diff --git "a/data/dm_maths/full_data_2/10923_11255.jsonl" "b/data/dm_maths/full_data_2/10923_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10923_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 311, -32, 4.\nAnswer: -32, 4, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)*x*x)**(3\/23)*(x*x*x*x**(-3)*x*x)**(-14))**(-27) assuming x is positive.\nAnswer: x**(86292\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 25*o**2 + 53*o + 47. Calculate c(27).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5914483 is divided by 739298.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3159896 take away 1?\nAnswer: 3159895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 822174 and 95.\nAnswer: 822269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) - (1 + sqrt(612))).\nAnswer: -15*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2. Let s be x(-3). Let h(i) = -i**3 + 6*i**2 + 4. Let d be h(6). Suppose -g = -d*g + 432. What is the highest common divisor of s and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 12. Let p be i(5). Suppose p*r = 2*r + 1465. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**4\/8 - 5*f**3\/2 - 73*f**2. Determine d(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.2 - -47.8. Let y = -37 + v. Let h = -11.6 + y. Put h, -0.1, -1 in ascending order.\nAnswer: h, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-23)\/(-25))*(-25)\/(-10). Which is the nearest to 0.2? (a) 0.5 (b) k (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223188, 223189, 223190, 223191?\nAnswer: 223192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11582.476561 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6586 + -6101. Calculate the greatest common factor of u and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7625.3 - -7625.29953433. Round q to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by 5\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*r - 128, -3*l + 32 = -2*l + 3*r. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108.35 + 109. Let y = 0.35 + h. Let s = -0.5 - -0.9. What is the closest to y in -3\/5, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 2. Let u = -505 - -499. Calculate p(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17147, 34315, 51489, 68669, 85855, 103047, 120245?\nAnswer: 137449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.142 from 42138111820.\nAnswer: 42138111819.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 3*j**3 + 3*j**3 + (-8*j + 3*j - 15*j)*((0*j - 4*j + 5*j)*(-2*j + 2*j + j) + 5*j - 5*j + 2*j**2 - 7 + 4*j**2 + 7).\nAnswer: -141*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500) + (sqrt(500) + -1*sqrt(500) - sqrt(500)))\/(sqrt(80)\/sqrt(32)) - -2*(sqrt(200)*2 + sqrt(200))*-1.\nAnswer: -50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -20*r**3 + 16*r**2 - 14*r + 908. Let y(f) = 13*f**3 - 10*f**2 + 9*f - 606. Determine -5*q(d) - 8*y(d).\nAnswer: -4*d**3 - 2*d + 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-11) + 360\/198. Suppose -3*z - a*z + 15 = 0. Suppose n - 352 = -z*n. What is the remainder when n is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 380 - 766 + 386.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 6489.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -32836.\nAnswer: -32832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3120 + 3121.3. Which is the smallest value? (a) 5 (b) -0.4 (c) -0.01 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -609583*v**2 - 2*v + 97046245.\nAnswer: -1219166*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3031 - -4513. Suppose 4*t = 17*t - g. Calculate the highest common factor of t and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 111*m = -3612. Calculate the highest common factor of 609 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/307? (a) -1 (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 18 + -7 + 11 + -17 + 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.54 take away -304580596?\nAnswer: 304580628.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(2\/33))\/t*t)\/t*t**4*t)\/(t**26\/((t\/((t\/(t*t**(-27)\/t*t*t*t*t)*t)\/t))\/t)) assuming t is positive.\nAnswer: t**(-1483\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:23 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/8 + 504*n**3 + 1772709*n**2\/8 + 63451395*n\/2 + 63009225\/2 = 0 for n.\nAnswer: -510, -323, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459366786?\nAnswer: 2, 3, 29, 101, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 21. Suppose 0 = t - 4 - 12. Does 3 divide y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 312*b + 3856. Give i(-142).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*r - 76, 0 = -3*z - 2*z - 5*r + 205. Let k = z - 36. Suppose -k*v = -6*v - 87. What is the remainder when v is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214411 - 233115?\nAnswer: -451530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838098448.\nAnswer: 2, 11, 4761923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 203123942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28\/3*r**3 - 68*r**2 - 112*r - 80\/3 = 0 for r.\nAnswer: -5, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1903897456 to the nearest 1000000.\nAnswer: -1904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-12 - 3) - (4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7120432 by -7.\nAnswer: 7120432\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 19146*n**2 + 95667*n - 76524.\nAnswer: 3*(n - 6377)*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -809640 from -4256.288.\nAnswer: 805383.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2465*f**2*h**3 + 91279621*f**2 + 7141*h**3 + 2 wrt h.\nAnswer: 7395*f**2*h**2 + 21423*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8318.6 + -8319. Which is the smallest value? (a) o (b) 4 (c) 0.6 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -305, -1120, -2447, -4286, -6637, -9500, -12875?\n\"Answer: -256*w**2 - 47*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3592153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 9*o + 5*x - 5, 2*o - 2*x = -2. Is -3\/13 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**3 + 2*i**2 + 13*i - 16. What are the prime factors of k(-6)?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/10, -2, 75, 0.3, -0.1 in decreasing order.\nAnswer: 75, 4, 0.3, -0.1, -3\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 222220 and -100.\nAnswer: -22222000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0.11, 22969, 1\/7, -5, 3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-50))\/((-99)\/(-45)) - 30\/(-75)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 835088 and 836.\nAnswer: 9185968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6)*-1)\/((-6)\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10109\/3 - -3369. What is the fourth smallest value in 19, 2\/13, q, -2\/11?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56739?\nAnswer: 3, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108611 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/95, 1\/6, -2 in ascending order.\nAnswer: -2, -2\/95, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 15*o**2 - 2*o + 29. Let n be z(18). Let g = n + -666. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 64*o - 23. Let y be m(-63). Solve 5*q = 4*t - 6*t - 15, 4*q = 4*t - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233597 (base 13) to base 15\nAnswer: 76cc43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-248)\/14 + 8\/(-28). Let r = b - -27. What is the remainder when 35 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/1 + 0 + (10 - 5). Solve -5*y - 48 = r*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 69*q**2 + 31*q + 40. Is b(45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, -4, -3, 0.\nAnswer: -15, -4, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87334, 87995, 89096, 90637, 92618, 95039?\nAnswer: 97900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 1619 - 1614 - 1615 + 4854 - w.\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2073*t**2 + 2073*t**2 + 3 + t - 2*t**3 - 5 + 1. What is d(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 + 126. Which is the biggest value? (a) -5 (b) v (c) 3\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4183175581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.7, -1\/4, 22, 1\/5, 2\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 smaller than 528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 672299.2 micrometers?\nAnswer: 0.6722992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610567*h**3 + 3 + 613133*h**3 - 3.\nAnswer: 2566*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 938692397 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 280266793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98846360.\nAnswer: 2, 5, 19, 83, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 + p**3 + (-p - p + 3*p)*(0*p**2 + 5*p**2 - 3*p**2) - p**3 + 0*p**3 + 2*p**3 + (p - 2*p - 20*p)*(0 + 0 - p - 1)*(-1 - 2*p + 1).\nAnswer: -38*p**3 - 42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5054 in 402, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17549968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4452*z + 1672. Determine j(1).\nAnswer: -2780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0165496 to four dps.\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1940 divided by -5.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, r: 4, x: 1, m: 4, b: 3}. Give prob of picking 1 r, 1 b, and 1 x.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-13 - (8 + -7))) + -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 - 13*k + 13*k.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:49 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-160)*300\/2550?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.3. Let r = 0.1 + -0.1. Suppose -133 = -91*c + 231. Put 1.8, z, c, r in descending order.\nAnswer: c, 1.8, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 9947*a + 5 - 6*a**4 + 5*a**4 + 9946*a + 5*a**3 to m*a + i + o*a**3 + h*a**2 + b*a**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1490051 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5524601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -48*m - 2515. Give u(-53).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 347923475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89325 by -3573.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4013213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1789592 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80795819 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226889 - 107862. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -7166382097.\nAnswer: -7166382093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51539 - 49999 = -154*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/(2\/4) - (-22)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -43, -74, -125, -202, -311, -458, -649?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -537, -1078, -1619, -2160?\n\"Answer: -541*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-1)\/(-194)). Let z = -135 - -283. Let m = z + l. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658580395.\nAnswer: 5, 11, 11974189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.80209 and 25.\nAnswer: 24.19791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + (sqrt(132) + sqrt(132) + 2*sqrt(132))*-5))\/(sqrt(432)*2 - sqrt(432)) - (((2*sqrt(88) + sqrt(88))*5)\/sqrt(8) + 5).\nAnswer: -35*sqrt(11)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3335, -6513, -9677, -12821, -15939, -19025, -22073, -25077?\nAnswer: -28031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.3, 0.3, 88, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1919*p + 1699*p + 2042920 = 0. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -214*k + 14. Give t(1).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 44?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.221, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543585543 to the power of 1\/3, to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1080*d**3*t + 3*d**3*y**3 + 56*d**3*y + 77*d**2*y**3 - 11*d*t*y - 3*t*y**3 wrt t.\nAnswer: 1080*d**3 - 11*d*y - 3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/4)*f*f)**(-7)*(f*f\/(f\/((f\/(f**3*f))\/f)))**2)**(-4\/9) assuming f is positive.\nAnswer: f**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 159 - 9 = 0. Which is the fourth smallest value? (a) 3 (b) -0.1 (c) -1\/7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/(5\/(18750\/14)). Let f = -89 + p. Which is smaller: -1.3 or f?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8137789 centimeters to kilometers.\nAnswer: 0.000008137789","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s. Let y(t) be the first derivative of t**6\/180 - 2*t**3\/3 + 14. Let i(f) be the third derivative of y(f). Give i(k(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 0*v**4 - 2 + 0*v + 0*v**2 + 0*v**5 - 2\/3*v**6 + 5\/3*v**3. Find the third derivative of a(k) wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18 - 19)\/(5\/(-75)). Calculate the greatest common factor of k and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1145404403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 5 = 29. Let b(h) be the first derivative of 7\/8*h**t + 9\/8*h**2 - 1 + 1\/2*h + 1\/24*h**6 + 3\/10*h**5 + 4\/3*h**3. Factor b(j).\nAnswer: (j + 1)**4*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 0 + 1)*((-1 + 2 - 3)*(2*l + 2 - 2) + 3*l - 2*l + 0*l) as g + d*l and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11963d0 - -5?\nAnswer: 11963d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082 + 1064 = -s. Calculate the least common multiple of 96 and s.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxn when three letters picked without replacement from {x: 2, n: 2, q: 5, d: 4}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/7919814 and -46\/105.\nAnswer: 39599070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, i: 1}. Give prob of sequence dd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -635.3?\nAnswer: 634.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 14, -7\/4, 0.02, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3\/6 + 21*m**2\/2 - 19*m. Let h be z(16). Solve 4*j - 5*c = -10, -2*j + c + 8 = h*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 854*y + 29 + 28 - 857*y + 145 + 87 in the form m + b*y and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/3)\/((-5)\/(-15)))\/(2\/(-4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8170 or -1\/119?\nAnswer: 8170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -3*j + z + 13, 19 = 5*j + 41188*z - 41189*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*u - 2109 + 2133 = 0, 0 = 2*v + 3*u + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (5 - (21 - 22)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 673 + 5?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*m**(-15)))\/m*m)\/(m\/(m\/(((m*m**(-13))\/m)\/m))*m)*(m\/m**(10\/9))\/m**13 assuming m is positive.\nAnswer: m**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1089352\/39 or 27931?\nAnswer: 27931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 + 9*l**4 + 27*l**3 + 15*l**2 = 0. What is l?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/(4\/8). Let r(x) = -x**3 - 6*x**2 - 7*x - 5. What is the remainder when 8 is divided by r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 3 (c) 1 (d) 0 (e) 0.4 (f) 519537\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*f + 104 = 72*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/165511640 and -53\/420.\nAnswer: 496534920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/16 and (-16)\/96 - ((-19)\/96 - -1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 5. Let a(q) = -2*q**2 + p*q - 3 - 4*q**3 + 2*q**3 + q**2. What is a(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.3. Let r(z) = 87*z - 696. Let n be r(8). Let j = 2 - 0. Which is the closest to y? (a) n (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27707125 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7584533, -15169064, -22753595, -30338126, -37922657, -45507188?\nAnswer: -53091719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212760149, -212760149, -212760151, -212760155, -212760161, -212760169, -212760179?\nAnswer: -212760191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6) + -17 + 21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 14*p + 151. What is the remainder when 211 is divided by q(-19)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, a: 7}. What is prob of sequence aabb?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620382 to the power of 1\/2, to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*u - 58986 = 0, -r - 2632 = -u - 17374. Suppose 184*o - 6726 = 125*o. Suppose 117*m - r = o*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) + (-10 - (-7)\/(-1)). What are the prime factors of 5804\/28 + 6 + 4\/a?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -39, 1\/7, 1\/9 in decreasing order.\nAnswer: 11, 1\/7, 1\/9, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.7 and -1?\nAnswer: 119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(208) + sqrt(208)*-1 - sqrt(26)\/(sqrt(2)*-5))**2)*3.\nAnswer: 264\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 730408?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**3 + 2*b**3 + 0*b**3 + (-8*b**2 - 77*b + 77*b)*(-2*b + 2*b + b) - 3*b**3 + 6*b**3 - 2*b**3 in the form v*b**3 + q + g*b + y*b**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 46459.48.\nAnswer: 46457.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - 0.3. Let y = 0.4 + s. Let l = 0.4 + y. Which is the smallest value? (a) 4 (b) l (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1660*c**2. Let z(d) = -11*d + 31. Calculate z(s(f)).\nAnswer: -18260*f**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 13 - (-7 + -1) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 176 and -0.1602.\nAnswer: -28.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.099981 + -3.1. Round r to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249072 or -2?