -3\/5 in ascending order.\nAnswer: a, -3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4656407 (base 8) to base 7.\nAnswer: 13533464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 12*v**2 + 18*v + 11. Let s be c(-13). Let p(a) = 2*a**2 - 4*a + 7. Let j be p(7). Let l = s + j. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3034 = 1110. What are the prime factors of u?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 2*p + 2. Does 3 divide i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72868 is divided by 1969.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*q - 148 = 6*q, 2*g = -4*q + 80. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 292 (b) -133 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 + 494 = 16*o. Calculate the remainder when o is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 2:11 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s. Let w(g) = 1409*g. Calculate w(y(x)).\nAnswer: 5636*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 + 3*g**2 - 3*g + 2. Let b(o) = -7*o**3 + 4*o**2 - 4*o + 2. Let z(q) = -3*b(q) + 4*s(q). Find the first derivative of z(l) wrt l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3793, 6, 0.062?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 + 3*m - 13. List the prime factors of s(5).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 4, z: 11}. Give prob of sequence xzzx.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 2, q: 1, z: 3}. What is prob of picking 1 p and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(33)\/sqrt(3))*5 + 3 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + 0)))**2*-2.\nAnswer: -3165 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8750 and 6.\nAnswer: 8756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5170 and 73040?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 p when three letters picked without replacement from vppxepcvpkvvccpxxv?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -16*g, -157*a + 2*g - 29 = -152*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 1, y: 3}. Give prob of sequence fyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03939401 + 0.0394. What is b rounded to seven dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*d*h**3*u - 4*d*h*u**2 - 2*h**3*u**2 + 9*h**2*u + 19*u**2 wrt d.\nAnswer: 83*h**3*u - 4*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10532 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92667, -370687, -834049, -1482753, -2316799, -3336187?\nAnswer: -4540917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 2, a: 5, v: 1, u: 2, x: 6}. What is prob of picking 1 i and 1 u?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -19, -3, 35, 101?\n\"Answer: s**3 + 2*s**2 - 13*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -5, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 232, 2\/17, 2\/7 in descending order.\nAnswer: 232, 1, 2\/7, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(13) + 2 + sqrt(13) + (1*sqrt(13)*-1)**2 + ((2 + sqrt(1053))**2 - sqrt(468)*-4).\nAnswer: 64*sqrt(13) + 1074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62386 divided by -62386?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118370520 divided by -7891368.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (280\/(-21))\/2*8\/(-16)*-6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 - 2*t + 1. Suppose -5*d - 2*q + 237 + 208 = 0, -5*d + 3*q = -470. Let a(v) = 210*v. Let o(x) = 14*x. Let i(b) = d*o(b) - 6*a(b). What is l(i(y))?\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/((-104)\/24 - -5). What is the greatest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-403)\/(-3978))\/(1\/5). Let p = r + -1\/153. Let t = 1.9 + -0.9. Put t, p, 3\/7 in decreasing order.\nAnswer: t, p, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 34452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b**2 + 12*b - 2. Let k(f) = -2*f. Let n(t) = 10*k(t) + 2*s(t). Let x(y) = 649*y**2 + 99*y - 99. Give 99*n(u) - 4*x(u).\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 1, v: 1, n: 1, c: 5}. Give prob of picking 1 v, 1 c, and 1 e.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 + 3 - 2*b**2 + 0*b**4 + b**4 + 2*b in the form r*b**3 + v*b + g*b**2 + t + z*b**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - g + 23 + g + 12*g**3 - 42.\nAnswer: 12*g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18546*y + 18532*y - 112 = 0. Let k(h) = -3 - 4*h + 2*h - 9. Determine k(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 827 or 712?\nAnswer: 712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17152498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c0bc + -4?\nAnswer: -7c0c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394989 is divided by 801.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671 - 595. Let x be ((-54)\/8 + 2)*-4. Calculate the greatest common divisor of x and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3506 - -3521. Let l(a) = a**2 - 9*a + 10. Let y(w) = -w**2 + w - 1. Let r(t) = -l(t) - 3*y(t). What is the remainder when r(5) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -2559?\nAnswer: 255c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p**4*t + 847422*p**3*t - 19068466*t wrt p?\nAnswer: -16*p**3*t + 2542266*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.543752506 to four decimal places.\nAnswer: -1.5438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/17*m**2 + 12\/17 - 14\/17*m = 0. Calculate m.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49983 - -144541. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23977, 23973, 23969, 23965, 23961, 23957?\n\"Answer: -4*d + 23981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dffdf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-16)\/u*u)\/u**(-2\/35) assuming u is positive.\nAnswer: u**(-523\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10898971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 1 - 3)*(5 - 3 + 0) - 3 - 4 + 3)*(4*i**3 - 2 + 2) as w*i**3 + p*i**2 + s*i + z and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 4 (c) -58 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612049 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20216\/9747*3\/(-7).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 9*p**2 + 0 + 1\/6*p**3 + 0*p - 1\/12*p**4. What is the units digit of a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 32 = 2*b. Suppose 16 = -b*c - 12. Let x(a) = 8*a**3 + 8*a**2 - 8*a - 24. Let w be x(c). What is w rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106107.\nAnswer: 3, 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 4 + -4*sqrt(10)\/(sqrt(180)\/sqrt(9)) + 3)**2.\nAnswer: -44*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lub when three letters picked without replacement from {l: 1, e: 1, u: 2, r: 3, b: 6, s: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 305717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:41 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 11*x**6\/60 - 343*x**5\/60 - 428*x**2. What is the third derivative of r(k) wrt k?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 8*n - 21. What is s(8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1423, -2773, -4097, -5383, -6619, -7793, -8893?\n\"Answer: 2*i**3 + i**2 - 1367*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 4:11 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43122.\nAnswer: 2, 3, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*j - 3 = -5, 5*j = h + 5. Suppose -3*i + 4*i - 4 = h. Find the first derivative of -1 + 0*t**i - 1 - t**4 - t**4 wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/9*3\/22. Which is the nearest to 2? (a) -1\/6 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4157.146 from 0.12.\nAnswer: 4157.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**3 - 5*x - 46*x**3 + 5*x + (4*x**2 - 3*x**2 - 3*x**2)*(19*x - 17 + 17) - 2*x**3 + 0*x**2 + 0*x**2.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is -91 <= -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 49. What is the nearest to s in 0.5, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 17*d + 15. Let f(q) = q - 1. Let w(i) = 22*f(i) + 2*g(i). Factor w(x).\nAnswer: 4*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1714, 3428, 5142, 6856, 8570, 10284?\nAnswer: 11998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -28. Suppose -i*h = -0*h - 60. Solve -w - 3*w = h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5 - 75*g**4 + 394*g**3 - 480*g**2 = 0.\nAnswer: -80, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.17, 5, 53\/4, -5, -2.\nAnswer: -5, -4, -2, 0.17, 5, 53\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**7\/210 - 107*a**6\/60 + a**5\/15 + a**4\/24 - 1163*a**3\/6 - 10*a**2 + 312*a. What is the second derivative of o(r) wrt r?\nAnswer: 12*r**2 - 1284*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 4. Let j(u) = u**2 + 3*u - 12. Let o be j(-6). Let w be 120\/(-25)*(-20)\/o. Let d(v) = -12*v + 1 + 2 + w*v. What is -2*b(c) - 3*d(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4983 and -3.\nAnswer: 14949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -700055?\nAnswer: -700061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7770 is divided by 3841?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1) + (18 - 21). Which is the third smallest value? (a) 2\/13 (b) w (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7905402174994 and 1.1.\nAnswer: 0.3094597825006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/216)\/((-10)\/20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2039055569 to the nearest integer?\nAnswer: 45156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (7 - 13) - -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**24*f)**(8\/5)*((f\/(f*(f**(-26)*f)\/f))\/f)\/f**(-21) assuming f is positive.\nAnswer: f**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:28 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -52. Solve -3*q = 5*d + m, 7*q = -5*d + 2*q - 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 221 + 37. Suppose 2*s + 2*k = g, 3*s + 2*s + 3*k - 115 = 0. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1613\/5, -0.02, -0.1 in descending order.\nAnswer: 3\/7, -0.02, -0.1, -1613\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 240335 divided by -5\nAnswer: -48067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmll when four letters picked without replacement from lmmmblvvbvbl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 + 80*k + 3. Let u be z(20). What are the prime factors of u - 8002\/(-8) - (-48)\/64?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13220*a**2*y**3 + 2*a**2*y - 81*a**2 + 11*a*b*y**3 + a*b*y + 2*a*b + 42*a - 86*b*y**3 - 48*b*y**2 wrt y?\nAnswer: 79320*a**2 + 66*a*b - 516*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**11)\/m*m**(-12)*m**(-2\/23)\/m*m**(-2\/13))**(1\/30) assuming m is positive.\nAnswer: m**(-67\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-4*3\/(-9). Let u(n) = -2*n**3 + 4*n**2 + 5*n - 3. Let o be u(f). What is the common denominator of -19\/5 and 1\/((-12)\/o)*-3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 2, x: 2, g: 1, t: 1, u: 2}. Give prob of picking 1 i, 1 u, and 2 y.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*o + 61 = 5, 5*o - 30 = -5*x. Let t(z) = z + 29. Let w be t(x). Suppose 0 = -3*v + j - w, -v + j - 11 = -0. Which is bigger: -13 or v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55406 (base 8) to base 2.\nAnswer: -101101100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + k**3 + 2*k**3 + 185*k**3 - 328*k**2 + 328*k**2 + (-4*k + 2*k + 0*k)*(k - k - k**2) + k**3 + 0*k**3 + 0*k**3 - 4*k**3 - k**3 + 4*k**3.\nAnswer: 186*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*a**4 - 53*a**4 + a**2 - a**3 - 54*a**4 + 2*a + a**2 as x*a + s*a**3 + j + u*a**2 + d*a**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -939 (base 12) to base 13\nAnswer: -7c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**18)*a)\/a*a**(-2\/31))**(12\/11) assuming a is positive.\nAnswer: a**(-7092\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12883, -12886, -12893, -12904?\n\"Answer: -2*k**2 + 3*k - 12884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.3 - 9. Let j = n - 0.3. Let u = -44 - -45. Which is the closest to 1\/4? (a) u (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*(96\/(-6) + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 - 3*q + 2. Let d be u(7). Calculate the greatest common divisor of 165 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40694 * -0.18\nAnswer: 7324.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.098 to 2 decimal places.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-42)\/(-18))\/7)\/(4\/6). Solve 0*z**2 + 0*z + c*z**3 + 0 + 1\/2*z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 25*w + 35. Calculate x(-10).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 303 + (-4)\/(-4). Suppose -152 = -2*f - 4*x, 4*f + x - j = -x. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*l = 202, -2*p - 2*l + 163 = 29. Let o = p - 25. Factor -o*f + 18*f + 196 - 17*f + 4*f**2 - 14*f.\nAnswer: 4*(f - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26375232 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**3 - 21*k**2 + 106?\nAnswer: 3*k**2 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h - 10. Let y be c(7). Let f be ((-1)\/4)\/(y\/12). Let l be 4\/10 + (-72)\/105. Is l at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -20*v**2 + 50*v + 82. Let s(k) = -9*k**2 + 25*k + 41. Let x(r) = -5*a(r) + 11*s(r). Calculate x(-22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 334?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 27\/7*g - 27\/7*g**3 - 15\/7*g**2 + 3*g**4 - 6\/7 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -158*m + 9. Let v(l) = -79*l + 4. What is -9*v(a) + 4*x(a)?\nAnswer: 79*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, q: 3, l: 2, s: 7}. Give prob of picking 2 s and 1 q.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.88 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2, -149, 0, 7, 254 in increasing order.\nAnswer: -149, -3, -2, 0, 3, 7, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*j**2 - 14*j**2 + 2*j**2)*((j + 5*j - 4*j)*(0 + j + 0) - j**2 + 0*j**2 - 3*j**2) as a*j**4 + x*j**3 + v*j**2 + l + h*j and give a.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(3\/4)*a)\/a*a)**3\/((a*a**(-1))\/a)**(-3\/19))**(2\/11) assuming a is positive.\nAnswer: a**(843\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*y - 83 = 0, -y + 298 = 4*u - 4*y. Let k = u - 26. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*i**2 + 40 + 0*i**2 - 8409253*i**3 + 8411879*i**3 + 4*i wrt i?\nAnswer: 15756*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccqq when four letters picked without replacement from ccccqcgqqcccccccc?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46810087 a multiple of 3183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 206646, 206648, 206650, 206652?\n\"Answer: 2*p + 206644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 36. Solve p = 5*y - p - 8, 0 = s*y - 3*p - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 13. Let r be m(-15). Does 47 divide r*34\/4*(14 + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*m + 219, 3*s + 0*s - 2*m = 201. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*z**2 - 317*z**2 + 160*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -0.4.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {m: 3, b: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2647 + -3?\nAnswer: -264a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.517 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5f5a6 (base 16) in base 3?\nAnswer: 201211202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-8)\/10)\/((-442)\/149175) and 24.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-1\/2)*q**(-6\/5)*(q**0*q)**27 assuming q is positive.\nAnswer: q**(273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/4 (b) 2\/135 (c) -5 (d) -40.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-6) + 4 + (-1)\/(-6). Suppose -4*u = 3*i - 298, 3*u - k*i + 70 = 4*u. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 1.3. Is j at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.92 + 5.91909. Round w to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 + 2*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-9 - -6 - 0) + (-7 - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 11*p + 30 = 23*v, -5 = 5*v - 4*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 + 309*x + 1898. Give s(-6).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/((-2)\/3). Let s(v) = v**2 + 7*v - 6. Let z be s(-8). List the prime factors of (z\/(-4))\/(w\/52).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -306023*o**2. Let c(h) = -3*h**2. Give c(j(z)).\nAnswer: -280950229587*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 52*t + 15. Let a be s(25). Let h = a + -1. Solve -59 = -j - h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.9, -7\/169, -202, 5?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12 (b) -1.17 (c) -1\/2 (d) -0.6 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.075942 months to millennia.\nAnswer: 0.0000063285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 91 - 72 + 44 = 0. Let t(f) = -f**3 + 19*f**2 - 34*f + 36. Calculate t(h).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**2*o**6 + 2*b**2*o**2 + 7*b**2 - 19*b*o**3 + 3*b wrt o.\nAnswer: -1680*b**2*o**3 - 114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188 + -1209 + (0 - -25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4967 is divided by 275?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11839280 to the nearest integer?\nAnswer: 3441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6612 and (-3)\/(405\/(-40))*(-2)\/((-30)\/(-225)).\nAnswer: 19836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/14)*t**(1\/5) assuming t is positive.\nAnswer: t**(19\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -58.3.\nAnswer: -60.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqsqqssq. Give prob of sequence qs.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/110)\/(353\/(-23298)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.59 - 0.606. Let l = 61 - 102. Let d = l + g. Round d to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 108?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l + 2. Let t be h(1). Let r(c) be the second derivative of 0 - c - 7\/2*c**2 + 1\/12*c**4 - 1\/2*c**3. Calculate r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwaafaww. Give prob of sequence aaw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -4, -0.228586?\nAnswer: -0.228586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-4)*(-2380)\/(-4420))\/(-3*4\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 40. Suppose 0 = c*t - 25 - 29. Let i be -3*(0 + 8\/6). Put 3, t, i in decreasing order.\nAnswer: t, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30253125040 + 5?\nAnswer: 30253125045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 - 86 = -5*k. Let c = 155 - k. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16789 divided by 2237?\nAnswer: 16789\/2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 1. Let m be d(3). Let c = 4 + m. Let g be -3 + c + (-12)\/3. Let b(p) = -p**2 - 6*p - 3. Calculate b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2990 - -2994. Let z(f) = -f**3 - 7*f**2 + 4. Let a be z(-7). Solve -u = -2*w + a*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -7 + (5 - 1). Solve 0 = c*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.122, 1\/4, -0.061?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4944, 2435, -1730, -7539, -14980, -24041?\nAnswer: -34710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 24*t + 50*t.\nAnswer: 71*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5535, 11035, 16533, 22029?\n\"Answer: -o**2 + 5503*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a**2 + 19*a + 255 - 664 + 401. Let d(m) = -4*m**2 - 5*m + 2. Determine 9*d(b) + 2*z(b).\nAnswer: -2*b**2 - 7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 470814173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(((t*t**(13\/2)\/t)\/t)\/t*t)\/t)\/(t**18*t*t))\/(((t\/t**15)\/t)\/(t\/((t\/t**(-1))\/t))) assuming t is positive.\nAnswer: t**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 3*m**2 - m - 1. Let p = 5 - 8. Let v be b(p). Solve -4*z + 3*q - v = 11, 13 = -2*z - 5*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493195 = -g + 9*g - 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 + 5*p**3\/3 + 16*p**2 + 47*p. What is x(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**3 - 5*c**2 - 6. Let d be -3 - (36\/1)\/(-4). Let k(q) = q**3 + q**2 + 1. Determine d*k(h) + m(h).\nAnswer: h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1417, -1084, -711, -448, -445, -852, -1819, -3496?\nAnswer: -6033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 4*o**2 + 36*o + 39. Let j be v(-1). What is the nearest to j in -42, 4\/7, -3\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 52\/3. Let k = 0 - 1. Let f = 0.23 - 0.33. Which is the nearest to v? (a) k (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let r(g) = -32*g - 34. Let s(y) = r(y) - 6*u(y). Let a be s(-8). Suppose 14*d = 10*d + a. Calculate the highest common factor of d and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t - 65*t + 60 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 245133 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: Which is the second biggest value? (a) 153 (b) 0.05 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 13*w**2 - 14*w + 20. Suppose 2*i - 43 = 9. Suppose 1 = -l - 3*z, i - 1 = -5*z. Is 5 a factor of v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13008 and 162312.\nAnswer: 87973104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 + 1 - (-3 + 4). Solve x - 1 = 2*b - v*x, 0 = -3*b + 2*x - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15666 and 20013?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557524 is divided by 2239?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = -2*t. Let a = t - -4. Suppose -4*v = a*s + 3*s - 168, 4*s + 157 = 3*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, 10, 45, 112, 223, 390?\n\"Answer: 2*n**3 - 2*n**2 + 7*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + 11 + -1 - (-1 + 3). Let t be (j - -3) + 135\/(-117). Which is the nearest to -0.1? (a) t (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/24*12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 1690*c - 1698*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18009223*d**2*o**3 - 89526*d - 168*o**3 wrt d.\nAnswer: -36018446*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**6)\/f**(-3\/7)*(f*f\/f**(2\/7)*f)**(-42)*(f\/(f\/f**(1\/4)*f))**(-18)*(f\/f**(-3\/10))\/f**(-2) assuming f is positive.\nAnswer: f**(-3562\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*c - 2*s - 15, 21 = 4*c - 5*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -523 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/20 and -77\/30848?\nAnswer: 154240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 + 2*b - 10. What is the lowest common multiple of 2 and n(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4056 (c) -2\/3 (d) 0.5 (e) -0.0336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7a8 (base 12) to base 9\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -477*d**5 + d - 24 wrt d?\nAnswer: -9540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126011758171190.66399973 - 126012745423049.664. Let c = 987251847 + v. Let w = -12 - c. What is w rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*i - 60, -5*i + h = 2*h + 67. Let q be 224\/104 - (-2)\/i. Solve -q*a = -2*p - 3 - 3, -p = a - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 11*l**2 + 87*l + 65. List the prime factors of u(28).\nAnswer: 11, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2 + 94*h + 146. Determine z(13).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61188, -61186, -61184, -61182, -61180, -61178?\nAnswer: -61176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 320, 547, 866?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 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: Calculate the common denominator of -13\/207 and 67\/46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 12067 and 711.8.\nAnswer: 12778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + 5*j + (-2*j + j + 3*j)*(0 + 2 - 1))*(-j**2 - 1 + 1) - j**3 + 4*j - 4*j + (205*j + 47*j - 60*j)*(-j**2 + 5*j**2 + j**2).\nAnswer: 955*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*h**(-1\/2)*h*h)))**(-8\/3)*h\/h**(-2\/5)*h*h\/h**(-8))**(-20) assuming h is positive.\nAnswer: h**(-124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20) + -1.\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-2 + (2 - -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 110987319607\nAnswer: 110987319606.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1664 and 768.\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -85*x**4\/4 - 14*x**3\/3 + 67. What is the third derivative of j(w) wrt w?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - 117.7. Let n = 73 + h. Let t = n + 40. Which is the biggest value? (a) 2\/11 (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let g(d) = -16*d**3 - 6*d**2 + d + 16. Let w(k) = 62*k**3 + 22*k**2 - 5*k - 60. Let t(p) = -15*g(p) - 4*w(p). Calculate t(z) - 5*y(z).\nAnswer: -8*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 1, q: 2}. What is prob of picking 1 q and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-11))\/(-2) + ((-665)\/(-231) - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - ((-434)\/(-35) - 10)\/((-1)\/(-40)). Suppose -2*n - 225 = 5*i, i + 91 = 2*n + 298. Let t = j - n. Solve 3*l - 3*d = -15, 2*l - t*d = l - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 79 = -2*z - 4*l, 167 = 4*z + 5*l. Suppose z*g - 32 = 30*g. Calculate the highest common factor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -4*y. What is the tens digit of y\/6*-21*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 56569004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324023339 is divided by 380?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -4\/1009?\nAnswer: -4\/1009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 19662335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.82 - 41.82. Which is the nearest to 0? (a) -0.3 (b) v (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 46. Sort 0, 2\/7, w.\nAnswer: w, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9*s + 8*s = 9314, 5*s = -2*c + 18572. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:30 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0 + 10\/3*x**3 + 11*x**2 - 1\/6*x**4 + 19*x. Factor i(y).\nAnswer: -2*(y - 11)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqtttttq. Give prob of sequence tqqt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-57) - 5\/(-24). What is the smallest value in -8, z, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21623794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 2*t + 51*t - 4*t**2 - 10*t to the form v*t**2 + d + s*t and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**(-3\/7)*t)\/t)\/t)\/t)\/(t\/(t\/(t\/t**12*t))))**(-14\/9)*(t**(-5\/9)\/t**(-9\/2))**(1\/21) assuming t is positive.\nAnswer: t**(-4381\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -65*i + 22\/3*i**3 + 0 + 81\/2*i**2. Differentiate c(m) wrt m.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4 + 157*z**3 + 1476*z**2 - 1124*z - 804*z**2 + 496 - 37*z**4 - 816*z = 0?\nAnswer: -4, 2\/7, 2, 31\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*i + 146*i = -21312. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and 1 + (-2 - 0) - (-230)\/(-45)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12032332310131 + -11?\nAnswer: -12032332310202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15837604*w**3 - 10210572*w**2 wrt w.\nAnswer: -95025624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*o + 20, 4*o = 17 - 1. Let h(d) = -2*d - 4*d + 5*d + v*d. Let s(w) be the first derivative of -w**2 - 51. Give h(s(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 504*q. Let u(j) = -2*j - 7. What is u(b(r))?\nAnswer: -1008*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9 + 6*k - k**2 - k + 8*k + 3*k. Is y(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957193 is divided by 1987?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 + 3*q**4 + 2*q**4)*(-4 + 1 + 1)*(4 - 2 - 1)*(q - 2*q + 0*q).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 17. Let w be 33\/7 + (-6)\/(-21). Let z(n) = 2*n + 0 + w - n + 1. Give -6*h(g) + 17*z(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1552021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 12*c - 10*c - 5, -4*c = -2*p + 14. Let t(i) = -i**2 + i - 1. Give t(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -7*w**6\/120 - w**5\/30 - w**4\/24 + 3*w**2 + 946. Let m(r) = r**3 + 9*r**2 - 11*r - 11. Let p be m(-10). Calculate z(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4199, 0, 19.2 in decreasing order.\nAnswer: 4199, 19.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10300317 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-105)\/98*168\/(-216). What is the second smallest value in 3.7, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + 310\/(-30))*9\/(-6). Let q be -8 - -6 - -2*21\/3. Solve 0 = -11*t + q*t + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110580548677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/((-26576)\/(-13299) - 2) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + ((sqrt(180)*2 - sqrt(180)) + sqrt(45) - sqrt(45))\/(sqrt(324)*3)).\nAnswer: -10 - 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -104.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 3:10 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3344 (base 5) to base 13.\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 21*v + 111. Let s be n(9). Suppose -s*k + 3*t - 6 = -5*k, 4*k - 2*t = 28. Solve -d + 7 = k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Suppose 2*y - 6 = -y. Let c(k) = y*k + 3 - 3. What is c(t(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128387 - 128345. Let b(y) = -5*y**3 + 3*y + 2. What is the smallest common multiple of b(-2) and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387200 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16976 and 1143232?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c**3 + 3*c**2 - 11. Let f(x) = 15*x**3 - 4*x**2 + 12. Let s(m) = -3*f(m) - 4*w(m). Find the first derivative of s(a) wrt a.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*u - 44321 = -1221*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 135, 258, 375, 480, 567, 630, 663?\n\"Answer: -s**3 + 3*s**2 + 121*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4492897\/70 - 64183. Let i = 1998\/13 + -14467\/91. Find the common denominator of s and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8484295 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + (-75 - -17 - -26) + -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5170 divided by 1034\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876374 to the power of 1\/2, to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*o + 78*o**3 - 68*o**3 + 49*o**3 + 131*o**3 + 151*o**3 wrt o?\nAnswer: 2046*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -564 + 598. Which is greater: k or 32?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400121 (base 6) to base 2\nAnswer: 111100110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f - 24. What is l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by -37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13080 and 9982656.\nAnswer: 49913280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 4, p: 4, t: 6, k: 2}. Give prob of picking 1 k and 1 z.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0792448 + 0.\nAnswer: -0.0792448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 8*f**2 + 1 + 4*f**2)*(16*f + 14*f - 12*f)*(f - 5 + 5) - 3*f**4 + 2*f**4 + 0*f**4 to the form n*f**2 + o*f**4 + q*f**3 + z*f + d and give o.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832677.\nAnswer: 3, 17, 29, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + 399291?\nAnswer: 399302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 7 - 6\/2. Is 15 a factor of 56\/(-14) + ((-164)\/(-1) - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 85*q - 1087 - 513 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96753516 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 580633720 or 580633718?\nAnswer: 580633718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*g - 72162, -4*v - 2*g = -v - 30920. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = 0. Let q = -1189 + 1187. Sort q, g, 5 in decreasing order.\nAnswer: 5, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1538 divide 596691359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {y: 2, c: 6, n: 2, w: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 990*f**4 - 550*f**2 - 2*f?\nAnswer: 23760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -5*l**4\/4 + 460*l**3\/3 - 9425*l**2\/2 + 55770*l - 1666. Find k, given that o(k) = 0.\nAnswer: 13, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 - 4. Let y = u - -0.4. Let x = 4 + 1. What is the closest to y in -3\/7, -1, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1878 - -3?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 367.4385 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 83. What is the units digit of f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1660 - 3.02\nAnswer: 1656.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) - (3 + sqrt(363)*2).\nAnswer: -11*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52081 - 9391 = 30*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 8)*(239\/30 + -8)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 2*l - 10805*m - 4 = -10810*m, 2*m + 3 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/6394 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -4. Suppose -f*p = -2*p - 210. Let z = -835 - -841. What is the greatest common factor of p and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 4, c: 1, m: 3, k: 2, x: 1}. Give prob of picking 1 z, 1 c, and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*o + 104 = 4*w, 3*w - 2*o - 172 = 0. Let f = -2095\/6 + 7205\/21. Calculate the common denominator of (-2)\/(-6)*(-981)\/w and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhhhrrhhuhhhrrhr. Give prob of sequence rrr.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3402 + 2442 = -20*q. Solve -13*w = q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -468*v - 1. Let f(m) = 2*m - 3*m + 0*m + 1. Let i(k) = 3*f(k) - w(k). Is i(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwywhrarlwrywr. What is prob of sequence ywh?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eete when four letters picked without replacement from {l: 4, t: 7, e: 5}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -29*t**4 + 6*t**3 + 1 - 7*t**3 + 28*t**4. Let u(z) = -12*z**4 - z**3 - 11*z**2 + 1. Let y(o) = -c(o) + u(o). Find the third derivative of y(n) wrt n.\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) -23 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -196*f + 28. Let o be i(-3). Let k = o - 430. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 0*z**3 + 4*z**3)*(46846 - 93334 + 46854 - 7*z**2).\nAnswer: -14*z**5 + 732*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24*(-6063)\/(-11844))\/(((-6)\/(-7))\/3)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6988.411kg to micrograms.\nAnswer: 6988411000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69.9096 - -0.3\nAnswer: -69.6096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 - (-21 + -41) - (-19 - (-2 + 5))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose q = -k + 4 - 1. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)*c\/(c**7*c)*c**5*c\/(c**(-3\/4)*c)*(c*c**1)**23*(c*c**(1\/4))\/(c**(2\/27)\/c) assuming c is positive.\nAnswer: c**(6362\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 1 (c) -0.1 (d) 2 (e) 11273 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 3. Let w be (-1 - 3\/(-9))*v. Sort 4, -1, w in descending order.\nAnswer: 4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18661.4 - -18661. Let g = 5 - 8. Sort g, -0.27, h in decreasing order.\nAnswer: -0.27, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1457929711 rounded to four dps?\nAnswer: -0.1458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219249868, -438499736, -657749604, -876999472?\nAnswer: -1096249340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44, -114, -216, -350, -516?\n\"Answer: -16*b**2 - 22*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20286283 by -29.\nAnswer: 699527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*m**4 + m**3 + 92*m**4 + 9*m**3 - 9*m**3 - 164*m**2 wrt m.\nAnswer: 2976*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + 2. Let v(z) = -z - 10. Let h be v(-11). Let o = -2 - h. Give a(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 565, 227, -89, -371, -607, -785, -893?\n\"Answer: 2*d**3 - d**2 - 349*d + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36230630, 36230633, 36230638, 36230645?\n\"Answer: z**2 + 36230629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/(-10)*(-9 + 8)*5. Let j be (-86412)\/x*50\/9*3. What is j rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 20118563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(7\/3)*y**(-6\/11)*y**(-2\/5)\/y**(-8) assuming y is positive.\nAnswer: y**(1549\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 25 + 17. Suppose 9*a = m*a + 30. Suppose -f = -a - 85. List the prime factors of f.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 31?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20345*c + 20374*c = -58 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*s + 74 = -7*y + 87*s, -3*y - 5*s = 46. Sort -6, 1, -2, -4, y in increasing order.\nAnswer: y, -6, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362687215.\nAnswer: 5, 11, 53, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = n + 5, 4*b - 2 - 14 = 0. Suppose j - 2*j - n = 0, c + 5*j = -12. What is the third derivative of -3*x**4 - c*x**4 + 5*x**4 + 3*x**2 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 22 = -5*c, -4*t - 402*c = -399*c - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20612000 to the nearest 100000.\nAnswer: -20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x - 4 + 2 - 3*x + 3. What is the tens digit of p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 5*d**2 + 4*d)*((-4*d + 2 - 2)*(3 + 2 - 4) + 4138 + 249*d - 4138).\nAnswer: 1225*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 15*t - 23. Let v be a(13). Suppose 0 = -v*r - 3*x, -3*x = 2*r + 2*x. Solve 2*g + 10 = r, -5*b - 2*g = g + 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 14*y**2 - 2*y + 28. Let x be q(14). Suppose -28*n + 51 + 1517 = x. Suppose 7*g = 4*g + 57. Calculate the remainder when n is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (3 + 0 + 11 - 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + 1*sqrt(228))\/sqrt(12) + 1*sqrt(57)\/sqrt(3))**2 + (1*sqrt(209)*-1 - sqrt(209))\/(sqrt(11) + sqrt(1331)*2 + sqrt(11)))*2.\nAnswer: -sqrt(19)\/6 + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42 (b) -0.4 (c) 5 (d) 3\/4 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-16))\/((-4)\/7).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q - 45*q = -104 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 842.3882m?\nAnswer: 842388.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(8\/((-112)\/(-105))))\/((-2112)\/240)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111775 is divided by 1092?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (374\/(-2057))\/((-2)\/(-44))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -33*g - 12*g. Find l such that 9\/7*l**g - 2\/7*l - 9\/7*l**4 + l**5 + 0 - 5\/7*l**3 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (85\/15 - 5)\/(-3). Let i = -0.05 - 0.35. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 85*h - 5 = 88*h, 3*h = -4*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-43 + -3 - -77).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)\/k*k*k)**(-1\/28)*(k*k\/(k*k**(1\/3))*k*k)**40)\/(k**6\/k**(1\/10))**(-1\/8) assuming k is positive.\nAnswer: k**(45091\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/77*(-12)\/16?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytyyllvoyioyloyyolyy. Give prob of picking 3 l and 1 i.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 1424874*b + 199462760 = 0. Calculate b.\nAnswer: 140, 1424734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 142*(2\/(-8))\/((-3)\/24). Suppose -4*i - 2*m + 4*m + 284 = 0, 4*i + 5*m = t. Let z = 203 - i. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 316881070517 and 0.04?\nAnswer: 316881070516.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - (0 - -3 - (2 - -1)). What is the highest common divisor of 130 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-2))\/9)\/(8\/(-112)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -19251\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, j: 2}. What is prob of sequence bbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/557 and 59\/6734.\nAnswer: 3750838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.7 and 62?\nAnswer: -229.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 - 4*p**2)*(-21 + 25 - 18 - 25466*p + 42 - 28).\nAnswer: 76398*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m. Let l(z) = z - 76. What is h(l(t))?\nAnswer: -9*t + 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830869577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 43*f - 74. Calculate the remainder when r(4) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/120 and -37\/36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most 8\/471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -4)*0\/1. Let i(y) = y**2 - y. Let u be i(d). Suppose -3*t + u*t - 180000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 245921579 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.8 + -16. Which is the closest to -1? (a) -5 (b) f (c) -2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j - 10*j - 8*j)*(4 - 3 + 9) as q + r*j and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126957, 127274, 128147, 129858, 132689, 136922, 142839?\n\"Answer: 47*z**3 - 4*z**2 + 126914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3.821?\nAnswer: -3.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27262 + 44939. What are the prime factors of p?\nAnswer: 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1790*n - 1807906. Determine y(-1010).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(sqrt(18)\/((sqrt(110)\/sqrt(5))\/sqrt(11)))\/(sqrt(1728) - 2*sqrt(1728) - sqrt(1728)))**2.\nAnswer: -189\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 5, 3.\nAnswer: 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(7*m - 3*m + 3*m)*(m**2 - 3*m**2 + m**2).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 675551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816.2892 nanoseconds to milliseconds.\nAnswer: 0.0008162892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(sqrt(77)\/(sqrt(33)\/sqrt(3))*-4)**2 - 6*(sqrt(315)\/sqrt(9)*4)\/sqrt(5)).\nAnswer: -24*sqrt(7) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1467*g**2 + 23*g**3 + 1467*g**2 + (13*g**2 - 21*g**2 + 9*g**2)*(-2*g - g + 4*g).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1280985011 and 10.\nAnswer: 12809850110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3000 and 3000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Let v = -3.3 + 0.3. Let k = 0.599 + -0.099. Which is the nearest to -0.2? (a) v (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 675 - 678. What is the closest to 1\/5 in 6, 0.4, g, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 33 = -23. Let k be 48\/c*(-14)\/(-4). Let y = k - 3. Solve 2*n + n = y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 294609790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31594966 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - 2*i**3 - i**3)*(0 - 4 + 3 + (2 - 1 + 1)*(-3 + 4 + 0))*(2*i + 4*i - 7*i).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -630*f**3 + 642*f**3 - 4*f**2 + 19*f - 2*f**4 - 17*f + 2 to h + r*f**2 + x*f**3 + t*f**4 + w*f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 814334984 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -61 + -39 + (55 - -6)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 = 143*y - 1049 - 1827 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.114 - 0.205. Let h = o + 24.591. Let z = 25 - h. Which is the second smallest value? (a) z (b) -2\/17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53008 = 16*x + 53088 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-2) + 5\/10. Suppose 3*t - 2 = l. What is the nearest to 0 in t, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/212716 and 23\/22256.\nAnswer: 11061232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7893781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*z - 7*z. Suppose z + 35 = 2*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Suppose 0 = -l*r + 16 - 7. Let k = 1 + r. Solve -2*p - 5*z = 0, 2*p - 3*p = k*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 14*m + 12. Calculate u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.907399s in minutes?\nAnswer: 0.19845665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 14 - 445*j + 412*j + 22 - 3*j**2 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4\/7))\/(h*h**0) assuming h is positive.\nAnswer: h**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r. Let l be m(1). Let q = l + 14. Let o = q - 25. Solve -o*p + 20 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330802931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.029 - 2.871. Let p = 71 + -74.3. Let m = p - o. Which is the closest to m? (a) -0.5 (b) -2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/7*2\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:05 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 9*i**5\/10 - 11*i**3\/6 - 11*i. Find the second derivative of y(x) wrt x.\nAnswer: 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:51 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54207 by -18069.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.3574 * 2034.\nAnswer: -8862.9516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-167)\/(4509\/(-648)))\/492\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2\/13 (c) 5 (d) 0 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 177?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037335\/14*10\/33 - 128\/704 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859196078?\nAnswer: 2, 3, 3343, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -50. Find the second derivative of -19*u**a + 0*u**4 + 7*u - u**4 wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 + -148. Suppose g = 3*t - 91. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10741662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2030408.\nAnswer: -1\/1015204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 10. Let v be k(-5). Suppose -3*x - v = 4. Let i(h) = 4*h**2 - 5*h. Let z(b) = b**2 + 0*b**2 - 929*b + 928*b + 0*b**2. Determine x*i(y) + 15*z(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 1. Let x(m) = 6*m**3 - m**2 + 2*m + 4. Determine -4*l(j) + x(j).\nAnswer: 2*j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13109393, 13109401, 13109409, 13109417?\n\"Answer: 8*o + 13109385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = 8. Suppose 2*w + 0*w - 6 = 0. Sort -5, z, w.\nAnswer: -5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 69 = 24*g - 20*g, 4*r = 4*g + 96. Suppose 7*b - 2*b = 405. Calculate the smallest common multiple of r and b.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30138 is divided by 229?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by ((-51)\/(-12))\/(4\/16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2431 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 883 - 57. Let a = f - 826.0003485. What is a rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:27 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.32, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12518 + 2924 = 738*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/(z*z*z*z**(5\/3)*z*z))*z**(-16) assuming z is positive.\nAnswer: z**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*w - 482305 + 484568 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/(-2))\/(2\/60). Let b = v - 394. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 9*g**2 - 19*g + 7. Let i be 1470\/(-196)*(4\/(-5) - 0). Let z be k(i). Which is greater: -1\/229 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 108*l + 22491 = 77*l. Solve -d = 2*b + 11, -5*d = -150*b + l*b + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 480*x. Let d be 66\/(-55)*(-20)\/6. Let v(q) = -6*q**2 + d*q**2 + 2*q**2 - q**2. What is v(b(a))?\nAnswer: -230400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + r + 18 = 0, 2*r + 3 - 7 = -2*k. Suppose y = -2*b - 5, 9*y = k*y - 5*b - 5. Suppose y*p - 50 - 127 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100001102 - -11221?\nAnswer: -22212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -10301?\nAnswer: 10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from nhvrshrnhveh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 4*p**2 + p + 3. Let c be v(-4). Suppose r = -5 + 3. Is ((45 + c)\/4)\/(r - -3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 243*l - 230*l - 11349. Is 38 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*g + 3*g = 63, 0 = -4*g + 12. Let o be -2*(1 - x\/(-8)). Factor 3*d**o - 3\/4 + 3\/4*d**2 - 3*d.\nAnswer: 3*(d - 1)*(d + 1)*(4*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i - 1)*(-i + 4*i + 0*i + (-2 + 0 + 1)*(-1 + 2*i + 1) - 2*i - 4*i - 3*i + 2 - 2 + 3*i) - 2*i**2 - 4 + 4.