\nAnswer: 249072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a + 42. Let i be w(20). Let x = -97 - i. Let t(k) = -9*k + 1. What is t(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9205771?\nAnswer: 41, 113, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1. Let z(k) = -2098*k**2 - 4. Determine 4*h(t) - z(t).\nAnswer: 2098*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.46. Let h = -0.04 - i. Let c = -3 - -3.3. What is the nearest to -0.1 in h, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**3 + 116*u**2 + 800*u + 1600 = 0.\nAnswer: -20, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499 + 472. Put 1, l, -1 in decreasing order.\nAnswer: 1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21 + 182\/13)\/(((-6)\/4)\/3). Put -4, f, 3 in increasing order.\nAnswer: -4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7623\/14 - (-12)\/(-8). Suppose -4*t + 432 = -3*c, -2*t + 3*c + b = 3*t. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5549, -5548, -5547, -5546, -5545?\n\"Answer: p - 5550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*j - 1, -j = 2*o - 2*j - 1. Suppose -o*a + 0 + 8 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + f**2 - f - 4*f + 274 + 3*f**3 - 275 - f**4 to v*f**2 + y + w*f**4 + q*f**3 + k*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 429202263, 858404523, 1287606783, 1716809043, 2146011303?\n\"Answer: 429202260*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*a**2*y**3 + a*y - 9*a - 3*y**3 wrt a?\nAnswer: 566*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*-3 + (sqrt(35) - sqrt(140))*-3)\/(5*(-2*sqrt(567) - sqrt(567))).\nAnswer: 2*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9066331 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 3, -1, -5?\n\"Answer: -4*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4029 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 692 and 1038?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7770 = -2*o, 3*o - 3*u - u = 11683. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvf when four letters picked without replacement from vvbvfvfbvvpb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 10*m**2 - 2*m + 10. Let f be n(10). Let w be f + 12 + (-34)\/15. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*b**2 + 0 - 121\/5*b = 0.\nAnswer: -121, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -54, -67, -84, -105?\n\"Answer: -2*y**2 - 3*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26194 < -26194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65944 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (882 - 909) + (0 - (-6 - 0))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7756 and 4781.\nAnswer: 5297348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 5*k + 50, 2*i - 14*k + 9*k = -35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -27*h - 1. Let a be (2\/(-1))\/2 + -1. Calculate the remainder when q(a) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27907 - -38393. Is 70 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:08 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3907, -3903, -3897, -3889?\nAnswer: -3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 36.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4, -14 = 3*l - 5*i - 100. Let r = -33 + l. Which is the biggest value? (a) 0.4 (b) r (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 - o**3 - 2*o - 1 - 5*o**2 - 1 - 2. Suppose -5*p = -5*f + 58 + 42, 2*p = -8. Calculate the remainder when f is divided by a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19601.\nAnswer: 17, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d. Let f(c) be the second derivative of -2*c**4\/3 + 216*c. Calculate f(u(b)).\nAnswer: -512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -13. Suppose 28*m = 10*m + 108. What is the units digit of (2*-6)\/(s + m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(13\/4))**(15\/2)\/(h**23*h\/(h\/(h**(-1\/7)\/h))) assuming h is positive.\nAnswer: h**(141\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (-87)\/(-5) + (-4)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -633*o**3 - 4*o - 4. Let b = -14 + 13. List the prime factors of x(b).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 17*v - 16*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 45*a**2 - 462*a - 159. Determine x(14).\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 15, -0.17, -17, 1\/4, 8, -0.2, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1038*0.11.\nAnswer: 114.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3754, 7756, 11758, 15760?\nAnswer: 19762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x. Let w(p) = -14*p. Let c(k) = 4*q(k) + w(k). Let y(o) = 77 - 77 + 3*o. Calculate y(c(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Suppose 5*o + 58 = -d, -42 = a*o + 2*d - 3. What is the units digit of (-3 + o)*1\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*a**2*k + 8*a**2 + 3*k**3 wrt k?\nAnswer: 26*a**2 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4 + 3912*j**3 + 2522652*j**2 + 517662952*j - 12020029518 = 0.\nAnswer: -659, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4197442467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5140\/33 + 464\/3. Is 0 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 + k**5)*(-817 - 5041 + 1637).\nAnswer: -4221*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -94*y - 573 - 371 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64711 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 2. Put 0, r, -3 in decreasing order.\nAnswer: 0, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 2*d**4 + 2*d**4 + (3*d**3 - d**3 + 0*d**3)*(-3*d - 3*d + 4*d) + (d**2 - 2*d**2 + 0*d**2)*(d**2 + 0*d**2 - 2*d**2).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a factor of 77780387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 18. Let a be n(-5). Suppose d = -a*d + 1251. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -932 divided by 4\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/71)*c)\/(c*(c*c*c**37)\/c))\/((c\/(c\/c**24)*c)\/(c**(10\/3)\/c)) assuming c is positive.\nAnswer: c**(-12715\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**4 - 2*h**3 - 9. Let z(d) = 49*d**4 - 21*d**3 - 91. Let r(n) = -21*x(n) + 2*z(n). What is the derivative of r(b) wrt b?\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.3. Let q = -0.02 + 0.007. Let z = 0.087 - q. Put 0, z, c in descending order.\nAnswer: z, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 39413.96 decades?\nAnswer: 3941.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2 = 10. Suppose -12 - 2 = -n*m. Calculate the greatest common divisor of m and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*f - 0*f - 48, 3*h + f - 32 = 0. Let w = 7 - h. What is the biggest value in 1\/2, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + 2. Let m = n - 11. Suppose 0 = -9*w + m*w - 228. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*d**3*o - d*o + 107*o + 1 wrt d.\nAnswer: -66*d**2*o - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 42.7.\nAnswer: 4.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (512\/(-60))\/8 + 1. Which is the biggest value? (a) -4 (b) 3\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68))**2 + 4.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 136\/(-12) + 1\/3. Let x = 26 + f. Solve x - 5 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 975477875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, t: 6}. What is prob of sequence tttt?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Simplify ((s**(-1\/14)\/s)\/((s\/((s*s*s**(2\/13)\/s*s)\/s*s))\/s)*(s\/s**(-1)*s)**(1\/29))\/((s\/s**1)**(-49))**(-9\/2) assuming s is positive.\nAnswer: s**(6259\/5278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 13*k**3\/4 - 202069*k**2 + 1025787*k + 1119060 = 0.\nAnswer: -12\/13, 6, 62170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174529, 349049, 523571, 698095, 872621?\nAnswer: 1047149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 4*l, 1 = -3*p + 4*l + 6. Suppose 2*w - a - p = 0, -w + 4*a = 3*a. Let o(t) = 0 + t**w + 0 + 0 - 2. Let s(i) = -2. What is -2*o(u) + 3*s(u)?\nAnswer: -2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79368, -79365, -79362, -79359, -79356?\n\"Answer: 3*q - 79371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 12 = -3*w. Let r = 2 - 0. Suppose 3*c + 3 = -2*b + 20, -2*b + r = 0. Solve -3*n + 4*m = 4, -5*m + 6 = -c*n - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 6*n**2 - 9*n. Let v(r) = -7*r**3 + 17*r**2 - 27*r. Let u(f) = -17*d(f) + 6*v(f). Find the second derivative of u(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 - -230. Calculate the greatest common factor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 1. Let s be u\/(-3) - 38\/6. Sort 5, -5, s.\nAnswer: s, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35055 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 less than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70112964 by -615026.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2947*s**4 - 2959 wrt s?\nAnswer: 11788*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 422, 846, 1270, 1694?\n\"Answer: 424*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 294294 = 4*o + 2*o. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -33.46.\nAnswer: 33.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47664 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -270.2 * 0.019.\nAnswer: -5.1338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 72 - 36)*(0*z + 3*z - 5*z) to the form f + y*z and give y.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(432) + (sqrt(432) - -2*sqrt(432) - sqrt(432)) - sqrt(432))) + (2*sqrt(432) + 1)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 4*v**2 - 3*v + 6. Let n be -17 - -14 - (-7)\/1. Calculate r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**2 - 3*v + 3. Suppose 3*p - 8 = 2*i, -4*p - 13*i - 29 = -10*i. Determine a(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*w + 2*a - 11, 2 = 5*w - a. Let n be (-14)\/(-10)*(w - -553). Let j = n + -61673\/80. Calculate the common denominator of -121\/12 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110458*11\nAnswer: -111215038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*f = -5*f + 113, -24 = -b + 4*f. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55362, -55371, -55386, -55407, -55434, -55467?\n\"Answer: -3*c**2 - 55359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5188*i**3*v**3 - 208*i**3 + 16*i**2*v**3 - 1429*i**2 + i*v**3 + 8*i wrt i.\nAnswer: 31128*v**3 - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54*84\/63)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 29 + (-17 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(90)*2)\/(sqrt(3) + sqrt(3) + sqrt(3) + -4*(sqrt(3)*1 + sqrt(3))))\/((sqrt(42)*1 + sqrt(42))\/sqrt(7) + sqrt(18)\/sqrt(3)*4).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oujuffooujfoojo. What is prob of picking 2 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 21*a + 146. Let p be t(-10). Let o(z) = z - 5. Let i be o(7). Let y = i - -4. Calculate the greatest common divisor of p and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-8) + 2\/(-8). Let i be k\/(2\/(1 - -43)). Suppose -19*o = -i*o + 501. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 8*i = 3*i - 16, -4*m = -4*i - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = -14*l + 2*h + 16, 4*l - 5*h - 40 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 5:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1119 = -3*k - 1089. What is the highest common factor of k and 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/(6\/(-90)). Let h = -12 + s. Solve -h = -q - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3561, -3522, -3457, -3366, -3249, -3106, -2937?\nAnswer: -2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*i**3 + 1193*i**3 - 2305*i**3.\nAnswer: 83*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + k + 4*k = 11, -5*k + 5 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxx. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)*1\/36. Let k(a) be the second derivative of 0*a**2 - 1\/120*a**5 + 0 + h*a**3 + 2*a + 0*a**4. Factor k(u).\nAnswer: -u*(u - 1)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35837 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 3*g + 3. What is n(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868275164 minus 3?\nAnswer: 2868275161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: c65 (base 15) to base 5\nAnswer: 42140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.549 + -0.449. Which is the third smallest value? (a) -0.5 (b) r (c) -349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) -2 (d) 2 (e) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16769 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-8) + 10353\/(-4872) - 1\/(-16).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 11*n - 4. Let o(i) be the second derivative of -i**4\/6 + 2*i**3 - 5*i**2\/2 - 910*i - 4. Calculate 5*o(q) - 6*s(q).\nAnswer: -4*q**2 - 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/75*((-3264)\/(-187))\/(-32)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834635804?\nAnswer: 2, 367, 509, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(140)*1 - sqrt(140) - sqrt(140))*-5)\/sqrt(5) - ((sqrt(5600)*2)\/sqrt(8) + 4)) + 3)**2.\nAnswer: 900*sqrt(7) + 6525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.32 + 39.72. What is the nearest to 0.1 in 0.4, -0.6, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 + 2*l + 4. Let s be k(0). Solve -s*n + 4*g + 8 = 0, 4*n + 17 = -4*g + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21275 + 4?\nAnswer: 21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**2 - 3*b + 1 - 2 + 3*b**2. Let t = 1368 + -351. Let y = -1019 + t. Give v(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5614088 is divided by 29862?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2631094, 5262094, 7893094, 10524094?\nAnswer: 13155094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose 6 = -7*g + 4*g, 5*s - 4*g = 18. Let c be ((-7)\/1*-1)\/1. Solve 3*h - 5*u = c, s*h + u = l + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 4. Suppose 16 = j*i - 2*i. Calculate the lowest common multiple of 8*1 - (-2 + -1) and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 605 and 8454185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54004 (base 6) in base 5?\nAnswer: -213343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*y + 28*y = 23*y - 37245. Calculate the smallest common multiple of y and 18.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 23 = -2*b + 3*g, 2*b = 5*g + 3. Suppose -4*q = d + 7, q = -q + 5*d + 13. Let m = b + q. Solve m*s - 3*h = 8*s - 3, 29 = 3*s - 5*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23705\/12 + 1972. Let i = 1121 - 6685\/6. What is the common denominator of a and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.46*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*c + 3*g, g - 11 = -3*c + 2*g. Suppose s = c, 7*t - 3*t - 5*s - 3973 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 6*r + 19. Calculate n(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 509 + 180. Let z = b + -53. Solve z = -0*y + 2*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 124, -1, 58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - 4 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 9*t**2 - 5*t - 13. Calculate the remainder when 394 is divided by l(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(sqrt(2448) + 0 + sqrt(17)).\nAnswer: -13*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, n: 5, w: 3, k: 4}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*a + 3, -2040*a = -2038*a - 5*c - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {k: 1, a: 1, c: 1, v: 1, i: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15243328*3\nAnswer: 45729984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 9*v - 11. What is the remainder when s(15) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 188 = -4*o - 122, 5*k - 3*o - 315 = 0. Suppose 3*v - 4*v = -k. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9396 is divided by 8593?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**3 + 17*f**3 - 42*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -12\/3599, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 1:22 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 g, and 1 n when four letters picked without replacement from bbpgpbsggwnnppbggggg?\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -3, -63, -195, -423, -771, -1263?\nAnswer: -1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let o(w) = -22*w - 29 + 29. Give b(o(g)).\nAnswer: -44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3274)\/(-6)*2*(-51)\/(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 7*o**2 + o + 5. Let l be t(-7). Let b be l\/5 + (-114)\/(-10) + -7. Solve b*j = q - 11, q = 4*j + 4*q + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18*(6\/(-4))\/3. Let q = 3 - j. Let h = 4 + q. Is h at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 40, 4, -2, -1, 39, 11 in descending order.\nAnswer: 40, 39, 11, 7, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 3*f**2 - f**2)*(3*f + 0*f - 13*f) + (-8 + 3*f**2 + 8)*(0*f - 2*f + 0*f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + 167*n - 109. Determine s(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (4 - (11 + -4 + -4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/2 (b) 3 (c) 373017 (d) -1 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-4)*9\/((-27)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.006 and -71.4.\nAnswer: -0.4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(48) + (-1*sqrt(48) - sqrt(48)))*5.\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i - 1 + 3*i + (0 - 2*i + 0)*(1 - 2 + 0))*(-6*i**2 - 4*i**2 + 2*i**2).\nAnswer: -24*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 36*c**2 - 75*c + 238. Calculate the remainder when u(-34) is divided by 98.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886629837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49509 + 49771.59. What is g rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30)*7\/(210\/75).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/4 of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -7d?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-50)*(-675)\/405.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k + 4 - 22. Solve 0 = 7*l + k + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29989 + 29990. Suppose -4*r - 3*n = 6, 6*r - n = 2*r + 2. What is the closest to 3 in r, -2, 4\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9476 by -4.\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 730.46.\nAnswer: -16800.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*351\/(-1456)*-14?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.2 - 27.8. Let x be 5*13\/(-315) - (88\/56 + -2). What is the closest to z in 3\/2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, v: 2, n: 4, o: 10}. Give prob of sequence vv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*1*4\/4. List the prime factors of (-4 + u - -5) + 69.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 12*k + 7*k + 0*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -346 and 0.145020462588.\nAnswer: -345.854979537412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j. Suppose 9 - 23 = -7*a. Let d(c) = -a*c - c - 1 + 1. What is d(o(r))?\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3104 = 12240. Suppose -2*k + 3*k = r. Let s = k + -2646. Round s to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 3?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2)\/(2\/(-136)). Let h = k + 20. What is the greatest common factor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26323723 to the power of 1\/2, to the nearest integer?\nAnswer: 5131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*(2*(-50)\/28 - -3). Suppose -2*s - 4*l + 73 = -19, -k*l = 8. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1429, 1556, 1779, 2146, 2705, 3504?\n\"Answer: 8*q**3 + 71*q + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = -2*x, -x - x + 5*u - 1 = 0. Suppose -3*m + 5*y = -959, -4*y = -x*m - 44 + 682. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/5 + -13\/20. Let u = -3.75 + -0.25. Sort u, i, 2\/5 in ascending order.\nAnswer: u, i, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(4*i - 2*i - i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -205 + -128. Let n = 332.801 + f. Let p = -0.2 - n. Round p to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 239544 and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab2 (base 14) to base 10.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2\/17 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*c = 0, 0 = -0*b + 3*b + 4*c - 21. Factor 4*d**2 - 2*d**2 - b*d - 3 + d**2 + 3*d**3.\nAnswer: 3*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28883*g**4 + 3901*g**3*u + 172920940*u with respect to g.\nAnswer: -115532*g**3 + 11703*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:33 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 43. Suppose -4*n - 7*c + 2*c + 68 = 0, -5*c = n - r. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -418360, -836728, -1255096, -1673464, -2091832, -2510200?\n\"Answer: -418368*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11670.\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91015147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 739. Calculate j(17).\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, i: 1, r: 1, y: 4, u: 2, q: 1}. What is prob of picking 1 r, 1 s, 1 y, and 1 q?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458034989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*-79.705\nAnswer: -318.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170464 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -44) + (11 - 11). Let s be z\/12 - 2\/(-6). Let v = 18 - 14. Solve s*k + 29 = -4*h + h, -v*h = -k + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 645*z + 3250.\nAnswer: -(z - 650)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i + 3. What is b(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -256, -587, -1060, -1681, -2456, -3391?\nAnswer: -4492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and -102?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2926\/88 - 33)*188\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 15. Let o be x(10). Let w = -36 - o. Let z = 31 - 30. Put -17, w, z in increasing order.\nAnswer: -17, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -690, -703, -716?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k. Let n(v) be the third derivative of -v**7\/1260 - 47*v**5\/30 - 20*v**2 + 2*v. Let g(f) be the third derivative of n(f). Determine g(i(l)).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57 * -0.05773.\nAnswer: 0.0329061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 1. Let q be (-10)\/15*(5 + a). Suppose 0*n + 4*n - s + 5 = 0, -n + s - 5 = 0. Is q equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107029327 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 4)*(-6*z - z + z) + (-2 - 2 + 1)*(-49 + 22 - 3*z + 22) to the form q*z + k and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-16))\/((-1)\/56). Suppose -b = 3*b - w. What is the highest common divisor of 42 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 14. Let d be g(-10). Let l be 56\/d*(-4)\/(-14). Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let q = 673\/1603 + 2\/229. What is the third biggest value in 3, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25767807 and 13874973.\nAnswer: 180374649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by -643.\nAnswer: -132\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/190280 and -43\/737.\nAnswer: 2093080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 22\/175?\nAnswer: 22\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Let t(j) = 2*j + 40457906 - 3255*j**2 - 40457906. Determine p(t(v)).\nAnswer: 6510*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -25*a + 20*a, 3*a - 2*f = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2448) - (sqrt(2448) + 2 + 1)) - (sqrt(2448) + sqrt(2448) + 0 + -3 - (-1 + sqrt(2448) + 5)))**2*-6*-1 + 4.\nAnswer: -288*sqrt(17) + 14716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 19*x = -25*j + 29*j - 4, 13*j = 4*x - 33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/41 (b) 25 (c) 5 (d) 14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 + 9*s + 11. Let f(b) = -4*b**2 + 10*b + 11. Let j(t) = 4*f(t) - 3*v(t). Let l be j(14). Let g be 8 + l + 1\/2*2. Solve -u = -g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(2 - 4 - 2)*(-7*n - 18*n + 6*n) to z + w*n and give w.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83 - 69?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/8, -1\/4, -156, 5 in descending order.\nAnswer: 5, -1\/8, -1\/4, -0.5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-5)\/2)*((-167)\/(-334))\/(20\/6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, -1238 in ascending order.\nAnswer: -1238, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 189*m**4 + 42*m**3 - 42*m - 63. Let q(s) = s**4 + s**3 - s - 1. Let d(x) = l(x) - 42*q(x). What is the first derivative of d(j) wrt j?\nAnswer: 588*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/15 - 88*q**2. Let u(r) = 2*r**2 + 3*r**2 - 6*r**2. Let s(o) = 4*o**2 - 6. Let g be s(0). What is g*u(p) - d(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*z - 710*z**3 + 2 + 352*z**3 + z**2 + 363*z**3 + (12*z - 3*z**2 - 12*z)*(-z - z + z) in the form y*z + q*z**2 + b*z**3 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6783 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/8)\/(-1) + 2\/8. Which is the fourth biggest value? (a) -5 (b) k (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpkkuu. What is prob of picking 1 p and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-147)\/(-15) + (-4)\/(-20). Let r = -8 + i. What is the derivative of -r*b**2 + 8 - 3*b**2 - 4 - b**2 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19759 to three dps.\nAnswer: -0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1083841 - -864708. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (7 - -2 - 12) - -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snqsssqqnsdssnndsdsq. Give prob of sequence qnqs.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -97172844 divided by 948?\nAnswer: -102503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.954 - 0.014. Let u = 0.06 + m. Let f = 0.7 + -1. Which is the nearest to -0.1? (a) f (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6552.2 + -3515709.\nAnswer: -3509156.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4802 - 4802. Solve 6*w = w, h = -3*n - 3*w + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 68280.\nAnswer: 477960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/8 - 3083287*s\/8 + 9249879\/4 = 0?\nAnswer: -3083293, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.93845 milliseconds to microseconds.\nAnswer: 77938.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4002 and 1218?\nAnswer: 28014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*m + 146*m = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 + 4*k + 2. Let h be s(-4). Let y = h + -2. Is -2\/5 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540287573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119230\/69 + -1728. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 5:46 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6916, -26837, -60030, -106489, -166208, -239181, -325402, -424865?\nAnswer: -537564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p, -2*p + 4*p = -3*m - 20. Let n(x) = 8*x**2 + 8*x + 8. Let w be n(m). Let a = w + -1238. What is a rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2579 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 65674.5 nanometers?\nAnswer: 0.00656745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 10*t**2 - 20*t + 45. Let x be m(-12). Suppose 3*s = -5*h + 15, -5*h + h + 5*s = -12. Put x, 8, h in ascending order.\nAnswer: x, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 77*i - 76*i - 95, -4*i + 260 = 5*c. Let t(z) = -z**3 + 8*z**2 - 2*z - 7. Let y be t(5). Are y and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w**(8\/7))\/(w*w**(-1\/22)*w*w**8) assuming w is positive.\nAnswer: w**(-5435\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.45 + -0.45. Let o = -8 + 6. Is o less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -839\/1245 - -3\/415. Let p be ((-8)\/(-20))\/(3\/965). Let l = p - 126. Sort y, 1, 3, l in decreasing order.\nAnswer: 3, l, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -18. Let y = 7\/11 + -38\/77. Put -0.2, o, y, 1 in descending order.\nAnswer: 1, y, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1378\/15 or -2\/25?\nAnswer: 1378\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + u = 9 - 48, 27 = 2*p - 3*u. Let s be p\/45 - 2\/10. Let f(l) = l + 20. What is the units digit of f(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1 - 6 + 8*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2. Let r(i) = -i**2 - i - 1. Let j(z) = 2*z + 2. Let h(o) = j(o) + 2*r(o). What is 6*a(x) + 13*h(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {w: 2, c: 2, m: 1, p: 12, a: 1}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (16\/(-40))\/(1\/10). Let m(r) = r**3 - 4*r**2 - 2*r + 6. Let n be m(4). Let t be n\/(-6)*3 - 2. Put u, t, -4 in ascending order.\nAnswer: -4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.66 - 5.06. Let y = -6 + 7. What is the nearest to 1 in y, 3, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65.056 + -0.056. Let t = -1.49 - 62.51. Let a = h + t. What is the closest to 1 in a, 0.2, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88.836 + -278.675. Let w = 0.661 - p. Round w to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -44. What is the second derivative of -107*j + 51*j - 28*j**5 + m*j wrt j?\nAnswer: -560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/21*(-108)\/(-72)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*p**2 + 235*p**2 + 100*p**2.\nAnswer: 289*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 - 9 + 6*a**2 + 2*a**2 - 33*a + 16*a + 19*a. Let l(f) = f**2 + f - 5. Determine -5*l(m) + 2*q(m).\nAnswer: -m**2 - m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289.701 - 0.701. Let k = d - 312.7. Let a = -23.70000113 - k. Round a to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-9))\/((-2101)\/14516*-646).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110110111110 (base 2) in base 5?\nAnswer: 2243012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {s: 1, f: 2, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/44)\/(609\/(-17864))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.459 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*(((-6)\/4)\/((-27)\/6))\/(-1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108653031 divided by 42261?\nAnswer: 2571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 1. Let q(d) = d - 5. Let r(b) = 4*b - 15. Let u(z) = -11*q(z) + 4*r(z). Determine -4*s(a) - u(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 + 115*u - 20. Is z(10) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from {u: 16, p: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -24507 not equal to -24507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5 + (29988\/140)\/(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 52) + (7 - 2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(252) + 3 + sqrt(252))*-1)**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -22, -24, -26, -28?\n\"Answer: -2*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -521.7123713 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 11 = 6*y. Suppose 3*p - 11 = v, -2*v + 2*p = -2*p + y. Let x = 6 - -8. Calculate the least common multiple of v and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/182580 and -191\/3651600.\nAnswer: 3651600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 978\/21241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = -2*u - 10, -3*d = 2*u + 8. Let w(a) = a**3 + a**2 - 2*a - 5. Let t be w(d). Sort -8, 5, t in increasing order.\nAnswer: -8, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 374\/1683*3\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 14*z - 9*z + 41 = 0, 6 = -4*i + 2*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 35*r - 306. Determine t(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s + 1 - 1.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-8\/5))*t)\/t**(-7\/9))\/((t*t\/(t*t*t*t**(-32)))\/t*t*t*t**(2\/3)) assuming t is positive.\nAnswer: t**(-1462\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4737, 19014, 42825, 76170, 119049, 171462, 233409?\n\"Answer: 4767*p**2 - 24*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 4*b**2 + 7*b + 12. Let n be u(5). Suppose 2 = -2*d - 2*k - 2, -d + 5*k = -n. Find the first derivative of 2 - 792*j**2 + 793*j**d + 1 wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*f = 34 - 14, 0 = 5*m - 5*f - 200. Solve d - 2*z + 5 = 0, 5*z = -3*d - 2*d + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 3134118?\nAnswer: -3134124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 5*s - 5. Let a be p(6). Let y(c) = -a + 3*c**2 + 0*c + 0*c. What is the units digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-23)\/(d**(-42)\/d)*(d\/(d\/(d*d**(-2\/9)\/d*d*d))*d*d)\/d**8 assuming d is positive.\nAnswer: d**(142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:55 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 9*w + 4. Let o be k(-10). Let a be (6\/(-2))\/o*2. Solve -2*g + a = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15688 and 183168?\nAnswer: 6777216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 5) to base 16\nAnswer: -2f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from {l: 1, s: 1, u: 2, k: 5, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z + 27*z = -25*z - 76*z - 11529 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1007 - -2038. What are the prime factors of t?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 8*d**2 + 3*d + 25. Calculate u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 5. Suppose 2*b = -2*b - 4. Let s be 2 + b - 4 - 1. Is r(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 8 + (-17 - 14) + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*8\/(-32)*(-108)\/12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:48 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522626651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + c**2 - c - 41. Let m be h(-5). Let g = -131 - m. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-325)\/15*(-18)\/(-12))\/((-306)\/51))\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miy when three letters picked without replacement from {y: 1, m: 5, i: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5 = 3*s, -19 = -j + 2*s - 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 732*p + 2928. Let u be d(-4). Solve -2*r**4 + 0 + 1\/4*r**2 + u*r - 7\/4*r**3 = 0 for r.\nAnswer: -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 108 = 2*o, 0 = -2*o - 2*d + 49 + 63. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 14}. What is prob of sequence lv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**2 + 4*j + 8. Let k be a(-7). Suppose 4*w - 1195 = 2293. Suppose 5*f - w = -k. What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x + 5. Let h be n(0). Suppose 3*m - 3*y = 3, 2*m + 3*y = -2*y - h. Suppose w - 4 + m = 0. Calculate the greatest common divisor of w and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 8*h**2 + 9*h - 5. Calculate k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-2\/7))\/f*f)\/(f\/(f\/f**(1\/11))*f*f))\/(f**(-4))**(4\/15) assuming f is positive.\nAnswer: f**(302\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111\/7 - -263\/21. What is the second smallest value in 0.1, 2, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/7, 4, -3\/73?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t - 35*t - 40*t + 157*t - 43*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304 + 27*n - 304.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108106 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 3*s**2 + 0 + 0*s - 1\/24*s**4 + 0*s**3. Calculate c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371861623?