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(6\/(-3)*-3). Let a = -1116205\/114 - -9791. Let v = o + a. Put -1, v, 2\/13, 2\/5 in increasing order.\nAnswer: -1, v, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 726 - 726. Solve -4*z = -3*q - 3 - b, 3*q - 21 = -4*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (105\/(-20))\/(1\/(-4)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*(-1180)\/(-177). What is the highest common divisor of x and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-440)\/66)\/(24\/198))\/(-11)*(-86)\/10\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*w*y - 3507724*p*w + 856023*p*y - 3*p - 21*w*y with respect to y.\nAnswer: 2*p*w + 856023*p - 21*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h - 3*h + 12*h to p*h + t and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 1. Let t(y) = 11*y + 3. Let u(f) = 3*l(f) + t(f). Calculate u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27b (base 14) in base 7?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*h**5 - 12*h**2?\nAnswer: 8280*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13539 is divided by 677.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 3*j**2 - 41*j + 10. Let g be b(7). Solve -2*t - g = -9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404567820.\nAnswer: 2, 3, 5, 1451, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-8)\/12*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1255*r - 33880. Give o(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021937909 rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 47979.56 nanoseconds?\nAnswer: 47.97956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/247*(-32)\/48.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.4. Put 0.4, v, -0.4 in descending order.\nAnswer: 0.4, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1352 - 1350.259. What is a rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3032, 3020, 3008, 2996?\nAnswer: 2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 4)*(183*y - 122*y + 280*y)*(4*y + 0*y - 2*y).\nAnswer: 4092*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 25 = q - 5*c, -3*c + 3 = 3*q. Let x be q\/18 - (-40)\/18. Find d such that x*d**4 - 4*d**4 - d**3 + d**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71652a (base 12) in base 14?\nAnswer: -342558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, 1 l, and 1 r when four letters picked without replacement from {w: 1, r: 1, l: 1, y: 1, s: 1, n: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -4 (b) -8.2 (c) 10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -453*i - 7767 - 4464 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*r**2 - 11*o*r + 2925*o - 10*r**3 wrt r?\nAnswer: 4*o*r - 11*o - 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1, 0.6, -3, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*h + 14 = 3*h, h + 43 = -5*r. Let i be 0 - 3\/(r\/6). Suppose -i*j + 7 = 2*j + p, 5*p = -3*j - 16. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3 - (1 + 3)) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9230 + -9228. Solve -225 = -n*h - 233 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*x - 9, -13*b - 1064 = x - 1131 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-32)\/6)*6\/(-9). Suppose 3 = -2*h + 5*v - 8, -2*h = -3*v + 9. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250444.05 + 250684.04859. Let z = p - 240. Round z to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 29. Let a be g(0). Let r = a + 49. What is the greatest common factor of r and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**2. Let m(g) be the second derivative of -g**3\/6 + 9*g. Give b(m(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 3*o - 78*o**2.\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 2. Let p(m) = 1. Let t(c) = -2*c**2 - 4*c + 1. Let v be t(-2). Let z(w) = v*k(w) + p(w). Let o = -7 + 11. What is z(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299 - -477. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 16. Give p(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from bzfxzzzzrizzzb.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1020 and 0.444.\nAnswer: -1019.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 240. Let x be 3\/1*(-110)\/k. Is -5 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216945 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 30 (b) -5\/2 (c) 17 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.69227 to 3 decimal places.\nAnswer: -1.692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 50*i**2 + 147*i - 341. What is the derivative of n(l) wrt l?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63.2836 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*z - 120, -6*z + 2*z - 3*b = -97. Suppose -134 = -r + 4*v, 0 = -r - 2*v + 147 - z. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/((-8)\/2)*1. Let o(a) be the second derivative of a**5\/20 + 5*a**4\/12 + 3*a**2\/2 + 11*a. Calculate o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63851 is divided by 15962.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37815287*d**2*v - 4591*d**2*x + 2*d*v - 2*d*x - 3*v*x + 239*x wrt x?\nAnswer: -4591*d**2 - 2*d - 3*v + 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 5*c + 43, -34 = 12562*m - 12565*m + 5*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1807 + -9033\/5. What is the biggest value in -9, o, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47474 is divided by 200.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0*r**6 + 0*r**2 - 1\/28*r**7 + 5*r + 0*r**4 + 0 - r**3 + 3\/8*r**5. Solve i(x) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/140 and -73\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*((sqrt(242) - (-5 + (sqrt(242)*-2 - sqrt(242))**2 - sqrt(242))) + -3 + -1 + sqrt(242) + sqrt(242))*6 + 0.\nAnswer: -13066 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 102 + 15. Suppose w + 15 = 3*w + f, -5*w + j = 4*f. Calculate the least common multiple of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292100048.\nAnswer: 2, 743, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**2 + 12*w - 5. Is 9 a factor of q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 261. Let u be t(0). Let j(s) = 44*s**2 - 20*s - 92. Let x be j(-4). Let q = u + x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*c = 133*c + 5*t + 41, 5*t + 48 = -4*c. Let a(l) = -l**2 - 7*l - 1. What is a(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -681655 rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9978l to millilitres.\nAnswer: 2997.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b**4 + 3*b)*(3 + 1 - 3) - 2*b**4 + b**3 - b**3 + 116230 - 116230 - 1137*b**4.\nAnswer: -1140*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6629.\nAnswer: 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20304, 168430, 570486, 1353438, 2644252, 4569894, 7257330, 10833526?\n\"Answer: 21161*r**3 - r**2 + 2*r - 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -68*w**5\/5 - w**2 + 2*w - 83. What is the second derivative of s(l) wrt l?\nAnswer: -816*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**5 - 3*n + 7*n + 28*n**5 wrt n.\nAnswer: 680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 8. Suppose -26 = -d + 5*k, 4*d + 10 = -k + 30. Suppose 2*l = d*l. List the prime factors of f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from {q: 2, b: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**2 + 23*r + 1. Let f be q(-3). Solve 3*l - f + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*l + 45, -s = -l + 4*s. Let r = l + -9. 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: What is the value of (-1)\/9*-6*(-30)\/(-25)*(-37 - 23)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -195. Let j be 11 - 4 - (78 + -2). Let n = c + j. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687498 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001101001 + 10101?\nAnswer: 11111001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3 + 526*k**2 + 2128*k + 2136 = 0?\nAnswer: -2, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/4, 3, -2, 0.074 in descending order.\nAnswer: 3, 11\/4, 0.074, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(252\/(-18)))\/((-10)\/((-30)\/(-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 - 22?\nAnswer: -21.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -334 and -78757.\nAnswer: 26304838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(216)*1*2)\/(sqrt(24)\/(-1*sqrt(2) - sqrt(2)) - sqrt(72)\/(-1*sqrt(6))).\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -44*z**3\/3 - 3704*z**2\/3 + 18908*z\/3 + 3560\/3 = 0.\nAnswer: -89, -2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5598 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322 and 32606.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h + 6*h**3 + 31*h - 15*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4372799 is divided by 374.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1 - 47*i + i**2 + 78*i - 37*i - 6*i**3 + 2*i**2. Let r(j) = -j. What is b(p) - 6*r(p)?\nAnswer: -6*p**3 + 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.095 - -0.195. Let n = 1.9 + -1.6. What is the smallest value in q, 4\/5, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5305054 + 23?\nAnswer: -5305031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130361184 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(7\/2))**(-25)\/(v**(-37)*v**(2\/35)) assuming v is positive.\nAnswer: v**(-3539\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(3 + -1) + 3. Suppose -2*w - w - 15 = 0. Sort w, -0.5, c.\nAnswer: w, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 11332101.52\nAnswer: 11332096.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 2\/45*m**5 + 23*m + 2\/27*m**6 + 0 + 4\/189*m**7 - 2\/9*m**2 - 8\/27*m**3 - 4\/27*m**4. Suppose y(t) = 0. Calculate t.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*c - 20, 0*b - 2*b = 0. Suppose -22 = -4*o + 2*o. Let t(y) = c*y - 4*y + o - 2*y. Give t(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 + 133. Let c be (-25)\/k*(0 + -2) + -2. Let v(r) = -9*r - 3 + 4 + 2*r - r. Give v(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6637, -13339, -20059, -26803, -33577, -40387, -47239?\nAnswer: -54139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 73, -7, -3\/7, 4\/3 in descending order.\nAnswer: 73, 4\/3, 0, -3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niqinqynqq. Give prob of picking 1 y and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 664\nAnswer: 9\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -218495 or -218494?\nAnswer: -218494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010000100010111101 + -11?\nAnswer: 110010000100010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/44 in -4, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 1 + 1 - 3*g + 3*g. List the prime factors of n(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015 - 6.08.\nAnswer: -6.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -0.4. Let m = -23 - -4. Let z = m - -18. Which is the third smallest value? (a) 1\/2 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = 10*b + 144 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 9*k + 10. Let o be h(-9). Let y be (-1)\/2 - (1219 - o). Let r = y - -1165. What is the common denominator of -35\/22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789555 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 81*i + 342. Let t be z(69). What is t rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1348 and 1074019?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 836\/(-16)*-6*(-4)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(0*c**2 - 2*c**2 + c**2) + (1 - 2 - 8)*(-c**2 + 0*c + 0*c) in the form y*c + w*c**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 1640*k**2 - 124100*k + 1734000.\nAnswer: -5*(k - 12)*(k + 170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (55 + -26 + -32)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4\/3 (c) -0.5 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1064 + 260. Suppose 0 = 4*w + 2*m + l, -5*w + m - 1673 = -m. Let r = -757 + w. What is r rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 11*l**3\/6 + 6*l**2 - 8*l. What is the first derivative of s(f) wrt f?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 52380\/100 + 8\/(-10). Let k = 781 - b. Suppose 4*a + 34 - k = 2*q, -4*a - 2*q + 224 = 0. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*c - 2*j = -299*c - 127, j = -3*c + 119. Suppose -4*u + 724 - 132 = 0. What is the greatest common divisor of u and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 9. Let l(u) = -u**3 + 36*u**2 - 34*u - 41. Let j be l(35). Calculate i(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 2*j**4 - 2*j**4 + (-j**3 + 0*j**3 - j**3)*(3*j + j - 3*j) - 9*j**4 + j - j.\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 508, 701, 1016, 1453, 2012, 2693, 3496?\n\"Answer: 61*k**2 + 10*k + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d**3 + 81*d**3 - 15*d**3.\nAnswer: 94*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*c + 89*c + 7422 = 67*c - 14322 for c.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1128.2 - -1128. Let y = 1 + -0.94. Let g = y + -0.06. Which is the biggest value? (a) w (b) -12 (c) 0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1379708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 7\/20*y**5 - 3\/8*y**4 + 42 + 4*y**2 - 8\/3*y**3 + 0*y - 1\/24*y**6. Suppose c(a) = 0. What is a?\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 12)*(-14)\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50821, 31657, 12493, -6671, -25835?\n\"Answer: -19164*p + 69985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 12. Let d(f) = 23 - 24*f - 27*f + 57*f - 17*f. Let r(g) = 13*b(g) + 6*d(g). Give r(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 3398124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 7:53 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 27*c**2 + 21*c + 32. Let t be n(-25). What is the third derivative of r**5 - 757*r**3 - 26*r**5 + t*r**3 + 33*r**2 wrt r?\nAnswer: -1500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*s**2 + 11 - 21 - 4*s**3 + 8 + s**3 - 4*s**2 + s to the form w*s**3 + c*s + f*s**2 + u and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.235048 + 311.804048. Let i = -311 + o. Let f = i + -49.769. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - w**2 - 2*w + 1. Let l be k(4). Let t = l + 5. What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 9:40 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 = 475356\/13499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -669, -668, -667?\n\"Answer: u - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809661139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6085 + 1.6085. Let y = -54 + 82. What is the biggest value in -0.3, w, y, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332756672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/7*-98*((-174)\/(-18) + -10)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 7 - 25. Let n(z) = -2*z - z**2 - 2*z**2 - z**3 - 2*z**2 - 4 + 2*z**3. What is the least common multiple of p and n(6)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 - 5*a**4\/12 + a**3\/6 + 5*a**2\/2 + a. Let k be y(-5). Find the second derivative of -2*z**5 + z - 3*z + k*z wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 421 = 13. Let s = 393 - a. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*v*z**2 + 14*m*v - 1021*m + 950*v + 36*z**2 with respect to v.\nAnswer: m*z**2 + 14*m + 950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 25 + 9541\/(-470)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Suppose x = g + 1, x = -0*x - g + 5. Put s, x, -5 in decreasing order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61141789*b**3*u**5 + 77995880*b**3*u**2 wrt u?\nAnswer: -3668507340*b**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55\/9 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.7 times -540?\nAnswer: 24138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 + k + 2*k**3 - 444*k**2 + 444*k**2 + 3 in the form h*k**3 + j + p*k**2 + a*k**4 + b*k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2781866 and 292828.\nAnswer: 5563732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759575 and 9583855.\nAnswer: 6605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 19}. What is prob of picking 3 h?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 382251399*0.5\nAnswer: 191125699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2951\/(-44) + 37452\/549296\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 28*d - 2*d + (-4*d + 2*d + d)*(3 + 2 - 4))*(-1 + 6 + 11).\nAnswer: 384*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -155d533 (base 14) in base 4?\nAnswer: -213312221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -105 - ((-4977)\/315 - (-99)\/(-45))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y + 10. Let p(g) = 216*g - 315. Let h(u) = 4*p(u) + 126*t(u). Let v(i) = -22*i. What is v(h(x))?\nAnswer: 396*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/7, 663\/317 in descending order.\nAnswer: 663\/317, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 8*b**2 + 48*b - 416. Calculate f(8).\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:41 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3054*f*z - 1701896*f + 2504*z**2 - 7 wrt z?\nAnswer: -3054*f + 5008*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 220 = -m. Suppose -43 = 4*s - 159. What is the remainder when m is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*l**2 - 2814*l**2 + 1473*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4483*m**3 + 4530*m**3 - 11434*m**3 + 4295*m**3.\nAnswer: 1874*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/2 - -2)*-1. Suppose s + 13 = -2*s + 4*w, s = 4*w - n. Suppose 2 = -x - 5*b + 25, 5*b = x + 27. Which is bigger: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 326*0.1317\nAnswer: 42.9342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 271*t - 1404. Let k = -72 - -225. What is the remainder when k is divided by n(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h**2 + 3*h - 2. Calculate the remainder when l(2) is divided by 73.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5346 + 5352. Solve -5*s = -2*p - 30, -33*p + 31*p - 4*s = -b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 135*w - 4695. Give s(-68).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 2*m**2 + 15 - 31 - 33.\nAnswer: -m**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(13) - (sqrt(156) + 1*sqrt(156) + sqrt(156) - sqrt(156))\/sqrt(12) - (sqrt(117)*-1 - 5*(-2*sqrt(13) - sqrt(13))))**2.\nAnswer: -110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2457 + 1225 = 7*v - 1148 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 1\/4, -0.08456, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(114\/(-18)*(-63)\/(-21))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o + 5. What is the remainder when z(-6) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttdttdttdtdtd. What is prob of picking 2 d and 2 t?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 9*z - 8. Let y be s(-10). Suppose -y*k = -104 + 6. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -0*v - 2*a - 8, -3*v + 12 = -3*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11823*q = -9013*q + 2562828 for q.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 608456.\nAnswer: -1\/304228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -580*u**2 + 2*u**3 - 232*u**2 - 101*u**2 + 3*u**4 - 62*u**2 in the form o*u**2 + z*u + v*u**4 + s*u**3 + d and give o.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(12\/11)\/w)*w\/w**(1\/51) assuming w is positive.\nAnswer: w**(1060\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 206830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191824944 to the power of 1\/3, to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/5 - 931713*q\/5 - 15843456 = 0. What is q?\nAnswer: -85, 310656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(-1)*(-5163)\/1721.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820778 is divided by 815?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l + 16 = 0. Let s be (l + 2)*3\/(-12). Which is the closest to s? (a) 0.1 (b) -1\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 102*j**2 + 877*j + 117. Calculate a(40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, p: 8}. What is prob of sequence pp?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-45) - ((-2)\/3 - (-25)\/15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 5, 4, -2, 4273659?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*s - 292 = -3*s, 0 = 3*s + 9. Suppose 5*d = -v - 260. Let q = -41 - d. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**3 - 2*u**2 - 5*u + 6. Suppose -5*z = 35 - 5. Let y(g) = 2*g + 7*g**3 - 6*g**3 + 7*g**3 - 7 + 2*g**2 + 4*g. What is z*y(s) - 7*p(s)?\nAnswer: s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/20735 and -129\/3362840?\nAnswer: 36991240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2) + (-7)\/((-49)\/(-9)). Let j = -0.25 + 0.31. What is the nearest to y in 3, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -14*f - 1199. Let j(z) = -5*z - 400. Determine -8*j(s) + 3*m(s).\nAnswer: -2*s - 397","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 622*j + 1728*j + 412*j - 129*j + 177*j to the form z + y*j and give y.\nAnswer: 2810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 261726*c**3 + 723*c**2 + 1446*c + 723. Let z(v) = 725*v**3 + 2*v**2 + 4*v + 2. Give 4*o(j) - 1446*z(j).\nAnswer: -1446*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405))*6 - (-5*(-2*sqrt(5) + 0))**2.\nAnswer: -488 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -264.8, -5, 147\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 36, 67, 108?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Suppose 0 = 5*a + m - 24, -5*a + 4*m - 1 + 5 = l. Let z(o) = 4*o - 4*o - 3 - o**2 - a*o. Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/10 + 176*p**2. Let j(k) be the first derivative of 5*k**2\/2 - 11. Give l(j(h)).\nAnswer: -150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/10 + -3)\/(300\/28500).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3) + 4 + -4.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/40 - (-786534)\/(-8540).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/15 - ((-6083)\/(-30))\/(-77) - (6 - 8). Factor -9\/2 - v*b**3 - 87\/2*b**2 - 55\/2*b.\nAnswer: -(b + 9)*(3*b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -93\nAnswer: -36\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**3 - 20221*k**2 - 40447*k + 1. What is i(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -6*s + 50, -5*u + 32*s - 31*s + 2 = -11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.96 - -0.16. Let o = 0.5 + h. Let m = -131 + 521\/4. Which is the second smallest value? (a) m (b) 1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 68320849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllldlldlllldllllld. What is prob of picking 4 d?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57089 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2123, -5378, -8623, -11852, -15059, -18238?\n\"Answer: x**3 - x**2 - 3259*x + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303140231 - -1011?\nAnswer: 303141242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27797 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, -72, -151?\n\"Answer: -79*s + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.92 - 10.92. Is x less than -0.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318839 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -116 + -64 + (32 - -116).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 - -283. What is the remainder when 50 is divided by (3 + 25\/w)*(-126)\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-246)*1984\/10912?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8200 and -83\/82?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-36))\/((-12)\/56*-7)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/6*(-4 - 465\/(-42)). Let s be (8\/(-4))\/(2\/10). Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-224))\/(2\/24)*20\/2460.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(12))**2 - (-3 + sqrt(6)\/sqrt(2)) - (sqrt(300) + sqrt(300) + -1)**2*-5) + -5.\nAnswer: -201*sqrt(3) + 6435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 11*b**4\/24 - 5*b**3\/6 - 17*b**2. Let y be l(10). Suppose 3*i - y - 51 = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -42, -93, -184, -327, -534, -817?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*s - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32552 + -55688. What is p rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -21 (b) -1.5 (c) 0 (d) -2 (e) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 10. Let h(c) = 2*c - 9. Let b be h(m). What is the common denominator of 55\/4 + b + -2 and 117\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60936 - -45336371\/744. Find the common denominator of 77\/6 and i.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287 - -454. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 3395231. Let i(d) = -7*d. Calculate o(i(y)).\nAnswer: 7*y - 3395231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 3 + ((sqrt(539) + -5)**2 + sqrt(539) - sqrt(539))*-5).\nAnswer: -1050*sqrt(11) + 8457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 80.3\nAnswer: 16.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 8*s + 6.\nAnswer: 2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 13*i**2 + 8*i - 55. Let o = -83 - -96. Let w be h(o). What is the greatest common factor of 49 and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, a: 1, k: 5, g: 2, u: 3}. What is prob of sequence zau?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = n - 5*h - 15, -30 = -3*n - 3*h. Calculate the remainder when 500 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80578666?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 221 - 31*d - 132 - 24 - 162.\nAnswer: -31*d - 575","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/15 - (-25)\/((-4000)\/10784)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34598 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(6\/11)*q*q**6)\/((q**(-7)*q)\/q**(1\/9)) assuming q is positive.\nAnswer: q**(1343\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y)**46 assuming y is positive.\nAnswer: y**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -48. Solve 2 = o, 5*k + 2*o = 13 - r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**2 + 1 + 7*p**2 + 4*p + 4*p**2. Let j be h(-4). Let q = -37 + j. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = -3*m - 25, -m - 5 = 0. Let f be (-3*p\/8)\/((-33)\/88). Factor 1\/6*b**4 - 1\/6*b**f + 1\/6*b**3 + 0*b + 0 - 1\/6*b**5.\nAnswer: -b**2*(b - 1)**2*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -342*k**3 - 15*k**2 - 835*k + 8. Let i(z) = 49*z**3 + 2*z**2 + 119*z - 1. Determine 15*i(h) + 2*x(h).\nAnswer: 51*h**3 + 115*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 5. Let s be 1*(-1)\/(-1)*0. Suppose -3*r + 0*r + 18 = s. Calculate the remainder when z(-6) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95587, -382414, -860487, -1529800, -2390347, -3442122?\nAnswer: -4685119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 + 10*f + 12. Let s be m(-9). Suppose -s*d = -1 - 11. Factor -4*y**2 + 18*y**3 - 18*y - 4*y**2 - 2*y**2 + 7*y**4 - d + 7*y**4.\nAnswer: 2*(y - 1)*(y + 1)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 542.284724 to two dps.\nAnswer: 542.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28369?\nAnswer: 11, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*r = -502, 509 = 3*q + 2*r - 0*r. Suppose 4*g + g - 5*d = 255, -3*g = 5*d - q. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y**(-2)\/y)*y))\/(y**10\/y))**49\/((y**2)**(-14))**(-25\/2) assuming y is positive.\nAnswer: y**(-1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -2.2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -543, -1130, -1921, -2910, -4091, -5458?\nAnswer: -7005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307942.\nAnswer: 2, 79, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312576 and 332519?\nAnswer: 255374592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (966\/210)\/((-299)\/(-78)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (-2 + (3 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9724 divided by 4.\nAnswer: -2431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a175 (base 13) to base 16.\nAnswer: 1a58e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4196.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5685 and 61998336?\nAnswer: 309991680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6081 + 16881. Suppose -4*w = -9*w - z. Let r = 3127 + w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -620 (base 13) to base 11\nAnswer: -866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 33. Let m be 650\/25 + -18 + (1 + -2)*7. Put m, 3, c in increasing order.\nAnswer: c, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 62 (b) -1\/7 (c) 0.22 (d) -94 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 3*d**5 + 8 - 3 - 4*d**5 + 4*d**5 - 2*d**5 + (0 - 4 + 2)*(-d**5 - 2*d**5 + d**5).\nAnswer: d**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 78 = 14*a. Let w(u) = 2*u**3 + 2*u**2 - 4*u + 1. Let z be w(-3). Let f = z + a. Calculate the highest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 114*z - 119*z - 631, -t + 361 = 4*z. Solve t = 2*k + 323 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*i**3 + 51*i**3 - 8*i**5 - 765*i - 20*i**5 + 765*i + (0*i**2 + 0*i**2 - i**2)*(3*i**2 + 5*i**3 - 3*i**2).\nAnswer: -33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 31 = 4*g. Let t(q) be the third derivative of q**5\/60 + q**4\/24 + q**3\/6 - 4*q**2. Let o(h) be the first derivative of t(h). Give o(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {n: 1, l: 1, e: 5, q: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1280) + (-3*(-1*sqrt(1280) + sqrt(1280) + sqrt(1280)) - sqrt(1280) - sqrt(1280)))\/(sqrt(40)\/(sqrt(10) + sqrt(40)\/sqrt(4)) + 1*sqrt(324)).\nAnswer: -64*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**3\/7 - 124407*r**2\/7 - 38279223*r\/7 - 2933732925\/7 = 0.\nAnswer: -153, 41775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840662 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + 0 - (-180)\/(-12). Let r = 56 + z. Which is greater: 51 or r?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1663000 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 192*p = 193*p + 205, -193 = -2*m + 5*p. Calculate the highest common divisor of m and 17992.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zzbvvqv.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -43 + (11 + -12 - (0 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -26*m - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -112606?\nAnswer: 112613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5780*j**4*z**2 + 3*j**3*o*z**2 + 974*j*o*z + j*o + z**2 wrt j?\nAnswer: -69360*j**2*z**2 + 18*j*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -43. Let k(f) = 4*f**3 - 4*f**2 + 3*f - 2. Let y be k(2). Suppose 6*l - y = l. Calculate the remainder when z is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41937?\nAnswer: 3, 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Suppose 0 = j*l - 3*l + 14. Let b = 32 + -12. What is the smallest common multiple of l and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 66459?\nAnswer: 465213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 21, 2*k - 4*d - 976 + 1012 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.256 plus -121518?\nAnswer: -121518.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvolhovohooogo. What is prob of picking 2 h and 1 v?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/12785 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14645 - v**3 - 29229 + 14598 + 0*v**3.\nAnswer: -v**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10*o = 32. Let t(r) be the third derivative of 1\/30*r**5 + 0*r**3 + o*r**2 + 0 + 0*r**4 + 0*r. Let v(p) = 7*p. Give v(t(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4*r - 31*h**2*r*w - h - 398*r*w - w + 2 wrt h.\nAnswer: -8*h**3*r - 62*h*r*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + a**3 + 2*a**4 - 2*a**3 - 90*a**2 - 5 + 87*a**2 + 3 to the form j*a + h*a**2 + x*a**3 + n + v*a**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36269*7\nAnswer: 253883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:43 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(605))**2 + -2.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2506 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/10332 and -129\/2870.\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-6 + 817017\/144942 + 6\/17).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 86*w**5 - 52*w**3\/3 - 3*w**2 - 1232*w - 1. Find the second derivative of s(f) wrt f.\nAnswer: 10320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 48 = 31*t - 2*w, 4*t - 18*w = 232 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + -2) - (219 + -209)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.253, 1, 22\/45?\nAnswer: -0.253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 20. Let j(n) = 5*n + 9. Let b(x) = 2 + x - 4 + 0 + 3. Calculate a*j(o) + 6*b(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21537, 24370, 32055, 47016, 71677?\nAnswer: 108462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 29, 20, 11, 2, -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.724462 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162586927*q**2 - 67215033*q - 1.\nAnswer: -325173854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 2*b**2 + 0*b**2 + ((1 - 2*b - 1)*(-24 + 29 + 66) + 0 + 0 - b)*(2*b - 5*b + 2*b) as c*b**2 + j*b + x and give c.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 43 = -51, p = -2*o - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005059 rounded to five dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*b = 4 + 2, b = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 3066*p - 4700178.\nAnswer: -(p - 3066)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(1\/14). Let n be -5*(-1 - l\/5). Is n\/4*9*-2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14760 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 9*p**7\/560 - p**6\/40 + p**5\/60 - p**4\/12 - p**2. Let n(i) be the second derivative of d(i). Factor n(b).\nAnswer: (9*b - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -1) + 22 + (-9 - 8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (56 - (-76 + 148))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + 2*r - 3*r + (4 - 4 + 2)*(r - 1 + 1) - r + 3 - 3 + 2*r - 1 + 1)*(0*r + r - 3*r - 1) to a + i*r + d*r**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*x - 2 + x - 4*x + x + (0*x - 2*x + 0*x)*(0 - 2 + 7) + (1 - 2 + 5)*(-2*x - 3 + 3).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 13 - 1 - 10 + 12241*k**2 + 9025*k**2.\nAnswer: 21266*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69898943186\/21 - 3329375273. Let t = u + 854421. Let a = t - 252. What is the biggest value in -2\/17, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/14)\/((-99)\/(4851\/14)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15631476*j**3*z**6 - j**3 + 2172*j*z**2 - 2*z**2 + 74*z wrt z?\nAnswer: -1875777120*j**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 7309*f**2 + 7316*f**2 - 21941*f**2 + 7316*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y - 3. Let i(x) = -7*x + 4. What is 5*i(k) + 6*q(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17678314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p)\/p**(1\/4)*((p\/(p\/(p\/((p\/(p\/(p\/p**1)))\/p))))\/p*p)**(-14)*(p*(p\/(p**3*p))\/p)\/p**(-3\/4)*(p**7\/p)\/p**(2\/3) assuming p is positive.\nAnswer: p**(-181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 + 199.9999984. What is f rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10111?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243512 is divided by 383?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-98)\/(-147))\/(1\/2736) is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0 (c) -3.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619876931?\nAnswer: 71, 8730661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1518 and 109\/1518.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 132300 (base 6) to base 7\nAnswer: 50403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.9 and 0.3132?\nAnswer: -1.53468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/4760 and -2\/35.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10*(-800)\/896)\/(6\/7).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 72 and -81.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - l**2 - 2*l**2 - 98 - 90.\nAnswer: 3*l**2 - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/57530 and 61\/20.\nAnswer: 115060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(sqrt(5) + sqrt(10)\/sqrt(2)))\/((-1*sqrt(24) - sqrt(24) - sqrt(24))\/sqrt(6)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*w - 4 + 5*w**4 + 3 + 30*w in the form x*w + r*w**3 + o*w**4 + g*w**2 + q and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -365, -550, -751, -974?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3047 + -3041. Solve -9*d - 6 = -r*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 + 365. Let o = z + -79. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345 a factor of 391530580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44610, -88904, -133198, -177492?\n\"Answer: -44294*x - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**6))*c)\/(c\/(c*c*c*c**14\/c)))**(-1)*((c\/(c*c**(-2)))\/c*c*c)**(19\/3)*(c**(-1\/2))**(-49) assuming c is positive.\nAnswer: c**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/6 - l**3 + 2*l**2 + 12*l. Let g(k) = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*l**4 - 40*l**3 + 35*l**5 + 30*l - 8*l**3 + 95*l**2 - 17*l**3 = 0 for l.\nAnswer: -1, -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3089*t**3 + 4891*t**2 - 92727584 wrt t.\nAnswer: 9267*t**2 + 9782*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8685\/540 - (-1)\/(-12). Suppose 0*r - 3*r + 3 = 0. Suppose 2*t - r = 3. What is the greatest common factor of l and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47013507 to the power of 1\/2, to the nearest integer?\nAnswer: 6857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1458) + sqrt(1458)*-2) + sqrt(1458))\/(-2*sqrt(225)*-1).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 33 = 3*l, 0 = -4*s + l + 87. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 122*y**3 + 60*y**2 + 5*y - 7. Let a(f) = -61*f**3 - 25*f**2 - 2*f + 3. Determine -7*a(v) - 3*h(v).\nAnswer: 61*v**3 - 5*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 143545330?\nAnswer: 143545326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*n**4 - 35*n**2 + 941532 - 165*n**3 + 165*n - 941532.\nAnswer: 5*n*(n - 1)*(n + 1)*(7*n - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 - k. Let d(y) = 2*y**4 - 9*y**3 - 5*y**2 + 9*y. Let o(z) = d(z) + 3*f(z). Factor o(n).\nAnswer: 2*n*(n - 3)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 13 = -u - 0*p, 0 = -5*u + 5*p + 45. Solve -23*g = -22*g - 3*y + u, -5*y = -4*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q - 19926 = 0. Let w = q + -59518\/9. Let c = w + -815\/36. Calculate the common denominator of 22 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86600802 - 36*d - 86600802.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a. Let p(w) = -893*w + 5. What is t(p(z))?\nAnswer: -2679*z + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 2*g - 6*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -6. Let x be -1*(-4)\/z*-4. Let v(t) = -t + 0*t**3 + 2*t**3 - 3*t + 3 - t**2. What is v(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in -0.5, -17.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-126)*427 - (-88)\/198\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + (-108)\/(-20). Let c = 0.5 + -1.5. What is the third smallest value in c, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1469 - 846. Suppose 5*l - f = 37. Let d = -85 + l. Calculate the remainder when d is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 6*b**2 + 7*b + 15. What is the hundreds digit of y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 5*z**2 + 6*z + 3. What is the tens digit of w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432 (base 6) to base 13\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204 - -169.6. Let r = j - -34. Which is the fourth smallest value? (a) 1\/2 (b) r (c) 3 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ckcccczzccccck.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:54 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 299989272, 599978540, 899967808?\n\"Answer: 299989268*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21622, 21641, 21696, 21805, 21986?\nAnswer: 22257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 1 - 3. Let u = 8 + 0. Is (m\/u)\/(1\/(-36)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/3 (c) -195 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100, 172, 244, 316?\n\"Answer: 72*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2*q + 1. Let t be k(-1). Let g(c) = -c**2 + 2. Let x be g(t). Let v be -2 + (x - 1 - 0). Let m(o) = 4*o**3 - o**2 - o. Determine m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 93.7, -1, -2\/3, -0.3 in descending order.\nAnswer: 101, 93.7, -0.3, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/12 - 3*r**2 - 15. Let i(h) be the second derivative of s(h). Let c(o) = -10*o. Calculate i(c(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1425 and 13350?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 486023\nAnswer: -25\/486023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 12. Let u(s) = -3*s - 36. Let j(w) = -8*q(w) - 3*u(w). Let r be j(-11). Let v = -15.3 + 15. What is the nearest to v in 0, -2, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-8)*(-5)\/(5\/(-44)). Let g be (-8)\/(-32) + 2 + t\/(-4). Solve 0 = d - 4*m + g, -4*m + 28 = 2*d - 0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007615091 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 39 - 13 = 0. Suppose -v = -f*v + 2016. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 - 121. Let l = t + -399. Let r = l - -4648\/23. Put -2, r, 0 in decreasing order.\nAnswer: r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -53. Let q(a) = -2*a**2 + 5*a**2 - 4*a**2 - 3*a + 22 + b*a. Calculate the smallest common multiple of q(6) and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50877199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -295\/141 or -1?\nAnswer: -295\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1581\/8 in -15, -1\/2, -4, 5, -0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6\/(-6*1\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 8:23 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 0.33?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30957?\nAnswer: 3, 17, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.6 - 48.6. Are f and -37.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Let o be (0 + -1)*-1*g. Suppose o = q + 3*q - 32. Calculate the highest common factor of 56 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3278, 6577, 9886, 13199, 16510, 19813, 23102?\n\"Answer: -w**3 + 11*w**2 + 3273*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24672\/(-2313)*(-3)\/2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8834 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8363691\/96811240 + -38\/65413. Calculate the common denominator of -17\/740 and o.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -11*s**4\/6 - 3*s**2\/2 + 25*s. Let q(c) = 396*c**2 + 55. Let z(h) = 3*q(h) + 55*u(h). Let r(l) = l**2. Give z(r(i)).\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 268191 divided by -1161?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 132*p = -178. Which is the closest to p? (a) -55 (b) 1\/5 (c) 2\/13 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (6 + -11 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from iintnzhj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-12 + 20 + -4 - 9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2440004 + -1?\nAnswer: 2440003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112037349.\nAnswer: 3, 37345783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f - 7. Let u be z(6). Suppose 0 = -u*n - 3*c - 146 + 31, 3*c + 37 = -2*n. Let w = n - -46. Calculate the remainder when 59 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0 + 1\/24*c**3 - 1\/240*c**5 + 0*c + 1\/96*c**4 - 3*c**2 - 1\/480*c**6. Solve s(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (17 - 30) + (54 - 4)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 971, 1439, 1897, 2345, 2783?\nAnswer: 3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 7*o**2 + 8*o - 15. Calculate t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28\/3*c - 1\/6*c**2 - 392\/3 = 0. What is c?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n - 1. Let q be j(4). Let z = q - -68. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 8*c - 10. Suppose 0 = p - 4*q + 18, 0*q = 3*p + c*q - 2. Let m be (-8 - p)*(-3 - -4). Let k(s) = s**2 + 6*s. Give k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 7*o**5\/4 + o**4\/3 + o**3\/3 - o**2\/2 + 415*o. Give v(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -9064703.\nAnswer: -1\/9064703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*i**5 + 14979604*a*i**4 + 2*a*i**2 - a*i - a + 5720*i**2 + 12 wrt i?\nAnswer: -120*a*i**2 + 359510496*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.8 to 0 decimal places.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -4)*4\/252*(3 + -5). Which is the closest to 1\/39? (a) 0.4 (b) 3 (c) 0 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -884 take away -31?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:36 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 681 + -291. What are the prime factors of b?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 23*i + 4*i**2 + 0*i**2 - 94.\nAnswer: 2*i**2 - 23*i - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6889, -13780, -20671?\nAnswer: -27562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -412 + 11*p**2 + 213 + 6*p**4 - 12*p**2 - 112*p**3 + 201 as d*p**4 + l*p**2 + c + t*p + v*p**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23123 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 + 249*s + 47. Does 12 divide q(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 867, -1, -1203 in increasing order.\nAnswer: -1203, -1, 867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(51)\/sqrt(3))**2 + (sqrt(1700) + 0)**2 - (-1 + (sqrt(68) - sqrt(17)) + 5).\nAnswer: -sqrt(17) + 1747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117255, -117256, -117257, -117258, -117259, -117260?\n\"Answer: -p - 117254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n + 6. Let w be k(7). Suppose 0*p + 5 = -p, 5*p + w = b. Solve t - 20 = -5*l, -3*t = l - b*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484802173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + -88. Let x be (-16)\/(-6) - (-10)\/(-15). Let q be x\/(-4)*-2*5. Solve -5*u + q*m = 45, -3*u - t = -3*m - 2*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h + 3*m + m, 0 = -4*m + 4. Let a(c) = -11*c + 4. Let n be a(h). Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16436004 divided by -1?\nAnswer: -16436004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -38, -9, 2 in decreasing order.\nAnswer: 4, 2, -9, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 28 = 0. Let q = -26 + n. Let w be q + 1 + (-1 - -1). Solve -1 = -4*m + w*o, -3 + 6 = 3*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let z = -0.06 - 0.04. Let t = z + 3.1. What is the third biggest value in n, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (66\/(-12) - -4)*(-280)\/6. Let b = d + -64. Calculate the common denominator of (2*b\/96)\/(2\/(-20)) and 79\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11376813 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547376 = -6471*d - 99780 + 135947 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-125) - 24\/10. Let z be ((-80)\/30)\/(r\/3). Sort z, 5, 6 in decreasing order.\nAnswer: 6, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 9*h + 15. Let f be 4 + 3 + -8 + 2. Suppose h = 2*t - f. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 5*f**2 + f**2 + (-3*f**2 + f**2 + 4*f**2)*(-19 + 9 + 6) to a + u*f**2 + l*f and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 172*h**2 - 246 - 4364*h + 4364*h.\nAnswer: -172*h**2 - 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 792 = -8*w. Let d = -38 + w. Calculate the highest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284.03 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-40)*((d*d**(-29))\/d)\/d assuming d is positive.\nAnswer: d**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4356394 or -4356398?\nAnswer: -4356398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 8. Let d be c(-8). Suppose d*v + v + 12 = 0. Let p(i) = i + 16. Let g be p(v). Solve 2*j - 24 = 2*z - 6*z, -j = -g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 78.00226 years?\nAnswer: 0.07800226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - 4*b + 9 = 0, 2*b - 15 = -5*p. Let y(f) = -3*f**p + 6*f**3 - 6*f**2 - 2*f**3 + 6 - 8*f. Suppose 862*c - 7 = 861*c. Give y(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -4\/9, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 + 181262*j + 5074944 = 0.\nAnswer: -362496, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15800.25 millilitres in litres?\nAnswer: 15.80025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.444 - -0.024. What is k rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -4 (b) 20 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 1\/11, -0.5, 0, -1.8, -2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/1650 and -4\/216975.