\nAnswer: 7, 4463, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321102?\nAnswer: 2, 3, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/16 - (0 - -2). Let o(s) be the third derivative of s**5\/60 - 5*s**4\/12 + 3*s**3 + s**2 + 23. Let w be o(2). Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b - 8. Let y(q) = -3*q. Calculate t(y(f)).\nAnswer: -36*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23916, -47824, -71734, -95646?\n\"Answer: -m**2 - 23905*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 149*x + 171. Let o(h) = -298*h - 342. Let p(l) = 11*g(l) + 6*o(l). Differentiate p(u) with respect to u.\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29\/4, 1\/5, -3\/2, -2\/25?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1373 + -808. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 33*w + 67. Let a be p(-2). Solve -17*u + a*z + 5 = -15*u, 4*u - 4 = 4*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -436.27 - 157.\nAnswer: -593.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - 0.435582209622?\nAnswer: -63.435582209622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 115\/104617?\nAnswer: 115\/104617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r + 54*r + 1651 - 1 = 19*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -178*w + 133*w + 46*w - 3*t, -5*w + 2*t = 34 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*u**4 + 4244*u**3 - 793021*u?\nAnswer: 456*u**2 + 25464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p + 3. Let b be s(4). Let u be (b\/((-2632)\/(-6)))\/(3\/96). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018752128781 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/19 and -49\/29.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1644166.\nAnswer: -3288332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2736 - -5473\/2. Let n = -175 - -207. Factor 8*d - y*d**2 - n.\nAnswer: -(d - 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125265, -125264, -125263, -125262?\nAnswer: -125261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*c**5*g - c**3*g + 6050*c**3 - 2*c*g - 117*c + 731*g - 6 wrt c?\nAnswer: -6840*c**3*g - 6*c*g + 36300*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2\/8 + 1830513*i\/2 - 3661032 = 0.\nAnswer: -2440688, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 4, d: 7, t: 2, c: 3}. What is prob of sequence cd?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665 a factor of 318451510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 4*y**2 - 1. Let n be 5\/(1\/(1 + -2)). Let o be p(n). Is o*1*(-8)\/(8\/3) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from kbainni.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -71, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11148, -22328, -33542, -44790, -56072, -67388, -78738?\n\"Answer: -17*p**2 - 11129*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*1 - sqrt(152))\/(6*sqrt(8)*1) - (0 + ((sqrt(76) + (sqrt(76) - (1 + sqrt(76))) - sqrt(76))*-3)**2).\nAnswer: -9 - 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 12*w**2 - 5*w**2. Let o(j) = 2*j**2. Calculate o(a(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 362900047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1810, -3621, -5432, -7243?\nAnswer: -9054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 22 (b) 2\/55 (c) 326.1 (d) -1\/2 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**16*(x*(x*x**(2\/5))\/x)**(1\/13)*(x*x**(-3)*x*x*x**3*x)**46 assuming x is positive.\nAnswer: x**(11447\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61.3 + -91. Let w = 51 - 84. Let r = a - w. Round r to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 13*z**2 - 12*z**2 - 2*z + (0*z + z - 3*z)*(3*z + 3*z - z) to the form g*z + u*z**2 + m and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*l**2 - 5*l**2 - l**4 - 3*l**3 + 3*l**2 + 0*l**2 = 0. What is l?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68626 and 169197403?\nAnswer: 338394806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 71*y - 4. What is g(-1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 2*h + 1. Let w be x(3). Let a be 2\/(-4) + (-90)\/(-12). Let k = w - a. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-633 - 626 + 1298)*(-u + 2*u + 8 - 7) in the form x*u + a and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582868813.\nAnswer: 582868813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 4*p**3 - 3*p**3)*(-69*p + 138*p - 68*p + 55).\nAnswer: 3*p**4 + 165*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17302 divided by -2.\nAnswer: -8651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 18*j**2 - 5*j**2 + 21*j**2 + 2*j**3 + 0*j**3 to z*j + r + i*j**2 + h*j**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let x(a) = -a**3 - 21*a**2 + 23*a + 31. Let t be x(-22). Let c be 80\/(-36) - p\/t. Is c != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 1, p: 3, i: 12}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -39*d**2 - 792*d + 150544. Let a(v) = 5*v**2 + 2*v. Let x(w) = -40*a(w) - 5*s(w). Determine g, given that x(g) = 0.\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Suppose -3 = -4*i - h*u + 5, 3*i - 4*u - 37 = 0. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -447*g + 898*g - 453*g - 2 - 2 + g + 2 - 2*g - 2 + 2 + (-5 - 1 + 5)*(g - 2*g + 0*g) + 2*g - 2 + 2 + 2*g - 4*g + g as k + b*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (625\/(-75))\/(-25*(-4)\/(-120)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 416*s**3*y**3 - 52*s**3*y**2 - 64581*y**3 wrt s?\nAnswer: 1248*s**2*y**3 - 156*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27a - -10?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*(-316)\/(-2). Let p = 127 + u. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 5 (c) 0 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*n + 341*n**2 - 341*n**2 + 43*n**5 wrt n.\nAnswer: 860*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(61 - 26*v - 61) + (0*v - 2*v + 4*v)*(3 + 1 - 5).\nAnswer: -54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -707\/157?\nAnswer: -707\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1067, 963, 859, 755, 651, 547?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 29*t + 14. Let m(y) = 49*y. What is o(m(i))?\nAnswer: 1421*i + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000882389 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.4. Suppose 4*r - 6 = 6. Let s = 0 + r. Which is the biggest value? (a) 2 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 34*o - 98. Let l be q(3). Solve -2 = t, l*t - 23*t = -3*v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1760870.124483 + 1760871. Let m = k - 0.9255. Let n = -0.05 - m. Round n to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Suppose -t*d + 1 + 398 = 0. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10050314 + 500?\nAnswer: 10051214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*c + 365 = -d, d - 105 = -4*c. Let r = -79 + d. Suppose -r*u - 44 = -302. What is the highest common divisor of 473 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**4 + 5*h**2 + h + 82. Let s(c) = -5*c**4 + 4*c**2 - c + 83. Let a(n) = -5*s(n) + 4*v(n). What is the first derivative of a(g) wrt g?\nAnswer: 20*g**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 30. Let g = 6 - 4. What is the remainder when k(5) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b + b. Let o = -1 + 1. What is the nearest to 0.1 in o, -1\/4, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84) - -3*2*sqrt(84)))\/(-4*(sqrt(588) + (sqrt(588) - sqrt(588)*-2)) - sqrt(588)).\nAnswer: -6*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 26*v. Suppose 4*s - 24 = -2*g + 4, -3*g - 3*s = -45. Let z(t) = -5*t. Let i(r) = g*z(r) + 3*c(r). Let n(m) = -m. Give i(n(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 734 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 98384*z + 604963216.\nAnswer: 4*(z + 12298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-44))**(-1\/13)\/((t\/(t*t\/(t\/(t*t**(-3\/5)*t))))\/t*t**(-1\/4)*(t*t\/(t\/t**(2\/7)))\/(t\/(t\/t**6*t))) assuming t is positive.\nAnswer: t**(5423\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 + 2 = -5*m, d + 7 = 2*m. Is 1346\/m*(1 + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 70 = -214. What is the tens digit of (-38)\/(-3) - (-12)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -28. Let j be (-16)\/(-9) - v\/36. Let p(l) = l - 3 - 3 - j*l + 0. Determine p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 854*b**2 + 49*b + 2694. Let u(y) = 854*y**2 + 56*y + 2695. Let j(v) = 8*l(v) - 7*u(v). Differentiate j(w) wrt w.\nAnswer: 1708*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/3)*(q**0*q)\/q)\/(q**(1\/7)\/q**3))**(-32) assuming q is positive.\nAnswer: q**(-1024\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 3}. Give prob of sequence gbbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 - 35 = 19*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 85?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -188673*j + 2075407. Determine f(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 5 - 7*l + 3 - 2 - 2. Determine x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*j**4 + 6*j**3 + 668?\nAnswer: 104*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**3 + 8*r - 6. Suppose -8*j + 15 = -9*j - 2*i, 2*j = 2*i + 24. Let p(l) = -5*l**3 + 9*l - 5. Determine j*z(d) - 4*p(d).\nAnswer: 2*d**3 - 12*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -3*h**6\/10 - h**4\/4 + 12*h. Find the third derivative of u(z) wrt z.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Suppose -14*z + 40 = -4*z. Let i(r) be the third derivative of 0 + 4*r**2 + 1\/12*r**z + 0*r**3 + 0*r. Calculate i(x(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*d**5 - 105*d**5 - 55*d**5 + (3 - 5 + 3)*(-5*d - 2*d**5 + 5*d) + 107*d - 107*d - 60*d**5.\nAnswer: -139*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104313\/2673 + -76 + 37.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22319.6cm in kilometers?\nAnswer: 0.223196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -7*s**6\/15 - s**3\/6 + 26*s**2 + 10*s - 34. Let g(d) be the first derivative of t(d). What is the derivative of g(a) wrt a?\nAnswer: -56*a**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 + 2080*c**2 + 4145*c + 2070 = 0. Calculate c.\nAnswer: -414, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 4:53 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 - (0 + 5) - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:16 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 18. Let t be g(-21). Suppose 4*l - 5*l + 1 = 0. Calculate the highest common divisor of t and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 2*m**3 + 0*m**3)*(-4*m + 3*m + 2*m) + m**4 + 2*m**4 - 5*m**4 - 16*m**4 - 10*m**4 + 7*m**4.\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17623735.\nAnswer: 5, 19, 29, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - b**3 + 9*b**2 - b**3.\nAnswer: -4*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 10 - 202047*q + 7*q**4 + 202046*q + 7*q**2 - 3*q**4 to p*q**2 + g*q + a*q**4 + u*q**3 + o and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.2 + -24. Let g = w - -1.8. Which is the nearest to g? (a) 0 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millennium in centuries?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2012, 4029, 6048, 8069, 10092?\n\"Answer: j**2 + 2014*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1706\/24763 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u + 12 - 6*u - u**2 + 4*u**2 - 41. Let g be q(17). Suppose v = 239 + g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -286952, -286957, -286962, -286967?\n\"Answer: -5*x - 286947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1072 + -558. Put 2, 4, -1, j in descending order.\nAnswer: j, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192 + 191. Does 11 divide (2\/8)\/s - 21660\/(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(13) - (sqrt(13) + sqrt(325))))**2*1 - 3*((sqrt(156)\/(sqrt(12) + (sqrt(12) + sqrt(12)*-3 - sqrt(12)) + sqrt(12)))**2 + -1).\nAnswer: -120*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 3933.\nAnswer: 121923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a08 + 396?\nAnswer: -2642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -211*d**4\/12 - 101*d**3\/3 + d**2 - 20. Differentiate v(j) wrt j.\nAnswer: -422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let b(y) = y**2 + 4*y + 24. Calculate -b(i) - 5*t(i).\nAnswer: -i**2 + i - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 1238 = -26*p - 875 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, 0.172, 0.1, 36.92?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 3*a - 2*a)*(3*a**3 + 2*a**2 - 4*a**3 - 5*a**3).\nAnswer: -6*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -98243.1 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**2 + 4*q + 1. Let j(v) = -14*v**2 + 5*v + 1. Let m = -25 - -23. Let s(b) = m*j(b) + 3*h(b). Calculate s(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 986082 or 986087?\nAnswer: 986082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202221220 - 102?\nAnswer: 2202221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 3. Let h(u) = u - 1. Let l(c) = -2*h(c) - y(c). Let q be ((-2)\/(-6))\/(-3*3\/27). Let o(m) = 4*m**2 - 1. Give q*o(v) + 2*l(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 263933.5g in milligrams?\nAnswer: 263933500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 15 = p. What is the remainder when 21 is divided by p\/((-20)\/32 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 1. Let j(k) = 9*k**2 + 2*k + 7. Let t(n) = j(n) + 5*l(n). Suppose -3 = 4*p + 5*a, -5*p + a - 4 = 7. Is t(p) 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 790921390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48, -55, -66, -81, -100?\n\"Answer: -2*l**2 - l - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/6*(-9)\/10. Let h = 86.1 + -79. Let f = h + -7. What is the nearest to f in 4, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 + 215. Let r(p) be the first derivative of -p**3\/3 - 2*p - 1. Let h(m) = -4*m**2 - 11. Determine i*r(v) + 2*h(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9332, 2, 249 in descending order.\nAnswer: 249, 2, -9332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 0.0337 (c) -4\/7 (d) -0.16 (e) 1\/2 (f) -3\/7 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9248?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**2. Let a(x) = 1678*x. Determine a(t(f)).\nAnswer: -18458*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -19*u**6\/180 - 17*u**5\/90 + u**4\/18 - 692*u**2. Factor l(c).\nAnswer: -2*c*(c + 1)*(19*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334934804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -110.\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 518\/10619 - 313892\/(-82)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 + 352. List the prime factors of j.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 31*c**2 - 5*c + 14. Let b be n(25). Let x = b + -2427. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219728300 rounded to the nearest 1000000?\nAnswer: 1220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001316 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7288188 divided by -6.\nAnswer: 1214698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 16, -i + 44 = i + 3*b. What is the remainder when i is divided by 9 + 4\/2 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-9))\/(8\/40056) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1814831ml in litres?\nAnswer: 0.0001814831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*g - 5*i + 6*i, 0 = 2*i + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9945 + 95*m**3 - 289*m**3 + 9945 + 90*m**3 + 77*m**3.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/2 (b) -1289\/9858 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 2. Let z be i(1). Let x = -15.1 + 20.1. What is the second biggest value in x, 3, -3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/3 (c) -84 (d) 0 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Suppose -2*v + 0*v + 5*n + 153 = 0, 0 = f*v - 2*n - 246. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o**3 + 2*o**2 - o. Suppose -5*k = -k - 140. What is the remainder when k is divided by h(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63321, 63278, 63219, 63138, 63029, 62886?\nAnswer: 62703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(4\/5)*u))\/(u**(-2\/11)\/u) assuming u is positive.\nAnswer: u**(21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**2*k**2 - 388*d**2*k - 45*d*k**2 - 4*d - 2*k wrt d.\nAnswer: 8*k**2 - 776*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 + 4*j**3\/3 - 2*j**2 + 304. Let d(w) = 3*w**2 - 3*w. Suppose y = -0*y + 4. Give y*d(u) - 3*m(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310 at most 3111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t = -27. Let p = -18 + t. Let d = -11 - p. Let j(y) = -3*y. Determine j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097837 rounded to 5 decimal places?\nAnswer: -0.00978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -216 (c) 244 (d) -0.01 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 2 + 31)*(-m + 0*m + 0*m).\nAnswer: -96*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/2 - 51*g**3\/2 - 63*g**2 = 0.\nAnswer: -14, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -814, -1423, -1936, -2305, -2482, -2419, -2068, -1381?\n\"Answer: 8*p**3 - 665*p - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661 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 highest common factor of 36481336 and 17878?\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 44. Solve -3*n + i = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 268\/411 - -2\/137. Suppose 4*q - 14 = 3*c, -3*c + 1 - 13 = -3*q. Let o be c + (-1 - 2)*-1. Is h less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -637 - -625.59584. Let f = p - -11.4. What is f rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 109.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/13 (b) 2 (c) 1.