\nAnswer: 433950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2137, 4233, 6293, 8323, 10329, 12317, 14293, 16263?\n\"Answer: x**3 - 24*x**2 + 2161*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102 - 41 + 28)*(2 + 4 - 4)*(-7*a + a + 2*a) in the form z*a + f and give z.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - m = 46, -5*m + 10 = -5*o + 4*o. Is (-3 + 1)*((-9249)\/6 - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvccvvc. What is prob of sequence cvvv?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3431, -3455, -3479?\n\"Answer: -24*z - 3407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5985 - -6005. Solve -32*g - r = -27*g, 3*x - 3*g = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 87*r**2. Let x(k) = -5*k**2. Let u(o) = v(o) + 18*x(o). Let f(p) = 2*p - 8. What is f(u(y))?\nAnswer: -6*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 11*z - 58. Let c be l(-4). Solve -c*x = 3*i, -8*x = -9*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/(3*(-1)\/12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-20) + 99\/(-110). Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559669.\nAnswer: 1559669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 - 126. Factor -x**b - 5\/3*x**3 + 0 + 0*x - 1\/3*x**2 + 3*x**5.\nAnswer: x**2*(x - 1)*(3*x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 4. Factor 6 + 2*s**g + 2*s - 2 - 4.\nAnswer: 2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8336, 16668, 25002, 33338, 41676, 50016?\n\"Answer: q**2 + 8329*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + -7. What is the common denominator of -5\/3 and -2 + -4 + (-635)\/y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-9))\/(1\/(-3)). Let a be (12\/(-2))\/((-3)\/c). Let k = a - -91. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1449*b**3 + 1465*b**3 - 2714*b**3.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7 - 5. Let n = 213 + -210. Suppose -a = n*r - 6, 0*r + r = 4*a + 2. Solve 4*k + 17 - f = a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y + 17*y**3 - 21*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:43 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**3 + 2272*f**2 - 77004*f + 210672 = 0.\nAnswer: 3, 33, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**3 + 3*v**3 + 1314*v - 2*v**2 - 1513*v - 55*v**4 wrt v?\nAnswer: -660*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1534, -2958, -4382, -5806?\n\"Answer: -1424*l - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(175) + 5 - (-1*sqrt(63) + sqrt(7))**2) + (sqrt(245)\/sqrt(7)*5 + sqrt(35) - sqrt(35))\/sqrt(5) + 2.\nAnswer: -16 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 33*h**4 + 4*h**2 + 7*h + 302. Let u(g) = -30*g**4 - 5*g**2 - 6*g - 301. Let q(c) = -5*i(c) - 4*u(c). What is the derivative of q(a) wrt a?\nAnswer: -180*a**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/4 - (2241\/(-108) + 22))*-34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/12 + 5\/4. What is the third smallest value in -18\/7, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d**(-2\/5)*d))\/((d**(2\/25)\/d)\/(d\/d**(-4\/7)*d)) assuming d is positive.\nAnswer: d**(331\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3638*b + 9 - 135 = -3620*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-15360)*-136 - ((-10)\/(-12) + 11\/(-22))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 9:18 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = p + p - 16, -i - 3*p = -10. Calculate the remainder when -1*24\/((-12)\/3) is divided by (-3)\/i*8\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 11*y = -18 + 18. Factor 2\/19*j**3 + 0 + y*j**2 - 8\/19*j.\nAnswer: 2*j*(j - 2)*(j + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 547072479 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 49 + 53 + l - 27 - 120.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47753 and 320484.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -81, -101, -121?\n\"Answer: -20*r - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 215 (b) -5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 3*b**3 + 3*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -374\/125 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 2\/79, -1, -9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 11*d + 41. Let f be t(8). What is the greatest common divisor of 39 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = -33 - 48. Factor -8\/5 - 122\/5*o**2 + 84\/5*o**q - 18\/5*o**4 + 56\/5*o.\nAnswer: -2*(o - 2)**2*(3*o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3025 + 3023.373. Let o = s + 0.299. What is o rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6440*i - 28 + 2142*i + 56*i**2 + 2150*i + 2148*i.\nAnswer: 56*i**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 18. Let m = z + -22.9. Let x = 70 + -139\/2. Which is the nearest to -1? (a) m (b) x (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41509 is divided by 178?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1)\/11*(-2412)\/(-36)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 31 + 8. Does 10 divide m - ((-2)\/(-2) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1284228 and 101\/17296.\nAnswer: 5136912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 + -136.7. Round b to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h + 5*h)*(1 + 26 - 2) + (2*h - 7*h + 3*h)*(-5 + 1 - 8) to d*h + k and give d.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m + 18. Let u be p(0). Let v be (-24)\/u*(-6)\/4. Suppose k - 16 = 4*f, 4*k - v*f - 30 + 8 = 0. Solve t = -3*w - k, -2*w + 6 = 4*t - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/7 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/78*(-42)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 821*c**2*t**2 + 15*c**2*t + 24*c**2 wrt t.\nAnswer: 1642*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -4\/52337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/240 - b**5\/24 + b**4\/16 + 3*b**3\/4 + 42*b**2. Factor a(i).\nAnswer: (i - 3)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = -1. Suppose 5*q - 5 = 0, -t - k*q = -5 - 2. Suppose 0 = -t*s - 3*u - 2*u + 54, -2*s = -5*u - 12. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -16*p**4\/3 - 10277*p**3 + 1445591*p**2\/3 - 5596567*p + 1043717\/3 = 0.\nAnswer: -1973, 1\/16, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44176409 divided by -151\nAnswer: -292559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 85?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let c = 103 - 87. Solve 3*l + c = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-336)\/(-60))\/((-18)\/39557). Let k = 12308 + c. Find the common denominator of k and -3\/55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*w + 28 = 0, -4*m = 11*w - 13*w + 2. What is the highest common factor of m and 900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28146 is divided by 1402.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 3, j: 6, u: 4, x: 1, r: 2}. Give prob of picking 1 g and 1 r.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 2:29 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let b(w) = -2*w + 54. Let r be b(25). Let m(q) be the third derivative of 0*q + 0 + q**2 - 1\/60*q**5 + 0*q**3 + 0*q**r. Give m(z(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i**2 - 4*i + 8. Let d be s(-6). Let c be 2\/(-3 - 1844\/d). Is 2\/6 - c\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -658488 divided by -164622\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 32296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t - 32. Calculate the remainder when (-10)\/14 - -1 - (-9483)\/203 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 257*h - 18735 + 5885 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**3 - 13*h**3 - 15*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-115)\/25 + (-2)\/5. Let n = 0.72 + -0.22. Sort 1, a, n.\nAnswer: a, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*-4 - -4. Let y be 5988\/3992*8\/3. Solve -6 = 5*g - 3*x, y*g - 2*g - 3*x + p = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/11 and 82\/8799.\nAnswer: 96789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-6)*4275\/3800*32\/(-6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 24*n**2 + 39*n - 91. Is j(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15124 is divided by 632.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + 13. What is the third derivative of 3*a**w - 6*a**5 - 6*a**5 - a**2 + 4*a**5 wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50636120 to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6552*a + 7400.\nAnswer: 6552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39 and 62661.\nAnswer: -2443779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -15*n**2\/2 - n + 8. Suppose g = -5*u - 21, -3*u = -g - g + 10. Calculate q(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5\/3 - 52*k**4\/3 - 160*k**3\/3 - 48*k**2.\nAnswer: -4*k**2*(k + 2)**2*(k + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -5. Let h = 0 + y. Let v = -1 - -1.2. Which is the nearest to 0? (a) h (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 7*b + 16. Let r be (0 + b - -418)\/(-1 - -3). Suppose -10*x = -r - 3879. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6*d**2 - 6*d - 10. Let k be c(7). Let z be (k\/45)\/((-1)\/(-3)). What is the second biggest value in z, -2\/5, 0.04?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0703556 rounded to three dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 smaller than 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 194925, 194926, 194927, 194928, 194929, 194930?\n\"Answer: p + 194924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1555 - 1545. Let i(l) = -3 + 4 + 0 + 3*l**2 + 14*l. Let j be i(b). Calculate the highest common divisor of 63 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 15*f**2 + 4*f + 68. What is o(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7536 - 15073 + 1502*j + 7536 - 4908*j)*(2*j**3 - 5*j**3 + 4*j**3).\nAnswer: -3406*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202112012121 + -12?\nAnswer: 1202112012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 20. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1164*q**5 + 1482*q**2 wrt q.\nAnswer: 69840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/2*(0 + -10). Let z = -1 + q. Is ((-282)\/z)\/(1\/(-68)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 - 13*a - 2. Determine v(-7).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6*a + 3735 = 0. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 13*g + 16. Let m be c(-12). What is the second derivative of 0*x + m*x - x**2 + 5*x**2 wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -200065 and -63.\nAnswer: -200128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63327044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 786*h\/7 + 788\/7.\nAnswer: -2*(h - 394)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 66*m + 689. Determine l(-97).\nAnswer: -2318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176 - 10. List the prime factors of g.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 2*s - 2*s + (3 - 3 + 5*s**2)*(0*s + 2*s**2 + 0*s) + 0*s**2 + 0*s**2 - 2*s**4 + (-3*s**4 - 4*s**4 + 3*s**4)*(-1 + 4 - 1).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-6))\/((-10)\/(-20)). Solve 4*i**2 + 4*i - 5*i**x - 4*i**4 + 0*i**4 + 18*i**4 - 19*i**3 + 2*i**5 = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*r = 3, v + 3*r = 5*r + 9. Let z = 39 + -36. Solve v*j - z = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1000544041\/37 - -27044506. Let d be 222\/9*675\/(-6). Let o = d + n. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k - 38*k - 62 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*s + 2, -3*s - l + 12 = s. Suppose -5*m - t + s*t + 100 = 0, -5*m + 115 = -4*t. Solve v = 4*d + 19, v + 5 = 3*d + m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 500 = 31*t. Suppose 2*s + 0*w - 10 = 3*w, 0 = 5*w + 10. Suppose -250 = -5*b + s*h - 0*h, -h = -5*b + t. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-1\/18))**(2\/83)*(q\/(q**0\/q))**3*(q**(1\/4))**(-1\/26) assuming q is positive.\nAnswer: q**(623\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.89 times 156?\nAnswer: 918.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121 + -12?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228540, -228538, -228536?\nAnswer: -228534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2051 - 2032.476. What is h rounded to 1 dp?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -3\/70*o**7 + 1\/100*o**5 - 1\/60*o**4 + 0*o**3 + 0 + 3*o + 3\/50*o**6 + 0*o**2. Solve l(q) = 0 for q.\nAnswer: -1\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let w(p) be the second derivative of 61*p - 1\/12*p**4 + p**2 + 1 + 1\/3*p**3. Determine w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48214 is divided by 23025?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 781562*t**4 - 395057*t wrt t.\nAnswer: 9378744*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36))\/(-4 + (-44)\/(-12)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-4 - (2 + (sqrt(2)*-1 - sqrt(2)) - sqrt(2)).\nAnswer: -25*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62872438*q**2 + 44*q + 211223 wrt q.\nAnswer: 125744876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let h = -65.1 - -65. Which is the nearest to h? (a) p (b) 0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -4*r**4\/3 - r**3 - 4*r**2 + 30*r + 1. Let m(q) = -q**2 + 2*q. Let i(x) = -a(x) + 10*m(x). Determine t, given that i(t) = 0.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 99, 1, -13 in decreasing order.\nAnswer: 99, 2, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:47 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.732 - -2.032. Which is the biggest value? (a) -0.5 (b) -173 (c) t (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 47 = -3*u, 4*x - 2*u = -0*u - 138. Let k be x\/(-17) - (0 + 2). Let l = -2511\/5 - -5027\/10. What is the nearest to l in 1\/2, k, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462168.6 millilitres in litres?\nAnswer: 462.1686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*b - 201 - 44, -4*o + 201 = 5*b. Let r(a) = 44 + 2*a + 0*a - o. Let f(j) = 2*j**2. Determine f(r(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/6, 3\/4, 2\/9, 3399, -5 in ascending order.\nAnswer: -5, -1\/6, 2\/9, 3\/4, 3, 3399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 7*t**2 + 2. Let d be g(-7). Let l(h) = -h**3 - 2*h**2 + 3*h - 2. Let b be l(-3). Is b + 151\/d*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 29 = -70. Let q be (-2)\/(t\/39 + -1). What is the units digit of q\/(-2)*(-1 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9280553.5 rounded to the nearest 100000?\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136906 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: Suppose -5 = -j + 1. Let q = 9 - j. Suppose -2*l + 15 = 3*l. Solve q*r - 1 = 5*c - l*c, 1 = -c + 2*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (10 + -10 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5838?\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 316646906 to the power of 1\/2, to the nearest integer?\nAnswer: 17795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 321\/56 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h**3 + 9*h**2 + 1162*h - 9331. Calculate x(8).\nAnswer: -3555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 572*a - 21. Let r be w(25). Find the second derivative of 14279*o**3 + 2 + 3*o**2 - 3*o - r*o**3 + 7*o**4 wrt o.\nAnswer: 84*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 11:16 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 321*155.6\nAnswer: 49947.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4, d - 41 = 4*g - 55. What is the nearest to 3 in -2\/7, -5, -2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 61\/488 - (-23)\/8. Suppose -8*i = 2*z - j*i - 21, 0 = -3*z - 5*i + 29. Solve -8 + z = -12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -846 - -850. Find g, given that 0 + 4\/3*g + 0*g**3 + 2\/3*g**r - 2*g**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001441918682 to 5 dps.\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -37401)\/((-13)\/(27300\/(-63))). Round d to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2932, 20.8, -6?\nAnswer: 2932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -131303320031 (base 4) to base 14\nAnswer: -1075ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 8*l - 25. Is h(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(0 + 2 - 2*f + 0*f).\nAnswer: -8*f + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*j - 17325 = 428*j + 475*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 548421 or -0.051?\nAnswer: 548421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(32\/3 - 2). Let b = q + 38. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/273*1\/(-75))\/(20\/(-25))?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 237 + (29 - 188) - 25\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1455213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.96846 - 0?\nAnswer: -28.96846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891793444 a multiple of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0 + 0*v**3 + 0*v**2 - 1\/15*v**6 - 2*v + 0*v**5 + 1\/3*v**4. Find the third derivative of r(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*j - j + 39, 3*j + 37 = 4*d. Let r be j - -7 - -3*2. Find the third derivative of -r + 30*i**3 + 2 + 3*i**2 + 4*i**2 wrt i.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let n = -1323 + 1346. Suppose h = 2*w - 85 + n. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -21*f**3 - 3*f**2 - 3*f + 5. Let z(n) = 64*n**3 + 10*n**2 + 10*n - 16. Let l(d) = -10*c(d) - 3*z(d). Differentiate l(x) wrt x.\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 12273?\nAnswer: 36819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 3*z**2 - 2. Let q(u) = 5*u**3 - 7*u**2 - 4. Calculate 6*q(j) - 13*x(j).\nAnswer: 4*j**3 - 3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(2))\/sqrt(10))**2 + (sqrt(5) + 0 + 0 - sqrt(5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -173. What is the remainder when 49 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 5*l + 25683 - 25653, 0 = -4*n + 3*l - 32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.1. Let h be (-19)\/((-2)\/(-4) + (-649)\/550). Let t = -28 + h. Which is bigger: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1996 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1914 - 1909. Put m, -24, -4 in decreasing order.\nAnswer: m, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 24*l - 167. Let o be v(-30). Solve -4 = 4*w + o*d - 17*d, 2*w - 3*d = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(p - p - p) + 1 - 1 - p + 637 - 316 - 74*p - 323.\nAnswer: -73*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11446 - 503735\/44. Let y = o + 25\/11. Let q = 1.1 + -1.164. Which is the third smallest value? (a) 2\/3 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47a5a3 (base 13) to base 2.\nAnswer: -110100001000000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2490797888?\nAnswer: 2, 41, 179, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 + 131*y - 3. Let s(a) = -6*a**2 - 8*a + 5. Let f be s(-2). Let z(h) = -2*h + 1. Let p(d) = f*z(d) - j(d). Let p(q) = 0. What is q?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 1:02 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72913 plus 4?\nAnswer: 72917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*m = 25957, 19*b - 22*b - 4*m = -25997. Let i = b - 6156. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikpsk. What is prob of picking 1 p and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -46*b + 20*b. Suppose 7*r - b*r - 282 = 0. What are the prime factors of r?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641529313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 391 + -7?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-10)\/(-25))\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -857*i**2 + 1713*i**2 + 8*i + 58*i + 13*i - 858*i**2 to the form v + g*i**2 + y*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 56*m + 57*m - 4516 = 0, -9044 = -4*x + m. What are the prime factors of x?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26813812831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 9*p**2 + 3. Let a be g(-9). Sort a, -1, 5 in ascending order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 140.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -157, -187, -239, -313, -409, -527, -667?\n\"Answer: -11*z**2 + 3*z - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-7 - -3) + -3 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.29448g in nanograms?\nAnswer: 4294480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/41 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 2*j + j**4 - j**2 - 3*j**4 + (-11704*j - 2898*j + 7241*j)*(2*j**3 + 4*j**2 - 4*j**2).\nAnswer: -14724*j**4 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/3)\/(2\/(-3)). Suppose -2*k - k = -3*u - 3, -3*k + 2*u + w = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0*o**3 - 6*o**2 + 0*o**5 - 1\/40*o**6 + 1\/24*o**4 + 0*o + 0. Give j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((27489\/34)\/(-49)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + 22 + -3 + (-539 - -548).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 29. Let b be r(-8). Suppose 0 = b*q - 10 - 50. Calculate the smallest common multiple of 8 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 + 131. Let t be (4*q\/30)\/((-24)\/60). Which is the nearest to -1? (a) 5 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 48. Which is the nearest to r? (a) -2 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3432 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*w - 224*w + 73*w + 75*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 75. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/5095075?\nAnswer: -13\/5095075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + 22*g**2 - 6*g + 7. Let n be r(5). Suppose 592 = 44*u + n. Let s(d) = 9*d + 13 + 0*d - d**2 + 0*d. Give s(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - -1.13. Let s = -0.1 + r. Let n = 16 + -14. Put n, 1\/5, s in ascending order.\nAnswer: 1\/5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 8*p**2 + 44*p + 353. Determine m(-6).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48941*f**4 - 22929*f wrt f.\nAnswer: -587292*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(-3 + 1*sqrt(98) + 1*sqrt(98)*4 + sqrt(98)*-1*-5 + sqrt(98) + 5 + -2))**2.\nAnswer: -2772*sqrt(2) + 426897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 367*x**2 + 1482*x + 734. What is k(371)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -6 - -6 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - c**2 - 3*c - 2. Let s(m) be the first derivative of -m**4\/4 - m**3\/3 + m**2\/2 + 263. Give -3*s(j) - x(j).\nAnswer: j**3 + 4*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10477.8362+-2.8\nAnswer: -10480.6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + k**3 + 14*k - 5*k**2)*(32*k + 128 - 128).\nAnswer: 32*k**4 + 448*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 25 = 8*h. Suppose h*c = -5*x + 250, x = -x + 8. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -222, -291, -408, -585, -834, -1167?\nAnswer: -1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5\/2 + 45*f**4 - 198*f**3 + 204*f**2 = 0 for f.\nAnswer: -34, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 381197429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-6)*6\/2. Solve 3*v - 2*x - 13 = -6*x, 6 = v + i*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - j)*(-1 + 1 + 1) + (-4 + 0 + 3)*(5*j - 2*j - 2*j) - 4*j + 0*j + 6*j + j + j - 8*j + (3 + j - 3)*(5 - 1 - 1).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1624 - 993. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 18 = 3*r - l, -2*l = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6294 a factor of 1674191412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 32*q**2 + 10 - 9 - 4 in the form x*q + f*q**2 + j and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -222 (b) -0.5 (c) -4 (d) 0.5 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -14*(-1 + 15\/(-10))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-196)\/(-12) - (-1)\/(-3). Let u be (4\/d + -1)*-4. Suppose u*x + 3*x = 102. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c + 211 = 279. Calculate the greatest common divisor of c and 262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 586 + 1134. Let y = x + -212. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 14717?\nAnswer: -14731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 59*c + 1125. Let j be b(15). Solve 2*g + j - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -948 (base 13) to base 16.\nAnswer: -62d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008030841 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/30 - n**5\/15 + n**4\/12 + 63*n**2 + 2*n. Calculate g(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 11 + 2*a - 1 + 2*a. Let i be q(6). Let l = i + 291. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -3\/8 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/12 - j**3\/2 + j**2. Suppose -x - x - 14 = 0. Let a be k(x). Calculate the greatest common factor of 55 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (345\/(-11500))\/((-99)\/44).\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90349 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/177 and 61\/54988.\nAnswer: 164964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)\/((b\/(b\/(b**(1\/5)\/b*b)))\/b))\/((b*b**(-1\/2)*b)\/(b\/b**(-5))) assuming b is positive.\nAnswer: b**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2740, -2775, -2854, -2995, -3216?\n\"Answer: -3*y**3 - 4*y**2 - 2*y - 2731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s, 0 = k - 5*s - 7 - 4. What is the remainder when 19 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - f + f**4 + 0*f - 2 - f**3 + 5*f to g*f**2 + b*f**4 + p*f + n + w*f**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13711 + 13716. Let b(f) = -20*f**3 + f**2 - f + 5. Let u(a) = 7*a**3 - 2. Let z(w) = 6*b(w) + 17*u(w). Calculate z(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1064)\/3)\/((-28)\/(-126)). Let t be -7*(1 - s) + 1. Let p = -19878 - t. What is p rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36829107563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 - 84*x**4 + 164*x**3 + 1476*x**2 - 4192*x + 2640 = 0.\nAnswer: -22, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - 5*f + 3. Let t = -3976 - -3978. Let c(n) = -3*n**2 - 6*n + 4. Determine t*c(v) - 3*j(v).\nAnswer: 6*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -428.8, -1\/6 in decreasing order.\nAnswer: 4, -1\/6, -428.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 - 0 - (-4 + 2 - 0). Let w = k - -10. Suppose -w*o = 3*o - 20000000. What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 10*u + 20*u + 9*u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665 divided by 10?\nAnswer: 1333\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340713 is divided by 1099?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -0.049?\nAnswer: 5.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -26*u + 2194. Determine q(73).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*f + 17*x - 45, 44*f - 41*f + 83*x - 32 = 79*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*y = -21*y - 150. Sort 15, 2\/13, y in decreasing order.\nAnswer: 15, y, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 289340*u\/3 - 289342\/3.\nAnswer: 2*(u - 1)*(u + 144671)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 14)*((2 - 3 + 0)*(-26 + 2*w + 26) + (-w - w + 4*w)*(0 + 3 - 1)) in the form n + c*w and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2542090 divided by 2.\nAnswer: -1271045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 3. Let u(g) = -g - 4. Let c(k) = 3*a(k) - 2*u(k). Let s(m) = -2*m - 5. Let w = 6 + -9. Let y(q) = w*c(q) + s(q). Determine y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411983?\nAnswer: 11, 13, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(14\/9))**6*l**22\/l*l**(-2\/77)\/l assuming l is positive.\nAnswer: l**(6770\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 24864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 6*n**2 + n - 7. Let s be y(6). Let g = -5 + 4. Let c be -1 - 0 - 4\/g. Sort -2, c, s.\nAnswer: -2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/49)*p*p\/(p*p**(-23)))**(-10))**(-29) assuming p is positive.\nAnswer: p**(341620\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzt when three letters picked without replacement from {z: 4, w: 2, k: 1, q: 4, t: 1, f: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15) + 310\/(-75) - -3)*-12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 453 (base 11) to base 9\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 27*s. Let w be x(-2). Let h = 14 - w. Let u be 7*(1 - (-100)\/70). What is the highest common divisor of h and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(-10*(-13)\/(-325))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*c + 43. Suppose -30 + c = -y. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - n**2 + (2*n - n + 0*n)*(3*n - 5*n + n) - 3*n**2 - 5*n**2 + n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105, 184, 283, 402, 541?\n\"Answer: 10*g**2 + 49*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 - 218\/(-5). Suppose -2*h + 20 = -t. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:06 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*t = 11 - 21, -24 = -4*q - 3*t. Solve 3*s - 4 = v - 3, q*v = -4*s - 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1756*s - 895 = 866*s + 844*s + 1129 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 9:04 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + 1183. Let p = x + -112020\/91. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h - 27157 = -32*h. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0308 (base 11) to base 13.\nAnswer: -51a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/12)\/((-11)\/132). Let y be (-2)\/33*x\/(-3 - -8). What is the third smallest value in y, 0, 0.09?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**4 + 0*j - 6\/25*j**5 + 1\/10*j**6 + 2\/5*j**3 + 14 - 3\/10*j**2. Find q, given that u(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 22. Let v be b(-4). Let k(w) = -w**3 + 13*w**2 + 4*w - 30. Let d be k(v). Let o = d + 373. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(-9)\/2. Let m(q) be the third derivative of q**4\/24 - 2*q**3\/3 + 12*q**2. Determine m(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/444 and -47\/56817.\nAnswer: 8408916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 8) to base 9\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**4\/24 + 3*h**3 + 62*h**2 + 4*h + 1. Let y(q) = -18*q. Determine b(y(f)).\nAnswer: 18*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b (base 14) in base 4?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2420) - (sqrt(2420) - (sqrt(2420)*2 + sqrt(2420) - sqrt(2420)) - sqrt(2420))))\/(sqrt(70)\/((sqrt(105)\/sqrt(3))\/sqrt(5))).\nAnswer: -132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 3)\/(-4 - -3). What is the second biggest value in o, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*i**3 + 1342*i**3 - 4020*i**3 + 1341*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1316681?\nAnswer: 13166810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1, 0, 2, -224?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/4, 0.3, -5, -28, 34.\nAnswer: -28, -33\/4, -5, 0.3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l + 6. Let i be c(-4). List the prime factors of (-1144)\/33*i\/4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(15\/10). Suppose 3 = j + m. Suppose 0 = -2*v + 2*d - d + 66, -v + j*d + 27 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 23*p - 21. Let k be j(-10). Calculate the greatest common divisor of 99 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 4:58 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 99. Let i be l(-24). Find v, given that 0 - 6\/11*v**i - 2\/11*v + 6\/11*v**2 + 2\/11*v**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/((-2)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1752367 or 1752333?\nAnswer: 1752333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2926*o**3 + 5854*o**3 - 2933*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**3 + 23*b + 1 - 20*b**2 - 3 - 17*b + 44*b**2 to the form l*b + d*b**2 + q*b**3 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)*l*l**(-1)*l*(l*l**(-7)*l*l)\/(l\/(l*l*l*l\/(l*l**(1\/3)))) assuming l is positive.\nAnswer: l**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.736 * 625\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-27) + 13\/(-18). Let j = -659713 + 5943857\/9. Let b = j - 716. What is the nearest to p in b, -5, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-14) - (603\/(-63) + 9). Which is the closest to -2\/5? (a) o (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 2961.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**3*m - 581056590*k**3 - 32990874*k**2*m - 2*k*m wrt m.\nAnswer: 2*k**3 - 32990874*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1201, -4668, -10361, -18244, -28281?\nAnswer: -40436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ukkuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 (base 6) in base 13?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851378 to the power of 1\/2, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8882058 and 50032?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*sqrt(20)\/sqrt(4))**2 + sqrt(5) - -1*sqrt(5)*1) + ((sqrt(405) + 0)**2 - (-1 + sqrt(5) + 2)) + 0.\nAnswer: sqrt(5) + 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28153742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 31 = 329. Suppose -3*m - 2*m = 25, -3*a + 3*m - s = 0. Let f = a - -117. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 + (0 - -7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/968)\/((-24)\/88).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16461*y + 5*x = -16463*y - 10, 4*y - 4*x - 8 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let a(j) = 10*j**2 - 3*j. Let h be (-7)\/3 - 8\/(-24). Let q(t) = 10*t**2 - 2*t. Let p(f) = h*a(f) + 3*q(f). Determine x(p(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y)**(1\/21))**(-1)\/(((y*y\/((y*y**7)\/y))\/y**1)\/(y*y**(-2)\/y*y*(y**(4\/7)\/y)\/y)) assuming y is positive.\nAnswer: y**(305\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 - 77. Let k(a) = 3 - 13*a - s - 20 - 6. What are the prime factors of k(-10)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -870403, -869873, -869343, -868813, -868283?\nAnswer: -867753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w - 159 - 16 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -7\/6, 0, -2, 18?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 - 14*r - 4. Let u(b) = 6*b**3 + 43*b + 11. Let h(s) = 11*t(s) + 4*u(s). Find the second derivative of h(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 24. Let t be z(14). Let b(k) = k - 5. Let c be b(7). Solve 0 = c*p - 5*l + t, 3*l = 2*p - 3*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y - 912*y**2 + 3*y + 907*y**2)*((2*y - 3 + 3)*(y + 0*y + 0*y) - y**2 - 2*y + 2*y) in the form t*y + v*y**4 + r*y**3 + n + m*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 9. Suppose 2*l - 3*m = 101, -2*l - l + m + 169 = a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/6*l**3 + 0*l + 1\/8*l**4 + 4\/15*l**5 + 0 + 3*l**2. Is t(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -140*c + 11. What is the remainder when 464 is divided by i(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25949990 divided by -55?\nAnswer: -471818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-7)\/(-4))*2\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**5 + 4*d**4 - 3*d**2 - 3. Let f(r) = 12*r**5 - 8*r**4 + 7*r**2 + 7. Let b(y) = 3*f(y) + 7*k(y). Let b(m) = 0. What is m?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 5*n - 17, 0 = -q - 3*q + 4*n + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:05 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + (0 - (14 - 20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(1\/(-10))*(-14160)\/2950?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-162) + -7*(-10)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*(d\/(d*d**(3\/7)))\/d*d)\/d*d)\/d*d*d*d\/(d**(14\/9)*d) assuming d is positive.\nAnswer: d**(64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4230364.5ms in hours?\nAnswer: 1.17510125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5 = 1686*q - 1685*q, 82 = 10*q + 2*p for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1\/7, 33, 0.1, 0.3, -1\/6 in increasing order.\nAnswer: -1\/6, 0.1, 1\/7, 0.3, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.807 + -0.283. Let k = 3.089622 + p. What is k rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - -70. Let i(b) = -2*b**2 + 30*b + 22. Calculate the remainder when q is divided by i(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -9?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from {f: 2, m: 4, c: 1, q: 2, e: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -352 or -4585\/13?\nAnswer: -352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/13 + -55\/91. Let q be (6\/15)\/((-120)\/(-150)). Put i, q, -0.3 in ascending order.\nAnswer: -0.3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015856.\nAnswer: 2, 7, 11, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -874.96 + 842. Let r = 9 - -25. Let x = r + b. Round x to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1653*v**3 - v**2 - 76*v + 227. Is u(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. Let s be 1 + 2\/1 + 1. Suppose 0 = u + 3*g, -4*u - s*g + 26 = -w*g. What is the greatest common divisor of 15 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (559*n + 401*n - 96*n)*(4 - 2 - 3).\nAnswer: -864*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 3)*(41*o - 6*o + 18*o) - 1 + 1 + 19*o to x*o + v and give x.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 11. Let r(n) = -4*n**3 + 4*n**2 - 2. Is r(h) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 13*b + 50. Let i be u(-16). Suppose w - 2*w = -2. What is the third derivative of -s**6 + s**2 - 11*s**i - 3*s**w - 5*s**6 wrt s?\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2448) + -3*sqrt(2448) + 2 + (-2*sqrt(2448)*4 - (4 + (sqrt(2448) - sqrt(2448)*-2))))**2.\nAnswer: 624*sqrt(17) + 413716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**11*k*k**(-9) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38369 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7681 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 5*z**2 - 2*z**5 + (2*z**3 - z + z)*(10*z**2 + 200*z**2 - 58*z**2).\nAnswer: 302*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/5324250 and -115\/108?\nAnswer: 95836500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r. Solve 0 = 4*s, o + 2*s + r = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(196) + sqrt(196)*-1 + sqrt(196))*-6)\/sqrt(7) + 1 - (sqrt(224) - (sqrt(224) - (sqrt(224) - sqrt(224)*2))*2)\/(sqrt(88)\/sqrt(176) + sqrt(8))).\nAnswer: -72*sqrt(7)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from ppchptt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -3. Suppose -8*a + b*a = 9. Let x(t) = -t**3 - 8*t**2 - t + 10. Let u be x(-8). Solve 0 = a*y - 3*p - 6, -3*y + 0 = p - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439863 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 19*h + 4. Suppose x = 4*x - 15. Suppose 2*w + 48 = x*w. Calculate the smallest common multiple of w and l(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccadacgaatwdtc. What is prob of sequence tgdd?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087210?\nAnswer: 2, 5, 208721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.91 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 3*q**2 - q - 3. Let d(w) = -1. Determine -b(y) + 3*d(y).\nAnswer: -2*y**3 - 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4012562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*h**3 - 2*h**2 - 31 + 20*h**3 + 41)*(2*h - 1 + 1 + (-2*h + 3*h + h)*(2 - 3 - 1)) to x + a*h**3 + b*h**4 + s*h**2 + k*h and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -162. Differentiate -56 + 11*b**2 + 113 - d with respect to b.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 + -175. Suppose -3*s - 4*o = o - 71, -47 = -2*s - w*o. What is the lowest common multiple of s and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2 = -5*w - 2*t, 0 = -5*w - 4*t + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22477 is divided by 11186.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 432*z**2 + 5607*z + 19110.\nAnswer: 3*(z + 7)**2*(z + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -1\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**3 + 5*f**3 + 64*f**3 + 92*f**3.\nAnswer: 141*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 297285101 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-142558)\/(-16449))\/(3 - 5 - (-20)\/9)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120115403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s**3 + 1\/15*s**5 + 1\/120*s**6 + 0 + 0*s + 0*s**4 + 4*s**2 - 17\/105*s**7. What is the third derivative of w(g) wrt g?\nAnswer: -816*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 73 = -71. Solve 4*h + 3*d - 1 = 0, 5*h + j*d = 7*d - 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7) + (0 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -15, 1, -5, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lifiolcifcicccccci. Give prob of picking 1 o, 1 f, and 1 i.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -754434528 divided by 12?\nAnswer: -62869544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632002 is divided by 37157?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 13*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50259347839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wphhhhhphpphwhwhhwap. What is prob of sequence pah?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*w - 44 + 13, 3 = -k - w. Suppose -3*b - 2*b + 5*j + 130 = 0, -3*b = -k*j - 82. Calculate the remainder when 61 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 39*r + 175. What is t(-43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, y: 3}. What is prob of sequence kk?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605276 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -1, 5, 4 in decreasing order.\nAnswer: 5, 4, -1, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l + 63. Let v be z(7). Suppose -2 - 24 = -2*y. Suppose 5*w - y = 7. Solve 10 + 8 = 2*h + 4*q, v = -2*h + w*q - 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -687.\nAnswer: -4\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14314 - -4?\nAnswer: 14321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 8102 and 8102 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from {m: 1, s: 2, z: 2, e: 6}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.70366 days?\nAnswer: 1013.2704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w + 96. Suppose 59*b - 322 = 73*b. Is w equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 16) to base 5.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/281454 and 91\/12304.\nAnswer: 2251632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 72\/7 (b) 82 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aknmmnnnwakywmnmkn. Give prob of picking 2 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -17. Let k = n - 12. Solve 2*h = 3*a, h + 2 = k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426693 is divided by 158.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -68985 and -701892115.\nAnswer: -701961100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 = 4*r + i, -2*r + 25 = -3*i. Suppose -n + m = 4*m + r, 2*n - 6 = 2*m. Put 3, n, -5 in descending order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/2*i**4 + 0*i - 2*i**2 + 0 + 8*i**3 = 0. Calculate i.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*c + 2 - 172, 4*z + 79 = -3*c. Let i = -30 - c. Solve -1\/2*n**i + 0 + 0*n - 1\/2*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420444 by -70074.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3706054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4545856 divided by -568232\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -44. Calculate the highest common factor of 80 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 + 224*k**2 + 57*k - 483. Calculate w(45).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2928311 + -0.4.\nAnswer: -2928311.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(6)\/sqrt(3) + -3*sqrt(2)*1.\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w, -m - 4*m + 4*w = 3275. Let a = 962 + m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 770\/308*368\/20. Calculate the highest common divisor of r and 21252.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*k**3 + 791*k**3 - 16*k + 16*k.\nAnswer: -59*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from xnhnxhxxnnnxtnnnxnnx?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.538607 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*a*m**4 + 4423*a*m**3 + 2*a*m**2 - 28*a*m - 2*a + 48*m**3 + m**2 + 1075*m wrt m.\nAnswer: -576*a*m + 26538*a + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from {i: 2, w: 1, s: 1, t: 1, a: 2, c: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - y + 0 = 8, -3*y - 32 = -5*w. Find a, given that -w*a**4 + 4*a**3 + 6*a**2 + 2*a**4 - 7 - 8*a - 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 11. Let q(p) = 9*p + 22. Let s(m) = -11*d(m) + 6*q(m). Let a be s(5). Solve -10 = a*o - o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1418688567\/30968 - 2244509\/49. Let x = 34\/325 + -17827\/179725. Let o = x - d. What is the common denominator of 7 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (460*c**2 + 12780*c + 461*c**2 + 456*c**2 + c**3 - 1377*c**2)*(-c**2 - c**2 + 4*c**2).\nAnswer: 2*c**5 + 25560*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3997064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 3*k**4\/8 - 9*k**3\/2 - 3*k**2\/4 + 27*k\/2 + 242. Factor v(j).\nAnswer: 3*(j - 9)*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 2809927632?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 2. Suppose -6 - w = 4*z. Let j = 53 - 57. What is the biggest value in j, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, o: 4}. Give prob of sequence xxx.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.49\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3078\/505?\nAnswer: -3078\/505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 4*a - 49 = 0, -5*a = -109 + 129 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/4 (c) 0.41 (d) -2\/43 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = f - m + 22, 5*f - 2*m = 27. Let w = -945.4 + 945. Put w, -2\/67, f in decreasing order.\nAnswer: f, -2\/67, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let q(s) = -25*s. What is 150*k(v) + 2*q(v)?\nAnswer: 100*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = 2*d - 22, -3*a + 9 = d. Suppose -r + d = 2. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1312*h*j**2 - h*j - 2*j**2 + 2065*j - 1 wrt j.\nAnswer: -2624*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -22 - (-43 - (-40 + -14) - 24).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 120 = 4*k, -2*k + 2*c = -3*c + 60. Let u = k - -51. Suppose 0 = -4*m + 15 + u. What is the least common multiple of m and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11329 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 12224.\nAnswer: 110016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 2230, 5, -3 in descending order.\nAnswer: 2230, 6, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/19, 1\/11, -3 in ascending order.\nAnswer: -3, 1\/11, 2\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*m**3 + m**2 - 1082*m.\nAnswer: -852*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -396, -580, -760, -936?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -100021?\nAnswer: -100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1946 divided by -2\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/20 + 3\/(-5). Suppose -m*g = -0*g - 11200. What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 4 (c) -0.044 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by 2788.\nAnswer: 89\/2788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -21845 > -22772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3099265\/64 + -48427. Find the common denominator of w and -35\/18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0.96. Let t = -415.1 - -415. What is the closest to t in -1\/3, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 325, 657, 989?\n\"Answer: 332*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49791*q**2*w**3 + 20*q**2*w**2 + 8*q**2 - 5*q*w**2 + 506*q*w - 86*w**3 + 2*w wrt q?\nAnswer: -99582*w**3 + 40*w**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 179 and 3.\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 251, 175, 61, -85, -257, -449?\n\"Answer: m**3 - 25*m**2 - 8*m + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8954261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/1072 - 15279\/1072. What is the common denominator of n and 71\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 12 = -3*t. Let h = 4 + t. Solve 0 = h*u - 5*x + 7, 3*u - 7*u + x - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3656 and 1382882?\nAnswer: 5531528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 6*u - 5. Let c be p(3). Suppose -g + 3*j - 23 = -60, c*j - 2 = -g. Solve -5*v - 2 + g = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2057, 2778, 3499, 4220, 4941?