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 2*b - 5*b)*(1 + 7*b**2 - 5*b**2 - 6*b**2).\nAnswer: 44*b**3 - 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Let o(p) = 4*p**2 + 4*p**2 - 6*p**q. Let t(l) = 7*l**2. What is o(t(c))?\nAnswer: 98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -97. Suppose -4*b + x + 26 = -x, 2*x + 21 = 3*b. What is the remainder when (-9)\/36 + z\/(-4) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751.126 weeks in seconds?\nAnswer: 454281004.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let i(d) = -d**2 + d + 3. Let u be i(0). Let w(s) be the first derivative of -3\/2*s**2 + 0*s + u. Calculate w(j(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 11*c - 5. Let i(y) = y**3 + 2*y**2 - 3*y - 4. Let b be i(-2). Suppose -b*q + m - 4*m + 4 = 0, -2*m = 8. List the prime factors of n(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4215888 to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5770*5.\nAnswer: -28850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q. Let t(h) be the third derivative of -h**6\/80 + 29*h**4\/24 - 30*h**2. Let l(i) be the second derivative of t(i). What is u(l(r))?\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584415 and 221741?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**3 + 19*k**2 + 5*k + 15. Let c(n) = -n**3 - 4*n**2 - n - 3. Let s(j) = 11*c(j) + 2*q(j). Determine s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.24 + -5. Let l = 0.682 + i. Round l to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.108 + -0.392. What is the nearest to r in -2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiggggigiiigi. Give prob of sequence ggg.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 128 + 4)*(-3 - 2*m + 3).\nAnswer: -208*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18691?\nAnswer: 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -15123*x - 166284. Calculate z(-11).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105.3 - -0.51.\nAnswer: -104.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:52 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - -0.51. Let l be (4\/104)\/((-2)\/8). What is the nearest to -3 in 0.1, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 1281575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4847, -4850, -4861, -4886, -4931?\nAnswer: -5002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 5*o = s - 2, o = -4*s + 27. Which is bigger: o or -1\/1359?\nAnswer: -1\/1359","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245592569849 less than -693?\nAnswer: 1245592569156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*17\/17)\/(2\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42127661371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90880 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2\/17 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14059, -15755, -17451, -19147, -20843, -22539?\nAnswer: -24235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 1. Let m be x(-1). Let h(s) = -s**2. Let f be h(1). What is the third biggest value in m, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/36 - 2*516\/216) + 1. Sort -1, 194, w, 2, -2 in ascending order.\nAnswer: w, -2, -1, 2, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {r: 1, b: 1, n: 2, j: 7, e: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h - 6*h - 4*h - 10. Let b be d(-8). Let y(m) = m**3 + 5*m**2 - 8*m - 4. Let t be y(-5). What is the greatest common factor of b and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*k + 8*k + 10, k = -5*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 - 76. Suppose 10*q = 6*q + h. Solve -3 + q = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + -4 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*y - 136, 3*y + 2*r - 250 + 51 = 0. Suppose 3 = 3*p + f - y, 5*f + 28 = p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.248 - 0.2377. Let o = -1.0103 + y. What is the closest to 0.3 in 1\/9, 4, -1\/5, o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 - 45)*(3 - 3 - 2*a**2 + 0*a - 2*a**2 + 0*a - 4*a + 4*a - 2*a**2 + 3*a - a**2 - 3*a + (a + 2*a**2 - a)*(4 - 5 - 1) + 0*a**2 - 5*a**2 + 4*a**2).\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 136.114. Let r = 0.736 - d. Let t = r - 0.8499891. Round t to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49382901 and 1107?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 2, s: 3, l: 4, g: 2}. Give prob of picking 1 g, 2 l, and 1 i.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 11*o + 2. Suppose -1 = 6*t + 29. Sort -3, t, o, 5.\nAnswer: t, -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1*sqrt(5) + -1) + -1 - 4*sqrt(40)\/((sqrt(88) - (1*sqrt(88) + sqrt(88)) - sqrt(88))\/sqrt(11))) + 3)**2.\nAnswer: 50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 11*k - 5. Let p(g) = -5*g**2 - 17*g + 8. Let f(o) = 8*a(o) + 5*p(o). Determine f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 3*r**7\/10 + r**6\/24 + 1393*r**5\/60 - 3*r**2 - 9. What is the third derivative of f(h) wrt h?\nAnswer: 1512*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:09 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(162)\/sqrt(3)*1)\/((1*sqrt(216))\/sqrt(2)))**2.\nAnswer: 3*sqrt(2) + 19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 1.726. Let x = -17.574 + s. What is x rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - 3 - (-22 + 13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2, 24, 4223, -2, 0.5?\nAnswer: 4223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/15*8\/84)\/(18\/210)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.98. Let u be (20\/(-6) + 5)\/((-2)\/102). Let k = u + 84. What is the third biggest value in -2, s, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - (7 - (-18 + 57))) + 38\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 - n**2 - 3*n - 3. Let s(l) be the first derivative of -11*l**4\/4 - 2*l**3\/3 - 4*l**2 - 8*l + 12. Determine -3*s(w) + 8*v(w).\nAnswer: w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.061 - -4.939. Let b = -6964\/9 - -773. What is the third biggest value in 3, b, -1\/9, n?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 184, 1, -107.\nAnswer: -107, 1, 4, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 16078 (b) -0.5 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 14*b - 6. Let f = -1683 - -1696. Calculate n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/9 - 20243*a**2\/9 - 101440*a = 0?\nAnswer: -45, 0, 20288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -3 + sqrt(162))**2.\nAnswer: -163 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Let n(v) = -v - 13. Let i be n(-7). Let q = -19\/3 - i. Which is the smallest value? (a) 2 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42d2 - 7?\nAnswer: -42d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Let b(p) = p - 3. Let w(l) = 3*b(l) + 6*t(l). Let o be w(-2). Solve -o*k + 20 = -8*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + 1 + sqrt(1872)*-4 + -3)**2.\nAnswer: 96*sqrt(13) + 29958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13.9. Let b = -16 - -15.9. Let o = d + b. Sort 0.2, o, 6 in increasing order.\nAnswer: o, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 396584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose 0*b + 24 = j*b. What is the least common multiple of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/1435)\/(-6))\/(1*(-20)\/50).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255956263?\nAnswer: 181, 1414123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.01 - -0.01. Let j = h - -7. Let m = j - 2.6. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -39*d + 2. Let b(o) = -1807*o - 1801*o + 5414*o - 1805*o. Give -6*b(a) - v(a).\nAnswer: 33*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 13 + 3. Suppose -t*i - 24 = d - 3, 15 = -3*d. Put i, 2, 3 in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-8) - (230\/16 - 14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 41*w - 7240 = -317*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/525*-5 - (-6)\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from {v: 2, m: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -376.3 + 376.8. Sort o, 898, -1 in descending order.\nAnswer: 898, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 1288*z**2 - 43300*z - 2310000 = 0. What is z?\nAnswer: -28, 75, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1388, 2774, 4160, 5546, 6932, 8318?\nAnswer: 9704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:22 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114645851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106.2 - -106.20000469. Round h to seven dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 11:11 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 40 = 2*t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 146, 3, 9, 0.4?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 2, 3, -0.02 in ascending order.\nAnswer: -0.5, -0.1, -0.02, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4130 and -3315240?\nAnswer: 3311110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -483357\/143 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-4)*2*156\/(-432) and 55\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2667, 5778, 8891, 12006, 15123, 18242, 21363?\n\"Answer: q**2 + 3108*q - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**3\/3 - 3. Let m(v) = -13. Let p(g) = 88*g + 260. Let a(r) = -20*m(r) - p(r). Calculate f(a(c)).\nAnswer: 15488*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*w - 618*c**2*w**2 - 2*c**2*w + 30086*c*w**2 wrt c.\nAnswer: 12*c*w - 1236*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i + 1223 = 4*m, 1552 = 5*m + 4*i. Let d be 2\/6 + m\/21. Suppose d = 6*h + 3. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 8:27 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14c580 - -5?\nAnswer: -14c57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 2\/13, -5, 3\/5, 0, 7\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 8720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y + 254*y - 100*y + 168*y + 67*y.\nAnswer: 402*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkppkpbfpbbbm. What is prob of picking 1 b and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -819 smaller than 2862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from dxxddxxx?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {e: 1, l: 2, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*u - 5*r = 62*u - 403, 0 = 5*r - 15. Find the third derivative of -128*h**4 + u*h**2 - 9584*h**3 + 88*h**2 + 9584*h**3 wrt h.\nAnswer: -3072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3407656 and 22.\nAnswer: 37484216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4*u + 2*r**4 + 2*r**3*u - 5*r**2 + u wrt r.\nAnswer: -48*r*u + 48*r + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 0.26. Let o = -3 + 3.2. Let d = -0.2 - 0. Sort o, x, d in descending order.\nAnswer: x, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(2*sqrt(70) + sqrt(70) - sqrt(70)) + 4*1*sqrt(70) + -3*1*sqrt(70))\/(1*(sqrt(360)*1 + sqrt(360)) + (sqrt(200)\/sqrt(4)*-6)\/sqrt(5)).\nAnswer: 49*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 2*h**2 + 6*h - 1. Let a(z) = 37*z + 84. Let d(j) = -31*j - 70. Let x(w) = -5*a(w) - 6*d(w). Give x(n(v)).\nAnswer: 4*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.009861 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131923543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 16*o**2 - 8*o - 8. Let r(i) = -11*i**2 + 5*i + 5. Let s be 2\/((-1)\/4*-1). Let g(k) = s*r(k) + 5*h(k). Let v(a) = -a. Give g(v(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or -0.0491?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2206, 3\/8, -1\/5, -4, -0.1 in decreasing order.\nAnswer: 3\/8, -0.1, -1\/5, -4, -2206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124614 and 26082.\nAnswer: 1121526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 10. Let y be (1 - (1 - -2)) + j. Let o = -1 - -0.6. Which is the third biggest value? (a) o (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12972)\/470)\/(14\/21*4\/160*-18).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -346 (c) 0.4 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {w: 1, k: 5, u: 11, e: 2}.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*v = -214*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 2)*(-752 + 7*x**4 + 752).\nAnswer: -35*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.023 - 0.3.\nAnswer: -23.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 31 + 26, -3*r + 101 = y. Solve r*m = 32 + 70 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2609 rounded to 2 decimal places?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -951, -932, -901, -858, -803, -736?\n\"Answer: 6*s**2 + s - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127.9 - -34.1. Let q = 112 - s. Let x = -50.193 - q. What is x rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2. Let l(a) be the first derivative of -9*a**4\/4 - 46*a + 12. Let j(m) be the first derivative of l(m). Give j(q(x)).\nAnswer: -243*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3790*o - 50344 = 4224*o for o.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 5*w - 18 + 35, w - 13 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51.42 - -3265.58. Let v = 3286.38 - y. Let g = -31 - v. Round g to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -8\/9*w - 1 - 2\/27*w**3 - 4\/9*w**2. Factor c(h).\nAnswer: -2*(h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t = 5*v - 39*t - 6200, -4*v + 4960 = -2*t. Calculate the greatest common divisor of 775 and v.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 - 120.4. Let y = 37 - u. Let o = 4.6 + y. Which is the second smallest value? (a) 0 (b) -4 (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 301476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-3)\/(-30)*8\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 46077236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43.4 and 228.\nAnswer: 271.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigggggg. Give prob of picking 2 g.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*c**2*l - 2681*a*l - 2*a + 52*c**2 - 186*l wrt a.\nAnswer: 2*c**2*l - 2681*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t**7\/7 + 244*t**3\/3 + 335. What is the third derivative of k(l) wrt l?\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1040*z - 128*z - 65*z - 136*z.\nAnswer: -1369*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 5, w: 6, n: 4}. Give prob of sequence wa.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -298.\nAnswer: 1\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let a be ((-48)\/(-20))\/(z\/(-10)). Let b = -1 - a. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*p + 10, 4*p + 6 = 2*n + 16. Let b(r) = 39*r - 19*r - 1 - 18*r. Give b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.89 + -0.11. Let y = 842\/7 - 120. Which is the closest to y? (a) -0.5 (b) q (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + 5*(1 + sqrt(76)) + 5*(1*(0 + sqrt(76)) + sqrt(76) - sqrt(76)))**2.\nAnswer: 200*sqrt(19) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 + 107677*r**2 - 2898530243*r - 2898637921 = 0. What is r?\nAnswer: -1, 53839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 251110*w**2. Let j(b) = -12*b + 4. Give j(y(r)).\nAnswer: -3013320*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2826)\/(-2355))\/(6\/(-160))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*o + 77 + 32, -2*i - 4*o = -86. Let j = i + -29. Solve d + d = j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 4:20 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16135967693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 14. Let w(x) = 3*x + 15. Let f(o) = -6*t(o) + 5*w(o). Let i be f(-7). Solve 2*k + k = -i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {w: 1, k: 2, a: 2, y: 1, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-56078)\/(-154) + (-5)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5*j*j*j**(-1\/7))**(-1\/23) assuming j is positive.\nAnswer: j**(-55\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 2, -2, 13, 1\/2, -4\/39?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c - 19 + 19 + 0*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(540))\/((sqrt(120) - (sqrt(120) + sqrt(120)*2 + sqrt(120) + sqrt(120)))\/sqrt(10))*5.\nAnswer: -45*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12217 + 24625. Does 87 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 0*k**3 + 2*k**3)*(k - 5*k + k).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -4 + (-1196)\/(-2) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 373373329767800 and -3.\nAnswer: 373373329767797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g - 54. Let l be o(-7). Suppose -u = 2*j - 2, 4*j + 213*u - 208*u = 10. Solve j*i - 3*i = 5*n + l, 3*n = 5*i + 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/26 - 1*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 10*t**2 + 4. Let o be k(10). Suppose 0 = o*d + 11 - 3. Let v = -0.06 + -2.94. What is the closest to d in 0.07, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(1890\/(-72))*5\/62?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5351*k - 269211 - 19743 = 0 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13741 and 1183?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.123ng in tonnes?\nAnswer: 0.000000000000563123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -9 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*w + 327 = 0, -3*a - 5*w + 15 + 222 = 0. Let o = a + -84. Suppose 2*c = 5*h - 278, o*h - 4*c = 5*h - 254. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 46 = -a, -2*a - 19 = -4*c + 29. Suppose 18 = 2*l + 5*z - 17, -5*l - 2*z = -35. Calculate the least common multiple of l and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 264238750060 and -4.\nAnswer: 264238750056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-1)\/16*(-280)\/(-756)*-9.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -255?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*i + 222*i - i**2 - 3.