\n\"Answer: 721*y + 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*o**2 - 931*o**3 + 592*o**3 + 39*o**2)*(5 - 3 + 0).\nAnswer: -678*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1091*r - 332758. Calculate z(-305).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390026130 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63\/4 + 29\/2. Which is the nearest to 0? (a) 2\/9 (b) 2 (c) v (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 1.9. Let w = 0 - 1. Let i = -11 + 11.5. Sort w, l, i in ascending order.\nAnswer: w, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155 - -153. Let z(a) be the first derivative of -a**5\/12 - a**4\/12 + a**2\/2 - 14. Let m(b) be the second derivative of z(b). Determine m(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l + 37*l**2 + 6 + 12 - 3*l + l wrt l?\nAnswer: 74*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -348 smaller than -2791\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6952 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 52 - 335. Suppose 5*m = -v + 364 - 1143, 3*m + 464 = -4*v. Let q = m - y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (4 - 43 - 16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**2 - 1\/24*y**4 + 0 + 0*y + 0*y**3 + 1\/20*y**5 + 1\/120*y**6. What is the units digit of r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (126\/(-27))\/(294\/(-126)). Solve u = 31*h - 60 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -665, 4, -3, 0.02, -2\/17, 0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 6*b - 284. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i + 7*i + (-2*i + 2*i - 2*i)*(-3 + 7 - 2) + (2*i + 3*i - 3*i)*(-2 + 5 - 1) - 49 + 21 + 123*i + 27.\nAnswer: 125*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:28 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11578.\nAnswer: 2, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 3*l + 3. Let q be s(3). Let d = q + -5. Calculate the remainder when 1 - 1 - 16\/d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 530\/(-53) + -3 + 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ofegoinfinfneief?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1602245, 3204526, 4806815, 6409112, 8011417, 9613730, 11216051?\n\"Answer: 4*b**2 + 1602269*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -3, 0.5, -3\/4, -4\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5406*n + 27 = 5409*n + 4*w, 5*w = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82213*u**4 + 727*u**3 - 6*u**2 - 7918399 wrt u.\nAnswer: 1973112*u + 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(99) - sqrt(11))**2*-6.\nAnswer: -11153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242147, 968526, 2179161, 3874052, 6053199, 8716602?\nAnswer: 11864261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, u: 1, b: 2}. Give prob of picking 1 u and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -5*a + n, -a + 5*n + 12 = 0. Factor h**2 - 9*h**4 - 5*h**a + 12*h**4 - 5*h**4 - 6*h**3.\nAnswer: -2*h**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19305922, 19305924, 19305926, 19305928, 19305930, 19305932?\nAnswer: 19305934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6640 and 32?\nAnswer: 13280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**7\/2520 - z**6\/120 + z**5\/30 + 5*z**4\/24 - 6*z**2. Let l(u) be the second derivative of a(u). Calculate l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/134 and 101\/50?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1521.4914 months?\nAnswer: 1.2679095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*h + 1049*h + 2166*h.\nAnswer: 2523*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1303 - 2197 - 339 - 1155 + 1217)*(5*w - 2*w - w).\nAnswer: -7554*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t**5 + 0*t**6 - 2*t**2 + 1\/6*t**3 + 0*t - 1\/210*t**7 + 0*t**4 + 0. What is the derivative of j(a) wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, d: 1, n: 9, r: 6}. What is prob of picking 1 c and 1 n?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/5, 3\/7, -24, -1\/2 in descending order.\nAnswer: 1, 3\/7, 1\/5, -1\/2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**7\/14 - b**6\/5 + 3*b**5\/20 - 32*b - 12. Let j(w) be the first derivative of a(w). Factor j(m).\nAnswer: 3*m**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a century?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 205. Let d be h(-60). Let x = 36 - 97. Let u = x + 36. Is u > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59633847 divided by -1183?\nAnswer: -50409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 15416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 2c01d9?\nAnswer: -2c01de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5909 - -4.9?\nAnswer: -5904.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -0.3, -2\/3, 4, 1.\nAnswer: -2\/3, -0.3, -0.05, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3149 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 471800831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5 + 21*i**4 - 251*i**3 - 561*i**2 - 290*i = 0.\nAnswer: -29, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 6*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**3 + 7*y**2 + 7*y - 52. Let h be r(11). What are the prime factors of ((-3)\/(-4))\/((-52)\/h)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 58 = 214. Let c = b - 63. What is the highest common factor of 195 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71316\/105 - (-2)\/(-10).\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 3. Let z = -24 - -16. Let o be c(z). Let a(r) = r**2 + r + 1. Is a(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - 3*t**2 + 3*t**2 + (t**4 - 4*t**2 + 4*t**2)*(t + 0 + 0) + t**5 + 0*t**5 + t**5 - 52*t**5 + 65*t**5 - 38*t**5 + 0*t**5 - 10*t**2 + 6*t**2 + 2*t**5.\nAnswer: -19*t**5 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 10*u + 10. What is the smallest common multiple of 6 and a(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2262 divided by 754\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -17*y + 104. Let f be a(6). Let q(u) be the second derivative of 0 + 5\/12*u**4 - 7*u + 0*u**f + u**3. What is the second derivative of q(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:55 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6887662?\nAnswer: 2, 47, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 112. Suppose 5*l - 35 = -5*z, 0 = -l + 3*z + i - 7. Let v = 0 - -60. What is the greatest common divisor of v and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s + 86. Suppose 70*x - 15 - 1095 = 80. Determine d(x).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283289368.\nAnswer: 2, 61, 613, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-23895)\/(-378))\/(-295))\/(1\/(21\/306))?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.567 to 1 decimal place.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -1 (c) 7\/5 (d) -375 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -7 (c) -0.3 (d) -49\/85479 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmh when three letters picked without replacement from {h: 3, m: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = 5*g, -5*b = -0*b - g - 15. Suppose 0 = -b*c + 5*s + 87, -11 = -c + 2*s + 18. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.938157ng to grams.\nAnswer: 0.000000004938157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-1 + 170\/6). Calculate the remainder when y\/(-6)*(-3)\/1 is divided by (2 + -3 - -2)*14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 8:09 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 2 = 10*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + 0*x**2 + 0*x**2)*(-2*x - x + 4*x) + 0*x**5 - x**5 + 0*x**5 - 2290*x**3 + 2290*x**3 + 2*x**5 - 7*x**4.\nAnswer: 3*x**5 - 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156\/(-2431) + (-2)\/(-11) + 1086894\/153.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 + -4 + (-11009)\/(-80). Let b = 644\/5 - c. Calculate the common denominator of b and 63\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*t**2 + 0 - 2\/5*t = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*f + 5*a = 448*f, 2*f = -a - 22 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = 3*a. Let z = a + -9. Calculate the greatest common divisor of 121 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.5699 to 1 dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 82. Solve 0 = -5*y - 2*o + 10, -j = -4*y + 3*o + 2*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1654867 at most -1654872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b9b4b (base 15) in base 6?\nAnswer: -44530055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3253 = 38*h + 193*h + 8566 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 2*p. Let l(g) be the second derivative of -g**3\/6 - 2*g. Let q(a) = 4*l(a) - 2*v(a). Let y(x) = -2*x. Determine q(y(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (2 + -4 - 1\/(-1)). Let i be (-13)\/(-13) - s\/2. Let y = -2.96 + -0.04. What is the second smallest value in 2\/13, y, -4, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3714670 and 2600269?\nAnswer: 26002690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 170792736 divided by 2\nAnswer: 85396368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.216988 days to microseconds.\nAnswer: 18747763200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3245344683?\nAnswer: 3, 7, 89, 353, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8274.335 millennia to centuries.\nAnswer: 82743.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 - -0.6. Let q = g - 4.8. Let p = 1.3 - 1. What is the closest to -1 in 0.6, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*i**2 + 25*i**3 - 25*i**3 - 12*i**4 wrt i?\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.973 plus -820267.1?\nAnswer: -820526.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, -8, -4\/15, -5, -0.3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b. Determine r(10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*u - 2*y, -4*u - y + 6 = 4*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/55? (a) -3 (b) 14 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.789 rounded to one decimal place?\nAnswer: -211.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 868 divide 242172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -56616779.79 rounded to the nearest 1000?\nAnswer: -56617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1844110100 and 3675.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3 + 193450*z**2 + 386906*z + 193454 = 0.\nAnswer: -1, 96727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/21 - ((-61780)\/(-28))\/(-5). Let s = 624 - z. What is the remainder when s is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - -1.57. Let v = n - 0.6. What is the nearest to -3 in v, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -455484*i + 4573. Is y(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*j + 3*j + 3*j)*(-4 + 4 - 1) + 0*j - 4*j + 0*j - 4*j + 12*j - 7*j)*(-25 - 9 + 9) to y + t*j and give t.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -37. Suppose d = -4*j - t + 237, 6*j - j + t - 296 = 0. Suppose -5*i + j = -101. What is the remainder when 60 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) - (-17 - -14). Solve 0 = r*w - 4*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 650867.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(1 + (-9)\/36). Suppose 3\/5*a + 0 - 9\/5*a**4 - x*a**3 - 3\/5*a**2 = 0. What is a?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4\/(-432)*8?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 9*i**2 + 7*i + 45. Let w be o(-10). Let x be ((-40)\/(-1))\/(15\/w). Which is smaller: 199 or x?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 12*l - 1120. Let c be p(34). Calculate the greatest common factor of c and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/60 + 7*a**4\/12 - 17*a**3\/6 - 9*a**2. Let x be v(12). Let p(l) = 2*l + 2. Is p(x) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89398831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41728, 1302, 4.\nAnswer: -41728, 4, 1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 57 - 20 = 0. Let i be (-2)\/(-4) - (-9)\/(-6). What is the remainder when (730\/25)\/(i\/(-5)) is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27249059 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > 0.124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14273*n**3 + 5*n**2 + 21*n + 19 wrt n?\nAnswer: -85638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -968588682, -968588681, -968588680?\nAnswer: -968588679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/21 and -14\/69.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/60 + 23*h**3\/3 - 26*h. Let i(t) be the second derivative of y(t). Let u(j) = 20*j**2. What is i(u(s))?\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -79?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 290 = 5*y, -6*y + y + 280 = -4*f. Calculate the remainder when y is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*d + 27 = 5*n, -2*n - 3*d = -19. Let v = 0 - -1. Suppose l + v = 6. Solve l = -0*g - n*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5817679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -795 - -43478. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(85) + sqrt(85)*3) + sqrt(85))*-3)\/(3*sqrt(15)\/sqrt(3) + sqrt(5) - (sqrt(5) - sqrt(35)\/(sqrt(7)*2))).\nAnswer: -78*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100200 + 1?\nAnswer: -100133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 8*p**2 - 6*p - 2. Calculate o(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22.6906 days?\nAnswer: 1960467.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -1\/2*c**6 + 4 - 1\/3*c**3 + 0*c**2 + 0*c**5 + 0*c**4 + 0*c. What is the third derivative of r(f) wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 10 = 29*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 190, 737, 1646, 2917, 4550, 6545?\n\"Answer: 181*z**2 + 4*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -863390000 to the nearest 1000000.\nAnswer: -863000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 - 132*t**2 = 0 for t.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031472.87 rounded to the nearest 100?\nAnswer: -1031500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 17}. Give prob of picking 1 q and 2 t.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 410, -0.5, -4, 6, -27, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 13 + -17 - (6 + -5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 27795?\nAnswer: -1\/5559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 8:09 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16837.\nAnswer: 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11992 = -4*k - 2*o, 5*k - 10895 = 5*o + 4110. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2*l**3 + 16*j**2*l**2 + 4*j*l**3 + 5*j*l**2 + 3*j*l - 1069*l**3 + 3 wrt l?\nAnswer: -6*j**2 + 24*j - 6414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906010.1cm to micrometers.\nAnswer: 9060101000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9187144, -9187147, -9187150, -9187153, -9187156, -9187159?\n\"Answer: -3*q - 9187141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 38093.\nAnswer: 38093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 27\/(-3))\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:38 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 1 n when three letters picked without replacement from {y: 3, s: 2, n: 8, p: 2}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6 and -127\/276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 201?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6595\/2 - -3290. Which is the closest to 1\/4? (a) m (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1115980177 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5)*(w\/(w\/w**(-5)))\/w)\/((w**(4\/9)\/w)\/(w\/(w**(-2\/19)*w*w))) assuming w is positive.\nAnswer: w**(-58\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -849, -5 in descending order.\nAnswer: -4, -5, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19064335 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*t = -16, 3*j - 1 = 4*t - 5. Let p be 0\/(-1) - (3 + -2). Let w be p\/((-2)\/j - 0). Solve 2*x + w - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - a?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-10)\/(-4) + 1. Let x(z) = 3*z - 3. Let p be x(9). Suppose 3*k + 72 = 3*i, 2*k + p = i - 3*k. Calculate the greatest common factor of i and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 11*z**2 - 12*z + 2. Let t be (-156)\/12 + (1 - 0). Let v be n(t). Suppose v*w - 74 = -u - 24, -3*w = -u - 85. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -25, -g - 17 = -3*g + 3*r. Suppose 2*v - g = -s, -3*v = -3*s - s + 15. Sort -4, -2, v.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 588468 or 588469?\nAnswer: 588469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.93 - 35.77. Let j = s + 39.3. Let m = 344\/5 - 69. Which is the smallest value? (a) m (b) -0.3 (c) j (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 times -0.0769?\nAnswer: -15.9183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -1046*t**5\/3 + 896*t**4 + 16955*t**3\/6 - 2315*t**2 - 14863*t\/6 + 1419 = 0.\nAnswer: -2, -1, 1\/2, 1, 4257\/1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1621 = 7*k + 2040. Round k to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*2*sqrt(75) + 2 + sqrt(75) + (sqrt(75) - -4*(sqrt(75) - (sqrt(75) + 1) - sqrt(75)) - sqrt(75)) + 3 + -1) + 2)**2.\nAnswer: -300*sqrt(3) + 16879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 134509 * 0.4\nAnswer: 53803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d + -1c6?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + c - 47, u + c = -0*c - 39. Let h = u - -60. Suppose p - h = 4*p - 2*l, -p - 4*l = 15. Is p bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 41*l - 865. Determine f(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = -5. Let g(y) be the second derivative of -y**4\/12 - y**3\/6 + 3*y**2\/2 - 6*y. Determine g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 37, 4, 3, 2, 1834, -4 in decreasing order.\nAnswer: 1834, 49, 37, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (3 + 1 + -2). Suppose -q*c = 4*v - 48, 0*v = -2*v + 4*c + 24. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47439665 times -0.01\nAnswer: -474396.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38320 in -5, -0.4, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a - 101. Let k be o(-11). Which is smaller: k or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4523, 0.11, -2\/11 in ascending order.\nAnswer: -2\/11, 0.11, 4523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -84. Let s = -14 - -29. Calculate the remainder when u is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -17*l + 3*p - 49, 4*l - 2*p = -146. Let t = 0.5 - 0. Put 3, t, l in descending order.\nAnswer: 3, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000556 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 5. Let r = -1 - -9. Let k be t(r). Solve j + k*z + z = -8, z + 3 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37033, 37471, 38199, 39217, 40525, 42123?\n\"Answer: 145*d**2 + 3*d + 36885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-2)*2)\/(-1). Let r be 0\/(-1) + -5 + x. Let q = r - 0. Solve q = -3*v + 5 - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 88 = 20*c. What is the least common multiple of 6 and (-2 - ((-12)\/(-8) + -4))*c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 5*p + p)*((-p - 1 + 1)*(4*p - p - 5*p) + 2*p**2 + p**2 - 2*p**2 + 5*p**2 - 4*p**2 - 2*p**2 + 2*p - 2 + 8*p**2 - 11*p**2 + 0).\nAnswer: p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 61) + -21 - -23?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -1.05. Let w = 33 + -19. Let j be 49\/56*12\/w. Which is the second smallest value? (a) y (b) j (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 20. Suppose -3*s - p*s = -246. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 + 96. Which is the second biggest value? (a) -3.4 (b) 1\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:55 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -177, 4, -1 in ascending order.\nAnswer: -177, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151298*l**5 + 2*l**4 - l**2 - 1435*l + 1?\nAnswer: 9077880*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1108*n**2 + 3543*n + 1209238 with respect to n.\nAnswer: -2216*n + 3543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 9. What is the nearest to h in 2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = y - 5*y. Let m(d) = d**3 - 3*d**2 - 2*d + 1. Let g be m(4). Let a = g - y. Let v(s) = 2*s + 5. Give v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + -0.1. Which is the closest to 0.1? (a) 5 (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*236999.3.\nAnswer: -9479.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 686008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - g + 21 = 0, 0*g - 12 = 2*v - 4*g. Suppose u - 263 = -v*o, -8*o - 2*u = -3*o - 325. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7.035. Round p to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 1175*c**2 + 70760*c + 201840.\nAnswer: 5*(c + 3)*(c + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + ((-32)\/(-8) - -2). What is the greatest common divisor of c and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3\/7 + 32*p**2\/7 - 748*p\/7 - 968 = 0?\nAnswer: -11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 37777998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*10\/2100)\/(2\/(-21))*-7.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2 - 63)\/(-1). Suppose -v = -4*o + 34. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*z**3 - 3 - 3 + 6.\nAnswer: 186*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.86219 to two decimal places.\nAnswer: 9.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, i: 1, j: 2, t: 2, w: 1}. Give prob of sequence wt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -26, -5\/97, -1\/4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939 (base 15) in base 7?\nAnswer: 50403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/((-48735)\/18))\/((-2)\/10)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = m, m = f + 2*f - 13. Put m, -13, -4 in decreasing order.\nAnswer: m, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20470\/(-28658)*(-6)\/(-210)\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40855929.265 + 0.\nAnswer: -40855929.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34407312 - -2914508.\nAnswer: -31492804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2*8\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 + 5*d**2 - d. Let p(r) = -3*r**3 + 4*r**2 - r. Let y(n) = -5*n - 5. Let w be y(0). Give w*p(o) + 4*x(o).\nAnswer: 3*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2) - 2)*-2. Let r(d) = 1 + 5 + w + 3*d. Let h(c) = -2*c - 8. Let y(a) = -6*h(a) - 5*r(a). Find the first derivative of y(n) wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562330.\nAnswer: 2, 5, 53, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + -13 + 6 + 30 + 0 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12803*r - 381. What is the units digit of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -61*i + 64*i - 4, -13 = -2*r - 5*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6133 is divided by 226?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 21. Let o(h) = -h + 11. Let w(s) = -4*l(s) + 7*o(s). Let q(n) = 2. Let a(v) = 7*q(v) + 2*w(v). Let x(i) = -3*i**2. What is a(x(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 4. Let x = -10 + p. Which is bigger: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935456 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 927*o - 2092. List the prime factors of s(21).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2\/1)\/(((-1968)\/408)\/41).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.723 - -2.6. Let f = z + -0.077. Sort f, -3, -0.5 in ascending order.\nAnswer: -3, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/155, 5\/3, 2, -1\/3, -7\/6 in decreasing order.\nAnswer: 2, 5\/3, -1\/155, -1\/3, -7\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(x**2 - 3*x**2 + x**2) + 5*x**2 + 0*x + 0*x + (0 + 5 - 2)*(-3*x**2 + x**2 + 4*x**2) - 2*x**2 + 0*x + 0*x + 4*x**2 + 0*x**2 + 2*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**7\/1260 + l**6\/720 + 7*l**5\/60 - 5*l**2. Let y(z) be the third derivative of d(z). Give y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -777344, -1554633, -2331922, -3109211, -3886500, -4663789?\n\"Answer: -777289*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-6)\/8). Let r(m) = -4*m - 4. Let z be r(f). Suppose -z*a + 15 = -25. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 - -19.33. Let o = w - 19.3. Suppose 5*d - 11 = -4*f + 14, 3*f = -2*d + 10. What is the second smallest value in 0, d, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 656977986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2466\/11 at least as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let s be ((-2 + -7)\/3)\/(-1). What is l(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(-18\/5) assuming o is positive.\nAnswer: o**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**9\/126 - u**6\/45 - 7*u**3 - 4. Let x(a) be the third derivative of y(a). What is the third derivative of x(g) wrt g?\nAnswer: -1440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + 0.74. Let r = -3 + 8. Put h, r, -1 in decreasing order.\nAnswer: r, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 46. Let h(y) = -19*y + y - 14*y - x. Let g be h(-1). Calculate the highest common divisor of 42 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 5*z**2 + 4*z + 4. Suppose 23*u - 9 = -147. Give g(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:56 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6003.905 kilometers?\nAnswer: 600390500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + 3*sqrt(2448)*-2.\nAnswer: -72*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 1033217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 3*y - 5. Let q be u(4). Let w be -4 + (5 - q) + 7. Suppose 0 = m - 4*m. Solve 0*j - 3*j + w = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 30 - 14. What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653798 is divided by 16759?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 56, 425 in descending order.\nAnswer: 425, 56, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265195*r**4 + 316*r**3 + 144821*r**2 - 334*r wrt r?\nAnswer: -6364680*r + 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1274\/455)\/((4\/(-25))\/(-2)). Which is the second biggest value? (a) r (b) 0.2 (c) -2\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9906, 9440, 8680, 7626, 6278, 4636, 2700?\n\"Answer: -147*d**2 - 25*d + 10078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -29, -79, -163, -293, -481, -739?\n\"Answer: -2*n**3 + n**2 - 17*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 2, l: 1, r: 7, b: 1, k: 1}. Give prob of sequence glr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.36569071 to 2 decimal places.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(11466\/7749) + 24.\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*r - l, -6*r + 9*r + 459*l - 457*l = -14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*h - h - 892, -173 = -n + h. Suppose -3*f = -17 + 59. Let d = 30 + f. Calculate the highest common divisor of d and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50991 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121354 is divided by 30328.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2971*r + 3. What is j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2220, -2174, -2130, -2088?\n\"Answer: -u**2 + 49*u - 2268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -14. Suppose -2*h + g*h = 2*h. Suppose -1 = -t + 1. What is the nearest to h in 0.3, -3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*m + 10*m + 17*m - 86*m.\nAnswer: -103*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*m - 4*b, 4*m - m - 2*b - 12 = 0. Let y(u) = 142*u + 4125. Let x be y(-29). Solve -4*r = 2*k, -x*r - k - m = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24933004, 49866002, 74798998, 99731992, 124664984, 149597974?\nAnswer: 174530962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 70730*t**2 - 282980*t + 283000.\nAnswer: 5*(t - 2)**2*(t + 14150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/13 - 5)*18\/10*5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 8 + 17 + (-3 - 2 + 1)*(-1 + 3 + 4))*(l**3 + l**4 - l**3 + 1) as v*l + x + f*l**3 + j*l**2 + b*l**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -6, 4*t = 6*t - 2*j - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 5*t**2 - 4*t**2)*(3*t - 3*t + t) + t**3 + t**3 + t**3 - t - t - 3*t**3 + 0*t**3.\nAnswer: -t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 2*(3 - 5). Let c(o) = o**2 - 1. Let w be c(m). Let b be 40\/w*(-90)\/(-24). Calculate the greatest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:05 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1258815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 235, 237?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/12 + -4 + 8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + r**2 - r + 1. Let d(n) = 165*n**3 + 60*n**2 - 60*n + 60. What is d(c) - 60*z(c)?\nAnswer: 105*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -59 - 2. Let k be -2*2\/4 + d. Suppose 0*n + 5*n = k. Solve -3*p + 4*r + 3 = 1, r = -5*p - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32024857.\nAnswer: 32024857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 18 = 3*y, -o - 22*y = -24*y + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30016 and 1653694.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 + -168. Solve g*f = 10 + 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5365*w = -5337*w - 616 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2\/9, 2307, -2\/7, -2\/389?\nAnswer: -2\/389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75\/2 - 6267\/8*d**3 + 129*d**4 - 345*d + 7743\/8*d**2 - 6*d**5 = 0. Calculate d.\nAnswer: 1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o + 7*o - 12 - 6*o**2 - 4 - 2*o. Let z be k(6). What is the greatest common factor of 55 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1292590 divided by 2\nAnswer: -646295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125 in 4\/3, -4, -2, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21613908 is divided by 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 693, 695, 697?\n\"Answer: 2*z + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 1\/375, -16?\nAnswer: 1\/375","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110200211020200 (base 3) to base 4.\nAnswer: 121233122130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s - 4. Let w be 4\/(-2) - (-6 - s). Let t = 49 - 49. Solve 1 = 3*c + a + 5, w*a + 20 = t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*g = -4, 2*g = 5*k + 7*g - 20. Suppose 0 = 3*u + d + 218 - 2767, -2*d - k = 0. What are the prime factors of u?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clillololcloiib. Give prob of sequence cii.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 124?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 12 + (-5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49345\/706 + -4375\/353. Factor -110 - 5\/4*b**2 - p*b.\nAnswer: -5*(b + 2)*(b + 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-18))\/(-1)*21\/(-42). Suppose 4*i + 5 = 1. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/60 + 5*u**4\/4 - 73*u**3\/3 + u**2 - 1362. Determine l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - 2.3. Let l = -683 + 683.1. What is the third biggest value in l, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -18*r**3 + 9*r**2 - 4*r + 2. Let z(p) = -26*p**3 + 14*p**2 - 6*p + 3. Let g(n) = 8*f(n) - 5*z(n). Calculate g(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 4*x**3 - 2*x**3)*(0*x**2 + 6*x**2 - 4*x**2).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58.4505l?\nAnswer: 58450.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97552211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(126\/(-240)) + 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) -12\/11 (c) -1\/115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749*i**2 + 4451*i**2 + 3609*i**2 - 255*i**2.\nAnswer: 7056*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -7 + 4 + -2 - (28 - 26)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -459133 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024598 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -6*a + 28*a - 43. Solve 3*q = 3, -a = 4*l - 5*q + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 5*y + 5*u - 233, 0 = 3*y + 5*u - 87. Suppose -7*l + 20 - y = 0. Which is the fourth smallest value? (a) -4 (b) 0 (c) l (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 + 1 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11)\/(f**(5\/6)\/f) assuming f is positive.\nAnswer: f**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 1. Let h be p(-9). Suppose -3*w - 2*o = 11, -5*w + 3*o = -10*w - h. Is 44 + w + (0 + -2 - -3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/((-9471)\/42) + (-334)\/(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17014.\nAnswer: 2, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**6 - 53*q**5 + 10*q**3 - 2*q**2 + 237*q?\nAnswer: 1320*q**3 - 3180*q**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 - 0 - (8 - 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 4*n - 7. Let q(a) be the second derivative of -a**4\/12 + a**3\/2 - 3*a**2 + 11*a. Let g(j) = 4*m(j) - 5*q(j). Determine g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 22868*s - 22872.\nAnswer: 4*(s - 1)*(s + 5718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 25*x**2 - 24*x + 44. Let v be a(-26). Let k(z) = z**2 + 7*z + 9. Calculate k(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803*y + 14 - 3 - 11 - 1635*y + 812*y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(6) + sqrt(42)\/(sqrt(21)\/sqrt(3)))\/(-5*(sqrt(22)\/sqrt(176) + (sqrt(2) - sqrt(18)*5)))*-3)**2.\nAnswer: 3888\/75625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Let d be 2\/(-3) + 26\/y. Calculate the remainder when 31 is divided by (0 + 2)*d*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - n + 3. Let f(k) = 3*k**2 - 2*k + 2. Let l(q) = 3*f(q) - 2*o(q). Let a be l(5). What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.3, -12, 4.4, 4829?\nAnswer: 4829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29651442 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 492 = 232. Suppose -4*f + 1484 = 2*x, 10*f - 9*f + 5*x = y. Is 62 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6ea6 (base 15) to base 11\nAnswer: 16775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81708 is divided by 40795.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -451 + 4063\/9. Let i(q) be the third derivative of 2*q**2 - 7\/30*q**5 - 833\/360*q**6 + 0*q + 0 + o*q**3 + 13\/18*q**4 - 98\/45*q**7. Solve i(d) = 0.\nAnswer: -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1197932 and -19\/506.\nAnswer: 13177252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 71437985 - 5?\nAnswer: 71437980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1057964090 to the nearest 100000.\nAnswer: 1058000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874098711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(7\/(-14)*(-2)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/21 and -25\/95916.\nAnswer: 671412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8232 is divided by 2657?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**4\/4 - 4*f**3\/3 - 3*f**2\/2 - f + 7. Determine n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -23. Suppose 11*a = p*a. Suppose 3*g - 2*g - 16 = a. Calculate the greatest common factor of g and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - 2*u**3 + 3*u**2 + (2*u**3 - 4*u**3 + u**3)*(-1 + 1 + 4) + (u**3 - u**3 - u**3)*(-1 + 0 - 2).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4 = 5*k, 7*k - 4*k - 4*y = -2. Let v be ((-7)\/k)\/((-1)\/(-2)). Let z be (-110)\/(-7) + (-2)\/v. What is the highest common divisor of 144 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412444.4 micrograms to tonnes.\nAnswer: 0.0000004124444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 0) + 1 + 2 + -48 + 8.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 21872*d**2 - 4044*d**2.\nAnswer: 17828*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 29. Suppose -y = -g - 0*g. Solve 0 = 4*k - 2*t + 14, -3*k + g*t - 7 - 2 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11120001 (base 3) to base 6\nAnswer: -23214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-63))\/(3\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/360 + 5*m**4\/144 + m**3\/9 - 49*m**2\/2 - 25*m. Let t(p) be the first derivative of b(p). Find w, given that t(w) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3607, -3599, -3591, -3583, -3575, -3567?\n\"Answer: 8*z - 3615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 373882831*q**3 + 37107285*q.\nAnswer: 2243296986*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5062 - -8099. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3\/7 - 468*q**2\/7 - 18252*q\/7 - 237276\/7 = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Suppose -s + 9 = 4*n. Solve -3*x + 3*j - 14 = n*x, -x = 5*j - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z + 0*z + 0*z)*(3*z + 0*z - 4*z) - 506*z**2 + 15279 - 15279)*(2*z - 3 + 3).\nAnswer: -1014*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2614*b - 14894 - 24425 = 744*b - 5659 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.5 - -7. Which is the third smallest value? (a) n (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/(-10) - -3) + (-1260962)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 451\/(-88) + (-1)\/(-8) - 46\/(-9). Let h = 34.93 - 35. Which is the smallest value? (a) h (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38606 divided by 97?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {k: 13, z: 3, a: 3}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484260507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244421 is divided by 884.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1952\/5 and 390 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (1 - 1 - (-95 - -92)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -13, -17, -9, 17, 67, 147, 263?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 + 5*o**2 + 8*o + 4 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (-72 - -56) - 65.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(22\/342))\/(-1). Let f be ((-5244)\/j)\/(2\/3). What is the greatest common factor of 69 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 2, w: 4, a: 1, z: 2}. What is prob of sequence ja?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 2*b - 2. Suppose 2*f = 3*r - 14, 2*r - 4 = 4. Let h be d(f). Solve -g - 3 = h*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1897 divided by -271?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 432135476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scjx when four letters picked without replacement from {x: 1, i: 2, c: 2, p: 4, s: 1, j: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 + 16. Let q(i) = -2*i**3 + 19*i**2 + 47. What is -8*g(t) + 3*q(t)?\nAnswer: 2*t**3 + 9*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5)**(3\/4)\/(c*c**11*c*c\/(c\/c**4*c)))**(2\/69) assuming c is positive.\nAnswer: c**(-49\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1531303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t. What is k(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u + 16. Determine i(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 79.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t = 2*r - 619, 4*t + 816 = 5*r. Let i = 1116 + t. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206*m**3 + 363*m**2 wrt m.\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - y + 5*f, -10 = 4*y + f. What is the third biggest value in -0.1, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1561 or 8168?\nAnswer: 8168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11217584 from 5.6545.\nAnswer: 11217589.6545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44224 less than 146231?\nAnswer: 102007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-15))\/((-2)\/6). Which is the second biggest value? (a) 3 (b) -3\/2 (c) 5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/2 - 8*i**2. Let y be (10\/8)\/(1\/(-4)). Is b(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 476*q**2 + 74*q + 223. What is the units digit of w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1761)\/1174*16\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gna when three letters picked without replacement from nnanngnadgagd?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57511633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -529 (c) 0 (d) -1.9 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*y + 56*y + y**2 + 2 + (3 - 10 - 8)*(3*y**2 + 2*y**2 - 3*y**2).\nAnswer: -29*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2\/7, 6, 1 in ascending order.\nAnswer: -37, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5 - 105*o**4 + 4162*o**3 - 30958*o**2 - 74817*o - 39593 = 0.\nAnswer: -137, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1060904*q*t**3 - 2*q - 3*t**4 - 14962135 wrt t.\nAnswer: 3182712*q*t**2 - 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -276, 1\/8, 6\/11, -4.1, 41\/4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1238 + 1238 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.91 + 0.91. Let s be 8\/3*(-1)\/(-4). Let x be (-2 - (-2 + 1))\/4. Which is the nearest to s? (a) 0.5 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 972 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 0.8. Let q = p + 5. Which is greater: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -60 - 65) + 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4075289653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 24*y**2 + 2*y - 3 - 2*y - 1. Let u(v) be the first derivative of -2*v**3\/3 + 2041. Determine u(g(j)).\nAnswer: -4608*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4416, -4415, -4414, -4413?\n\"Answer: b - 4417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + q = -3*b - 9, -3*q = -3*b - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10860\/1629*(-1)\/((-5)\/9)*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 109*v**2 - 938*v + 14640. Calculate h(116).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-5*(10\/4)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33184 and 4320142?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/10)\/(((-4)\/4)\/(-5)). Let j be 23 - z\/((-7)\/2). Suppose 7*g - 4*d = 10*g - 54, d = g - j. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10086, 9812, 9538?\nAnswer: 9264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7378.\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/409 and 133\/1170558.\nAnswer: 1170558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**2 + 1 + 1\/3*f**3 + 0*f. What is the second derivative of q(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 446836498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 157*i - 1840. Determine z(-168).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 6*u**2 - u**2)*(-12*u + 20*u - 34 - 7*u)*(u - 2*u + 0*u)*(-4 + 1 + 5)*(-3 + 1 + 0).\nAnswer: 8*u**4 - 272*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**2 - 55 + 55)*(17 + 27 + 21)*(-2*r - 2 + 2 + 4).\nAnswer: -1040*r**3 + 2080*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21010 + 47454. List the prime factors of f.\nAnswer: 2, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g, -2*u - 3*g = -11 - 5. Let v be -2*(7\/2 - u). What is v rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 2. Suppose 2*n**3 + 1 + 2*n**4 - 2*n + q + 2*n**3 - 2*n**5 - 4*n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1805 by 4946.\nAnswer: 1805\/4946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + q - 3)*(-4 + 5 + 1)*(-1 + 2 - 3) + 3*q + 15*q - 8*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(117) + 5)**2 - 1*(2 + sqrt(117) + sqrt(117)))*4.\nAnswer: 72*sqrt(13) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/7, -11, 1\/4, 1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + n = -y - 24, -2*y + 12 = 2*n. Calculate the remainder when 16 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24746?\nAnswer: 2, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42097224 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:14 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369601 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/39)\/(11\/((-572)\/56))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -35 * -0.03\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 12 in descending order.\nAnswer: 12, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 11*z**2 - 2*z - 3. Let o be u(11). Let k = -11 - o. Calculate the lowest common multiple of 2\/(-6) - (-21)\/9 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g - 224. Let j(s) = -5*s + 75. Let d(y) = -8*j(y) - 3*w(y). What is the tens digit of d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 42 = -2*k, 9*k - 12*k + 95 = -2*j. Suppose d + 32*x = k*x + 153515, -2*d + 307020 = 4*x. What is d rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 4*o = -330. Calculate the lowest common multiple of 12 and o\/(-9) - (-1182)\/18.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(9\/3)\/12*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let d(t) be the first derivative of -2*t**3\/3 - 3. What is d(p(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/3, 180, 4.\nAnswer: -2\/3, 0.5, 4, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/25, -46\/5, -60, -1 in decreasing order.\nAnswer: 2\/25, -1, -4, -46\/5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 2*b**2 + 2. Let h be s(2). Suppose -3*k + 4*m = -h*k - 75, -k - 2*m = -57. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 32*z = -96 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = s - a + 2*a, 3*s - 810 = 2*a. Does 45 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-67066.\nAnswer: 335330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 283406, 283385, 283356, 283319?\n\"Answer: -4*o**2 - 9*o + 283419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371*z**5 - 1943*z wrt z?\nAnswer: -7420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322761407.\nAnswer: 322761407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 257\/13 != 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:43 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 25*i**2 - 82*i - 38. Let u be g(21). Solve 4*v + 4 = u*r, -v = -r + 4*r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47773, 47791, 47809, 47827, 47845, 47863?\n\"Answer: 18*q + 47755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w = -73*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122112102 - 0?\nAnswer: 122112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.41998805 - -20.36399. Let p = l + 0.056. What is p rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**3 - a**2 + a - 7. Let i be y(-3). Let x = i - -422. Let r(m) = -1. Let j(t) = 2*t - 5. Give x*r(v) + j(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 37779957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/2 - m**4\/4 - m**3 - m**2 + 39*m + 8. Determine r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/5)\/y**(-2\/9))\/(y**(1\/12)*y*y**6))**(12\/7) assuming y is positive.\nAnswer: y**(-1199\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 5*f**2 - 21 + 12.\nAnswer: 5*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 116 = -2*z, 22*z - 225*x - 60 = -226*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 365851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o + 13. Let j = 2218 - 2209. Let k(l) = -11*l - 26. Determine j*d(m) + 4*k(m).\nAnswer: m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -x, -5*x = -2*x - 4*s - 21. Suppose 0*n + n + v = -2, -8 = 3*n + 4*v. Put x, -2, n in descending order.\nAnswer: x, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/302*1)\/(123\/(-82)). Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 1347, 2171, 3103?\nAnswer: 4143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82926 divided by 27642?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = 3*o, k + 18 = 4*o - 2. Suppose k*l + 3 = -l. Let i be 1\/3 - 2\/l. Let a(b) = 9*b**3 - b. What is a(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 3*b + 2. Let l(r) = -r**3 + 4*r + 2. Give 6*a(s) - 5*l(s).\nAnswer: -s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-530)\/15)\/(-4 - 116\/(-30)). Let t = l + -265. Let a(m) = m. Give a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5\/2 + 23*j**4\/2 - 95*j**3\/2 - 71*j**2\/2 + 21*j = 0.\nAnswer: -7, -1, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 330858823613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(1794\/23)*(-12)\/10)\/(14\/45).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 40*l + 262. Let h be d(-6). Suppose 5*m - 2900 = -5*r, 0 = -h*r + 27*r - m - 2888. What is r rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.021 + 20.979. Let n = -21.000088 + a. Round n to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/54 - 4\/18. Solve -3*f - 3 + 6 = g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/6 and 79\/1582470.\nAnswer: 1582470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43977.5 rounded to the nearest 100?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9902821 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from gagea?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1053) + 1)*5 - ((1*sqrt(1053) + sqrt(1053) - sqrt(13)) + sqrt(26)\/(sqrt(2)*2 + sqrt(2)))**2*3.\nAnswer: -35077\/3 + 225*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000899 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/10)\/((-441)\/70). Let q = -102 - -101.7. What is the biggest value in -0.1, 0, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c + 6. Let h be x(-5). Let j = h - -23. What is the greatest common factor of 72 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38440\/(-100))\/62*5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4791680993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 8*v - 15. Suppose 0 = 5*p - 16 - 4. Let b be ((-1)\/2*0)\/1. Sort b, p, v in descending order.\nAnswer: p, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f**2 + f**4 + 3*f**2)*(-1 - 2 + 5) + (f**2 + f**2 - 6*f**2)*(-7*f**2 + 3*f**2 + 3*f**2))*(0*f - 3*f + f).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 3045.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13319 - 13319 - 4*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from {d: 1, i: 6, h: 1, a: 3, k: 1, q: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2475.3 - -2475.7. What is the third biggest value in -5, 3\/382, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2718 and 5889.\nAnswer: 35334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 - (0 - 0)*4\/8. Suppose -6*c = -h*c + 938. What is c rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -p, 2 = 5*h - 8. Suppose p*c - 16 = 4*z, 2*z + 0 = -4. Let g = -14\/5 - -108\/35. What is the nearest to g in 1, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1296))\/(6*sqrt(27)))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*t + 1. Suppose m + t*p - 3 = 4*m, -4*m + 2*p = -6. Suppose m*y + y - 140 = 0. Calculate the remainder when 110 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + v, -2*v = -4*c + 32. Solve -3*m = -m + c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13442896 to the nearest integer?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2 + m. Let l be u(-1). Solve -t = -l*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 28 = -2*n - 13*b, -2*b - 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/24 - 31*y**3\/3 - 2*y**2. Let m be s(-9). Let x(b) = -53*b**2 + 3*b - 4. Let n be x(1). Is m at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1)*1\/(-2). Let c = 287\/2 - 859\/6. What is the fourth smallest value in 5, c, w, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -67, 7 in descending order.\nAnswer: 7, 5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = 24. Suppose -5*n = -q*n + 3. List the prime factors of n\/7 - 90\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/11 and -186.96 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9601, -1, 8434?\nAnswer: 9601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071791718 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 8:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2433129832 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299991 + -101614. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -863 + 856 + (-1 + 1 - (1 - 4) - -42).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43368570*h + 43368398*h - 12556 for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/11*23375\/(-223125).\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 3*m - 6*o, 5*m = -3*o + 2. Sort 3, 0, m, 23.\nAnswer: 0, m, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/27 - (-1)\/(-3). Suppose m = 3*q + l - 56, -3*l = q + 4*q - 92. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-26) + (-2)\/(-4). Suppose -12 = -y*x + 3*x. Which is the second biggest value? (a) 3 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2716 divide 204764501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113.925 - 1.075. What is the fourth biggest value in f, -0.2, 3, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.060433014237434 and 4?\nAnswer: 4.060433014237434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 - h - 4. Let s be x(-6). Which is the closest to s? (a) -0.1 (b) -2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8339286 and 18477?\nAnswer: 25017858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -34*g**3 + 3*g + 4. Calculate the remainder when 130 is divided by j(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 6*z - 106. Let j be 273\/(-12) - (-5)\/(-20). Does 51 divide m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1088)*-2 - (3 + (-2*sqrt(1088))**2 + sqrt(1088)).\nAnswer: -4355 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*y)*(-103*y + 217*y - 96*y + 5) as g + n*y + q*y**2 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let d(o) = -5*o. Let w(k) = d(k) - 4*j(k). Let i(q) = -q**3 + 2*q**2 - 6*q. Determine -i(u) + 5*w(u).\nAnswer: u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-954)\/(-165) - 19\/95. Let d = -24\/11 - a. Put 0.03, 5, d, 2 in descending order.\nAnswer: 5, 2, d, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -3*p**8\/14 + 7*p**4\/12 + 2*p. What is the third derivative of d(a) wrt a?\nAnswer: -1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*d = 5*o + 22, -5*o + 4*d = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-37)\/(-13) - 4879\/533\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. What is the common denominator of (-2)\/(-17 + g) + 3656\/(-320) and ((-10)\/4)\/((-11)\/(-6))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/735 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d8447 (base 14) in base 10?\nAnswer: -1597855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 11:30 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*v + 4*v - 4*m, -3*m + 19 = -v. Is (v - -11393)*(-33)\/(-77) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/203951 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -10 (c) -1.47 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t)**31)**(4\/3)*(t*t**5\/t)\/(t**(2\/9)*t)*t**2\/(t\/(t*t\/t**2*t)) assuming t is positive.\nAnswer: t**(-692\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3705 divided by -285\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.599*-1422.\nAnswer: 30713.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 12631.\nAnswer: 12634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -164a44 (base 12) in base 16?\nAnswer: -5d2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 826066395 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.10293, -3, 1 in ascending order.\nAnswer: -3, -0.2, 0.10293, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t + 3. Let x(m) = m + 1. Let j(a) = -o(a) - 6*x(a). Let c be j(-7). Let h be (-4)\/(-3) + 2*-1. Is h greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000265 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4503196.\nAnswer: 2, 37, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140119 and 1036?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 - 90*d**3 - 3*d**2 + 90*d = 0. What is d?\nAnswer: -1, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-60) - ((-6366)\/10 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - 12*r - 2. Let l(a) = a**2 + 6*a + 1. Let f(i) = -2*l(i) - x(i). Let b(s) = 142*s. What is b(f(c))?\nAnswer: -852*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-35))\/(2195\/15365)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76373238335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 1 (d) -251\/4 (e) -1\/2 (f) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22\/5 + 144\/35. Let z = -27 + 41. Let h = -13.7 + z. Which is the nearest to -1? (a) 2 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2. Let i(y) = -24512*y. Calculate i(z(o)).\nAnswer: -122560*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (26*7214\/(-48)*2)\/((-4)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 10129766390424?\nAnswer: 10129766390420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by 99.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*k - 5281550 = 1419742. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 12. Suppose -2*w + 3*i = 4, 0 = -w - w - 5*i - 20. Sort w, -3, x in descending order.\nAnswer: -3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -30. Suppose 9*w = c*w - 190. Let k = -22 - w. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1237996, -1238019, -1238044, -1238071, -1238100, -1238131?\nAnswer: -1238164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648078.6 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-430 + 426 - (-1 - (1 + 8))) + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = -7*o + 358 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1475*n. Let d(k) = -2907226*k. Give 3*d(p) - 5912*f(p).\nAnswer: -1478*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 18*x + 27. What is the remainder when f(14) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014898 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52, 454, 1552, 3694, 7228, 12502, 19864?\n\"Answer: 58*o**3 - 4*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -4 (c) 5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 50 = 4*t. Let v = 4 - 7. What is the smallest value in -4, 0.2, t, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 + 64*o + 201 = 0. Calculate o.\nAnswer: -3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-4) - 3910\/(-680). What is the smallest value in -6, -2, f, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5 - 1, u = 5*v + 9. Sort 3, -3, u in descending order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-28) + 74\/(-14). Does 11 divide (-3)\/5 - 58\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 370, -1, -5 in descending order.\nAnswer: 370, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3062552 + 65?\nAnswer: -3062454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196724, 393456, 590188, 786920, 983652?\nAnswer: 1180384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -14929084.\nAnswer: 2985816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(2 + (sqrt(325))**2) + sqrt(78)\/(sqrt(12)\/sqrt(2)*-4).\nAnswer: -sqrt(13)\/4 + 1308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18822 (base 9) to base 7\nAnswer: 53036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 19 - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6361 + -6351. Which is the closest to -0.1? (a) -1.2 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/2 (b) 87 (c) 176 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75\/44 + 16\/11. Let o = -0.69 - -0.79. Which is the second biggest value? (a) -4 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*w - 4*w**2 + 0*w**2 + 108*w + (w + 0*w + w)*(5*w - 4*w + 0*w) + w**2 + 2*w**2 - 2*w**2 + w**2 - 7*w**2 + w**2 to l*w**2 + y + b*w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 360531279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21758475 minus 5?\nAnswer: -21758480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, 0, -5 in ascending order.\nAnswer: -5, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - 45. Suppose 5*q - b = -0*s - 4*s, 2*q - 2*s = 10. Suppose z = -2*x - 3*z + q, -x - 5*z - 8 = 0. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7731, 15455, 23177, 30897, 38615, 46331?\n\"Answer: -j**2 + 7727*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52150000 rounded to the nearest one million?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.95 - -0.05. Let c be 3*2 - (-3 - -5). Let j = -2.3 - 2.7. What is the closest to c in j, u, -1\/12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (sqrt(77) - (-1*sqrt(77) + sqrt(77))*-1)\/sqrt(11))**2.\nAnswer: 16*sqrt(7) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -103040, -103004, -102968, -102932, -102896?\n\"Answer: 36*r - 103076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 949037*z**6 + 68*z**2 - 45*z - 35.\nAnswer: 113884440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n - 5. Let w(h) = h + 2. Calculate 3*k(b) + 7*w(b).\nAnswer: 3*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12226 divide 690693062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3434 = 622*z - 15874 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6304, -4, 5, -7, 0, 4, 1.\nAnswer: -7, -4, 0, 1, 4, 5, 6304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18624*w = 18619*w + 60 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1))**(-39)\/(b**(-1\/7)\/(b*b**(-2\/3))))**(-23\/4))**(1\/9) assuming b is positive.\nAnswer: b**(-19067\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4525 + 6021. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*z + 8, -3*z - 5*f = -2*z + 11. Let w = -27 + 99. Suppose -4*h - 161 - w = -3*x, z*h + 150 = 2*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33a49 (base 12) in base 14?\nAnswer: 1b169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 9:46 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67438 + 7970*g + 779*g - 70867 wrt g?\nAnswer: 8749","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/11 + 1219*l\/11 - 1220\/11.\nAnswer: (l - 1)*(l + 1220)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4548 rounded to 2 decimal places?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1134322 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-2)\/4)\/(5\/700))\/(-1). Suppose -67 = c - g. Factor c*y**2 + 13*y - 8*y + 4*y.\nAnswer: 3*y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138\/(-12)*2*-1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 45*r**2 + 173*r - 56. Determine k(8).\nAnswer: -2576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37260 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 0 + 0*c**2 + c**3 - 3*c**2 - 6. Calculate the least common multiple of i(5) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -206*f**2. Let x(k) = -3*k**2 - 3*k. Calculate x(q(u)).\nAnswer: -127308*u**4 + 618*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (26 + -12)) + 8 + -13 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*m = 2, 6 = 117*c - 120*c - 5*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2044, 2179, 2316, 2455, 2596?\n\"Answer: x**2 + 132*x + 1911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -121 + 14 + 37\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513979*l = -54*r + 513978*l - 651, 0 = 4*r + l + 51 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5516*h - 5*u - 34 = -5517*h, 20*u + 142 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10452005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 834.67 + -831. Let t = i - 0.17. Let h = 3 - t. Which is the second biggest value? (a) h (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, -1, 0.4, 46, 1\/7, 10 in increasing order.\nAnswer: -7\/4, -1, 1\/7, 0.4, 10, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 1713*i**2 - 684082*i + 4307. Determine k(-1079).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 6. Solve r*v + 12 = v + 4*z, 0 = -3*v - 4*z + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqu. Give prob of sequence juq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 80572 to the nearest 1000.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71704343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 5. Let h be (-5)\/(5\/(-1 - -6)). Let j be n(h). Solve -2*l = 15 - j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + 4.46. Let h = 0.5 + n. Let t = 2.5 - 3. Which is the closest to 0? (a) -1\/4 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(304602\/8)\/(-3). Let b = a + -85301. What is b rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 38 (c) -2\/11 (d) -5.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3 - 0)*(1 + 0). Let f(r) = -4*r**2 + r + 4. Let d(j) = -j**2 - 2 + 2*j**2 + 1. Let l(a) = -5*d(a) - f(a). Calculate l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 10:25 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -33 + 87. Let k be (-88)\/(-3)*z\/(-8). Suppose -2*a + k = -0*a. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 2. Let c be d(-2). Let i(k) = -k**3 + 5*k**2 - 8*k + 4. Let y be i(5). Let w = 72 + y. What is the greatest common factor of c and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from wpydpyppbydpptpyyyt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -32*v - 24. Let h be w(-3). Let i be h\/(-612) - 65\/1972*-2. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4)\/((-2)\/(-2)). Suppose 0 = -c - 0*i - y*i + 70, 2*c = 2*i + 180. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*c - 23 = 0, 4*y - c = 3*c + 4. Suppose 5*m + 595 = 4*g - g, -y*m - 323 = 5*g. Let o = -71 - m. Solve -2*s + 8 = -2, o = 5*a + 5*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 3. Let m be p(2). Which is smaller: 2\/21 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:32 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 bigger than 3042\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**2 + 16*j + 313. Calculate c(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -89949?\nAnswer: 89954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from ssfsfs.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(3*h + 3*h - 5*h) - 403685 + 6435*h + 403685 to the form p*h + o and give p.\nAnswer: 6437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.66004 + 0.1?\nAnswer: 10.76004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104478*d - 2*d**2 - 104491*d + 208969*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*q + 12, 5*q + 14 = -5*x + 39. Solve 16 = -q*o - o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 22 = 3*y, -2*y = 2*f - 7 - 7. Suppose 9*u = 7*u + y. Suppose 5*v = u*x - 232, -x + 2*v - 3*v + 67 = 0. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 94*a + 644. What is the remainder when m(7) is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 968575308?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**4 - 3*w**3 - w + 1. Let u(k) = 11*k**4 - 225*k**3 + k**2 + 6*k - 23. Let q(j) = -6*o(j) - u(j). Find the third derivative of q(d) wrt d.\nAnswer: 24*d + 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/((-2730)\/63))\/((-213)\/10).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55846040 rounded to the nearest one hundred thousand?\nAnswer: 55800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 1. Let z(y) = -20*y - 2. Let x(i) = 17*n(i) - 6*z(i). Let r be x(9). Suppose g + 3*k = 5, r = g + 8*k - 4*k. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 0.022.\nAnswer: -8, -3, 0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 443 + 1717. Calculate the remainder when w is divided by ((-7)\/2)\/(5\/(-70)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24055.4 to the nearest 100.\nAnswer: -24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5759 and 1772.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.039 - 0.076. Let y = 85249 + -85253. Sort z, 1, y, 0.3 in ascending order.\nAnswer: y, z, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -4?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-34)\/12*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111001110100001 (base 2) in base 12?\nAnswer: -30115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g + 0 + 1\/6*g**4 + 6*g**2 + 1\/6*g**3. What is q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - 0.09. What is the second biggest value in 5, -1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 1. Let u be -11*(-6 + 5) - 2. Suppose d - 6*d + 18 = 4*m, -2*d - m = -u. What is h(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(68)\/(sqrt(16)\/sqrt(4) + sqrt(4)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -69\/5 (b) 3 (c) 13 (d) 151 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(448) + sqrt(448) + -2 + -4)**2.\nAnswer: -128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 23. Let z = 2\/45 - -13\/45. Let u = -1.541 - 2.459. What is the closest to z in u, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 6) + -1 - (10 + (2 - 4) + -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 367935935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i - 84. Calculate the remainder when 14 is divided by a(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4247 - 7433 = -9*g - 1249. What is the remainder when g is divided by 384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1 - 14\/(-6). Let a be (16766\/110)\/(-1) - 6\/33. Let c = a + 152. Put 0.4, c, q in descending order.\nAnswer: 0.4, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n - 6. Let u be d(5). Let g = u - 49. Is 3 a factor of ((-115)\/g - -5)*-20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/5 - 2*b**4\/5 - 18*b**3\/5 + 18*b**2\/5 = 0. Calculate b.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 955*b**5 + 3484*b**2.\nAnswer: 57300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89*j**4 - 9*j + 2294 wrt j?\nAnswer: 356*j**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnmmmnnnm. Give prob of sequence nn.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201093.\nAnswer: 3, 17, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 185*s**3 - 8*s**2 - 48. Let z be p(7). Suppose 7*m = 22*m - z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13500*u**4 + 18500400*u**3 - 9053349120*u**2 + 1815074865472*u - 115899400215616.\nAnswer: -4*(u - 118)*(15*u - 6262)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 17*l**2 - 20*l - 96. Let o be b(-9). Solve 10*n - 15*n - 2 = -2*a, 4*n - o*a + 3 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-22)*y)\/y**(-1\/5)*y**(-6\/5)\/(y*y**(1\/19)))**(-18\/5) assuming y is positive.\nAnswer: y**(7542\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - 16. Let p = c - -229. What is the greatest common factor of 54 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39756217 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012.165 litres in millilitres?\nAnswer: 3012165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = 0, 2*l - 3*l = -3*m + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 192572818 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*q**2 - 1 + 1 - 129*q**2 + 287*q**2 + 2*q.\nAnswer: -10*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-6))\/(j**(-5\/3)\/j))**(2\/81)\/(((j*j**5)\/(j**7*j))\/(j**6*j**(-7))) assuming j is positive.\nAnswer: j**(307\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1938558\/54825869 - 4\/88003. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + (-1 + sqrt(1300) - sqrt(1300)) - sqrt(1300)))**2 + -5 + -3 + -3*(-4 + sqrt(1300)*-2).\nAnswer: 80*sqrt(13) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 337*n*x + 69*n*z**3 - 3280*n - 31*x**2*z**3 + 4*x**2 wrt x?\nAnswer: 337*n - 62*x*z**3 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 35. Suppose -4*j = m - 29 - z, 0 = -5*j + 5*m + 80. Suppose 3*s = 4*s - 5*y + j, 0 = -5*y + 20. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-56)\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 82398?\nAnswer: 82395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 67*g**2 + 60*g - 176. What is the remainder when l(3) is divided by 108?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3.3, -0.2, -3 in descending order.\nAnswer: 0, -0.2, -3, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-26)\/(-12) + -2). Let s = 42689\/9 + -4743. Which is the closest to 1\/4? (a) t (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*q = 2, 0 = -4*v + 8*v - 3*q - 3. Which is smaller: 1\/132 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 0, 0*b - 28 = -4*b - 4*v. Find o, given that o + o + 12*o**2 + 0*o**2 - 7*o**b = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:40 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*b - 205*b + 4*b**2 + 87*b)*(2 + 2 - 6) to k*b + g + h*b**2 and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 102. Let q = -102 - -114. Calculate the highest common factor of q and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/24*(1 - 7). Suppose z*b = -5*f + 72, -5*b = -2*f - 3*f - 180. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -918918?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351376.\nAnswer: 2, 13, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 14 = -7*b. Let j = -7 + b. Which is bigger: j or -12\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**4 - 8535995*a**3\/6 + 1066996*a**2 = 0. Calculate a.\nAnswer: 0, 3\/4, 2133992\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 + 221*r - 47. What is the tens digit of j(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54635 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1509*n**2*o**2 + 20*n*o + 2*o**2 wrt n?\nAnswer: -3018*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 5)*(1 + 0 + 1)*(1 + 2 - 2)*(3049*g + 76*g + 1940*g - 1023*g).\nAnswer: 48504*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207*h**3*l + 223*h**3*u - 497*h**2*l - 1820*h*l*u wrt u.\nAnswer: 223*h**3 - 1820*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3945 divided by -1315\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 17. Let r(a) be the first derivative of a**2\/2 - 8*a + 32. What is -6*c(f) - 13*r(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)*4*-5)\/(sqrt(99)\/(1*sqrt(891))).\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 37 + -7 - (27 + -34)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 55. Let c = v + 89. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j**2 - 10*j + 4. Let d(q) = -q**2 + 1. Let f(p) = 8*d(p) + i(p). Factor f(h).\nAnswer: 2*(h - 3)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/13068146 and 77\/6?\nAnswer: 39204438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1562491, 1562532, 1562573, 1562614?\n\"Answer: 41*l + 1562450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(2736) - sqrt(2736)) - (1 + -1*sqrt(2736)))**2 + ((-3 + sqrt(2736) + 0 + sqrt(2736))*-1)**2.\nAnswer: -24*sqrt(19) + 13714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 25181091.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:22 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y - 1. Let q(a) = a**2 + 3*a - 2. Let g be q(-3). Let v = 227 + -226. Let c(t) = t**2 - t - 1. What is g*l(z) + v*c(z)?\nAnswer: -z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 + 65*a - 16. Let v be u(10). What is the second derivative of v*c - 21*c**5 + 28*c**5 - 3*c**3 - 6*c**3 wrt c?\nAnswer: 140*c**3 - 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*2*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 552\/29 (b) -4\/2073 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3406 and 1898?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/20 - -3\/20. Which is bigger: g or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 43. Factor -o*b + 5 - 25*b + 5*b**2 + 38*b.\nAnswer: 5*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d. Let t be f(1). Let l(j) = -j**3 + 9*j**2 - 4*j - 2. Let z be l(t). Suppose -6*p + z = -p. Calculate the smallest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/70*(-14)\/(-10))\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -38. Suppose -4*t + 0*t = f. Is -4 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10\/(f**(2\/5)*f))\/(f**22)**42 assuming f is positive.\nAnswer: f**(-4577\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*q**2 - 360*i*q**2 - 112*q**2 with respect to i.\nAnswer: 2*i*q**2 - 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-2 - 3) + (11 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2. Let d(j) = -62*j**2. Give d(t(w)).\nAnswer: -558*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 14*l**2 - 64*l + 96.\nAnswer: -(l - 6)*(l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -6470?\nAnswer: 6465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 11:54 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (6 + (-2873)\/2)\/(2\/(-11 + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - 5. Let j = i - -30. What is the smallest common multiple of j and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let l be -2 - 2\/(-5)*-5. What is the second smallest value in -2, h, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5305972+0.84\nAnswer: -5305971.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 16. Let u(h) = 2*h**2 - 10*h + 35. Let x(n) = -3*n**2 + 14*n - 49. Let q(b) = 7*u(b) + 5*x(b). Give v(q(i)).\nAnswer: 5*i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 0*s + s)*(2 - 8 + 2)*(4*s - 3*s + s)*(-2*s + s + 3*s)*(4*s - 5*s + 4*s) in the form y*s**3 + d + u*s**2 + a*s + o*s**4 and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1531416920 to the nearest one million.\nAnswer: 1531000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 22*d**2 - d - 43. Let a(m) = 2*m - 1. Let l(r) = 2*a(r) - j(r). Is l(-21) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(5*10\/(-25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 785*-0.03.\nAnswer: -23.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:50 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5054226?\nAnswer: 2, 3, 842371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 499600021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-27) + (-292)\/18. Let c(d) = -8*d - 13. Is c(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204105553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 39*f**2 + 72*f - 59. Let v be q(-37). Suppose -6*y = -5*y - 5*r - 23, 0 = -3*y + 5*r + 39. Solve v = -3*b, 3*t - 4*b - y = -3*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/(-1425))\/(((-351)\/45)\/(-13))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 608 times 0.1\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13335 and 485?\nAnswer: 1293495","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h - 10. Let d = -1 - h. Suppose 5*v - 6 = 2*v. Is v equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + i**2 + 0)*(-1 + 5 + 4)*(13*i - 14*i - 33*i) as d*i**3 + g*i**2 + h + j*i and give d.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30070558 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5441, 11803, 18179, 24575, 30997?\nAnswer: 37451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n - 8. Let x = -156 + 153. Sort -5, x, 2, n in decreasing order.\nAnswer: 2, n, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002107956 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13252*c + 725 = -13277*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.1, -437.6619, 1\/6, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 4*o - 4*o + (-3*o - o**3 + 3*o)*(o - 5*o - 6*o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 175 + 240 = 5*l, -166 = -2*l + 2*q. Suppose 86*u - 66 = l*u. What is the lowest common multiple of 8 and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.948 litres?\nAnswer: 3948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28567)\/106)\/77*8\/(-14)*3\/(-7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 8 = 0. Let y(r) = -4 - 1 - 8*r - 2*r**c + r**2 - 3*r. What is the tens digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2100544 and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.279617706 to three decimal places.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 13. Let d = -21 - -86. Calculate the highest common factor of f and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 196\/68 - 0\/(-1). Which is the third smallest value? (a) 12\/11 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.2 + -4.1. Let m = 0.8 - 1. Which is the closest to -1? (a) m (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -91. Let t = 15 - h. Suppose t*p - 2 + 6 = 2*n, 0 = n + p - 6. Solve 5*y = 4*m - n, -y = 2*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0.54. Let j = u + 0.0408. What is j rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30254, 120967, 272164, 483857, 756058, 1088779, 1482032, 1935829?\n\"Answer: 2*x**3 + 30230*x**2 + 9*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*l - 115*l - 54 = 0. Let r be (2 - -1) + (-2)\/1. What is the fourth smallest value in -1\/2, -2\/3, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -24 - (1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 3. Let s be w(6). Let u(c) = 2. Let l(o) = o - 3. What is s*l(x) - 5*u(x)?\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001022895487 rounded to seven decimal places?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1025, 1\/6, -2\/3, 18, 2\/5 in decreasing order.\nAnswer: 1025, 18, 2\/5, 1\/3, 1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 6*c. Suppose 3*n = 5*b + 21 + 12, -2*b - 6 = c. Let x be (-2)\/(-8) + (-1719)\/(-36). What is the greatest common factor of x and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252181698 and 618?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2f0c (base 16) to base 2.\nAnswer: -10111100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162273?\nAnswer: 3, 54091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 285? (a) -9\/22 (b) 0.169 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 25 = d. Let w be (-6)\/15 + 44498\/d. What is w rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 8, 623 in decreasing order.\nAnswer: 623, 8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(4\/29)*m*(m*m\/(m*m**9))\/m)\/(m**(-3\/5)\/m**(2\/13)))**(6\/5) assuming m is positive.\nAnswer: m**(-57774\/9425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1110111101100010?\nAnswer: 1110111101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/18)\/(8690\/474)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + 0.43. Let c = r + 24.62. Let p = c - 22. What is the nearest to -2\/3 in p, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 7:54 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s = 0. Suppose s = -2*c + 3*c - 41. Suppose 2*h - 19 - c = 0. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d - 4. Let g(t) be the first derivative of -t + 1. Let h(w) = -5*g(w) + p(w). Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/3 + 56672*d**2\/3 + 200845520*d\/3 + 802475584\/3.\nAnswer: 4*(d + 4)*(d + 7082)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (12 - 26) + 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*x + 70955 = 5334*x - 284188 + 48585 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 574234 or 574219?\nAnswer: 574219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**8\/1680 - k**7\/840 + k**4\/3 - 2*k. Let j(s) be the third derivative of v(s). What is the third derivative of j(a) wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992193277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2329 + -510. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51393472 divided by 28808.\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 + 3)*(-7*y - 7*y - 8 + 16*y - y).\nAnswer: -9*y + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 3\/13, 4\/1099, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2 + 10*v + 2 + 14*v**3 - 15*v**3 - 9*v**2 - 3. Give q(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4120*d**3 + 5*d**2 - 11*d - 354. Let u(y) = -4121*y**3 - 4*y**2 + 8*y + 358. Let c(o) = 4*b(o) + 5*u(o). Find the second derivative of c(v) wrt v.\nAnswer: -24750*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-13)*g)\/g**(-2\/17))**(-4\/9)*(g**(-2\/29)*(g**1\/g)\/g*g)\/(g**(-2))**(-26) assuming g is positive.\nAnswer: g**(-260842\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*a - 50 = -0*z, -104 = -5*z - 2*a. Let h = z - 15. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1794928.\nAnswer: -5384784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 4, 5\/2, 0, -1, -161?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3850 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -7. Let g be (z\/(-6))\/(4\/(-12)). Put g, 0, -3 in decreasing order.\nAnswer: 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1275*v - 1014 + 509 + 505 to the form q + a*v and give a.\nAnswer: -1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-40))\/(2\/(-26)) - 1?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -11*y + 13. Suppose -y*z - 5*v + 222 + 61 = 0, 5*z = -v + 457. Suppose 3*j - 185 = z. Calculate the remainder when j is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 372404*g**2*s**3 - g**2*s**2 - g**2*s + 2*g**2 + s**3 - s**2 - 2637 wrt s?\nAnswer: 2234424*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 6*z + 4. Calculate d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(52)*2)\/sqrt(4) + 2*sqrt(13)*3)**2 + 0 + 4*((sqrt(117)*-3)\/sqrt(9))**2)*-4.\nAnswer: -6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 + 366. What is the remainder when g is divided by (-68880)\/(-1500) + (-4)\/(-50)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 = h. Let f(d) = 2 - 99*d + 194*d - 97*d + 1. Calculate f(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 q when four letters picked without replacement from {j: 5, s: 2, p: 3, w: 3, q: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -72, -107, -138, -165, -188, -207?\n\"Answer: 2*y**2 - 45*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:12 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -0.3 (c) -40 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4520 and 23752600.\nAnswer: 23752600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:02 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q. Let z(p) = -4*p**3 - 5*p**2 - 5*p. Let i = 27 - 26. What is i*z(j) - 5*l(j)?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8878 and 2300?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence een when three letters picked without replacement from {i: 1, n: 1, r: 3, b: 3, e: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 3. Let t(q) = 9*q - 1. Let u be t(-1). Let i(h) = h**2 + 8*h - 14. Calculate the smallest common multiple of s and i(u).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813924?\nAnswer: 2, 3, 23, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -20*h + 420. Calculate the remainder when h is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - 17 - -15) + (1 - (-11 - -8)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 22*v**2 - 57*v + 359. Give j(20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 73 + (0 - 2) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/5)\/(-2)*5. Let t be 174\/(-10) - p\/20. Let a = 5 - t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3)\/(-2)*554. Suppose -3*m + 136 = k, 252 = 4*k - 3*m - y. Let u = -54 + k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8821 - 7689 = -283*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1 - 10*r - 4 + 2. Let g(f) = f**3 + 10*f**2 + f + 13. Let k be g(-10). Let z be (1\/k)\/((-6)\/18). Determine o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 160*h**2. Let l(g) be the first derivative of g**2\/2 - 2*g - 5955. What is l(f(b))?\nAnswer: 160*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 2*r**3 - r**3)*(-3*r - 1 + 0*r - r).\nAnswer: -12*r**4 - 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-120 - -40 - 38) + 27\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1089, 25 in increasing order.\nAnswer: -1, 0, 25, 1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from {m: 4, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1039 + -572. Is 37 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(648)*2 - sqrt(648) - (sqrt(648) + sqrt(648)*2*-2))\/((-6*sqrt(72)*1)\/(sqrt(968) + sqrt(968)*1 - sqrt(968) - sqrt(968) - sqrt(8))) + 2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000 (base 2) to base 4.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -337*h**7\/35 + 1769*h**4\/12 + 15*h**2 - 5*h - 2. Find the second derivative of b(c) wrt c.\nAnswer: -24264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231052.811 rounded to the nearest one thousand?\nAnswer: -231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12306.5*22.\nAnswer: 270743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 1, -0.17, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/4091 - -155323\/184095. Let j be ((-2)\/(-40))\/(-7 + 235\/40). Let g = y + j. Which is the third biggest value? (a) 1 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:50 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 84210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*k**2 + 139*k**2 + 4 + 4*k + 6 + 324*k**2 - 8.\nAnswer: 317*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 187532383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 = 8*r + 247 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6177, -6172, -6165, -6156, -6145, -6132, -6117?\nAnswer: -6100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36762 and 88.\nAnswer: 147048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-8 - (8 - 14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2074*o + 1697*o + 268*o**2 + 2*o**3 + 0*o**3 + 6740*o**4 - 6745*o**4 wrt o.\nAnswer: -60*o**2 + 12*o + 536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/210 and 169\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 24028*g**2 - 62*g + 4. Determine t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6963)\/9284*((-48)\/603)\/(-2)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 566, 1151, 1738, 2327, 2918, 3511?\n\"Answer: u**2 + 582*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(245)*-3*1*-5)**2.\nAnswer: 882000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05593031 < 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*p**3 - 251*p**2 + 93*p**3 + 251*p**2 - 179*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 34 + 14 = -5*t, 3*t = -4*n - 17. Which is the second smallest value? (a) 2\/7 (b) 1\/4 (c) 1.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23599192 to the nearest integer?\nAnswer: 4858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -272, -1008, -2122, -3524, -5124, -6832?\n\"Answer: 15*n**3 - 279*n**2 - 4*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**6\/40 - 2223*h**5\/40 - 549081*h**4\/16 - 92*h + 20. Factor q(d).\nAnswer: -3*d**2*(d + 741)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 84.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 2*m - 1. Let g be u(5). Sort -1, g, -2 in descending order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 3, q: 2, b: 2, z: 8}. Give prob of sequence ffbv.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 798*h**3 - 2*h**2 + 37*h + 18 wrt h.\nAnswer: 4788*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 8*l - 4. Let z(g) = 7*g**2 - 15*g + 8. Let o(t) = -5*x(t) - 3*z(t). Let k be o(3). Solve 0 = w - 4*i + k - 7, -4*w = -3*i + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 9*p + 198. Let u = 2390 - 14219\/6. Calculate the common denominator of 3\/((-30)\/25)*(-213)\/p and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6843 = -73*d + 6113 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u*u**(2\/15)*u*u))*u**(2\/13)*((u**8*u)\/u)**0)**(-5\/3) assuming u is positive.\nAnswer: u**(-1031\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**5 + 5*d**4 - 2*d**2 - 49.\nAnswer: 540*d**2 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*x + 2*z + 1340 = 0, -18158*x + 18163*x - z + 65 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -18 - (-7 + 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-3 + sqrt(11) + 1 + (sqrt(110) - (sqrt(110) + sqrt(110)*-1))\/sqrt(10)).\nAnswer: -30 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13613?\nAnswer: 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 245137\nAnswer: 2\/245137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2621*z**2. Let p(c) = -2*c**2. What is g(p(x))?\nAnswer: 10484*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -228*c - c - 33*c + 4454 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 212178*g**2 - 97397 wrt g.\nAnswer: 424356*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*30\/(-36)*-9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16715.7722 times -0.4?\nAnswer: 6686.30888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - -3) + (-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1080 = t, -t - 4*s + 856 = -199. Suppose 100*l - t = 95*l. What is the greatest common factor of 43 and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + -15628278.\nAnswer: -15628277.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15596 by 14.\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1112*a**3 + 4*a**2 + 26040*a wrt a?\nAnswer: 6672*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*t**2 + 370*t**3 + 244 - 371*t**3 - 258 to i*t + b + g*t**2 + f*t**3 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.06858?\nAnswer: -0.41148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 224743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 10*j**2 - j - 5. Let b be f(-10). Suppose b*y = k - 4*k + 24, 3*k = 3*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1.31?\nAnswer: 0.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q. Let b(d) = -215*d - 56. What is j(b(n))?\nAnswer: -430*n - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*n + 28*n + 18*n. Solve n*q - 4 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 4*z - 78. Let q be b(-7). Let t be q\/(-15)*4*(-5)\/90. Factor 4 - 16\/3*x + t*x**2.\nAnswer: 4*(x - 3)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/12 + 2*b**3\/3 + b**2 + 38*b. What is q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 178 = 2*s. Let d = s + 154. Calculate the greatest common factor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -x, -5*x + 5 = -c + 6*c. Let y be (-12 - -5)*(1 + x). Which is smaller: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 4\/15, -4, -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {w: 4, z: 3, v: 2, q: 1, g: 2, t: 8}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or -5506202?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2038 + 412 = 124*v - 369*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15874*v**3 + 2*v**2 - 1263.\nAnswer: -95244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2925*c**2 - 8762*c + 13. Determine g(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 57.768. Let w = -1.2 + g. Round w to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9)*66 - -3. Let x(n) = 2*n**2 - 98*n - 89. Is x(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5613849 rounded to the nearest 10000?\nAnswer: 5610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 645, 1395, 2445?\nAnswer: 3795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 43362 divided by -61\nAnswer: -43362\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2 + 2*d + 4. Let y be z(-3). Let v be (1 - 2)\/(-1) + y. Which is the nearest to -2? (a) v (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -31*v + 56. Suppose 4 = g + 3*w, v*w - 3 = -2*g - 1. Put -1, -6, g in increasing order.\nAnswer: -6, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24969 + 24967. Let q be (-231)\/(-12)*(-3 - 1). Put 2, q, h in decreasing order.\nAnswer: 2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/1626543 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/12295391 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 + 25012*k\/3 - 250145\/6.\nAnswer: (k - 5)*(k + 50029)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s + 5. Let r be c(0). Suppose -156 = -r*d - d. What is the first derivative of -d*f + 31 + 0 + 9*f - 7 wrt f?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28808900 to the nearest integer?\nAnswer: 5367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 52*k + 484. What is i(41)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (40 - 20 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*h**2*p - 109*h**2 - 5154*p with respect to h.\nAnswer: -84*h*p - 218*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -384 + 184. Round r to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 5. Let c(j) = -j + n + 3*j - 10*j**3 - 2*j. Determine c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 161 + 107 = -16*o, -3*m = 2*o - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w - 5 + 2 - 13*w.\nAnswer: -23*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/(-5))\/(3\/(-2) + 0). Suppose 2068 = v*k - 1688. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 27. Let t be u(5). Let n(w) be the first derivative of -t - 9\/2*w**2 + 0*w + 0*w**3 + 9\/4*w**4. What is the second derivative of n(k) wrt k?\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 5, y: 3, z: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 - 10*y**4 - 68*y**3 + 1000*y**2 - 2944*y + 2560 = 0. What is y?\nAnswer: -10, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2\/21*w**5 - 212\/7*w**3 - 20\/7*w**4 - 1958\/7*w - 1452\/7 - 2896\/21*w**2 = 0.\nAnswer: -11, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3 - w**2 + 2*w = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75 - (5 + -4 + 2). What is the common denominator of (13\/(-4))\/(l\/(-64)) and 97\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/30 - a**3\/6 - a**2. Let q be f(1). Calculate the remainder when 22 is divided by (-142)\/(-12) - q\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 77629105\/51870 - (-4)\/(-38). Let b = k - 10467\/7. Find the common denominator of b and 76\/15.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + 2df?\nAnswer: 2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -64*l. Let t(j) = 676*j**2 - 272*j. Calculate b(t(y)).\nAnswer: -43264*y**2 + 17408*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/2)\/(-9))\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*z + 123*z + 44 = -2*s, s = -20*z - 5 - 93 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 1.461.\nAnswer: 1.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 252*n**2 + 3264*n + 23120.\nAnswer: 4*(n - 34)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 346337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -0.12, 10\/107 in decreasing order.\nAnswer: 3\/10, 10\/107, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*p + 1, 3*l + 2*p - 25 = -2*p. Suppose -110 = -l*m - 2*m. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13406, -26619, -39856, -53117, -66402, -79711?\n\"Answer: -12*t**2 - 13177*t - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*c - 1607*c - 21868 - 19864 = 2538 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 at most 10654.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 27*u + 161*u = 8869871. What are the prime factors of u?\nAnswer: 53113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 24*l - 240. Calculate m(20).