\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -5 + 2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(3\/4)*n)\/n*(n*n*n*n**(2\/9)*n)\/n)**(6\/7) assuming n is positive.\nAnswer: n**(179\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3225 - 0.1.\nAnswer: 1.2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108673008 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 + 4*r + 4. Let u be c(-5). Let p = 165 - u. Suppose -2*f = -4*v - 5*f + 60, 0 = 4*v + 2*f - p. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*p - 3*f, -12 = -4*f - 0*f. What is the remainder when 31 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3759*t + 2171*t = 3608*t - 31176 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 - 4*a**3\/3 + a**2\/2 + 5*a + 6. Give c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(72)\/sqrt(36)))\/(sqrt(40)\/(sqrt(640) + -4*sqrt(640))).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*z**2 - 33*z**2 - 152*z**2 + 6*z - 118*z**2 - 65*z**2.\nAnswer: -262*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36514 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - -172. Let x = p - 211. Let n(k) = 3*k**2 - 6*k + 6. What is the least common multiple of n(4) and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366252?\nAnswer: 2, 3, 23, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 5. Determine q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 58.3 and 9.\nAnswer: 67.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39898 by 2.\nAnswer: 19949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*w = -11*w + 90 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*j + 1820 = -551 - 1026 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-367780)\/(-1988))\/((-15)\/(-3)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11866 - 71089\/6. What is the common denominator of ((-1)\/3)\/(18\/(-151)) and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Let o(x) = 3*x - a*x**3 + 3*x + 1 - 4*x. What is o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 38*p - 18 = 0. Suppose p*r + 3*x = 620, r - 10*x + 11*x - 308 = 0. What is the highest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.051 (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -58.82. Which is greater: -2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 4. Let h(f) = -4*f - 1. Let v(w) = -68*w - 16. Let z(i) = 104*h(i) - 6*v(i). Let t(p) = 7*p + 7. Calculate s*z(g) - 7*t(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -3) + (47 + -202 + -23 - -35)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 515\/(-15) - (-2)\/(-3). Let f be (-33)\/(-7) + (-10)\/w. Solve 2*s - 5*g + 9 = 24, -3*g = -4*s - f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7)**17 assuming m is positive.\nAnswer: m**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (56 - 3) + 2 + 2\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {n: 5, o: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + (-19 - -60) + -15 + -2.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {j: 3, s: 8, e: 6, g: 2}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 323925193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 4\/11 (c) -1255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8145\/62 or 130?\nAnswer: 8145\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f - 3 = 0. Let o(c) = 38*c**3 + 2*c**2 + 4*c - 6. Calculate the remainder when 147 + (0\/f - -2) is divided by o(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296155 is divided by 662?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let l(x) = 6*x**3 - x. Suppose 83*g - 12 = 85*g - 4*k, -5*g + 26 = 4*k. Give g*n(b) + l(b).\nAnswer: 6*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15362.2 to the nearest one hundred.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 19*o**2 - 5 - 7*o + o**2 + 0. Let p(t) = -t**2 - 2*t - 1. Let k(c) = -f(c) + 4*p(c). Give k(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19694584, 19694581, 19694578, 19694575, 19694572?\n\"Answer: -3*c + 19694587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2. Let p(l) = 29835*l**2. Determine w(p(j)).\nAnswer: -4450636125*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -22, 2010 in increasing order.\nAnswer: -22, 9, 2010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Find the third derivative of 0*k**2 - 3*k**5 - 2*k**q + 0*k**5 wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r - 1. Let i(j) = -j**3. Let h(f) = -3*f**3 + f**2 + f - 1. Let u(x) = -h(x) + 2*i(x). Let s = 163 + -169. Determine s*w(m) - 6*u(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45 + -3)\/3 - -7. Which is the biggest value? (a) -0.8 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*d - 8 = 69*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1459819.5 hours?\nAnswer: 60825.8125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 1827 = 65*q - 2027. Let j(l) = l + 1. Let w(m) = 2*m + 19. Determine q*j(x) - w(x).\nAnswer: 2*x - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.28, -1\/65, -93, 0 in descending order.\nAnswer: 0, -1\/65, -6.28, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658649, -658613, -658517, -658331, -658025, -657569, -656933, -656087?\nAnswer: -655001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358071080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.8, -5, -1\/11, 180, -26 in descending order.\nAnswer: 180, 0, -1\/11, -0.8, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/140 and -91\/176599560?\nAnswer: 1236196920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1131 + -1113. Let h be ((-8)\/6)\/((-8)\/108). Suppose 54 = 4*d + h. What is the greatest common divisor of d and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/60 + r**4\/24 - 4*r**3\/3 - 63*r**2. Determine z(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 19*l**2 + 20*l - 12. What is s(17)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 978, 4073, 9266, 16587, 26066, 37733?\nAnswer: 51618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - (-565)\/10)*4\/2 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2161*h**2 - 5497*h?\nAnswer: -4322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 13*h + 79. Let u be q(-16). Suppose -u*i + 3672 = -22*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/5 - 98*k**2\/5 + 204*k\/5 = 0. What is k?\nAnswer: -51, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogzwzigziioiwzzgkzg. Give prob of picking 2 g.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3 and -4\/79.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 160*t - 16. Let f(i) = -32*i + 3. Give -16*f(q) - 3*k(q).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 10*z - 16. Determine g(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(288) + (1 + sqrt(288))*-4 + sqrt(4)\/(sqrt(18)*-3) + -4)**2.\nAnswer: 10400*sqrt(2)\/3 + 432868\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7243 + 122*g + 61*g + 51*g - 7244.\nAnswer: 234*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7410 divided by -1482.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544041 is divided by 771553.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99929.\nAnswer: 99929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32034, 128957, 290486, 516621, 807362, 1162709, 1582662?\nAnswer: 2067221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -12320 - 819*v**2 + 22723*v + 3898*v**3 + 3*v**5 - 202*v**4 - 11125*v**2 - 4868*v**2 + 2710 = 0. Calculate v.\nAnswer: 1, 10\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a**2. Let o(w) = 245*w - 6. Calculate q(o(j)).\nAnswer: -960400*j**2 + 47040*j - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3528 and 145628.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21155130201 - 2?\nAnswer: 21155130155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 6*o - 198. Let f(u) = -u**3 - 23*u**2 - 22*u + 5. Let i be f(o). Solve 3*p = -i*s, 0 = -6*s + 2*s + p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 593098819 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -15\/2, -51, -2, -1 in descending order.\nAnswer: 5\/3, -1, -2, -15\/2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2. Let p(x) = x**2 - 6*x + 8. Let v be p(6). Let d(b) = b**2 - 8*b + 2. Let c be d(v). Let t(f) = f - f + 5*f**2 - 3*f**c. Determine i(t(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 17*j + 63. Let o be u(-5). List the prime factors of (o - -374) + (-3 - 14\/(-7)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -11546281.\nAnswer: -11546280.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(106 - 52 - 17)*(26*a + 30*a - 41*a).\nAnswer: 1110*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Does 18 divide 17 - (1 + (1 - g))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1418088 and 840.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 13*z**2 + z + 8. Suppose -184*x - 32 = -188*x. Suppose 0 = -3*c - u + x - 45, 0 = -5*c + 2*u - 69. What is k(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbwwjwjbwwwwwb. Give prob of picking 2 j and 2 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 (base 11) in base 4?\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 2*v)*(-23 + 0 - 7) + 4 - 4 + 2*v.\nAnswer: -58*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d + 18. Let v(p) = p. What is j(i) - 2*v(i)?\nAnswer: -2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvfavavvkabkfvvfo. What is prob of sequence avoa?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2490, -3036, -3578, -4116?\n\"Answer: 2*u**2 - 552*u - 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.236, 5\/6, 4, 1\/6, -6\/7, -16\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 518338148 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 468077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -4.2. Let u = 2152 - 2152.1. What is the nearest to c in -2\/9, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let q(p) = -1. Let k = 1 - 2. Let b(x) be the second derivative of -x**3\/3 + 2*x**2 - x. Let j(s) = k*b(s) - 4*q(s). Determine j(r(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10403032, -10403036, -10403044, -10403056?\nAnswer: -10403072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/10)\/(22\/33*3\/(-32))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6933 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27146642 is divided by 387809.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2459 divide 126409617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -199683 (b) 0 (c) -488\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1156116334 to the nearest integer?\nAnswer: 34002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - 3*v + 3. Let c be h(1). Suppose -c*a + 25 = 0, -i + 5*a = i + 19. Solve 0 = -i*s - 2 - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 16 = 0. Find the third derivative of -c**4 + 3*c**2 + 4*c**4 - 2*c**t wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.115 + 2.715. What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286991 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20130 by 122.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 582.9466 + 0.0534. Let d = -578 + g. Put 0.4, d, -2\/233 in increasing order.\nAnswer: -2\/233, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264736 divided by -4\nAnswer: 66184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11673, -11674, -11675, -11676?\n\"Answer: -p - 11672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -1239814?\nAnswer: -1239813.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-0.0586.\nAnswer: 0.6446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48, -45, -42, -39, -36?\n\"Answer: 3*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from iuwiwis?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3.7, 30.3, 21?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 6:35 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.162000373 - 4.162. What is h rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-16) + (-5)\/(60\/(-279)). Let j be (-68)\/(-10) + g\/115. Solve -j*r = 4*r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:05 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - y**4 - 2)*(3 - 4 + 2) + 6*y**3 - 6*y**3 - 61502*y**4 - 8306*y**4 + 9729*y**4.\nAnswer: -60080*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45079\/264 + -1367\/8. Suppose -a = -4*a - n + 1, 5*a + n + 1 = 0. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w - j = 43*w - 44, -2*w - 3*j + 34 = 0. What is the least common multiple of w and 160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -557, -2536, -7949, -18512, -35941, -61952, -98261, -146584?\n\"Answer: -286*l**3 - l**2 + 26*l - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 45 = 2*m. Let j be (36\/(-45))\/((-3)\/m). Solve 2*s = -s + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**5 - 2*u + u + 7*u**5 - 10*u**5 wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/24 + -1*(-6)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70326 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 5*y**2 + 0 - 1 + (2*y**2 + 0*y + 0*y)*(-1 + 3 - 3) - 3*y**2 + 2*y**2 + 2*y**2 - 1 + 2*y**2 + 1.\nAnswer: -3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18832 - 158?\nAnswer: 18674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-42)*(6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 14*d - 16. Calculate v(11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 16*l + 39389. Let o = -2490 - l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 32 + 16*p**3 + 2*p**4 + 6*p**4 + 48*p**2 - 6*p**4 + 64*p = 0. What is p?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v - 28. Suppose -2*g = 3 - v. Let b(x) = 4*x**g + 2 - 1 + 0. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 3*j. Let o be -4*210\/(-40)*1. Suppose -2*p + 4*t + 20 = 0, 18*p + t + 5 = o*p. Solve -j*c + p = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 60, 118, 188, 270, 364, 470?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 11)*(-1 + 0). Solve 3*h = 4*u - 6, t - 5 = 3*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -908*y**2 - 836*y - 192. Let c(b) = 3636*b**2 + 3342*b + 766. Let r(w) = -2*c(w) - 9*u(w). Factor r(i).\nAnswer: 4*(15*i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -39*w**3 - 3*w - 2. Let g be m(-1). Suppose -a = -3, 5*z + 3*a - 24 - g = 0. What is the remainder when 19 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111111121 - 2?\nAnswer: -111111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 5)*-3*(-4)\/(-234)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4657501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 14*j + 34. What is c(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001213809498 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/120 - 7*l**5\/60 + l**4\/24 - l**3\/3 + 167*l**2 + 2*l. Calculate b(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 5}. What is prob of picking 1 g and 3 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/264 and 37\/484.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 25*d**2 + 84*d - 10. Determine i(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -8 - -10) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, -26, 4, 0.041085?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 20 = 5*u. Find the common denominator of -20 and (12\/(-2))\/(u\/(-19)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 21 = -4*j, -3*b - 2*j = 2*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*a**5\/8 + 85*a**4\/4 + 329*a**3\/8 + 2*a**2 - 99*a\/2 - 18 = 0. Calculate a.\nAnswer: -3, -12\/5, -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37649 times -5\nAnswer: 188245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 3. Suppose b = h*b. Solve b*d + 4*d = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 103, 113, 123, 133?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 4095.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 85. What is v(83)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -42. Suppose m*k - 3*k = 819. Suppose 2*s + k = 3*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 256.2821 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.58 + 0.58. Let q = -35.5 - y. Round q to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*q + 17*q + 43*q)*(-10 - 13 + 7 + (2 + 0 - 1)*(-3 + 3 - 1) + 0 + 1 + 1)*(3 - 3 - q) to the form t*q**2 + u + f*q and give t.\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t + 20. Suppose 6 = -t*f + 26. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v + 0)*(-v + 6*v - v)*(2 + 4 - 3)*(-2*v + 2*v - v).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(78\/195*35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*y + 50 - 24*y - y wrt y?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, 0.07, -5, 2\/19?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) 2\/11 (c) 1\/6 (d) 119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*b**3 + 36*b**3 + 50*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154 - -157. Let m = -159111377\/842850 + 3\/93650. Let f = -189 - m. Which is the third smallest value? (a) -5 (b) o (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1387 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3246 and 11?\nAnswer: 35706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151593 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1374 + 1420. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2. Let k(m) = -12812079*m. Give k(r(x)).\nAnswer: -12812079*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/5)\/((-44)\/100) and 35\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1010, 1009, 1008?\n\"Answer: -z + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*q - 18 - 22, -2*i - 10 = 5*q. Let k(p) = p**3 + 6*p**2 + 5*p. Let b be k(-5). Solve b = -i*j + 10, r + 5*j - 6 = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -2*v + 4*v. Let t = v - -354. Let p = t + -75. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/59696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0*o - 4*o + 2*o + o + 10. Let w be t(13). Which is the closest to -1? (a) -0.3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4097 - 19*g**2 + 4097 + 157*g**2.\nAnswer: 138*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312437980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a**(4\/7)\/a*a*a))*a**(-2\/9)\/a*(a**(2\/3))**(2\/9))**47)**(2\/15) assuming a is positive.