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 19 = -64*p - 67*p + 128*p, 2*p - 9 = 7*v - 0*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) + -134*(-9)\/(-30). Let j be ((-17)\/4)\/((-2)\/t). Does 15 divide (1 - 4) + 0 - -5 - j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 308201664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z**4 - 2*z**3 + 2*z**2 + 15. Let y = 17 - 18. Let u(m) = -m**3 + m**2. Let f(l) = y*g(l) + 2*u(l). What is the first derivative of f(b) wrt b?\nAnswer: -68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*(1 + 1). Let v be (-2 + 4\/8)*(4 + (-336)\/54). Which is the biggest value? (a) 3\/4 (b) v (c) s (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = -2*a, -4*a - 5*g + 2 = -11. Suppose -2*x = -a*f + 1237 - 4805, 1780 = -f + 2*x. What is the common denominator of 137\/6 and f\/(-32)*8\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2967294?\nAnswer: 2, 3, 11, 44959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(7\/(-2) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1738 times -0.3\nAnswer: -0.05214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-46)\/(-72)*9.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1005665792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 677 in -1\/3, -2, 3\/8788?\nAnswer: 3\/8788","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -499 - -431. Suppose 2*x - 35 + 243 = 3*l, 4*x + 406 = l. Let t = k - x. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**6\/60 + z**4\/6 + 9*z**2\/2 - z. Let t(s) be the first derivative of h(s). What is the second derivative of t(u) wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 - 69*l**2 + 33*l + 865. Determine i(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/(-1) + -5)*(3 - 4). Round l to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 36*b = -224. Let l = 94 - b. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -168, -1\/4?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:03 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/3 of a minute in seconds?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*p - 4*n = -9*p - 4, -3*n + 15 = -3*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 2*n**2 + 3*n**2)*(-n**3 - 3*n**2 + 3*n**2) - 8675*n + 8675*n - 2079*n**5.\nAnswer: -2081*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 167320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15421 is divided by 1285.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*n - y + 9, -5*n = 3*y - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 18 + 6)*(2 - 1 + 2)*(13*b + 60 - 60).\nAnswer: 546*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*2\/45*5. Find the second derivative of -2 + 2 - c*i**2 + 0 + 5*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + r = 4*u + 4, -5*r - 2*u = 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 + w + 0*w**5 + 1\/12*w**4 - 1\/30*w**6 + 0*w**3 + 0*w**2. Factor b(g).\nAnswer: -g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92979?\nAnswer: 3, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7303817 and -0.15?\nAnswer: 7303817.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -5, -9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 132\/15 - (-12)\/60. Solve r*u = 4*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(45)\/(sqrt(9) + (sqrt(9) - 6*sqrt(9))) + sqrt(5) + -5)**2.\nAnswer: -35*sqrt(5)\/2 + 645\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8364 minus -5?\nAnswer: 8369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122005, 122090, 122175, 122260?\nAnswer: 122345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -2, -1, 6200, 0.\nAnswer: -9, -2, -1, 0, 3, 6200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 6 - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6\/11))**(-39)\/(k**(-2\/11))**(-5\/12))**(-16) assuming k is positive.\nAnswer: k**(-11192\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - s + 4)*(0 + 3 - 1) - 4*s + s + 6*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 48 (b) 0.1 (c) -8 (d) 5 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-3)*4\/(-10). Let g be (-1 + 2)\/(1\/3). Suppose -k + 3*k + d*s = 6, -s - g = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 15 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 125, 132, 143, 158?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 8*z**2 + 7*z - 11. Calculate a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/(18 - 10)*6\/(-52)*(-326)\/489?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 44 + 9)*(b + b - 3*b)*(-3 + 2 - 3 + (-6 + 2 + 1)*(1 - 3 + 6)) + 2*b - b + b to the form g + s*b and give s.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199573 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1125 = 14*z. Suppose -121*s + 116*s + z = 0. Let i be 1\/(s\/(-10) + -3). What is the third smallest value in 22, i, -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 - -2112212110200?\nAnswer: 2112212102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-31332)\/(-336) - 111).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1351944 divided by 396.\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 14) in base 11?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 at least 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*a + 3*p, -p + 2*p = 3*a - 23. What is the highest common divisor of a and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyykuyykyyyynn. What is prob of picking 1 k and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1209 - -1343. Which is greater: x or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21 - -11) + 13)\/(3\/2). Let q(x) be the third derivative of 0 - a*x**2 + 0*x - 1\/6*x**3. Let m(n) = -2*n**2 + 2*n - 5. What is -m(r) + 3*q(r)?\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1.729, 10, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -30*z. Let l(t) be the first derivative of 3*t**2\/2 + 23. Give l(i(s)).\nAnswer: -90*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.029, 2\/85, -0.2, -1\/2, -0.1 in descending order.\nAnswer: 0.029, 2\/85, -0.1, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {b: 2, u: 4, c: 4, r: 2, l: 6, n: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 46 + 17. Suppose 3*b - 93 = -72. What is the highest common divisor of b and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/45 + 4\/(-18). Let w be (g - 0 - 0)\/3. Suppose -o - 3*o + 20 = w, -2*o = n - 15. What is the second biggest value in n, -6\/11, -2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1735868244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -0.0076?\nAnswer: -0.0924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -45923328 divided by 43488?\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbtbcclllcb. Give prob of picking 1 b and 3 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1400))\/(sqrt(8) + -4*sqrt(512)) + (-5 + -4*sqrt(252) + sqrt(448)*2)**2.\nAnswer: 2485*sqrt(7)\/31 + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -61.7. Are -1\/7 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (12\/60)\/(2\/50)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*j = -72*j - 1776. Calculate the remainder when j is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 164*n**2 = 0. What is n?\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**2*h**6 + f**2*h**2 - 14*f**2*h - 148786*f**2 - 2045746*h**6 wrt h.\nAnswer: 360*f**2*h**3 - 245489520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186680323 to the nearest integer?\nAnswer: 13663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhhuhkhh. Give prob of picking 2 h and 1 k.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12218 + -0.07218. Let m = -0.2 - 0.3. Suppose -2 = 2*c + 2*r, -4*r + 2 = 5*c + 3. What is the second smallest value in t, c, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d747 (base 14) to base 13.\nAnswer: 8041a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1530*v**2 + 3044*v**2 - 1150 - 4*v + 4*v - 1518*v**2 in the form d*v + l*v**2 + x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 14 = -0. Suppose 0 = -5*x + 25, -4*x - 458 = -y*u - 24. What are the prime factors of u?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9137378.\nAnswer: 2, 29, 257, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1328674285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590794 is divided by 589878.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f**2 - 13*f + 10. Let l be n(-7). Solve l*a - 4 = -o, 2*o - o = -4*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -117*z + 3273. Determine c(35).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62570241 to the nearest integer?\nAnswer: 7910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -5, -23, -57, -113, -197, -315, -473?\n\"Answer: -j**3 + j**2 - 4*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14139, -53885, -120109, -212805, -331967, -477589?\nAnswer: -649665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48, -354, -660, -966, -1272?\n\"Answer: -306*y + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 divided by -29?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+-19944\nAnswer: -19943.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0. Let g be 1 + 2 + 68\/(-22). Which is the second biggest value? (a) x (b) -5\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4260 - -9.805045.\nAnswer: -4250.194955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 134 + 136 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -84. Let x(l) = -3*l**2 - l + 5. Let f be x(m). Suppose -1433 = -y + 2*u, -3*u = -f*y + 4691 + 2502. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -965 (b) -25\/3 (c) 5 (d) 4 (e) -5 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1253.8 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*g - 25032 - 29346 = 844*g for g.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (252 + -68 + 6\/3 + -2)*1. Let n = -40 - -80. Calculate the greatest common factor of n and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7381 = -2*i, -3*i - 21 = -15. Is m >= -1475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 718*t + t**2 + 713*t + 3 + 21.\nAnswer: t**2 - 5*t + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from zzfftnfnftnf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.4 + 45.6. Which is the nearest to q? (a) 0.1 (b) -0.1 (c) 0.04 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385 (base 10) to base 15.\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, m: 1, r: 4, t: 3, s: 2}. Give prob of picking 1 t and 1 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(-8 - 192\/(-30)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248880 and 3401360.\nAnswer: 10204080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (-17 - -24 - 4) + -8 + 6.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 745 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*s + 29*s - 1152. What is the highest common factor of 477 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 0*o**3 - o**3)*(-71 - 84 - 24)*(-1 - 1 + 1) + 4*o**3 - 3*o**3 + 0*o**3 - 1 + o**3 + 1 - o**2.\nAnswer: -356*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - f + 4. Give j(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*s - 83 = -z, 0 = 2*z - 5*s - 61. Which is greater: 70\/3 or z?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77\/216 - -1\/54. Let s = 0 - 0.2. Let a = -0.3 - s. What is the closest to a in 0.4, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57948 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2005, 2003, 2001, 1999, 1997, 1995?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 8*o - 22 - 14 = 3*n - 17*o, 3*o - 150 = 23*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2112000222010?\nAnswer: -2112000222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-408)*(-284)\/213.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -99.4?\nAnswer: -198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f - 1. Suppose -42 - 26 = -4*k. Let q = 22 - k. Let h(p) = -540*p - 20. Let j(l) = -190*l - 7. Let s(w) = 6*h(w) - 17*j(w). Give q*s(a) - 7*o(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3109*f*s*z**3 - f*s*z**2 - 7*f*s + 30*s*z wrt z?\nAnswer: 18654*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/(36\/(-810)). Calculate the common denominator of 89\/75 and 1 + 15\/(-4) + (-12)\/w.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + 2*y**3 + (41*y**2 + 1424*y - 1424*y)*(1 + y - 1))*(-477*y - 480*y + 957*y + 228*y**2).\nAnswer: 9804*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 at most as big as 521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00617694623 to four dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 36*w + 8349 = 0. Let y be (-2)\/7 + (-74)\/(-14). Let x(r) = r - 124 - y*r + w. Calculate x(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 256593781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2531*b + 235. What is the units digit of u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99045522 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 59250*r - 118508.\nAnswer: 2*(r - 2)*(r + 29627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 + 0)*(1 - 1 + 2) + 88 - 16 + 56)*(-2 + 2 + 9*q) to the form p + v*q and give v.\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*g + 63 + 43 = 0, -5*c + 5*g = -440. Suppose -2*t - t = -3*b - 51, 3*t - c = -5*b. What is the lowest common multiple of t and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 10 = 16*n. Which is greater: n or -120\/13?\nAnswer: -120\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e1300 (base 16) in base 2?\nAnswer: -11100001001100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7853.03 millilitres to litres.\nAnswer: 7.85303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) 1 (c) -3 (d) 284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 2*d**3 + 2*d**3)*(-2092*d + 1047*d + 7 + 994*d).\nAnswer: -153*d**4 + 21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 1 + 3 = 4*a, -v - 17 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - -10. Let n be z\/(-5) - 1 - 1. Let l = -408\/55 - n. Which is the closest to 0? (a) -0.2 (b) -1\/8 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Suppose 14*u + 125 = 9*u. Let z = 34 + u. Let n(w) = 19*w - 13. Let k(t) = -5*t + 3. Let l(r) = z*k(r) + 2*n(r). Calculate l(v) + 5*o(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 220*s**4 + 3*s**2 - 4*s + 16. Let j(p) = -437*p**4 - 7*p**2 + 9*p - 33. Let t(n) = -7*a(n) - 3*j(n). What is the second derivative of t(b) wrt b?\nAnswer: -2748*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 + 3 + (0 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 23*q**2 - 25*q + 42. Calculate the smallest common multiple of w(24) and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 46. What is the greatest common divisor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -144 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 19211463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:33 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 50 = y. Let d(j) = -j**2 - 12*j + 3. Let z be d(y). Solve 5*o + 2 = -z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3 (c) -1\/5 (d) -5\/2 (e) 5 (f) -1022\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i. Let t(d) = d**2 - 7. Let g(m) = -m. Let x(u) = 3*g(u) + t(u). Let h be x(5). Determine s(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-24) - 16\/(-128). Which is the closest to j? (a) 2 (b) 1 (c) -3\/5 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**2 + 193*z**2 - 45*z - 30*z**2 - 29*z**2 - 76*z**2 - 33*z**2.\nAnswer: 2*z**2 - 45*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i + 10. Let x be k(-5). Let o be (-2842)\/(-35) + (-8)\/x. Let s = 144 - o. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154002 (base 10) in base 13?\nAnswer: 55134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-216)\/(-52) - 2\/13. Suppose -14 - 18 = -c*n. Let f = n + -7. Solve 3 = -2*i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 4 - (2 + 5 - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15 + 20\/3. Let t be (-5)\/(-20) + f\/(-16). Sort -0.5, 4, t.\nAnswer: -0.5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2 - 156*x + 441 = 0. What is x?\nAnswer: 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 10.30599, -5 in increasing order.\nAnswer: -5, 3\/7, 10.30599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6182395?\nAnswer: 5, 1236479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 2*j + 13. Let v(b) = 3*b**2 + 5*b + 26. Calculate 5*f(w) - 2*v(w).\nAnswer: -w**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, u: 5, d: 1, q: 7}. Give prob of picking 1 q and 1 d.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 7}. What is prob of sequence jjjj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -6. Which is the second smallest value? (a) -0.1 (b) q (c) -2 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.2 - -8. Suppose -17 = -4*w + 5*i, 5*w - 4 = 3*i + 14. What is the fourth smallest value in -1, 1\/3, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1348549, -2697097, -4045645, -5394193, -6742741?\nAnswer: -8091289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665781 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 - -6?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15727 + 16100. List the prime factors of p.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 29. Suppose -n = -6*s - 0*s. Solve 0 = -w + q - 9, 2*q = -s*w - 1 - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26016?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-3) - (-86 - -50). Solve -44*n + 365 = h*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 5:59 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q - 12 = 84*q - 4*f, -18 = -q + f for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -43*z + 208. What is the lowest common multiple of 8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 164450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26151 - 29778 = -31*p. Solve 3*j = 12, w = -5*j - 95 + p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 + -229. Calculate the smallest common multiple of k and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(((-9)\/(-2))\/(-3)). Suppose 5*u - 3*a + a = -535, 4*u + l*a = -446. Let m = -97 - u. What is the greatest common factor of m and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 23390813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121868 is divided by 17370.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96622, 96623, 96624, 96625, 96626, 96627?\n\"Answer: n + 96621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p - 10. Let o be n(-7). Suppose 0 = -r - m - 2*m + 6, -4*r + 104 = -4*m. Suppose -r*x = -o*x. Solve x*t + 5 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -19) + (5 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d - 3. Let c be x(-2). Let a be 10\/4*2952\/30. Suppose -w + m + 754 = 2*w, -c*m + a = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8558984 + -1265684. What is z rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546 (base 14) to base 12.\nAnswer: 72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 - 34*t**2 - 46*t + 5. Let k be m(-6). Suppose -z = -5*y + 1069, 5*z - 368 = -5*y + 707. Let w = y - k. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 3*y**2 + 3*y - 7. Let g(u) be the first derivative of -u**3\/3 + u**2\/2 - u + 1824. Let a be (2 - 2) + -5 + 4. What is a*x(b) + 3*g(b)?\nAnswer: -b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 312522b?\nAnswer: -3125233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30779 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -240, -224, -182, -102, 28, 220?\n\"Answer: 2*h**3 + h**2 - h - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*m - 61777 + 16150, 3*s - 5*m - 45633 = 0. List the prime factors of s.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 24. Let x be 6\/p*(-8)\/(-2). Suppose x*u - 4*u + 11 = 0. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 10127732?\nAnswer: -19\/10127732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 16445\nAnswer: -2\/16445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1589*o**3 - 7154*o**3 + 1600*o**3 + 2377*o**3 + 0*o**2 + 1586*o**3 + 0*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -238*f**4 + 135*f**2 + 10*f - 5. Let v(w) = -358*w**4 + 202*w**2 + 16*w - 8. Let t(k) = 8*l(k) - 5*v(k). What is the third derivative of t(d) wrt d?\nAnswer: -2736*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 612, 5, 1, 22 in ascending order.\nAnswer: -11, -4, 1, 5, 22, 612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 3110 + 17730. Suppose 4*j + 0*b - 3*b - m = 0, j = -2*b + 643. List the prime factors of j.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b889 + -2?\nAnswer: -25b88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/2267059 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 1395825.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297808.\nAnswer: 2, 29, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -1, 4 in increasing order.\nAnswer: -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 28. Suppose 0 = -5*c - 5*i + 520, -c + 6*c - 527 = 2*i. What is the remainder when c is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2178400 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 504 + -499. Which is the second smallest value? (a) 0 (b) 13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5 + 5355*g**4 + 708050*g**3 - 5160810*g**2 + 8176025*g - 3728625 = 0 for g.\nAnswer: -915, -163, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) -3 (c) -2\/11 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -74\/29, -60, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65532 or 262125\/4?\nAnswer: 262125\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21165001 is divided by 340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**4 - a**3 - a**2 - 1. Let w(x) = -14*x**4 + 3*x**3 + 3*x**2 - x + 3. Let m(c) = 3*i(c) + w(c). Find the second derivative of m(o) wrt o.\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 5*z + 3. Let c be j(-5). Let -p - p**2 + p**4 + p**c + 89 - 89 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let u = 5 - h. Let s = -344908\/15 - -22994. What is the fourth smallest value in 7\/2, 5, s, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k, -p + k + 1 = -0. Let w(q) = q**2 + 5*q - p*q - q. Let l(u) = 5*u. Determine w(l(n)).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:08 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 + 282\/22. Suppose 2*v - u = -2*v + c, 2*c = -3*v + 7. Suppose r + 2 = v. Solve r = 5*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 23 = 5*w, b + 3*b - 5*w - 31 = 0. Suppose 4 + b = 2*z. Suppose 74 - 18 = z*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 10*x. Calculate the smallest common multiple of 57 and c(-3).\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-39)\/(-9))\/((-2)\/(-150)). Let o = -2924\/9 + s. Suppose 5\/9*m**2 + 1\/3 + 7\/9*m + o*m**3 = 0. Calculate m.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -296 at least as big as -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8770)\/50 - 2\/(-5). Let n = j - -376. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - ((3 - 1) + 1). Let h(q) = m - q - 3 - 2. Let z(l) = -l. Determine z(h(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, -4 in descending order.\nAnswer: 5, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 5166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329 - v**2 + 673 + 690.\nAnswer: -v**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 69*m + 42. What is the hundreds digit of y(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488309 is divided by 2202.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*n + 0*n - 14 = 0, 5*v - 11 = 4*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20307 and 7668.\nAnswer: 51904692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 402.78717537?\nAnswer: -403.28717537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6580)\/(-300) + -22)*-105?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 552 - 234. What is the least common multiple of y and 12?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (10 - 8))\/(-5*(-21)\/(-42))?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.6500102 to one dp.\nAnswer: 207.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 194128335 a multiple of 2631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 2*n, -5*f + 4 = -n - f. Suppose n*q = -2*q + 14. Suppose q*s - 385 = -4*s. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/96201 and 79\/9162.\nAnswer: 192402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/120 - w**5\/60 + 7*w**3\/2 - 64*w**2. What is x(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by -1185934.\nAnswer: 159\/1185934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*i = -0*i - 370, -y - 182 = 2*i. Let j = 208 + y. Solve 0 = -5*q + j - 44 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-30))\/(50\/375)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2108823729.439?\nAnswer: 2108823728.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76) - 3*sqrt(76) - sqrt(76)))\/(-5*2*sqrt(4))*-1.\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -865 - 1?\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*g = -18, 0 = -2*g - g + 9. Suppose 2*j - i = -7. Suppose 0*u = -5*u + j. Solve -15 = -v - u*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6)*2)\/(-5)*(-94624)\/(-17742).\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/104 and -37\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from nqansqasaqqooqqs?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*m**3 - 8*d**2*m*u - 2*d*u**2 + m**3*u - m**2 - 298*u**2 wrt d.\nAnswer: -4*d*m**3 - 16*d*m*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 79 = 5. What is the smallest common multiple of 14 and 6*b\/30*-2*15?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/538526880 and -29\/14171760.\nAnswer: 538526880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 55, 9, -4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7572 and 7.\nAnswer: -53004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066129553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 15*h + 220 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1263793390 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**4*p - 120072*m**3*p - 5*m**2*p + 76*m**2 - 531*m wrt m?\nAnswer: -120*m*p - 720432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 696133*b**3 + 16*b**2 - 17128987*b - 2 wrt b?\nAnswer: 4176798*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -37\/4, -1\/9, 1 in ascending order.\nAnswer: -13, -37\/4, -4, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 2*v + 24 - 14, 4*o = -8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(88) - sqrt(88)*-2*2 - (sqrt(88) - -2*sqrt(88)*-4)))\/((sqrt(48)\/sqrt(2)*3)\/(sqrt(21)\/(sqrt(7) - sqrt(28)))))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 4*l + 3. Let i be h(-4). Suppose -i*y = -0*y - 15. What is the first derivative of y*j**2 - 13 + 2*j**2 - 3*j**2 + 8 wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166125 and 1875.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(567\/(-4935)) + (-8)\/(-24) + -1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.19, 3, -5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 3 (b) -4\/3 (c) 242 (d) 2\/3 (e) -335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(320)*2)**2 + ((-2*sqrt(1000))\/sqrt(8))**2.\nAnswer: -3340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + 0.15. What is the biggest value in 0.5, q, -27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 4. Let z be (2160\/p)\/3*-1. Does 8 divide (4\/5)\/(8\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3))**37*(w\/(w**5\/w))\/(w\/(w*w**(-2\/19))) assuming w is positive.\nAnswer: w**(2753\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2676*c + 63. Let x(j) = -1784*j - 42. Let t(d) = -5*i(d) - 7*x(d). Is t(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**5 + 4*a**5 - a**5 + 73*a**2 + 6*a**5 wrt a.\nAnswer: 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18354*j**4 + 187*j**3 + 40035008*j**2 wrt j?\nAnswer: -440496*j + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 5)*(-10648)\/(-5808)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jndj when four letters picked without replacement from dnjdjbjjjjdn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**2*y - 3838*g**2 + g*y**3 + 616*y**3 + 2*y**2 + 33 wrt g?\nAnswer: 8*g*y - 7676*g + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 176*t**2 + 7417*t - 312. Determine z(-106).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113516 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1987\/13 - 153. Let h = -1.37 + 4.63. Let r = 3.86 - h. What is the third biggest value in 1, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 2, l: 5}. What is prob of picking 3 l and 1 u?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16191535.\nAnswer: 5, 61, 53087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*y - 18, 0*y - 5*z = -3*y + 14. Is 31 a factor of (-2)\/y - (-237)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + sqrt(91) + 2*sqrt(91)*-2) - (sqrt(91)*2*-5 - sqrt(91)))\/((sqrt(280)\/sqrt(5))\/sqrt(8) - sqrt(35)\/sqrt(5)*-3).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.857185 litres?\nAnswer: 9857.185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-777)\/(-516) - -3. Let v = g + -341\/258. Let n(b) = -2*b. Let x be n(1). Which is bigger: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/7, -3061, -13, -0.1, 1, 2\/7, -16?\nAnswer: -3061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.05, -0.35, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -2, -0.3, 4, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -449768*a**5 + 2*a**4 - 5053*a**2 - 56*a?\nAnswer: -26986080*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2448878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 3*a**2 - 2*a + 2. Let m be l(2). Suppose -22052 + 59090 + 20388 = -17*q. Let p be (-1)\/2*(q - m). Round p to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 - 1424*l**2 + 5675*l + 7100 = 0. What is l?\nAnswer: -1, 5, 1420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 3 (b) 0.2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 9:55 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 123. Suppose 0 = 17*t - j*t + 36. Let f(q) = q + 2. Let r be f(0). What is the closest to -2\/3 in t, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 7:45 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48000 + 556.\nAnswer: -47444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -7 + 4 + 4 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 1\/3*6. Let o be r*6\/4 - (-9)\/1. Let l(h) = -h + 8. What is l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38844, 314, 1, -1 in ascending order.\nAnswer: -38844, -1, 1, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 6*g**2 - 7*g + 4. Let k be x(-7). Suppose 0 = -3*y - 2*n - 3*n - 6, k*y - n - 15 = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 170\/(-68)*(-38)\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324706 = 12*l + 1325246 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6237.007 seconds in nanoseconds?\nAnswer: 6237007000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59a412 (base 12) in base 3?\nAnswer: 2201121011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/43 and (230\/(-5))\/(6 + 3).\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.30864 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 7*s**2 + 14*s - 38. Let n be p(8). Solve n*x = 19*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -241\/71 or -4?\nAnswer: -241\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g - g)*(g**2 + 0*g + 0*g) - 2*g**3 + 2*g**3 - 8*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + 0*i)*(-2427 + 1582 - 2139)*(-1 - 2 + 6).\nAnswer: -17904*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -29*a**3 + 137. Let b(t) = 2*t. Determine k(b(p)).\nAnswer: -348*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 783949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + d - 4*d)*((2*d + d - 5*d)*(2 + 2*d**2 - 2) + (-d + d + d)*(33*d**2 - 14*d**2 + 20*d**2)) to p*d**4 + m*d**2 + r + w*d**3 + t*d and give p.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -11.997.\nAnswer: -1.1997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 201217 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-44 - (7 - -3 - 26 - -16)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3 and 20\/5701.\nAnswer: 17103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34059*n - 79989*n + 15201*n.\nAnswer: -98847*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82215 and 756.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10))**(-22\/5)*i**(-27)*i\/((i*((i\/i**(-6))\/i)\/i*i)\/i))**(-30) assuming i is positive.\nAnswer: i**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*h*j**2*r + 2*b*h*j*r**2 - 2*b*j**2*r**2 - 33*b*j - 2*b*r**2 + 2*b + 31*h*j**2 wrt j.\nAnswer: 2*b*h*r - 4*b*r**2 + 62*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**2 - 20*n**2 - 38*n**2.\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 4:45 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d7 + 39?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99) - sqrt(99))*2*4)\/(1*sqrt(81) + sqrt(1089)*-2 + sqrt(1089)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 789731865 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/(12285\/(-300)) - (-2 - 8\/(-3)). What is the second smallest value in -10, s, -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1588508*o + 1960 = 1588452*o for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 - 2*x + 2*x + (-1 - 1 + 3)*(x**2 - 2*x**2 + 2*x**2) + 0*x**2 - 3*x**2 + 5*x**2 in the form m*x + t + k*x**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4 - 3651*x**3 - 90738*x**2 - 319172*x - 304584 = 0.\nAnswer: -3626, -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 201, 199, 197, 195?\n\"Answer: -2*l + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -102 and -807\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999341 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56226, -110950, -165674, -220398, -275122?\n\"Answer: -54724*v - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100980 rounded to the nearest one thousand?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33\/7 - 179\/35. Let h be ((-4)\/(-35))\/(4\/10). Is h <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:27 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(8640))\/(sqrt(48)\/(sqrt(8)\/sqrt(2)))*3.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19198.2 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w, 0*f + 1 = -2*f + f + 5*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -79, -73, -67, -61?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 + l**4\/8 - 5*l**3\/3 + 212*l**2. Give y(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159242 plus -66594?\nAnswer: -225836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 194 = -5*v - l, 0 = -5*v + 3*l + 222. Let a = v - 38. Solve -d + 0*d = -a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3678 and 432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 31. Let u = 3945 - 3943. What is the closest to u in 2, 1\/8, w, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4444387 litres?\nAnswer: 444.4387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 10233.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*b + 77 = 0, -4*b + b + 111 = 3*p. Calculate the least common multiple of 4 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31429793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 33*g**3 - 72*g**2 - 451*g - 353. Let n(o) = 23*o**3 - 48*o**2 - 301*o - 235. Let s(f) = 5*b(f) - 7*n(f). Suppose s(u) = 0. What is u?\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 14. Let r be l(-6). Let o be r\/(-14) - 1200\/14. Let g = -46 - o. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -152. Let u = 1781\/55 - 161\/5. What is the closest to u in 3, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*d**5 + 26671*d**4 - 31669885*d.\nAnswer: -1840*d**3 + 320052*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9296414, -9296415, -9296416, -9296417, -9296418?\nAnswer: -9296419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 2 f when four letters picked without replacement from ccccpcffp.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 10 = g, -5*g + 3 = -2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13683)\/15)\/(18\/(-75)). Let o = b - 3788. What is the common denominator of -1 - (-2 + (-159)\/(-6)) and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5247*y + 102479 = -13022 - 41909 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7782 by -5.\nAnswer: 7782\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46347, -46368, -46407, -46464, -46539?\n\"Answer: -9*q**2 + 6*q - 46344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -753 (base 12) in base 5?\nAnswer: -13241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 162, 31, 5, -5, -2, 3 in decreasing order.\nAnswer: 162, 31, 5, 3, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2)\/(0 + -2). Let v(g) = 2*g + g + p*g. Let o(q) be the second derivative of -q**4\/6 + 2*q. Determine o(v(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:43 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029803 - -117557313?\nAnswer: 117557312.970197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*h + 80. Suppose -5*j - 3*s + 19 = 0, 2*s = 3*j + 5*s - 9. Suppose 4*x + h = 5*k, -2*k + j*x + 2 = -4*k. Is k less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-16))\/(1 + 1) - (1637 - 1604)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/9 + 837*q**2 + 120215*q\/9 - 142823\/3.\nAnswer: (q - 3)*(q + 19)*(q + 7517)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 5, x: 5}. Give prob of picking 3 x.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5940 divided by 30?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l. Let k be j(1). Let d(p) = -p**3 + p**2 + p - 1660. Let q be d(k). Is 3 + 0 + (0 - q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 0*k + 3*k)*(283*k**2 + 17 + 285*k**2 - 573*k**2) to the form w*k + m*k**2 + x*k**3 + l and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-2)\/7)\/((-30)\/70))\/((-38)\/(-2337)). Solve -f*j = -11*j - 60 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.3. Let d = 418 + -417. Let u be ((-48)\/(-44) - 1)\/d. What is the second smallest value in -2, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6544 or 6110?\nAnswer: 6544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -60*b + 63*b + 5*i, -4*i = 9*b + 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 4 - 12 = 0. Does 32 divide 3*t - 5*(-8 + -17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b0 - 3?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4244 and 872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfphppp. What is prob of sequence ppf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -89, -67, 11, 163?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 13*r - 3*r - 8*r**2 + 3*r**3 - 10*r + 2*r**4 to k*r**2 + t*r**4 + l*r + i + n*r**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/45*6 + 42\/(-30). Is (3 - o)\/(100\/28150) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 + -6.8?\nAnswer: 364.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*z + 1735207 = 0, -21*r - z = -26*r + 8676053. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0, 2, -1, 1, -661 in ascending order.\nAnswer: -661, -31, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - -2) + 363\/(-33). Which is smaller: s or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 3. Let d(c) = 2*c - 2. Suppose 3*y = -f - 11 - 6, 3*y = 2*f + 25. Let r = 10 + f. Suppose -5*a - 6 = 19. Give a*d(t) + r*b(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-385)\/(-9) + (-6)\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/13 + 2*y**4 + 19314*y**3\/13 + 917230*y**2\/13 + 12561944*y\/13.\nAnswer: -2*y*(y - 124)*(y + 37)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3712773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 37*f + 800 = -0*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + -0.05. Let c = -0.9 - j. Is -1 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110085 is divided by 983.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 + -143.57. Let m = -4.43 + k. Which is the nearest to 6? (a) -2\/9 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/24 + w**3\/6 + 3*w**2. Let h be b(2). Solve -5*r + h*q + 22 + 0 = 0, 5*r = q + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64017, -128096, -192267, -256530, -320885?\nAnswer: -385332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/10*(-5288)\/6. Let s = o - -1982. Let p = s + -271. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(84)*4)\/((1*sqrt(60))\/sqrt(5)) - ((sqrt(35) + sqrt(3500)*-2 + sqrt(3500))\/sqrt(320))**2).\nAnswer: -8*sqrt(7) - 247\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9499948 weeks in days?\nAnswer: 6.6499636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36bd46 (base 14) to base 15\nAnswer: -271127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y - 101967 - 14*y + 101964 - 45*y**2)*(-3 - 2 + 3).\nAnswer: 90*y**2 + 54*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -5141886?\nAnswer: -5141893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 24 = -5*s - 4, 3*s - 10 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -25. Suppose -14*v + 13*v + 135 = n. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 113*g**3 + g - 2. Let s be d(1). What is the highest common factor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2726989.\nAnswer: -2726989, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 + 328. Solve -112*i + 123*i + t = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2448)*-1 + 4 - sqrt(2448)) + sqrt(2448) + sqrt(2448))**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 - 7444*k - 6926642\/3.\nAnswer: -2*(3*k + 1861)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 6. Let i be y(-5). Let o = 0 + i. What is o rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let k be f(-1). Let w = -717 + 728. Calculate the greatest common factor of k and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2612 - -6?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8611 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 292*p**2 + 11*p - 12. What are the prime factors of z(1)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttwttttwtttttwt. Give prob of picking 2 t.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-11) + (-453)\/11. Let y = 94 + a. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5927 - -5870) + 0 + 84.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Let k(q) = -1. Let d = 15 - 17. Let s(a) = d*z(a) + 2*k(a). Let m(c) = 3*c. What is m(s(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 245*s**2. Let l be u(1). Suppose o = -84 + l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 - (-8 + -7 + -3 + (17 - 2) + 1)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204 + 4602 - 169 + 1202 - 289 + 2*k.\nAnswer: 2*k + 6550","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236 - 163. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 7*k + 2. Let h be b(-7). Solve n = 3*n + h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10)\/(15\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -h + 3*d - 115, 0 = 4*h + d + 445. Let p be ((-5170)\/(-47))\/(2\/h). What is p rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwnwwwww. What is prob of sequence wnw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -52860*t + 52858*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*u - 6, -2*u - 14*n + 10*n + 30 = 0. Solve -22*g - u*g = 58 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 6*d - 5. Let t be m(6). Let b = -3.51 - -1.51. What is the closest to b in t, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 11*r**2 + 4*r + 11. Suppose -4*k + 72 = 2*k. Is p(k) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -747\/8 - -93. Let b = -6.0845 + 2.0845. Put 0, t, b in descending order.\nAnswer: 0, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2249.74132 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002121202 (base 3) in base 7?\nAnswer: -116645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8\/13)*s**(-33))\/(s**(1\/25))**(-2\/7))**(-20) assuming s is positive.\nAnswer: s**(305796\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2118088 is divided by 329?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 117. Let u be i(0). Let d = -6015 - -5895. Let g = u - d. Solve 2*a - h - 5 = 0, -g*a + 4*h = 3*h - 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = 18. Let p = k - -40. Suppose 0 = -5*j + p + 29. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(6755\/(-70) + 68).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + f**2 + f + 1. Let j(w) = 15*w**3 + 8*w**2 + 8*w + 8. Let h(b) = b**3 - 26*b**2 - 57*b + 52. Let v be h(28). Determine v*o(z) - 3*j(z).\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39089.98 + -39091.6700568. Let t = -1.69 - d. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 6. Let y be (10\/(-15) - (-6)\/9)\/(-1). Suppose 4*g + 17 + 7 = y. Calculate p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x + 27*x = 3*q, -5*x = q - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -396300 and -396300 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*m = m - 24, -2*m - 12 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9*b = -20. What is the common denominator of (-1 + b)*(-26)\/8 and 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n\/(n**(-21)*n*n))))\/((n\/(n\/(n*n**37)))\/n) assuming n is positive.\nAnswer: n**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28031184309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-16)*108\/10*(-6)\/(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9311, 8202, 7093, 5984, 4875, 3766?\nAnswer: 2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {y: 1, s: 1, i: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 123*n + 1630. Let w be l(12). Solve -9 + 19 = w*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 50. Let d be b(0). Let n be ((-40)\/d)\/(2\/15). Let t(o) = o**2 - 5*o - 4. What is t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.52 (b) -70.2 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:40 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1768796*a*z + 749474*z wrt a?\nAnswer: 1768796*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-4\/5))\/(o**19\/o))**(3\/16) assuming o is positive.\nAnswer: o**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2152*d + 28*d**3 - 357*d**2 - 32*d**3 - 4566*d - 3151*d wrt d.\nAnswer: -24*d - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 + 471*i**4 - 990*i**3 + 92195802*i wrt i?\nAnswer: 20*i**3 + 5652*i**2 - 5940*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**2 - 84*m - 440. Let v be r(-5). Calculate the greatest common divisor of 324 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2513 + 3*a - 4*a + 2522.\nAnswer: -a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 46 = 6*z - x, 2*x = -5*z - 812 + 931 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*d - 8*d**4 - 3*d**3 + 4 - 43*d - 5 + 2*d**2 to r*d**2 + y*d**4 + q*d + f + o*d**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (1 + 35)\/((-2)\/4 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -5, -9 in descending order.\nAnswer: -6\/11, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 237*p - 240*p - 50, -4*w = 5*p + 84 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*o + 528 = 0. Calculate the highest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n - 4. What is p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603, -2412, -5425, -9642?\nAnswer: -15063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1842, 6661, 14454, 25221, 38962, 55677?\nAnswer: 75366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x. Let h be (78\/22 + -3)*((-14)\/(-6))\/7. Factor x + 2\/11*t + h*t**2.\nAnswer: 2*t*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -9\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2900136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 464*d**3 - d**2 - d + 1. Let k be p(1). Suppose -5*v + 2*q + 1359 - k = 0, 3*q + 714 = 4*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.741 + 0.741. Suppose -4*r = r - 10. Let k = -0.06 - -5.06. What is the closest to 0.4 in k, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26429 is divided by 1650.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-9)\/66*(-66)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Let s be (6\/(-16))\/((-3)\/(-2)). Which is greater: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**2*p)\/p)**(-15\/7)*p*p**(-13)*p*p**(-7) assuming p is positive.\nAnswer: p**(-171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -12*u**3 - 39*u**2 - 33*u - 6. Let w(a) = -12*a**3 - 39*a**2 - 33*a - 6. Let x(v) = 5*k(v) - 4*w(v). Factor x(g).\nAnswer: -3*(g + 1)*(g + 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 6. Let o(x) = -x + 1. Let a(h) = m(h) - 3*o(h). Let d(q) = 17*q + 9. What is 11*a(z) - 4*d(z)?\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 20. What is the greatest common divisor of t and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -2, -16, 28, 4 in ascending order.\nAnswer: -16, -2, 4, 21, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let j(d) = -680*d**2 + 1. What is j(i(c))?\nAnswer: -6120*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -183590.\nAnswer: -1\/183590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/1 - 14\/(-2). Suppose -3*y + v = 5*l, 2*l = -2*y - y - 2. Let o be 0 + 4 + 0 + -2. Solve -5*a = -2*a + 2*p - l, o*p - 6 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6388 + 6386. Which is the closest to 0.7? (a) 4 (b) r (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -19 + 12 + 48\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/24*1 + 1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 88, 91, 46, -77, -308, -677, -1214, -1949?\n\"Answer: -5*c**3 + 6*c**2 + 20*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 18. Let l be i(-18). Suppose 3*x + 3*u = -2*u + 148, l = -x - u + 46. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 489, 948, 1735, 2850, 4293?\n\"Answer: 164*f**2 - 33*f + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 175*b**2 + 158028*b + 303493966?\nAnswer: 350*b + 158028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 14*t + 51. Let d be g(-6). Solve o = d*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 25, 22, 3, -38, -107, -210, -353?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 7:30 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7304.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + v - 27 = -11, -m = 3*v - 16. Suppose -n + 16 = m*g, -4*g - 3*n = 7 - 23. Solve 26 = g*u + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/30 - o**4\/8 - o**3\/3 - 111*o**2. What is n(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 - 2*w**4 + 0*w**4 + (2*w - w + w)*(-w**3 + w**3 - 2*w**3).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 675 and 2.42.\nAnswer: 677.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (27 + -6) - 1) + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*p + 3106, -17*m - 16 = -21*m. Does 74 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -4 (c) 1797\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2732, -7, -3, 0, 5, -4.\nAnswer: -2732, -7, -4, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 7\/10, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.46885 times -16\nAnswer: 7.5016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - w - 2*w - 51 = 0, -5*w = 25. Suppose 19*m = 16*m + v. Suppose 3*g + 1 = m. Calculate the greatest common factor of 4 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.73*47.88\nAnswer: -34.9524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2 + 3 - g + g**2 - 2*g**2. Suppose -25*t + 3 = -22. Let i(j) = 3*j**2 + 5*j - 5. Give t*i(p) + 4*l(p).\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 1. Let d be y(-1). Let q(p) = d*p - 38 + 38. Let g(o) = 3*o**2. Give q(g(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -20, 5, -4\/3, -2\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.02 + 8.017. Let o = 0.103 + n. Which is bigger: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20761, 21764, 22767, 23770, 24773?\n\"Answer: 1003*w + 19758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 2*a - 1. Let s be f(-3). Let v = -10 - s. Suppose -v*d + 12 = -3*d. Solve 3*m = d*h + 19, -5*m - h + 22 + 2 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 2084276.\nAnswer: 10421380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*a - 4063 + 902 = 2215 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 0*v + 0*v**2 + 1\/3*v**3 - 4. Let n(k) = -2*k**2 + 4*k**2 + k**2. Give a(n(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709065547 to the power of 1\/2, to the nearest integer?\nAnswer: 60902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-70) + (-162)\/(-10). Let l be (q\/(-8))\/((-2)\/3). Let v(d) = -40*d - l + d**2 - 6 + 46*d. Calculate v(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a - 204. Let y be m(19). Let h(z) = -1. Let c(g) = g - 11. Let q(u) = c(u) - 5*h(u). What is q(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12131614 to the nearest integer?\nAnswer: 3483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.31 - -15.7025. Round k to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 + b**2 - 2*b + 3. Suppose -38*k + 15 = -35*k. Suppose k*x + 1 = -14. Let p be z(x). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1530 or -1508?\nAnswer: -1508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llj when three letters picked without replacement from {d: 2, j: 3, l: 7, q: 4, f: 1}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 201. Suppose -2*x = -b - 47, -2*x + 7*x - 5*b = i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 8, -14, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -18*s. Let k(r) be the first derivative of r**2 - 16*r - 18. Let l be k(9). Let m(b) = -2*b**2 - b**2 + 5*b**l - 4*b**2. Determine h(m(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17, -514, 1, 2, -4.\nAnswer: -514, -4, -3, 1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 143, 178, 237, 320, 427, 558, 713?\n\"Answer: 12*t**2 - t + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c - 10. Let o be (2 + -3)*(c + 1). Is 8 a factor of (o + -2)\/((-1)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518708506?\nAnswer: 2, 7, 108479179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwwtufk. Give prob of picking 1 f, 1 v, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + -2 + -8 + 4. Let l be r\/3 + 9\/27. Suppose l = 3*u - w + 5, -u - 2*w + 1 = -w. Are 0.22 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/5)\/1*(3 + -8). Solve 0 = k*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**3 - 2*s**2 + 3*s - 4. Let u be z(-3). Let n = 1109\/7 - u. What is the second smallest value in -1\/6, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -2*i**3\/3 + 16. Let l be (-2)\/(2 + -6)*4. Let r(y) = 4*y**2 + 0*y**2 - 5*y**l. Calculate v(r(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhc when three letters picked without replacement from {q: 1, f: 1, h: 1, c: 3, x: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*a - 90, 3*a = 4*u + 54 - 14. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 94. Let h = -121\/2 + w. Calculate the common denominator of -33\/8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(3) - (sqrt(3) - sqrt(15)\/sqrt(5))) + 2).\nAnswer: -10 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1447405 and 685.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*s + 4*i - 6, -4*i - 20 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032041072 to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 2*q + 8*q**3 - 26*q**3.\nAnswer: -18*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + sqrt(3) + 0 - sqrt(75)*2.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1946.9958 months to years.\nAnswer: 162.24965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 42 + 84. What is the greatest common divisor of r and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 118891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -909 - -909.2679. Let r = 0.255 - s. Round r to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-8)\/(-80)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 1:25 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 11 + 2*m**3 - 4 + 84*m**2 + m**4 - 2*m to b + t*m**2 + p*m**3 + g*m + c*m**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = h - 4*m, -3*h - 5*m + 34 = -6*h. Is (-3130)\/(-7 - -2) - h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118)\/(-14)*4*161\/(-92)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17562*i + 1 + i**2 - i**2 + i**2.\nAnswer: i**2 - 17562*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153383.769917 - 153384. Let s = -0.23 - a. Round s to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 8*h**2 - 5*h - 13. Give y(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*m**4 + m**3 + 137*m**2 wrt m?\nAnswer: -1032*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/4 - 30929*s**3 - 247479*s**2\/4 + 2659957*s\/2 - 1237180 = 0.\nAnswer: -8, 1, 5, 123718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3141037 is divided by 561.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 387136 <= -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*r = -2, -2*r + 33 = 5*j - 4*r. What is the least common multiple of 6 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5654, 5662, 5674, 5690?\nAnswer: 5710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/5)*o)**22\/(o\/(o\/o**6)*o**(-1\/5)) assuming o is positive.\nAnswer: o**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -19. What is the closest to -2\/3 in -0.5, 11, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 19*u + 502. Let z(b) = -16*b - 500. Calculate 3*t(r) + 4*z(r).\nAnswer: -7*r - 494","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 3, c: 1, k: 8, l: 2, j: 5}. Give prob of sequence cy.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 18 = -2*n - 2*n, 150 = 5*q - 5*n. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297066554 a multiple of 6762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56261826 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12.4. Let r be 12\/78*(-1 + -2)\/(-6). What is the second smallest value in u, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 6:55 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -m - 19, 42143*b - 42141*b - 5 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13360 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from dqpqqqpqddppdxq.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5 + 6 - 7 - 6*h. Let g be a(-3). Suppose -w + 2*i = 2, 0 = -5*w + 3*w - i + 11. Solve f - g = w*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-16)*(-6)\/9. What is the third smallest value in q, -0.3, 2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17073, 8, 4 in descending order.\nAnswer: 17073, 8, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 648\/(-1620)*(-6105)\/(-66)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 11*w + 14. Are w and 47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(360)\/(sqrt(10) + 2*sqrt(10)))\/sqrt(12) + -1).\nAnswer: -4 + 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 6*g - 8. Let p be a(2). Suppose -45*c + 188 + 172 = p. What is the smallest common multiple of c and 43?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r - 20*r**2 - r - 10*r + 8*r. Let g be k(-2). Let h = g + 127. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -91. Suppose x*g = 37*g + 150. Calculate the lowest common multiple of 27 and g.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*s - 2, -14 = s - 5*n - 1. Let m(z) = 3*z - 15 - 7 + 3*z**2 - 2*z**2 - 3. Let o be m(4). Put -5, s, o in descending order.\nAnswer: o, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*y - 4*y + 3*y)*(2*y + 2*y - y) to the form n*y**2 + h + r*y and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11977 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3 - 3. Let z(a) = -2*a - 4. Let l(b) = -5*b - 7. Let f(d) = u*l(d) + 5*z(d). Give f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19 - 4*i - 2*i + 7*i. Let p(s) be the second derivative of s**4\/12 + 126*s. Calculate z(p(v)).\nAnswer: v**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -109023 times 1\nAnswer: -109023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -3, 1, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123.4 - 123. Which is the closest to 1? (a) l (b) -0.7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**10*((h\/(h*(h\/(h**(3\/2)\/h))\/h))\/h)\/h*h\/h**(1\/5))**7 assuming h is positive.\nAnswer: h**(-847\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -519, -781, -1045, -1311?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 290 - 6*b**2 - 290 - 5*b**2 to w*b + c + a*b**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 13. Suppose 0 = -3*a - r + 14, 3*r = -2*a. Solve s*z = 2*z - a, 3*h + 4*z = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvkkkkkkkk. What is prob of sequence kvk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*m**3 + 2985891*b**2*m**2 + 4836*b**2 + 2*b - 5 with respect to m.\nAnswer: -6*b**2*m**2 + 5971782*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3448*q**2 + 2861*q**2 + 660*q**2 + 996*q**2 + 4905*q**2 - 4223*q**2.\nAnswer: 8647*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11466 = 6*p + 3*p. Let h = -6349\/5 + p. What is the common denominator of 61*(5\/(-8))\/(-5) and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(-4*(-11)\/484)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00168289 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.587 plus -15.1721774?\nAnswer: -445.7591774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*2*-6*4\/(-96).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11 - 10 + 9 - 16*k wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {s: 1, w: 6, r: 1, z: 3, i: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -14843\/9 and -1650 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87930 + 134830. What are the prime factors of l?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/26)\/(1*-1). Let r(v) = -v - 3. Let j(u) = 2*u + 2. Let d(m) = 2*j(m) + 3*r(m). Let x be d(6). Which is the nearest to x? (a) -0.2 (b) -1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 8*s. Let m(p) = 2*p**2 - 17*p + 1. Let r(j) = 2*m(j) + 5*y(j). Let x be r(6). Is x > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/8)\/((-2)\/12). Let s(z) = z**3 - 4*z**2 - 5*z + 2. Let m be s(5). Solve 5*j - 4 = m*b - t*b, 2*b + 3*j = 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) -1\/16 (b) 1 (c) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0*s**2 - 24*s + 0*s**3 + 0*s**4 + 1\/5*s**5 + 0. Determine b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s - r = -15, -4*s = -5*r - 41. Suppose 2*o + f = 4*f - 311991, s*f = -2*o - 312012. Round o to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/22)\/((-18972)\/278256)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97165621?\nAnswer: 7, 1873, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1374 + 1379. Solve -3*c = -4*v - 1, -10 + 3 = 2*v + l*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/450 and -57\/20930.\nAnswer: 941850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 18*s - 41074 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294850?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 5*a + 93. Let v(g) = g**2 + 3*g - 47. Let n(z) = 4*k(z) + 7*v(z). Let i be n(-11). Let u = i - -362. What are the prime factors of u?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7)*n)\/n**(-2\/17) assuming n is positive.\nAnswer: n**(218\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 312861*t**4 + 2815755*t**3 + 8447301*t**2 + 8447409*t + 162 = 0. Calculate t.\nAnswer: -3, -2\/104287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10*i - 55 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106141876 divided by 502.\nAnswer: 211438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 5, e: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**3 + g**4 + 38*g**2 - 27*g**3 - 13 - 13 + 28 wrt g.\nAnswer: 24*g - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.2 (b) -117 (c) 3\/2 (d) -967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a\/(a**1*a)))**9)**(10\/3)*(a**(-9)\/a*a**3)**(-5) assuming a is positive.\nAnswer: a**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22912 or -23017?\nAnswer: -23017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y\/(y\/((y**(3\/4)\/y*y)\/y))*(y**(-1\/4)*y)**49*(y**(-1\/3))**(-49)\/((y*y*y**(-4)\/y*y)\/y**1) assuming y is positive.\nAnswer: y**(329\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 868 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 20. Let d be v(9). What is the remainder when 65 - ((-12)\/(-4) - d) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*k - k. Let s be (-30)\/(-9) + (-1)\/k. Suppose -3*w = -2*u + 43, 64 = 4*u - s*w - 37. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 132*q**2 - 219*q**2 + 6*q**2 + 19*q**2.\nAnswer: -325*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003257442231 to 7 dps.\nAnswer: 0.0003257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4746793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3 + 4408*i**2\/3 + 23922*i - 24412\/3 = 0.\nAnswer: -718, -17, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 + 40*w**4 - 354*w**3 - 14272*w**2 - 119240*w - 319200 = 0. What is w?\nAnswer: -12, -10, -7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 132421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*b = -16910, 38*b - 46*b - 42273 = -5*x. List the prime factors of x.\nAnswer: 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1051c?\nAnswer: 10519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 58\/3 + 8 + 154\/(-21). Let i(j) = -j**2 + 31*j - 59. Let m be i(h). Calculate the highest common factor of 46 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*v**3 + 32*v**2 + 271*v - 545*v + 274*v wrt v.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 140 = 10*p. Solve t = p - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*(z*z**(-4\/13))\/z)\/z*z)\/z**(-4))**33)**(5\/6))**(-27) assuming z is positive.\nAnswer: z**(-90585\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 - 3 - 507*d**2 - 3 + 512*d**2 wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 99597, 796683, 2688719, 6373179, 12447537, 21509267, 34155843?\n\"Answer: 99579*f**3 + f**2 + 30*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1929 + 1977. What is the remainder when 233 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1872\/(-2574))\/(26\/(-11)))\/(-18)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/14 + 22\/(-14). Let g be -2*(12 - -1)*1. Let q = h - g. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -412032254?\nAnswer: 412032305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54107357.331 and -1.18?\nAnswer: 54107358.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 + (-3)\/(-60) + 81\/(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 = g + 3*p, 853 = g - 0*g + 5*p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 + 19*o + 4509*o**4 + 129 - 4511*o**4 with respect to o.\nAnswer: -8*o**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 - r - 7*r**3 + 13*r**3 - 4*r**3 - 10*r**2 as q*r**2 + j*r**3 + h + b*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 28128870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1125)\/(-75)*(8\/(-6) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*b + 30*b + 44*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1269.5057 or -7?\nAnswer: 1269.5057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - u**2 - 4*u**2 + (-u - 4*u + 4*u)*(5*u + 2*u - 4*u) to h*u + a + k*u**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:46 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36930, -73753, -110370, -146679, -182578, -217965, -252738, -286795?\n\"Answer: 17*p**3 + p**2 - 36945*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 1. Let m(t) = 2*t**3 + 3*t**2 + 3. Determine -m(l) - 3*r(l).\nAnswer: -2*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -227*t + 51678. Give p(227).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720 is divided by 411.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10944370016 + -10944370322.99999831. Let p = y + 307. Round p to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 75439.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2 - 5*u**2 - 3*u**2 + (2*u**2 + 0*u + 0*u)*(-4 - 1 + 4).\nAnswer: -9*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -499 (b) -5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 44969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -368, -297, -198, -71, 84?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16*f = 14*f - 12, -w = -2*f - 9. What is the smallest common multiple of w and 23?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, 2, 66\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4543, 4544, 4545, 4546, 4547, 4548?\nAnswer: 4549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -1\/3*p**4 + 9*p + 1\/10*p**5 + 1\/15*p**6 + 0 + p**2 - 1\/6*p**3 - 1\/42*p**7. Factor n(r).\nAnswer: -(r - 2)*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 + 13) - (1 - 40) - -2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**3 - h**2 - h**2 + 0*h**3 + h**2 + 7*h**3 + 4*h**3.\nAnswer: 2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o + 1. Let f(x) = -3*x**2 + 6*x. Let u(k) = 5*b(k) + 2*f(k). Determine u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 - 3140*g**3 - g**2 + 3140*g = 0 for g.\nAnswer: -1, 0, 1, 3140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.5. Let n(o) = 3*o**3 + 8*o**2 - 21*o - 66. Let f be n(-2). What is the nearest to 1\/3 in -3, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/30*8\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -70.999939. Round l to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 - 2*l + 27. Let z(i) = -24*i**2 - 12*i + 124. Calculate 14*o(k) - 3*z(k).\nAnswer: 2*k**2 + 8*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(99) + 4)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2466 = 694. Round o to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 4, y: 3, h: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 325*d**4 - 2 - 326*d**4 + 23*d)*(-10 - 6*d + 10).\nAnswer: 6*d**5 - 138*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62454149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/120 + j**5\/60 - j**4\/24 + 1915*j**2. Let r(h) = -20*h**3 + 5*h**2 - 5*h. What is 2*r(c) - 10*x(c)?\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-7*m + 5*m + 5*m) + (-6 + 4 + 5)*(6*m - m - 4*m) - 2 + 2*m + 2.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6310 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 7. Let a be 286\/(-6) - t\/(-21). Let y = -22 - a. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 199*t + 5065. Let x be v(-7). Calculate the greatest common divisor of 238 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 7)*(3*w + 3*w - 4*w)*(-w - w**3 + w) to the form l*w + b + d*w**2 + z*w**4 + t*w**3 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + 724e?\nAnswer: 7216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726089561 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 5*d - 457. Suppose 0 = -10*g + 1628 - d. Calculate the greatest common divisor of g and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 256 + -260531?\nAnswer: -260242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7820, 7823, 7826, 7829, 7832, 7835?\n\"Answer: 3*r + 7817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28, -2\/7, 4 in decreasing order.\nAnswer: 4, -2\/7, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5658798 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = -w - 80 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 15.00037. What is y rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4 - (-8 + 3)). Let z(n) = n**2 + 1. Let h(t) = -2*t**3 - 4*t**2 - 6. Calculate x*h(k) + 6*z(k).\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by 118640?\nAnswer: -31\/59320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/3 - 3*v**4 - 7*v**3\/3 + 3*v**2 + 8*v\/3 = 0 for v.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134484350 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62\/49 or 0?\nAnswer: 62\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 = 35*h - r, -12496*h + 12497*h + 6 = -r for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1\/4, 18, 0.12, 0.1, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/143, -29, -5, 2, -3?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10456*j*w**2 + 2*j*w + 5*w**2 + 3*w - 5 wrt j.\nAnswer: 10456*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 118.315 * 852\nAnswer: 100804.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -57?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + 18 + 13\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1))\/(3\/6). Suppose -74 = -3*l - s. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 - (-52)\/30. Let a = 9 + -6. Is a > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(3))**2 + -4 - ((sqrt(3) + -5*-1*sqrt(3))*-5)**2.\nAnswer: -2685 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(-5*x + 4*x + 3*x) - 4*x + 8 - 8.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 232 + 9*j + 288 - 520. Let t(l) = -4*l + 5. Let p(r) = -1. Let n(h) = -5*p(h) - t(h). What is n(q(s))?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, -0.189, -3, -102 in increasing order.\nAnswer: -247, -102, -3, -0.189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*k + 5 = h + 119*k, 2*h - 2*k = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14778 - 4465. Suppose -s = -2*m + s + 5164, s = -4*m + t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51565, 51580, 51593, 51604, 51613, 51620, 51625?\nAnswer: 51628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2320871, -2320697, -2320223, -2319299, -2317775?\n\"Answer: 25*b**3 - b - 2320895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143706999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(84)\/(sqrt(14)\/sqrt(2)) + sqrt(12) + -3 + sqrt(36)\/sqrt(3))**2 - (1*sqrt(24)\/sqrt(2) + sqrt(12))*-3) + 3).\nAnswer: -144*sqrt(3) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (8 - 5) - (5 + 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**3 - 6932*a**2 - 18416*a - 9200.\nAnswer: -4*(a + 2)*(a + 575)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 4. Suppose 0 = 5*t - h*t - 3. What is the first derivative of 55*b - 6 - t*b**3 - 55*b wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -41?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -15551?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -370 at most as big as -384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2. Let p(g) = 0*g - 9*g - 7*g. Give i(p(u)).\nAnswer: -768*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/576 and 137\/78665976?\nAnswer: 629327808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1699*b + 1679*b + 100 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -265630 plus -184544.454?\nAnswer: -450174.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -5*c + 40, -31 + 20 = -2*c - q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + 1. Let n be (88\/10)\/(-5 - 98\/(-20)). Let m = 82 + n. Let d(o) = -2*o**3 - 3*o**2 - o + 4. Calculate m*u(q) + 2*d(q).\nAnswer: 2*q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54043 by 5.\nAnswer: -54043\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.797 - -11.797. Let q = -1 + 14. Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**3\/6 - 2*j**2 - j. Let z be (-6)\/15 - 3\/5. Let m(i) be the third derivative of i**3\/6 - 27*i**2. Give z*c(y) - 4*m(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2136762, 2136765, 2136772, 2136783?\nAnswer: 2136798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 16, -4, 1 in ascending order.\nAnswer: -47, -4, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -57. Calculate the least common multiple of c and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24833963 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 213\/568*(24\/9)\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 23*w**2 - 8. Let o(u) = -16*u**2 - 11*u + 6. Let g = 88 - 94. Let b(i) = 8*i**2 + 6*i - 3. Let d(c) = g*o(c) - 11*b(c). What is 11*d(h) - 4*p(h)?\nAnswer: -4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31286 (b) -0.9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 4*g**2 + 10. Let p be b(-2). Solve -p*m = 3 + 5, i - m - 9 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 3*j + 4. Let n be t(3). Let q(m) = m**3 + 6*m**2 - 2*m + 11. Let i be q(-7). What is the tens digit of i*(n\/(-6) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = -20. Suppose -j*i = 8, 4*i + 14 + 10 = -2*q. Let o be ((-12)\/q)\/((-1)\/(-12)). Solve 5*g - o = 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98718853 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c - 9 + 9 - 11 + 11 - 23*c + (0*c - 2*c + 4*c)*(-2 + 2 - 2) - 3*c + 3*c + 2*c.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1538, -8\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 4690\/84 - 20\/24.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-24)\/(-12))\/(1*2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.16 or 763?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -257.59691 to the nearest integer.\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4 = 0, 3*d + 82*b = 80*b + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14 = 10. Calculate the remainder when 47 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*w + 141783, -2*w + 17825 + 38884 = -5*q. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, r: 3, a: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000867723 to seven decimal places.\nAnswer: -0.0000868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3012719 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 6, o: 1, k: 1, a: 1, v: 9}. Give prob of sequence ofk.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6278*k + 357776 + 144464 for k.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*w**2 + 18*w**3 - 48*w**2 + 32*w**2 wrt w.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106228200 and 77900680?\nAnswer: 1168510200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9180418759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.036 in 0.087, 0, -3, 0.2, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -13. Let z = m + -7. Suppose 4*g - 2*o = z*o + 180, 0 = g + 5*o - 57. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 20*q - 18. What is the least common multiple of s(15) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m**3*o - 361*m**3 + 10*m**2*o**4 + 2*m*o + 1 wrt o.\nAnswer: 6*m**3 + 40*m**2*o**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 18 + 17 - 2\/(176\/524)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 2, r: 5, v: 2, w: 7}. What is prob of sequence vve?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 156 = 0, -5266*z + 56 = 2*l - 5264*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19757620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37\/111*15\/4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**4\/4 - 2*b**3\/3 + b**2\/2 - 2. Let j be o(1). Find i, given that 1\/4*i**2 - 1\/4*i**5 + 1\/4*i**3 + j - 1\/4*i**4 + 0*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120335 divided by -30\nAnswer: 24067\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012370.\nAnswer: 2, 3, 5, 67079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7300*o - 4290. What are the prime factors of s(7)?\nAnswer: 2, 5, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*n - 6*n. Let q be 2\/(-30) - n\/(-15). Let f = 0.04 + 0.36. Which is the closest to q? (a) -5 (b) -1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 17243850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, p: 15}. Give prob of picking 3 l.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -8 - 4*14. Let g = -132 - x. Let n = -66 - g. Calculate the remainder when 15 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**5 + 45*o**4 + 170*o**3 + 120*o**2 = 0 for o.\nAnswer: -2, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**1*m)\/m)\/(m**(1\/11)*m)*(m\/m**0)**(7\/4) assuming m is positive.\nAnswer: m**(29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5515632 (base 7) to base 9\nAnswer: 1241243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 85, 124, 163, 202, 241?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14534 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 79*d + 31)*(-d - 2*d - d)*(-4 + 1 + 1).\nAnswer: 632*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -943, -934, -913, -904, -931, -1018, -1189, -1468?\nAnswer: -1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c + 18. Let r be j(-11). Suppose -5*v = -9*v + r. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 10. Suppose 3*o + 2*w = 23, 0*o - f*o - 3*w + 32 = 0. What is the second derivative of 10*r + 9*r**o + r - 8*r**5 + 4*r**5 wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000380418339 rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 6556?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 558\/651 - (0 + (-69)\/(-7) - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92992, 91784, 90576, 89368, 88160, 86952?\nAnswer: 85744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.5 - -4.5. Let g = 36.0016 + x. What is g rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -41 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = 2. Let h(n) = -20*n**3 - n + 1. Let r be h(t). Let m = r + 20. Sort 1, m, -2 in increasing order.\nAnswer: -2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -226144 and -0.051.\nAnswer: -226144.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + n**3 - 4 + 217 - 25.\nAnswer: n**3 + 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*i - i. Let r = 903 + -903.4. Which is the smallest value? (a) 0 (b) i (c) r (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((120\/25)\/(-8)). Let h be (16\/(-3))\/(i\/(-15)). Solve h = -2*x - 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98283\/2*b**4 - 197109*b**3 + 397479\/2*b**2 - 2178*b + 6.\nAnswer: 3*(b - 2)**2*(181*b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 - 5985430*i\/9 + 665048.\nAnswer: -2*(i - 1)*(i + 2992716)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1881*k**5 - 1860*k**4 + 5*k**3 - 13. Let n(g) = -1411*g**5 + 1395*g**4 - 4*g**3 + 10. Let a(x) = 10*c(x) + 13*n(x). Find y such that a(y) = 0.\nAnswer: -2\/467, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 383700\/56276*4\/(-10)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13*x**2 + 9*x - 9. Let p(d) = -6*d**2 - 4*d + 4. Calculate -3*f(i) - 7*p(i).\nAnswer: 3*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - m - 7, 4*m = -35 + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 2*q + 4. Let i be z(-6). Let b = 36 - i. Is 1\/(3\/(b + -2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223224 divided by -262?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 131. Let g = s + 59. Suppose 4 = -m + 4*k, 0 = 4*m - 2*m + k - 10. Put m, 1\/4, g in descending order.\nAnswer: m, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -4.7. Let p(f) = f**2 - 5*f - 4. Let s be p(6). Which is the closest to -1? (a) s (b) v (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {k: 5, r: 2, w: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**2 + 17*x + 8. Let n(t) = 2*t**2 - 6*t - 3. Let h = -61 - -53. Calculate h*n(j) - 3*u(j).\nAnswer: 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -6\/7 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, -26, -98, -198, -326, -482, -666?\n\"Answer: -14*x**2 - 2*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10880, -85449, -160008, -234551, -309072, -383565?\nAnswer: -458024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 198 = -3*i, -37 - 164 = -3*i + 4*s. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 + 9*w**3 - 28*w**3 + 13*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2. Let p be k(4). Let s = p - 1. Let z(b) be the third derivative of -b**4\/8 + b**3\/6 - b**2. Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54.7 + 55.1391. What is q rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3951*b. Let z(l) = -l. Give r(z(h)).\nAnswer: 3951*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(45)\/(sqrt(36) - sqrt(9))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -60*x**2 + x. Let i be b(1). Let m = -37 - i. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 - -0.1169\nAnswer: -57.8831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8867843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*q = -207*q - 138. Let x = q + 272. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqhdeqg. What is prob of sequence dh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 8*i = 111. Let k = i + -33. Suppose k*f - 1036 = 936. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/((-18)\/20*(-65)\/(-39)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/326162 and 38\/105523?\nAnswer: 3587782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*v - 2670 = -25280 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42425*g**3 + 18293?\nAnswer: -127275*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2\/7 + 1413504*k\/7 - 14135440\/7 = 0?\nAnswer: -353386, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/96)\/((-1098)\/(-1464)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 16 - 4)*(-5 + 5 + 2*o)*(-1 + 3 + 0).\nAnswer: -228*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Let i(a) = -9*a**2 - 11. Let d = -19 - -8. Let z(l) = -5*l**2 - 6. Let w(b) = d*z(b) + 6*i(b). Give o(w(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (4*(sqrt(65)*1 - sqrt(65)) - sqrt(65)) + sqrt(65))\/(sqrt(30)\/sqrt(54)) + ((-3*sqrt(156)*-1)\/(sqrt(144)\/(-1*sqrt(12))))**2.\nAnswer: 3*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f9 - 3?\nAnswer: -4fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62396.\nAnswer: 2, 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -47376*j - 3600569. Calculate w(-76).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6 and -115\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/9 = -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -33*v - 251. What are the prime factors of u(-54)?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*t + 4*t - 4*n, -n = -3*t + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -261.\nAnswer: -130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 - 4650*w**4 + 1454665*w**3 - 161729720*w**2 + 2816544900*w - 13401142000 = 0 for w.\nAnswer: 10, 236, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57 plus 39.61834109203?\nAnswer: 39.04834109203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 849 + -397. Suppose 0*f + 4*f = w. Suppose -4*q = 89 - f. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 346 + 218. Suppose -10 = -2*z - 4*q - q, 4 = -2*q. Suppose z*c = 6*c + k. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63569911.\nAnswer: 63569911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/11))**45)**(3\/29)*((z*z\/(z*(z**(-7\/4)*z*z)\/z*z)*z)\/z**(-1\/4))\/(z**(-1))**(1\/19) assuming z is positive.\nAnswer: z**(7311\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(180)*1 - 3*(sqrt(180) + sqrt(180)*-1)) + -3 - (-1 + -5 + 4*4*sqrt(180)*-1))**2.\nAnswer: -408*sqrt(5) + 52024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191 + 274. Let y = k - 113. Let l = 8 + y. What is the third smallest value in 2, 2\/5, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x)\/x)**(-38)*x**(-7)\/x**(1\/5)*((x\/x**(-5\/2)*x)\/x*x*x**5\/x)\/((x\/x**(-8))\/(x*x**7)) assuming x is positive.\nAnswer: x**(763\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**7\/1008 - u**5\/30 - 2*u**2. Let n(o) be the third derivative of z(o). Let k(v) = -v**2. Determine k(n(i)).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/17*-2*1\/6\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68) + -4*(sqrt(68) + 3)**2 + 1 - (5 + sqrt(68) + -2*sqrt(68) + 0)**2).\nAnswer: -1200 - 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18570 (b) 1\/5 (c) 2\/5 (d) 2\/215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18 - 32) + -58 - -82. Suppose -5*y + 3*y = b - 14, -2*b - 17 = -5*y. Solve -6 + k = i - y*o, -3*o = 4*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 + 73*u + 2*u**2 - 216*u - 3 as j*u + l*u**2 + n and give j.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000110001 (base 2) to base 14.\nAnswer: 2b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 5120?\nAnswer: -5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9. Suppose u = -4*t + 15 + 45. Let s = t + -12. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/18382 and -73\/39?\nAnswer: 55146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, -4, -3, 11, -2 in descending order.\nAnswer: 11, -2, -3, -4, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -6. Solve b = -5*j + 15, -4*j = -f - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a factor of 102879588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -w. Suppose 0 = -w*h + h - 24. What is the units digit of (-2)\/(-4) - 9\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/((-187)\/((-54230)\/(-140))).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40522?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 4, -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 6*y + t + 197, 5*y - 3*t = 335. Calculate the greatest common divisor of 40 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2427770.\nAnswer: 2, 5, 17, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 1)\/((-3)\/(-2)). Let g = 9089 - 9085. Let v be (r\/(g + -6))\/1. Put v, -4, 0 in descending order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 2 + 2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 8, -20, -92, -214?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4927633294 to the power of 1\/5, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 35.3, -69, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/4))**(2\/27)*(d**(2\/7)\/d)**(-1\/35) assuming d is positive.\nAnswer: d**(299\/2646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 75.5\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*n - 18 + 0 = 0, 25 = 5*n. Let c be ((-6)\/8)\/(1302\/(-648) - q). Suppose -h + 0*h - 3*v = -c, 4*v - 394 = -5*h. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6) + 4\/(-6). Let w = g + 0. Let i be ((-3)\/4)\/((-9)\/(-6)). Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048141 to six dps.\nAnswer: -0.000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.85*173.\nAnswer: -3261.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 16 = -4*w. Let v(k) be the third derivative of 0*k**4 - 1\/120*k**5 + 0*k**3 + 2*k**w + 0 + 0*k. Solve v(b) = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 653231527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, v: 2}. What is prob of picking 1 t and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 41500 (base 6) to base 9\nAnswer: 7580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 40*i**3 - i**2 + 2*i - 2. Let w be 8\/28 + 10\/14. List the prime factors of c(w).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 at least as big as -119460\/1351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1499337 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(51\/68*(-394)\/3). Put 2, 0.4, 0.1, x in ascending order.\nAnswer: x, 0.1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, 1, 0 in descending order.\nAnswer: 11, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66\/5 - 13. Let t be (-10)\/(-5) + -136 + -1. Let u = -400\/3 - t. Which is the closest to -1\/3? (a) u (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 928\/91, -3 in ascending order.\nAnswer: -3, 2\/7, 928\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -2 + 2 + 234)\/1. Is w < 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2. Let n(g) be the first derivative of 1\/2*g**2 + 0*g + 2. Calculate n(p(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 865\/(-6) + (-1)\/(-6). Let i = -68 + 90. Calculate the lowest common multiple of i and -5*(l\/(-15))\/(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/65, 2\/25 in decreasing order.\nAnswer: 2\/25, -2\/65, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(931)*-4 - sqrt(931))**2 + -3.\nAnswer: 45616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 71672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35438240 divided by -40.\nAnswer: -885956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.78493 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3089305 to three dps.\nAnswer: -7.309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2442, -5066, -7864, -10830, -13958, -17242?\nAnswer: -20676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*m**3 - 47*m**3 + 28*m**3 - 152*m - 63*m to h*m**3 + k + s*m + u*m**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 401 = -2*x - s, -5*x + 5*s + 995 = 0. What are the prime factors of x?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*u + 184*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3425*l - 3417*l + 20524*l - 3424*l - 3409*l - 3424*l - 3424*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1022 - 804. Let u = -216.02 + d. What is the nearest to 1 in -1\/3, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*k + 14, -4*n = k - 1 - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1626? (a) 2\/31 (b) -0.2 (c) 0.1 (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 11) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/8 + (-9)\/(-2). Let j = 7 - h. Let p(f) = f**2 - f - 5. What are the prime factors of p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7296 = 3*t + 16*t. Suppose u - t = 374. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyy when three letters picked without replacement from {u: 1, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718484733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -60. Suppose 3*s + 59 = -2*q, 30 = -2*q - 2*s - 26. Let u = i - q. Solve u = -d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 99, 109, 123, 141?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/14 - -2)*-21. Suppose -7 + 187 = 10*s. Let c = s - i. Which is smaller: 2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 3*k - 13*k. Solve 5*z + 2*o = -k*o + 14, -5*o = 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.2, 0.4, 2.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*w*z**3 + 2*f*w*z**2 - 246*w**2*z**3 - 7103*w**2 + 116*z**3 - z**2 wrt z.\nAnswer: -6*f*w - 1476*w**2 + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45434852*f = -45434839*f - 1248 for f.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170002, 341273, 512546, 683821, 855098, 1026377?\nAnswer: 1197658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 0*g + 24 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -1\/4*s**4 + 9*s - 15 - 8\/3*s**3 + 1\/2*s**2. Determine j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - c**4 - c**4)*(-6*c + 3*c + 5*c) + c**5 - 5*c**5 + 2*c**5 - 3*c + 3*c - c**5 + (-c**4 + 4 - 4)*(0*c - 2*c - 17*c).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222452 by 38.\nAnswer: -5854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37298 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 46, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3 + 7. Let a be (5 - (4 + q)) + 3. Is a*3\/6 - -52 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5684 = -3*r - 48*r + 6245 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1263 - -2546. Let m = -754 + k. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -651511 (base 8) in base 12?\nAnswer: -a6149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhcchhhhchhchchcchh.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5529 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 814, 1242, 1688, 2158?\nAnswer: 2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 not equal to 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-49 - (-13 + -16))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 + 2*j - 2*j + 1)*(3*j**2 + 9*j**2 - 2*j**2) to the form g + o*j**4 + r*j**2 + i*j**3 + t*j and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 75\/69 + (-18)\/207. Which is greater: s or 3\/949?\nAnswer: 3\/949","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/9)\/(g*((g*g*g**(-3\/5))\/g)\/g))**(-29))**(10\/17))**(-36) assuming g is positive.\nAnswer: g**(-1856\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87174.97kg?\nAnswer: 87174970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/5 - 802*o\/5 + 2388\/5 = 0.\nAnswer: 3, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*k - 9. Let q = k + 7. Let m(c) = q*c - 6*c + 5 + 0 - c**2. Calculate m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95007266?\nAnswer: 2, 101, 470333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 + 19*n**3 - 8*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1296 + -0.0713. Let b = -0.1077 + j. Round b to three dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 8 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42 or 23?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*j + 760 = 124*j - 3840 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*z + 52, 5 = -4*z - 11. Does 15 divide ((-50)\/(-15))\/(l\/(-24) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 70 + 10 + 22 = 0. Let u(m) = -2*m**3 + 2*m**2 - m + 1. Let c(g) = -g**3 + g**2 - g + 1. Let l(b) = -4*c(b) + 3*u(b). What is l(i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784379, -1568761, -2353143?\nAnswer: -3137525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 3*c**2 - 3*c + 6. Let g be f(6). Suppose 8*m = 3*m + 5*r + 45, r + 45 = 4*m. What is the greatest common divisor of g and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*c = 1814, g + 3*c - 169 = -769. Are -604 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*x**2 + 19*x - 19*x + (-2*x - 3 + 3)*(0 + 2*x + 0).\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*m + 26, 0 = 13*m - 9*m - 4*l + 24. Put 2, -23, m in ascending order.\nAnswer: -23, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.10644 times -136\nAnswer: -14.47584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*i - 393 - 47, -5*i - r + 716 = 0. Let x(o) = -5*o**3 - 4*o**2 - 2*o + 3. Let n be x(-3). What is the highest common divisor of i and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aovddvvdvvooaaaodamo. Give prob of sequence adv.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -156. Let h = 6173150070.99999961 - 6173149997. Let y = h + d. Round y to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 91*o**2 - 140*o**2 + 2*o + 3*o**3 + 44*o**2 + 5*o**3 + 1 as f*o**2 + z*o**4 + d*o**3 + g + y*o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (238\/(-21))\/(-17) + -1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19428 by 6.\nAnswer: 3238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4866 by 112.\nAnswer: 2433\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 365207.078 to the nearest one thousand.\nAnswer: 365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxx when three letters picked without replacement from mxmddxxdxmm.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7451 - -7515. Suppose -124 = -5*u + 36. Calculate the highest common divisor of u and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6447 and 188191?