\nAnswer: a**(-1786\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-71)\/6 + (4 - 4) and -35\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -10*x + 107. Calculate the greatest common divisor of 574 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55229017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5359, -10728, -16121, -21550, -27027, -32564, -38173, -43866?\n\"Answer: -2*q**3 - 5355*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31753.46 to the nearest 100.\nAnswer: -31800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*j - 179 wrt j.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let c(u) be the third derivative of -u**6\/240 - u**4\/6 - 2*u**2. Let d(n) be the second derivative of c(n). Calculate d(y(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51611 + 14178 = f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 577528, 1155050, 1732570, 2310088, 2887604, 3465118?\n\"Answer: -i**2 + 577525*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/4599 - -14456\/4599. Let a be (-15)\/14*(-2 - 4\/3). Let s = a - q. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 50. Suppose 9 = -3*k, 0*j - 3*k - v = j. Solve -3*q + 8 = -4*t - j*q, -2*q - 6 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -371177417*q**4 + 145029092 wrt q?\nAnswer: -1484709668*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143 + -32 + -58 - 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90.6428 = -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*(135\/(-6))\/(-9).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 6 (c) 1\/3 (d) 4 (e) 0.5 (f) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366 (base 7) to base 5.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110002 - 10201200?\nAnswer: -2021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + (7 - (1 + 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -22. Which is the biggest value? (a) f (b) -3\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 equal to 3.1656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/3 - 241865335*i**2\/3 - 974980630933480*i + 974980711555260.\nAnswer: -5*(i - 1)*(i + 24186534)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, -74, 0, -18 in increasing order.\nAnswer: -74, -18, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29832435 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 4*g + 3. Let h(j) = 7*j - 2*j**2 - 5 - 2*j**2 - j. Let a(k) = 5*h(k) + 7*o(k). Determine a(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - 27\/6. Let m = -4 + 7. Is f\/(-15)*83*m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 556551?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81018 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -206*f - 659. Let w be b(-14). What is w rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1 - 0) + 8. Suppose 2*n = 4*r + 4*n - 82, -4*r + 4*n = -52. Let h = r - a. Solve -2*c = h - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 1.1. Let g = 15.4 - 14. Let s = g - -0.6. What is the smallest value in 0.5, l, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28879017 - -58092535. Let i = b + -12013518. What is i rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8765 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96401361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 3*g**2 - 1049*g**3 + 1066*g**3 - 1 - 28*g**3 - 20 + 20 + (2*g**2 + 0*g**2 + 0*g**2)*(-g + 3 - 3) + 0*g**3 + 0*g**3 + g**3.\nAnswer: -12*g**3 + 4*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(125) + (sqrt(125) + 4)**2).\nAnswer: -846 - 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8957.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**2*y**2 + 3*t**2*y - 6*t**2 + 421824*t*y**2 + 9541*t wrt y?\nAnswer: -10*t**2 + 843648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8334408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - 2 + 5*g + 10 - 5*g**2 - 1. Suppose 0 = -4*z - z - 40. Let w(j) = 5*j**3 + 8*j**2 - 8*j - 11. What is z*y(h) - 5*w(h)?\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3931049 divided by -4\nAnswer: -3931049\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggaaaaagag?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549215.\nAnswer: 5, 109843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 10, -7, -2, 0, 4, -5 in increasing order.\nAnswer: -7, -6, -5, -2, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 23*m**2 + 1. Suppose 5*s + 4 = s + 4*a, 4*s - 3*a + 4 = 0. Let r be c(s). Let v = 18 + r. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 13 + 6 + 6.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2274*i**3 - 2162*i**3 + 4407*i**3.\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**6\/30 - 73*t**3\/6 + 5*t**2 - 3*t + 11. What is the derivative of q(j) wrt j?\nAnswer: -4*j**3 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s + 6. Is (-3480334)\/(-338) - s\/(-39)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 84. Suppose -o = o - i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + (-14 - 8) - (1 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p**3 - 14*p**2 + 3*p + 9. Let c(l) = 7*l**3 - 7*l**2 + l + 4. Let x(s) = 6*b(s) - 13*c(s). Suppose -6*f + 139 = 91. What is x(f)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 1 b when three letters picked without replacement from hhaaaabbtaa?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, 2, 18 in descending order.\nAnswer: 18, 17, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 312375.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7976 and 88?\nAnswer: 87736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13182529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 15. Let c(y) = -6*y**2 + 28*y. Give c(g(b)).\nAnswer: -6*b**2 + 208*b - 1770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 313671000 to the nearest one million.\nAnswer: 314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294224 a multiple of 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -47. Suppose 2*k - y = -0. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-2)\/(-12)). Let j be (7\/(-21))\/(2\/(-54)). Let i be 4\/p*j\/(-1). Solve 12 = y + 5*n, n + 3*n - i = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/6 - 1\/3. Let m(i) = -i + 3. Let b be m(3). What is the third derivative of b + t*f**3 + f**2 + 0 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -180, 4.\nAnswer: -180, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*a + 14*a + 10*a + 162 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84233840 to the nearest integer?\nAnswer: 9178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {j: 6, h: 1, m: 4, c: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749\/(-428) - (-40)\/(156800\/6540).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 276.2 - -45.\nAnswer: 321.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 801780 and 354.\nAnswer: 47305020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000021 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -42. What is the lowest common multiple of f and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(98)*-5*-2 + 1 + 3 + sqrt(98)*2*-5 + 1)**2.\nAnswer: 1400*sqrt(2) + 39225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 + 36*o**2 + 49*o - 10. Let g(s) = -11*s**3 + 54*s**2 + 74*s - 14. Let p(b) = -5*g(b) + 8*u(b). Calculate p(19).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.275 - 2.2749991491. Round a to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((9 - 4) + -4)*1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 57*a**2 - 299*a - 4603. Give h(-53).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 111\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**7*o)\/((o*o**7*o)\/o*o))\/(o**3\/o**(-2)) assuming o is positive.\nAnswer: o**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 - 26. Let k(h) = -h**2 + 21*h + 68. Let a be k(18). Let f = x - a. Solve 2*i = 5 + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5581 is divided by 79?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 divided by -155?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94224493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1740, -6952, -15638, -27798?\n\"Answer: -1737*q**2 - q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 295 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -5, -54844, 3 in decreasing order.\nAnswer: 3, -5, -87, -54844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 18\/(-8)) + 41129\/44. Let p = u + -929. Solve 8*q - 2 = p*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1733 - -1732.037. Let l = q + -0.037. Suppose 13*i - 9*i - 8 = 0. Which is the nearest to l? (a) -1\/2 (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.366 times 5?\nAnswer: -21.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 60 - -39) + (-1 - 28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(sqrt(15)\/sqrt(5)) - sqrt(39))\/sqrt(3) + 3 + 0 + sqrt(13) + -1 + sqrt(13) + 3)**2.\nAnswer: 20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**2 + 286*x - 2*x**2 - 28*x**2 - x**2 - 35*x**2 wrt x?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(1 + 2 - 9)*(-c**2 + 3*c**3 + c**2) + 21*c - 15*c**3 - 21*c.\nAnswer: -51*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 4:19 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4464142?\nAnswer: 2, 2232071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20579, -82456, -185631, -330104, -515875, -742944, -1011311?\n\"Answer: -20649*z**2 + 70*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 16*j - 10. Let o be l(15). Suppose -o*m + 15 = 0, -2*y - m = y + 15. Let u(d) = d + 2. Calculate u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*l**3 + 13*g**2*l + 3*g**2 + 523*g*l**3 + 2867*g + 154*l**3 + 2 wrt l?\nAnswer: 12*g**2*l + 3138*g*l + 924*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -236? (a) 0.087 (b) 0.3 (c) -3 (d) -0.55 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33502 = 4*t - 27249 + 4779. List the prime factors of t.\nAnswer: 7, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 405 + -296. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108) + (sqrt(108) - (sqrt(108)*1 + 1)) + 2 + sqrt(108) + -5*(sqrt(108) + 2) + sqrt(108))**2.\nAnswer: 144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 1 x when three letters picked without replacement from jlexlllxeje?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:10 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r + 11. Let u(i) = -14*i + 21. Let j(f) = 11*s(f) - 6*u(f). Differentiate j(n) with respect to n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**7\/(t*t**4))**(7\/9))**(-21) assuming t is positive.\nAnswer: t**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4925575092 to the nearest integer?\nAnswer: 70182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39899, -79730, -119541, -159332?\nAnswer: -199103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*4\/(-60)*(43 - 70)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 16.954. Let i = -0.454 + s. Which is the nearest to 0.2? (a) -5 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258904 is divided by 77.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -2 + -1 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 29 = -50 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -14\/941?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.2. Let b = -0.7 + x. Let g = 0.4573 + 0.0427. Put 0.3, b, g in decreasing order.\nAnswer: g, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450 times -52241\nAnswer: -23508450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**4 + 213*i**3 - 447*i**2 - 657*i = 0.\nAnswer: -73, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 1902*a + 1905*a = -9, -o - 8 = a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 6. Let y = -49.000064 + i. What is y rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (-147)\/108 + (-2 - 0) and 23\/52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Suppose -2*g - 2*g = m*t - 501, 12 = 4*g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*i - 1, -3*b = i - 2*i - 55. Let c = -28 + b. Let t = -7 - c. Which is bigger: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23826602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213404 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3\/4 + 84369*w**2\/2 + 675135*w\/4 - 3796875\/2 = 0.\nAnswer: -9, 5, 56250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srer when four letters picked without replacement from {e: 3, s: 4, h: 1, g: 4, r: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.435+-0.3145\nAnswer: 1.1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -111*m - 1. Let o(v) = -2486*v - 2. Give o(q(w)).\nAnswer: 275946*w + 2484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - 2*63\/(-196)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 874 + -874.3. What is the nearest to 0 in 2, -11\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1 + 2*s - 4 + 2 - 8*s. Let l be k(-1). What is the nearest to 0.1 in -2\/3, l, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30176*q**5 - 10598*q**2 - 2*q wrt q.\nAnswer: 1810560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/1 + (-80)\/16. Let k(t) = -5*t + 8. Let b be k(j). Suppose -r - 24 = -b*r. What is the smallest common multiple of r and 164?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h - 448 = 112. Put -15, 4, h in increasing order.\nAnswer: -15, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.684 - -14.39. Let v = 1.46 - g. Let c = 0.457 + v. Round c to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((44 + -2)\/(-3) + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*v + 4 = -0, -5*v - 3 = 3*q. What is the nearest to 0 in 0.1, q, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (11 - (8 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1021210112212201?\nAnswer: 1021210112212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10901 - -10906. Solve 0 = -4*g - 2*u - 10, -f = 5*g - 7*u + 12*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 - 0.8. Let r = -11 - 27. Let q = -33 - r. Sort 7, k, q in decreasing order.\nAnswer: 7, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + -4 - (-895 - 6\/3).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 v when three letters picked without replacement from {c: 4, n: 10, v: 5}.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653911?\nAnswer: 7, 349, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5793 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518584 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-6)\/(-1 + 3). Suppose v = -j*l - 3*l + 134, 0 = l. Calculate the remainder when v is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:22 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3553*z + 575364. Determine d(-162).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.82 + -1.82. Let y be 1\/((-18)\/12*(-20)\/6). Let s(k) = k**3 + 4*k**2 - 4. Let g be s(-4). Which is the nearest to l? (a) g (b) 8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 44400*i + 4*i**2 + 10408*i.\nAnswer: 4*i**2 - 33992*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/5 + -2 + 3. Suppose -2*b + 18 = d, 0 = t*d + 5*b - 2*b - 51. What is the remainder when 23 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179399 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + 1122?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*c + 1, 7*c = n + 3*c + 1. Let f = 6 - n. Find s such that 3*s**2 + s - 4*s**2 + 2*s**3 - 4*s**f = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 28188589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 1. Let z(i) = i - 1. Let o(b) = w(b) + z(b). Let s be o(3). Let n = -2.643 + 3.143. Sort -0.5, s, -14, n in increasing order.\nAnswer: -14, -0.5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3*v = 2*i - 32, -3*i - 52 = -4*v. Suppose -6 = -4*s + v. Suppose -s*m = 8 - 56. What is the highest common divisor of 132 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -908894.\nAnswer: 9\/908894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 24. Let j be x(-11). Let u(l) = 4*l**2 - 17*l + 4. Let p be u(4). Solve p = 5*f + 5*z - 0*z + j, 2*f = 4*z + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13842958 to the nearest 10000.\nAnswer: -13840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 1. Let p = x + -3. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) + (-114)\/(-42). Factor -w**3 + w**3 - w**3 - 2*w**l.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3 = 3*w - 3*l, 3*w - 5*l = -9. What is the tens digit of 15\/3*(w - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 23. Let m be y(-21). Suppose -m*v + 6*v = 3*q + 15, -5*v = -5*q - 25. Find the common denominator of (-902)\/(-1012) - (v + 3) and 9\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5960\/9*x**3 + 0*x + 0 + 662\/3*x**2 + 2\/3*x**4.\nAnswer: 2*x**2*(x - 993)*(3*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -387.8532524.\nAnswer: -382.8532524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 2*n**4 + n**4 + (-6*n + 2*n - n)*(-n**3 + n**3 - 5*n**3).\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 149 + 84 = -n, 3*a = -4*n + 678. What are the prime factors of a?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.475631 milliseconds to minutes.\nAnswer: 0.00042459385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13030, 13031, 13032, 13033?\nAnswer: 13034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (170 - 194 + 416)*(2*g + 3*g - 3*g)*(4 - 2 + 1) to the form z*g + p and give z.\nAnswer: 2352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1007 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:13 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*a**4 + 37*a**4 - 53*a**4)*(-4*a - 3*a + 5*a + (-5 + 19 + 10)*(-6*a + 5*a - 3*a)).\nAnswer: -4018*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 139. Let r = 2\/65 + -3\/13. Sort 3, r, c in descending order.\nAnswer: 3, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/2)*g**(-2\/27)*g**(-3)*g*g**(-2\/7) assuming g is positive.