\nAnswer: 3952011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 + 1 + -14 + 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 1876*u - 440 + 219 + 219 + 2*u**4 as q*u**4 + b*u**3 + n + v*u**2 + a*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g - 6 = 0. What is the derivative of 4*y**2 + y**g - 1 - 3*y**2 + 2 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21266897.45999953 + -21266909.46. Let h = j + 12. What is h rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 15) to base 8.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -1814, 28.\nAnswer: -1814, 28, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Let f be (6\/q)\/(4\/8). Solve 0 = -5*g + 4*o - f, -g + o = g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-79)\/(-7) + (156\/42 - 4). What is the greatest common divisor of 77 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 - -341. What is the common denominator of 145\/6 and (x\/24 + 0)\/(1*-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 74001. Let u(b) = 104*b. Calculate c(u(n)).\nAnswer: 104*n - 74001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (462\/(-63) - (-4 + -2))\/((-26)\/(-273))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 95007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4314 and 378360818.\nAnswer: 378365132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(2\/2 - 0). Suppose c = -o + 381, 6*c - 2*c - r*o = 1496. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -199, -174, -133, -76?\n\"Answer: 8*z**2 + z - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 664*c - 341*c - 323*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3593452?\nAnswer: 2, 71, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23977*k**3 - 45075*k wrt k?\nAnswer: 143862*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -21*p - 74, 5*p - 38135 + 38161 = -f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07927044223849 and -5.\nAnswer: -5.07927044223849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -454a (base 14) to base 13\nAnswer: -561a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -3 (c) -142\/39 (d) 3\/11 (e) -21 (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 102*l + 81. Determine f(-33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 234947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**5\/20 + 5*w**4\/12 - 2*w**3\/3 - w**2 + 10*w. Calculate the remainder when 34 is divided by s(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2732 is divided by 532?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 218645 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (0 + 2) - 1. Let j(s) = v - 3 - 3. Let x(h) = h + 1. Calculate -3*j(n) - 2*x(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -76.2. Let f = m + -9.129. What is f rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 4447223160 + 4447223160.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2840048 by -2554.\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 2. Suppose 4 = n + 1. Let b be ((-6)\/18)\/((-2)\/18). Suppose b + 3 = n*p. Calculate r(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -667*n**5\/5 - 1171*n**2 + 1715*n. Differentiate u(x) with respect to x.\nAnswer: -8004*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l**2 + l - 1. Let s be j(-2). Let x be 1 - (5 - (s + -2)). Let k(p) = 4*p**3 + 3*p - 3. Let d be k(2). Is x less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 109514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 30. Let o be u(7). Suppose o*l = 13*l + 6*l. Let g(t) = -2*t**3 - t**2 + t + 2147. Is g(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 857 + -753. What is the biggest value in -1\/4, 4, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735 = 1461*s + 1187 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + ((-189)\/84)\/((-865)\/200 - -4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2658 = 13*m - 2528 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11330 - 838471\/74. Let m = -33917\/22 + 1545. Find the common denominator of m and g.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2982618431?\nAnswer: 13, 17, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3062524807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 115, -1 in decreasing order.\nAnswer: 115, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 81434.\nAnswer: 407170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 41, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**3 + 4*z**2 + 2*z + 2. Let q(y) = -5*y**3 - 4*y**2 - 3*y - 1. Let w(g) = -3*q(g) - 4*u(g). What is w(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3 + (-205)\/(-65)). What is the first derivative of n - 3 + 21*x**3 - 11 - 11*x**3 wrt x?\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/316348 or 0?\nAnswer: 17\/316348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g**5 + 395*g**4 + 13775*g**3 + 20685*g**2 - 218070*g - 415800 = 0. Calculate g.\nAnswer: -15, -21\/5, -2, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 - 321988*f\/3 - 12959534018\/3 = 0.\nAnswer: -80497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -21\/2415662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51*(-6)\/(-9)*1. Let y = t - -20. Suppose 2*v + 3*o - y = 6*o, 5*o - 86 = -2*v. What is v rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -647863\/2487 - 1\/4974. Let z = q + 280. Calculate the common denominator of 35\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*f + 2*k, 1816*f - 4*k + 18 = 1814*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1360078.5 months to centuries.\nAnswer: 1133.39875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:45 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 11*y + 14. Let w be j(-11). What is the highest common divisor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/5 - (1 - -1). Let m be 6\/(h + -1) + 3. Solve -f + 7 = c, 0 + m = -2*c + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 202470\/(-45) + 8\/6. Let d = n - -49534\/11. Let -8\/11 - d*f - 98\/11*f**2 = 0. Calculate f.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-14)*(-3 + 4). Let c = 4005 + -4010. What is the fourth smallest value in c, n, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**9\/p*p)\/(p**(-1\/4)*p))**(3\/2)\/((p*(p*(p*p*p\/(p*p**(-1)))\/p)\/p*p)**(8\/13)\/((p\/p**6)\/(p\/(p\/p**4)))) assuming p is positive.\nAnswer: p**(407\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*h*j**2*n - 3*h*j**2 - 2*h*j*n + h*j - 10*h*n + j wrt j.\nAnswer: -44*h*n - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-112)*(68\/(-63))\/(-17).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.779 + 2.66. Round i to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/4)\/(6\/(-9)). Is (-3)\/(((-3)\/(-83))\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 + 202. Solve t*d + 1 = 6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*s - 15786, -4*b = -2*s - 19959 + 4185. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49532982691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3785918362.\nAnswer: 2, 1892959181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**2 - 35 + 35 + (-3*r**2 + 5*r**2 - 3*r**2)*(10 - 7 + 10).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 5*u - 58, -15*t - 6 - 4 = -17*t + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -73*t**2 - 2*t. Let p(j) = 7*j. What is p(r(l))?\nAnswer: -511*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 135*q**2 + 2*q + 8. Is d(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3282925.\nAnswer: 5, 131317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -4*(sqrt(119) + sqrt(119)*-3 + sqrt(119)) - sqrt(119))\/(3*sqrt(448)))**2 - ((sqrt(51) + 5*1*sqrt(51))\/sqrt(3) - (1 + 0 + sqrt(1377))**2).\nAnswer: 12*sqrt(17) + 49625\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l**2 + l + 1. Let q(f) = 3*f**3 - f**2 + 2*f + 2. Let a(b) = -2*c(b) + q(b). Find z such that a(z) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*m - 2071 + 2071)*(1 + 2 - 1) + (2 - 1 + 0)*(-2*m + 5*m - m).\nAnswer: -142*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4, -3*a - 4*v + 277 + 234 = 0. Suppose 5*b - 2*j = 61 + a, -j = -b + 45. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47996?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 6. Let g be 0\/(-3) + 1 - 16. Let n = g + 15. Give u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23882, 47785, 71688, 95591, 119494, 143397?\nAnswer: 167300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -222863 or -222881?\nAnswer: -222863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1112 and -23\/10.\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -2\/3*r**4 - 2*r + 27*r**2 + 3 - 1\/6*r**3. Differentiate y(t) with respect to t.\nAnswer: -16*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554 = -j - 2*u, -3*j + 5*u + 613 + 1082 = 0. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 6 = 4*w - 4*q, 4*w = 2*q + 18. Let v be w\/26 - 171\/351. Let x = 2.4 - -1.6. Which is the second smallest value? (a) v (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lolo when four letters picked without replacement from {r: 1, k: 2, c: 7, e: 2, l: 3, o: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5, -0.0348, 0, -0.1, -0.3, 8\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 24 = -3*k - 5, -3*k = 2*f - 26. Let b be -2*(-1)\/k*-4*0. Solve -4*p - 12 + 8 = b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**3 + 0*p**3 + 3*p**3 + (13*p**2 + 7 - 7)*(4*p - 5*p - 14 + 3*p).\nAnswer: 22*p**3 - 182*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 903?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l. Let d(v) = -v - v + 9*v. What is d(k(w))?\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - 3*h**2 + 2*h**2)*(-2*h - 2*h + 0*h) + 4*h**3 - 3*h**3 - 3*h**3 - 13*h**3 + 0 + 0 in the form d + f*h**2 + a*h**3 + j*h and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*c**5*d**2 - 6*c**4*d**3 - c*d**2 + 3*c*d + d**3 + 140*d**2 wrt c.\nAnswer: -3060*c**3*d**2 - 72*c**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-66)\/(-10))\/((-77)\/(-3080)) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 3 + 4*i + 1 - 2*i. Suppose 0 = -2*q + c + 11, 5*q + 9 - 38 = 4*c. Let m be t(q). Is m not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 218*r - 2084 - 4456 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a**2\/5 + 69*a\/5 - 3 = 0. Calculate a.\nAnswer: 1\/3, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83.381 - 0.9012295.\nAnswer: 82.4797705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 2*y + 28. Let i be o(0). Let j be i\/(-42) + (-17)\/(-3). Suppose 0 = j*d - 86 - 479. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 3. What is the units digit of t(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 6.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 2*q + 36*q - 2862*q**3 + 2808*q**3 + q**2 wrt q?\nAnswer: -324*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r - 15. Calculate w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0434 and 22907063625.\nAnswer: 22907063625.0434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-2) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-2\/9)\/d))\/d)**(-1\/18)\/(((d\/d**(-1\/8))\/d)\/d*d)**49 assuming d is positive.\nAnswer: d**(-4013\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 + 130. Sort -3, p, 0.\nAnswer: p, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/45 (b) 1\/9 (c) 0.3 (d) 23\/5 (e) -0.4 (f) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -254*n + 8. Let y(a) = -253*a + 10. Give -6*g(z) + 5*y(z).\nAnswer: 259*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22174?\nAnswer: 2, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*u = 15, 10820*o - 10819*o + u + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 100, 0.2, 5, -2.4, -13, -1\/6?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 19*o**2 + 3*o**2 - 17*o**2.\nAnswer: 5*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -24.3805, -2\/135, -4 in increasing order.\nAnswer: -24.3805, -4, -2\/135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 1400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.121 - -104.879. Let r = -77 + o. Let m = 31 - r. Is m at most as big as -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d3d (base 15) to base 9\nAnswer: -14314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 1 - 2*r + r**4 - 5*r - 3*r as l*r + p*r**3 + g + i*r**2 + t*r**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2408, -2417, -2436, -2471, -2528, -2613?\n\"Answer: -z**3 + z**2 - 5*z - 2403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -3, 0, -2 in increasing order.\nAnswer: -3, -2, 0, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1604746 divided by -12\nAnswer: -802373\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekeeehekeeehkk. What is prob of picking 2 h and 2 k?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.4 (c) 0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18645 and 28\/5?\nAnswer: 18645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 10*r**3 - 10*r - 2*r + 3*r**2 + 11*r**3 - 3*r - 5*r as q + h*r + y*r**2 + t*r**4 + g*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (9 + -17 + 5 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4269237 is divided by 1005.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06121705 - -35.06131905. Let j = -0.0114 + 35.0114. Let g = f - j. Round g to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= 477.4709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - m + 13 = 0, -4*b - 5956*m + 5959*m = 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i*n*r + 3*i*n + 2*n*r - 12*r + 10 wrt r.\nAnswer: -3*i*n + 2*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.106 + -0.105812. What is j rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34\/105 + 1\/105. What is the third smallest value in -0.4, -1\/4, 8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a + 11 = c - 59*a - 23, 20 = -5*a for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/3 - 8*a**4 - 230*a**3\/3 + 84*a**2 = 0.\nAnswer: -7, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*((sqrt(648) - (sqrt(648) + -3))*-1 + sqrt(648) - (sqrt(648) + (sqrt(648) - (sqrt(648) + sqrt(648)*2 + sqrt(648))) + 1))*2)**2.\nAnswer: -388800*sqrt(2) + 5263200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -537*j**2*l**5 + 2*j**2 - 3*l**3 + 31*l**2 + 3*l wrt l.\nAnswer: -32220*j**2*l**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63476014?\nAnswer: 2, 7, 673, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 6)*(5 - 2 - 2)*(-2 + 3 + 1)*(26 - 29 - 4*z + 28).\nAnswer: -64*z + 400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, -0.07, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984969 is divided by 125.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136*r**3 - 13*r**4 + 216*r**3 + 11*r**4 + 22 wrt r.\nAnswer: -8*r**3 + 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(50\/(-10))\/100)\/((-4032)\/315)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/30)\/(2\/(-42)) - 32118\/4545.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10, 22 = 4*x + 4*l - 6. Let v = 1860 - 1858. Solve -v*j + x*t = 2, 2*j + 4 + 2 = 4*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -113*s**2 - 4520*s + 34. Determine i(-40).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -4*g - 5*n, 19*g - 20*g - 3*n = -61. Solve g*h = 67*h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0 - (-28 - -29)) + (9 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f**2 + f. Let i be z(-1). Let q(j) = -10*j**i - 7*j**2 + 16*j**2. Let n(k) = k**2 + k. What is -2*n(c) - q(c)?\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c = 23*c - 260 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25520 divided by 58.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 86025739042\nAnswer: 86025739042.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -325*y + 91. Let j(s) = 18*s - 5. Calculate 91*j(a) + 5*l(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61128447157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f + 661 = 3900. Solve -66*d - 78 = -f*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.059 - 279.059. Let x = c + 279.00275. Round x to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - j = -218, 0 = y + 4*y - 5*j + 210. Let l = 2 - y. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((30*c + 1456 + 14*c - 1463)*(0 - 2 + 1) - 9*c + 0*c - 3*c)*(5*c**4 - 2*c**4 - c**4).\nAnswer: -112*c**5 + 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23073?\nAnswer: 3, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 9*x - 16. Let q be c(7). Let b be 6 - (-1 - (q + 0)). Suppose -3436 = -4*w - b*i - 414, -5*w = i - 3767. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64d081 - 3?\nAnswer: 64d07e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 81*u - 4889. Does 31 divide g(63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2488661 to the nearest integer?\nAnswer: 1578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.606009 minutes to nanoseconds.\nAnswer: 96360540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + ((-40)\/16)\/(-4*2\/(-16))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81\/4*a**3 + 0 - 13\/2*a - 79\/4*a**2 - 29\/4*a**4 - 1\/4*a**5 = 0. Calculate a.\nAnswer: -26, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -21, 0.5, -0.07, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 6. Let d = 25\/3 - 23\/3. Let m be (0 - -3)*(-4)\/(-24). Put d, m, i in descending order.\nAnswer: d, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 9.77?\nAnswer: 3.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111042 and 90954?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) 5 (c) -47\/4 (d) 0.3 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*(sqrt(152) - sqrt(152)*1) - 1*(-1*sqrt(152) + sqrt(152))))\/((sqrt(88) - 2*sqrt(88)*1)\/(sqrt(44)\/sqrt(4)*-3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 377400 + 620357. Let t = g - 997795.00062. Let c = 38 + t. What is c rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676792400?\nAnswer: 2, 5, 103, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4330\/7, 14, -4 in ascending order.\nAnswer: -4330\/7, -4, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let l(q) = 12628598*q**2. Give l(s(i)).\nAnswer: 12628598*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 5690673.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26339 is divided by 2562?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52474 + 0?\nAnswer: -52474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -15, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (127\/((-22479)\/118))\/(((-208)\/(-3))\/(-4))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 16720 = -2*x + 2*j, -5*x - 3*j = -41738. Suppose 3*b = -2*b + x. Suppose -1781 = -7*k + b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -2, -q - 8 = -2*t. What are the prime factors of (-27)\/(-6) + 3\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 22*q + 83. Give y(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107132*a**4 - 14123*a**2.\nAnswer: -2571168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -669 + 2016. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**3 + 5*n**2 + 5*n - 5. Suppose 15 + 15 = 6*a. Let g(d) = -4*d**3 + 3*d**2 + 3*d - 3. Give a*g(x) - 3*s(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -25*h - 324. Let k be l(-13). Which is the third smallest value? (a) 2\/41 (b) k (c) -2.2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.08964 to 1 dp.\nAnswer: -159.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 114*x + x**4 + 19*x**2 - 113*x + 87*x**2 + (-4*x**3 - x**3 + 6*x**3)*(-2*x - 3 + 3) - 4*x**4 - x**4 + 3*x**4.\nAnswer: -3*x**4 + 106*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/4)\/((-1548)\/2064). Which is greater: 5\/1653 or w?\nAnswer: 5\/1653","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 divided by 3.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. What is the nearest to -2\/9 in t, 1, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 1342 = 1661. Let o = h + 66. Suppose -k - o = -4*k. Is 33 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8733525113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6.236 (b) 1 (c) -2 (d) 5 (e) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51667301?\nAnswer: 7, 17, 434179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24089*s - 24089*s - 422993*s**3.\nAnswer: -422993*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*n + 9, 0*n = -4*j + 4*n + 24. Let h(l) = 7037*l - 85. Let k be h(-3). Let o be 3*(k\/(-12) - j). Round o to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 276 - 279. Sort 1, k, 3, -7.\nAnswer: -7, k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4040, 16105, 36208, 64349, 100528?\n\"Answer: 4019*f**2 + 8*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.7723496 and -2.\nAnswer: -17.5446992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112387013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/69946 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 90.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0212 + -21834437021.4\nAnswer: -21834437021.3788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 26 - 7*k - 8*k.\nAnswer: -3*k - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 37 + -3 + -139 + 150?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003678 rounded to six dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.16, 3\/8, 501575?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 21864 = 2*b + 1818, -2*b - 5*r + 20061 = 0. List the prime factors of b.\nAnswer: 2, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386.87 or -91?\nAnswer: -386.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4 - -1)*-6. Solve -1 - j = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 786 = -709. Let q(w) = -w**2 + 13*w - 6. Suppose -3*h = 2 + 1. Let b(x) = -x. Let g(t) = h*q(t) - 3*b(t). What is g(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.62 - -2.38. Are -1.4 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.532*8367\nAnswer: 4451.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 29504 - 1115*o - 29504 as z + k*o and give k.\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -3*h - 2*h - 12, 4*h - 2*v + 24 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - -0.04. What is the closest to -0.1 in q, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -30, -93, -212, -405?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 96*r - 261. Determine d(-32).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/36*(-12)\/(-45)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 127. What is the closest to 0.1 in v, 0.4, -1.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114916235 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.12, -2, 3\/35, -1\/5, -2\/5, -10, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -28*u**3 - u**2 + 7. Let l(z) = 15*z**3 - 4. What is 7*l(n) + 4*p(n)?\nAnswer: -7*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2264439 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 3*t - 5*t)*(0 - 2 + 1)*(5*t**2 + 2*t**2 - 6*t**2).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/9 in 129, 119, -5, -25\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 8*o + 13 = 3*o, 4*f - 10 = -3*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31201300200 (base 4) in base 2?\nAnswer: 1101100001110000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/515776 and -83\/16.\nAnswer: 515776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109 or -4500\/41?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -t + 4*f, t - f = f - 16. Let q = -14 - -6. Let y = t - q. Solve y*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) 7 (c) 2\/5 (d) -0.5 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 0, 0*q + 4*q - 148 = 4*p. Let w = q - 36. Which is the third biggest value? (a) 2\/9 (b) w (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**2. Let z(p) = -p**2 - 3393. What is z(b(l))?\nAnswer: -121*l**4 - 3393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -dd2f (base 16) to base 12\nAnswer: -28927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.5 (c) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 2*u - 3. Let n be f(-3). Suppose -2*v + 5*v = n. Suppose 2 = t - v. Solve -3*c = 2*d - c - t, -5*d + 4*c - 30 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 84*u**2 + 240*u - 206. Give i(-81).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 1348. Let b(d) = 24*d. What is r(b(n))?\nAnswer: -576*n**2 - 1348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 divided by 6?\nAnswer: 297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460609706?\nAnswer: 2, 73, 881, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316434674 equal to 1316434675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -17. Calculate the remainder when 28 is divided by v + (-4 + 5 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15001 - 0.24999. What is the third smallest value in h, -57, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 235, 531, 945, 1477, 2127, 2895?\nAnswer: 3781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a decade in years?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*v + 32 - 1, -4*d = -3*v + 22. Suppose 0 = 2*o - o - v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z. Let k(w) = -4*w**2 + 3*w + 3. Let c(j) = 24*j**2 - 17*j - 17. Let h(l) = 6*c(l) + 34*k(l). What is t(h(b))?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14*a - 285. Let u(w) = w**3 - 3*w**2 - 35*w - 7. Let p be u(-4). Let x be q(p). Solve -c = x*c - 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*j + 4, 4*w - 5*j - 6 = -0. Let o be 0*(-2 + 1 - 0). Solve x + w - 5 = o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198952595 to the power of 1\/3, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1\/8*v**4 + 5\/24*v**3 + 0*v**2 + 23*v + 1\/80*v**5 + 1. Let m(y) = 0. Calculate y.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20700680 and 940.\nAnswer: 20700680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p + 4. Let u be q(10). Suppose 2*t + u = 5*s - 0*t, 30 = s - 3*t. What is the greatest common factor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -294 - -324. Suppose 0 = 14*r - 29*r + b. Solve -2*i + 0 - 5 = c, -5*c - r*i - 17 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 583562 and 1022?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1. Suppose 0 = -c - 5*c + 72. Let l be (-1 - 3)\/(c\/(-6)). Let b(n) = 1 - 6 + 0 - l*n + 8. What is -b(v) - 6*x(v)?\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1)\/7 - (-15)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*z**2 + 4*z**2 + 4*z**2)*(0*z + 2*z - z)*(0 + 4 - 2) + 39*z**2 - 39*z**2 - 512*z**3 - 811*z**3 to the form g*z + h*z**2 + t*z**3 + r and give t.\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from {r: 1, s: 3, n: 1, o: 3, x: 2, m: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 789 - 2401 = 0. Let k = r - 332. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14676? (a) -173 (b) 5 (c) 2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11624, 170 in decreasing order.\nAnswer: 11624, 170, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125051, 501187, 1128081, 2005733?\nAnswer: 3134143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16541 and 80087?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-28) - (-4)\/14. Let m(p) = -42*p**2 - 2*p + 1. Let u be m(c). Let q = -1 - u. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 49. Let d = u - -61. Let c be 3 + -1 - 43\/(d\/3). Is c at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 4. Let s(k) = 6*k - 5. Determine -3*i(y) + 2*s(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000657296 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/14 and -109\/2108.\nAnswer: 14756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055569823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016375 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -0*z. Let f(c) = 2*c**3 - 13*c**2 - 10*c + 24. Let y be f(7). Sort -2, z, 4, y in descending order.\nAnswer: 4, y, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - 4*-2*sqrt(104) - -1*(sqrt(104) - (sqrt(104) + -2*sqrt(104))))\/(((3*sqrt(96))\/sqrt(4))\/sqrt(3)).\nAnswer: 11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3398042*a**3 - 874260*a**2 wrt a?\nAnswer: 20388252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (23 + 18)) + 3 + 0 + 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229209 divided by -3.\nAnswer: 76403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 0.145715\nAnswer: -0.02477155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21844.965469 + -21845. What is j rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445115 - 5?\nAnswer: -445123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7\/((-49)\/84) - -1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -22*a**3 + 13*a**2 - 35*a - 3. Calculate s(-2).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 9) to base 8.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1265*f*i**3 + 20*f*i**2 + 11*i wrt i?\nAnswer: 7590*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsq when three letters picked without replacement from {q: 10, b: 2, s: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 1. Suppose -f - 32 = 3*f. Let h be w(f). Which is the closest to h? (a) 2\/3 (b) -2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/8)*j)\/j**(2\/31))\/((j*j*j\/(j*j\/(j**(-7\/2)*j)))\/j**(-3\/5)) assuming j is positive.\nAnswer: j**(1811\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:44 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2932 divide 23875276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 11*p**2 - 10. Is z(10) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (2\/(-10))\/((-2)\/10). Suppose 4*n - b + 112 = 330, -n - g*b = -48. What is the remainder when n is divided by (38\/(-8))\/((-17)\/68)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36032 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 4356.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1257 + 1664*k + 2471 - 1214 in the form r*k + q and give r.\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258\/5 - 52. Let q be 0 + 7 + (-4 - 4). Are y and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134.11 - 6.01. Let y = l - 129. Let b be (-4)\/6*(-3)\/(-6). Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*10.208.\nAnswer: -51.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 (base 5) in base 12?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -13*j + 198. Suppose 6*h = 7*h - j. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 732775789 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 86, 189123, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**7\/840 - v**6\/90 - v**5\/60 - v**4\/24 + v**3\/2 + v. Let i(q) be the second derivative of s(q). Give i(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 2 - 49*z**3 + 49*z**3 - 3*z - z**4 + 3*z + (-3*z + 2*z + 2*z)*(-2*z**3 + z**3 - z**3) in the form g*z**3 + b*z**4 + a*z**2 + j + p*z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from kkkkkkxxxk.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(1*sqrt(136) - sqrt(136) - sqrt(136)))\/(sqrt(32)\/(sqrt(16)\/sqrt(4)) + sqrt(800)*2 + sqrt(8)) + 3.\nAnswer: 2*sqrt(17)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294597 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53\/5 of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -4*u + 3*b, -4*b + 3*b = -3*u + 196. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 1656*k - 162 = 1651*k, -2*k + 63 = -q - 0*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61, -83, -117, -169, -245?\n\"Answer: -m**3 - 15*m - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**9\/18 - h**5\/3 - 14*h**2. What is the third derivative of t(c) wrt c?\nAnswer: 3360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64217.35 centuries in decades?\nAnswer: 642173.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10*o**2 + 36*o - 26. Suppose 0 = 5*f - 3*t + 13, f - 2*f + t = 3. Let n(d) = -2*d**2 - 7*d + 5. Let k(u) = f*j(u) - 11*n(u). Calculate k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.7+4824289536\nAnswer: 4824289543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -439\/10. Which is the third biggest value? (a) -0.06 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:32 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44665.2896 rounded to the nearest integer?\nAnswer: 44665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8\/(800\/30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46\/803, 4, 3, -3\/5, 5, -2?\nAnswer: 46\/803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + t**3 + t**4)*(2 + 2 - 2) - t**2 + t**2 - t**4 - t**3 - 2*t**4 + t**3 + 5*t**4 + 0*t**4 - 6*t**4.\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 + t + 1. Let g(r) = 8*r**3 + 2*r**2 + 6*r + 2. Let c(i) = 4*a(i) - 2*g(i). What is the second derivative of c(f) wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 690 and 204.\nAnswer: 23460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*u = u - 80, 3*g - 142 = 4*u. Suppose -10 + g = -4*b. Let n(d) = -d + 5. What is the units digit of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0. Let s be (-2)\/(-17) + (-234)\/(-34). Let i be 0 - 1\/5 - (s + -7). Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504876939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 4. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (1 - 17)) + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.82893*-0.3\nAnswer: 1.148679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7101139 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = 4*p. Suppose 0 = -3*u - p*w + 2*w + 101, 5*u - 179 = w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*m**4 - 3 + 4*m**3 - m + 3 - 5*m**2 - 6*m**3 + 21*m**4 to the form p*m**4 + a*m + s*m**3 + x + u*m**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20168194?\nAnswer: 2, 23, 438439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from ibibbbbibbbibi.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 1, v: 3, g: 1, k: 1, p: 10}. What is prob of picking 1 v and 1 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.46, -6, -3, -332.\nAnswer: -332, -6, -3, 0.3, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202 + 209. What is the third smallest value in h, -2\/9, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q + 10*q**3 + 10*q**2 - 9*q**3 + 5 - 3*q**2. Let l be g(-8). Let w(p) = p**2 - 8*p + 4. Determine w(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 2*w + 29. Let d(y) = y**2 - 3*y + 30. Calculate 3*c(l) - 2*d(l).\nAnswer: l**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7))**25 assuming n is positive.\nAnswer: n**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 6. Let d be k(18). Calculate the greatest common factor of d and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -242, 296.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/9)\/v)**9 assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 y when four letters picked without replacement from yssssssssys.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = 4*q - 7*q - 438 - 138, q + 3*q - 492 = -8*n for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -421964 by -105491.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2. Let w(f) = -309*f**2. Determine w(i(t)).\nAnswer: -4944*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 17*v - 30656517 = 0. Let l = v + -17348640. Let i = -2307877 + l. What is i rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2*5406\/(-1632) + 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 = -d - 3*r, -6*r + 2628 = 4*d - 10*r. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + sqrt(405) + 4)**2 - ((sqrt(405) + 1 + sqrt(405))*-1 - sqrt(405))).\nAnswer: 945*sqrt(5) + 2435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 - 177196*h**3 - 3924625602*h**2 + 7849782800*h - 3924980000.\nAnswer: -2*(h - 1)**2*(h + 44300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4 - 2726550*u**3 + 5878*u**2 + 2*u - 56.\nAnswer: -48*u - 16359300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 - 48. Let h be (-1)\/(-5) + (-426)\/x. Let r(v) = -8*v - 14. Let c(o) = -3*o - 5. Give h*c(p) + 5*r(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -4) + 2 + -2 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/21)\/(2*(-36)\/(-672)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23*w**2 + w + 7. Let a be f(3). Suppose 220*i - a*i - 6 = 0. Determine u, given that 2\/7*u**3 + 0*u - 2\/7*u**i + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18301068 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1092\/312*710\/(-35).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 13*b - 2*z = -16, -2*b - 3*z - 60 = 0. Let v = 2.5 + -2. Put b, v, 2 in increasing order.\nAnswer: b, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11.8, -1\/6, 0.2, 1\/3, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 2*k**2 + 2*k + 6. Suppose -3*w + 6 = 3*a + 9, -3*w + 21 = -3*a. Give t(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/3))**(2\/173)\/((d*d\/(d\/(d*d**(3\/7)*d*d)*d))\/((d\/(d**(-7)*d*d)*d*d)\/d)) assuming d is positive.\nAnswer: d**(13031\/3633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34608 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1552392 and 432?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582139 + 5*f - 582139.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 83628 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 smaller: 0 or 5\/3226?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*c**3 - 2 - 6*c - 2*c**4 - 52*c**3 - c**2 + c**4 + 110*c**3 to y + q*c**4 + g*c**3 + x*c**2 + l*c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldllllllllllllllllll. Give prob of sequence dlll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 26. Let l be b(6). Solve -3*c - 7 = -l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9395 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6 - 7\/(-2). Suppose r*p - 20 = -3*p. Solve 4*b = -3*q + 9, 0 = -2*q + p*q + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 433235*a*g**2 - 82*a*g - 129*a - 69*g**2 - 74*g - 2 wrt g.\nAnswer: 866470*a - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -0.01705, 385, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1462494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31736*k - 31739*k + 4*w = -25, -3*k + 2*w + 17 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-72)\/144)\/(3\/(-298230)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2. Let u(o) = 229*o**2 + 217*o**2 + 4*o - 4*o + 249*o**2. Determine x(u(c)).\nAnswer: 966050*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = 5*i - x, 0 = i + 2*x + 10. Suppose -c + 6*c = 200. Suppose -s = 5*w - i*w - c, w + 4*s - 27 = 0. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17172 - 6365. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 - 1104?\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55686 divided by -27.\nAnswer: 18562\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -11. Let k(p) = -h - p + 2*p**2 + p + 0*p. Let d be k(-2). Solve -u - d = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 424 + 77 = 0. List the prime factors of b.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 11*b + 9 + 3*b**4 + 5*b - 6 in the form w*b**3 + l*b**4 + o + p*b + s*b**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -16, l + 3*l - 32 = 2*n. Suppose 2*r = -3*y - 1 + 8, 2*y = l. Sort r, -2, -5, 5 in decreasing order.\nAnswer: 5, r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4820690183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1690 - -1686. What is the closest to 1 in -0.04, s, 8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184331, 737314, 1658949, 2949236, 4608175, 6635766, 9032009?\nAnswer: 11796904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.851719 to 0 decimal places.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1386 - -1385. Let h = 4 - 9. Put v, h, -7\/9 in ascending order.\nAnswer: h, v, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-2))\/((-30)\/105). Let c(f) = -2*f. Let w be c(t). Solve -3*i + 5*r - 4 = -w, -i = -5*r - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Let i = a - 3. What is the second biggest value in i, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1908, -2730, -4930, -9198, -16224, -26698, -41310?\n\"Answer: -115*b**3 + b**2 - 20*b - 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 3*f**2 - 11*f. Determine q(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 4*z**2 + 2*z**2)*(-z**2 - 2*z**2 + 10*z**2) + (z + 2*z - z)*(-3*z**2 + z**3 + 3*z**2) + z - 2*z - z**4 + 0*z**4.\nAnswer: -20*z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:46 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -17\/63 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose d = -4*l + a + 12, -3*l + 3 = -a - 5. Find r such that l - 2*r - 4*r**2 - 4*r**2 + 4*r**2 + 2*r**3 + 0*r**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-23 - -26) - 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157044105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6344783 and 9.\nAnswer: 57103047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*((-9)\/6)\/(-3). Suppose 38 + s = 4*x. Let j be (1\/(-1))\/((-2)\/x). Let l(a) = -a**2 + 5*a - 4. What is l(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 58 + 0*f + 21\/2*f**2 + 2\/3*f**3 + 5\/4*f**4. Find the third derivative of t(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1311124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42943671 is divided by 104.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.2, -399?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31930 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 7*g - 237. Let r(d) = -2*d**3 + d**2 + 18*d - 713. Calculate -3*r(w) + 8*s(w).\nAnswer: -2*w**3 - 3*w**2 + 2*w + 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 + 2*v)*(4 - 1 - 1) + 2 - 2 - 2*v + (2 + 0 - 3)*(5*v - 4*v + 2*v).\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x. Let b(u) = -217*u**2 + 108*u**2 + 5 + 107*u**2. What is y(b(m))?\nAnswer: 12*m**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-5 - -624) - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 35, 95, 209, 395, 671, 1055, 1565?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 470, 4, -0.78?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 + 255. Let p(t) = -t**3 + 2*t**2 + 3*t + 5. Let l be p(4). Let u = l - v. Solve 0 = b + 2*b + u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/71, 10, -2, 80 in ascending order.\nAnswer: -2, 6\/71, 10, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 12) + (0 - 2) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*7*(-13)\/39. Solve 22 = 2*r + 4*x, -2*x + f*x - 5 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.4940362 to two decimal places.\nAnswer: 66.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*d + 8, -1 = f - d - 13. Solve -5*t + 9 = -f*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k. Let v = 15 - k. Calculate the remainder when 43 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*r - 3*x, 6 = -3*r - x + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c + 181. Determine w(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 9 = 5*d, 5*d + 3*j + 4 - 6 = -6*d + 12*d - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 0 + 1\/9*c**4 + 2\/9*c**3 - 179*c - 28*c**2. Factor u(d).\nAnswer: 4*(d - 6)*(d + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-14)*((-3220)\/200)\/23. Let b = 7\/6 - 5\/2. Sort -1, g, -10, b in descending order.\nAnswer: g, -1, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1534 + -1009. Calculate the greatest common divisor of w and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 202*o**2 + 7*o - 6. Let d be g(-4). Let y = -28814\/9 + d. Let c = y + 142\/45. What is the closest to 2\/7 in 0.8, -3\/8, c?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -19. Suppose -4 = j - 3*j. Suppose 8*w + v = 2*p + 4*w, -j*p = 5*w - 62. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 922 - -2?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-576)*-18*459\/17\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 0.02. Let g = -3.94 - v. Sort -2, g, -0.5 in descending order.\nAnswer: -0.5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787*w + 5*a - 15 = -784*w, -3*a + 8 = -2*w. Solve -4*n - 4 = -w*b, 4*b - 8 = 2*n - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2440)\/455 + (-2)\/8*(-640)\/2080.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4386 = -8*b + 12450. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 6*g - 7. Calculate u(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 12244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oorooofoooorf.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(15\/(-100)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 q, and 1 p when four letters picked without replacement from ccpcwvpwcwqwcwcc.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/27 and 125\/1448586.\nAnswer: 4345758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2 (c) -362 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*v - 45967 + 28793 = 0 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 399, 43, 0.8, 0.1833?\nAnswer: 0.1833","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 16*c - 2. Let k be d(-13). Is (1 - 2)*(k - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2aa731a (base 12) to base 11.\nAnswer: -499961a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 3*j + 2*j)*(1124*j - 5121*j + 670*j + 1457*j) as g*j + r + c*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 40*h**3 - 12*h**2 + 93*h + 4. Let m(j) = 39*j**3 - 15*j**2 + 95*j + 5. Let i(x) = -5*l(x) + 4*m(x). What is the second derivative of i(d) wrt d?\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q + 690. Let l be o(2). Calculate the greatest common divisor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 856\/3 + -286. Let q(t) = -t**2 - 16*t - 25. Let x be q(-14). Suppose 0 = x*z - z + 22. Put 1, z, j in decreasing order.\nAnswer: 1, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -94, -0.1, -0.52?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -35\/3 (c) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1647 - 726. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 10*i - 20. Let n be t(-6). Suppose n*x = 473 + 551. Suppose 0 = c - 5*c + x. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + b**2 + b + 1. Let y(c) = c**2 - 9*c + 13. Let f be y(6). Let n = -3 + 4. Let j(t) = 6*t**3 + 5*t**2 + 5*t + 5. Give f*z(r) + n*j(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108765 or -1?\nAnswer: 108765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + 61.05565594311.\nAnswer: 61.04565594311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -142*y. Let b(u) = 5*u. Determine q(b(k)).\nAnswer: -710*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 156*t**2 + 151*t**2 + 0*t**2 - 6*t**2 + 3*t**2 + (1 - 2 + 3)*(t**2 - 2*t**2 + 3*t**2).\nAnswer: 306*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 12*x + 9. Let b be j(-5). Is (-10)\/b + 1020004\/138 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/217 and 107\/310.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:46 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2937 is divided by 41?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 4 (c) 663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 0*g**2 + 130*g - 3\/4*g**4 + 10\/3*g**3 - 87. What is the derivative of n(v) wrt v?\nAnswer: -9*v**2 + 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + z - 2. Let r be y(-2). Suppose -5*l = -u + r + 9, 0 = 5*l + 5*u + 25. Let x = l + 14. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31 - 13*a**4 + 5*a**4 - 25 wrt a?\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267*w**2 - 275.\nAnswer: 534*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {g: 4, p: 5, a: 3}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-18)*(-1)\/(-2). What is the smallest value in -4, k, 1\/96?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1804, -5286, -11090, -19216, -29664, -42434?\n\"Answer: -1161*f**2 + f - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + 6 + -41 + (135 - 111)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 12. Let a = -2 + 4. Suppose -3*q = a*d, q - 19 = 5*d - 2. Let i be (14\/(-4) - d)*10. Determine o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let y(d) = -264617*d**2. What is j(y(s))?\nAnswer: 264617*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4 + 372557*h**3 + 157*h**2 - 3*h - 212?\nAnswer: 24*h + 2235342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Suppose -s*t + 31 = -0*t - 5*y, 3*t = -2*y + 6. Solve t*k - 4*l + l = -14, -5*k = 5*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*w + 283*w - 143*w + (w - 2*w + 2*w)*(-1 - 3 + 2) + 0 - 2*w + 0 - 2*w + w + 3*w - 2*w - 2*w + 6*w)*(0*w - 3*w + w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4567 + -4437. What is the remainder when t is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(sqrt(363)*-5)**2.\nAnswer: 272250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 113. Let m(u) = -6 + 2*u + 3*u + 2*u. Let c = -12 - -6. Let y(r) = -8*r + 7. What is c*y(n) + g*m(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 10) to base 15.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/1080 + m**5\/9 - 61*m**4\/216 + 5*m**2 + 7*m - 51. What is s in g(s) = 0?\nAnswer: -61, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4 = u + 4, -2*f = 3*u + 14 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42375177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-328)\/(-7)*84\/336. Is 12 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in 0.4, -9, 0.01, -2\/15, -0.0731?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3 + 0*j**3 - 2*j**3 + 2 wrt j?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:35 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - u + 38 + 2*u**3 + 8*u**2 + u**4 - 40 to k + c*u**4 + h*u + o*u**2 + l*u**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 - ((-388)\/(-10) + 309\/1545)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -144619005 from -0.2.\nAnswer: 144619004.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}