\nAnswer: g**(-703\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 2*x**2 - x + 1. Let f be j(1). Suppose -3*h = -2*h - f. What is the units digit of h\/(-3) - 32\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1134 and 73\/120.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(-3*x - 3*x + 4*x)*(-1 - x + 1)*(1 + 1 + 2) to i*x + p + b*x**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -33, 0.12, 2\/9, 414, -4 in descending order.\nAnswer: 414, 1, 2\/9, 0.12, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1196147 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + m - 0*m + 8, 4*o + 2*m + 4 = 0. Let y be -3*((-141)\/45 - o). What is the closest to -1 in -2\/7, y, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 0)\/(4\/11696*86*2).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 207.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 2. Let u be 3 + (7 + -8)*(0 - 1). Let z be y(u). Let p(v) = 44*v**2 - 5*v + 2 - 19*v**2 - z*v**2. What is p(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 11:59 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 12 - 3. Suppose 0 = l - 3*a - 17, -h*l + 0*a - 5 = 3*a. Solve 0 = 3*p - 3, 2*z = -0*z + l*p + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Suppose 0 = -4*f - 199 + 203. Let n be (-232)\/2233 - (-4)\/14*f. Is n smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q - 1. Let d be u(1). Let a be -353334*d\/(-6) - 1. What is a rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011095139 rounded to 6 dps?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 8*t**2 - 11690*t + 4*t**3 - 8*t**2 + 11688*t.\nAnswer: 8*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2436 and 25688229?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -953516 and 9.\nAnswer: -8581644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 40*q**2 - 178*q - 108. Give v(-44).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*t = t - 14, 0 = 4*h - 5*t + 12 + 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:09 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 14. Let m be x(-7). Suppose m = -5*b + 10, 4*l - 24 + 0 = -4*b. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - 1)\/(-1))\/2. Which is bigger: k or 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47002708 and 44620.\nAnswer: 235013540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-228)\/(-760)*(-8)\/(-6))\/((-21)\/1260)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - t)*(11532 + 146*t - 11532)*(2 - 2*t - 2).\nAnswer: -292*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11462730 + -1?\nAnswer: -11462731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(200)*-2 + -1)**2*3*2.\nAnswer: -4806 - 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*a**3*o**3 - 7*a**3 + 19*a*o**2 + 2*o**4 + 81*o**3 - 2*o**2 wrt o.\nAnswer: 840*a**3 + 48*o + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -530488 + 530488 - 123*k. Let g(z) = -11*z. Calculate g(n(l)).\nAnswer: 1353*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k - 87. Let u be d(6). Solve -u*l = 2*x + 5, 10 = 2*x - 4*l - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*m**3 + 1107 - 1107 + m + (0*m + 3*m - 4*m)*(-2*m**2 + m**2 - m**2).\nAnswer: 40*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 658575 + i**3 + 0*i**3 + 12*i**2 - 658540 - 10*i. Calculate d(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -0.4, -1\/7, -34, -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 = 2*x, 2*p + 5*x + 4 - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9159115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102017075 to the power of 1\/2, to the nearest integer?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 289610535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/268 and 83\/128?\nAnswer: 8576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j - 135*j**2 - 41*j - 79*j**2.\nAnswer: -214*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12715 - 9775. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6869433388?\nAnswer: 2, 1717358347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10424246 is divided by 750?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 z, and 1 g when four letters picked without replacement from egzegezeg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 28 (b) -2 (c) 0 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 775 - 678. What are the prime factors of z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 - -239. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2)*(-113)\/((-9831)\/58)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -595.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 8*q - 2. Let m be a(7). Suppose m*j + 31 = 156. Let w = -12 + 17. Calculate the highest common factor of j and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(4*g**3 - 6*g**4 - 4*g**3) - 6*g**4 + g**4 + 4*g**4 - g**4 + 2*g - 2*g + 0*g**2 + g**4 + 0*g**2.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010110 - -110101011110000101?\nAnswer: 110101001100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/15, -2\/129077 in decreasing order.\nAnswer: 1\/15, -2\/129077, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etttemtttieh. Give prob of picking 1 e and 1 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o*o**6)\/(o**(-2\/3)\/(o*o*o**3*o*o)))**(1\/37) assuming o is positive.\nAnswer: o**(29\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000111100101011101 (base 2) in base 4?\nAnswer: -11013211131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55313215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/3 - 3*k**2\/2 + 11*k. Let t be (10\/(-4))\/((-1)\/(-2)). What is the units digit of n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*o - 978 = 22*o. What is the lowest common multiple of 386 and o?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 46, 51, -3, -5, 35 in increasing order.\nAnswer: -5, -3, 4, 35, 46, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + 3*w - 3*w)*(-1 - 3 + 2) + 3 - 15 - 6*w + 7*w to the form y + v*w and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 5677 = 980*f + 22745 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let l(o) = -o**3 + 9*o**2 - 18*o + 285. Let d be l(10). Sort m, d, 26.\nAnswer: m, d, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1. Let j(z) = 4*z + 1. Let c be j(-2). Let x = c - -5. Let m(u) = -4*u - 9. Let d(i) = x*t(i) + m(i). Differentiate d(g) with respect to g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418202714 to the power of 1\/4, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 10*k**2\/3 + 974*k\/3 + 388\/3 = 0.\nAnswer: -97, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2422.9 + -2423. What is the closest to 3\/4 in -0.4, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4061 divided by 131?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 124*n**3 + 3 - 2*n + 0*n + 0 - 144*n**3 as w + v*n + s*n**2 + r*n**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2308392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 minus 62?\nAnswer: -63.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 724 divided by -1744483\nAnswer: -724\/1744483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-646)\/(-136))*(-1*(-15)\/(-110))\/2.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270920.\nAnswer: 2, 5, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*o**2 - 4 + 0*o**4 - 202*o**5 + 206*o**5 - 10*o**3 + 6*o**4 - 18*o.\nAnswer: 2*(o - 2)*(o + 1)**3*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2755 and 290?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 585 - 503. Solve -6 = o*s - 76*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-12)\/n*n*n)\/n))\/((n\/(n\/(n*n**(-1\/7)*n)*n))\/n)*n**1*n**(-2\/7)*n)**(-25\/2) assuming n is positive.\nAnswer: n**(-2425\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c + c + 4*c - c + 3 - 3 + (6*c - 4*c + 0*c)*(-6 + 2 + 2) + 0*c + 0*c - 4*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28.7383 times -1\nAnswer: -28.7383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.7 + 29. Let k = 0.7 + d. Let x = 0.7 + -0.4. Sort 1\/4, x, k in increasing order.\nAnswer: 1\/4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776905 to the power of 1\/2, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -45410000 to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 19 = 5*t - 0, 5*a - 16 = -2*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5025323510 is divided by 2258?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.740997 centuries in millennia?\nAnswer: 0.1740997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -7. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3115 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a314 (base 12) to base 9.\nAnswer: 26277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h**3 + 4*h**3 - 1 - h**3 + 3*h**2 + 8*h**3 to the form q + b*h**2 + n*h + d*h**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*z - 312, -3*z = 4*x - 2*z - 307. Calculate the least common multiple of 7 and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 3 - (-10 - -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*-2*(-3)\/(-18). Let d(c) = -l*c + 10*c - 4*c + 11. Give d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26663046107 from -5.\nAnswer: 26663046102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24044145, -48088312, -72132503, -96176718, -120220957, -144265220, -168309507?\nAnswer: -192353818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27254354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eooo when four letters picked without replacement from ezoeoeooeaozoeooea?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*g**2*p - 3*g**2*u + 3*g*p + 2*g*u + 23*p*u wrt g.\nAnswer: 66*p - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s - 31*s + 165*s**2 - 401*s**2 + 234*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 + -110.76. Let d = z + 105.88. Round d to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(95)*5 + 5*(sqrt(95) - (sqrt(95) + sqrt(95)*-2 + sqrt(95))))\/(5*(sqrt(5) + sqrt(10)\/(sqrt(2)*2))) + 1).\nAnswer: -20*sqrt(19)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/40*16\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2282 < -2279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -503 (base 6) to base 4\nAnswer: -2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14738441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091838166 to 4 decimal places.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.046 in -453, 3, 2\/11, -2, 1, -85?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2 = -5*i. Put 4, -5, i in decreasing order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -17*a**3 + 13*a**2 + 26*a + 32. Calculate c(-4).\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (5 - (0 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -97*k**2 - 4263*k + 174. What is w(-44)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z - 4*c + 12, 0 = -5*c + 5. Suppose -3*x + z*y + 3751 + 5595 = 0, 5*y + 12466 = 4*x. Suppose -x = -0*j - 9*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7567, -7560, -7543, -7510, -7455, -7372, -7255?\nAnswer: -7098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 9*a + 6. Let j be t(-10). Suppose -2*u - 4*g = g - 31, -52 = -5*u - 4*g. What is the nearest to -2\/5 in 1\/5, j, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 127552.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**(4\/5) assuming u is positive.\nAnswer: u**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25653421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j + 44. Calculate c(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 160706 and 2068765278?\nAnswer: 2068604572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Let w be (-1 + 2 - -3) + b. Suppose -m = w*m - 55. Solve 2*a = 5*x + m - 1, -a = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 3. Let w be s(3). Suppose 1406*r - 408 = 1394*r. Let l(i) = -8*i + i**2 - 11*i + r*i - 14*i + 1. Give l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 12. Let r = 22 - 15. Let p be (16 - 0)\/(r - (1 - -4)). Calculate i(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*s - 1 - 7 = 0, -2*q + 6 = 4*s. Let j be ((-20)\/56)\/((25\/20)\/(-1)). Let r = 1 - 0.6. What is the nearest to j in q, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -6. Let p = 11 - -3. Let m = p - 10. Is n greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/4, 16155 in decreasing order.\nAnswer: 16155, 6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-16 + 20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7)\/j**(-9))\/(j**23\/(j\/(j\/(j**12*j)*j))) assuming j is positive.\nAnswer: j**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/30 + d**4\/3 + 4*d**3\/3 + 3*d**2\/2 - d. Let a(o) be the first derivative of r(o). Factor a(v).\nAnswer: 2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296018400 a multiple of 9340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3697581.\nAnswer: 3, 1232527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -315*t**2 + 16370*t + 520.\nAnswer: -5*(t - 52)*(63*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130997\/6 - 21777. Let l = 110239\/1974 - b. Let q = -3579\/3290 - l. Find the common denominator of q and -35\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 366\/(-42) - -4. Let m = i + 13\/28. Put -1, -3, m in decreasing order.\nAnswer: -1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 2 d when four letters picked without replacement from rrdrrrrdrdrdrrdrrvd.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 0.0039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4724 rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8 = -4. Suppose -b = o*f - 24, -6 = 3*f - 5*b - 1. Solve -z + f - 7 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0349014858 rounded to six decimal places?\nAnswer: -0.034901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.39753279 + 0.59753178. Let o = c - 0.2. What is o rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11211)\/3219*(0 + 1)*-2 + -7?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-63) - (-50)\/18. Put w, 2\/5, -1\/6 in increasing order.\nAnswer: -1\/6, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Two letters picked without replacement from kkkakkkkakk. Give prob of picking 2 k.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -50 (b) 70 (c) -0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**3 - 30*b**3 + 10*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 0.16, 0.1, 2, 2\/5 in descending order.\nAnswer: 23, 2, 2\/5, 0.16, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -109814076 greater than -109814073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251 is divided by 538?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 2845?\nAnswer: -2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*w + 22*w + 108*w - 335*w = 19178 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 87*s + 3. Let f be g(87). Suppose -5*l - 5 = -2*k + 13, -3*k = -4*l - 20. Solve f*m = -h, -3*m - m - k = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 115, -98, -1, -3 in descending order.\nAnswer: 115, 7, -1, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.96936kg?\nAnswer: 9969360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -652.7 - -742. What is g rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(44)\/(sqrt(99) - sqrt(11)))\/sqrt(32) - ((-1*sqrt(8))\/sqrt(4) + sqrt(8) + 2)**2).\nAnswer: -8 - 31*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkwmjkkmjjmkjjm. What is prob of sequence mjjk?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276950 is divided by 276422?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -39. Let v = 94 + 66. Calculate the remainder when 322\/5 - 64\/v is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -145*v**8\/168 + 953*v**5\/60 - v**2 - 31. Find the third derivative of x(t) wrt t.\nAnswer: -17400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2231340 (base 5) to base 7\nAnswer: 223303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 468 = -12*w. Does 52 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.9. Let f(w) = -w**3 + 7*w**2 + 2*w - 6. Let l be f(7). Let h be (((-14)\/8)\/7)\/((-5)\/(-8)). What is the nearest to j in -0.3, l, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -121*j + 13. Let z(b) = 122*b - 11. What is -6*a(v) - 7*z(v)?\nAnswer: -128*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100012 (base 4) to base 12.\nAnswer: -10546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -150500681 > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1187.3 - 1274. Let v = a - -83. Let s = v - -3.69895. Round s to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c + 8 - 7 + 4. Let a be h(7). Round a to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 10:30 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17203, -137488, -463981, -1099786, -2148007, -3711748, -5894113?\nAnswer: -8798206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/18)\/(4\/(-6)). Let w be (23\/9)\/((-4)\/3). Let p = f + w. Which is the smallest value? (a) -1 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**2 + 0 + 0 + (4*q - 2*q - 5*q)*(3 - 3 + q) in the form a + f*q**2 + c*q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 6*n - 28. Suppose n*j + 16*j - 51270 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2341*t**2 + t + 1532.\nAnswer: -4682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.86, 2, -2\/15.\nAnswer: -0.86, -2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 4*c + 2*c**2 - 3*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189498, -188787, -188076, -187365, -186654?\nAnswer: -185943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**4\/7 + 6*t**3\/7 - 76*t**2\/7 + 102*t\/7 - 40\/7 = 0. What is t?\nAnswer: -4, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7150 and 3146.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6 and 68\/(-44) + 1 + (-2126718)\/(-3881680).\nAnswer: 48120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*k, 14 = -2*r - 3*k + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:24 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-4)\/(-8)). Let z be (10\/5)\/(0 - n). Let f = 1 - 0. Is z >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -1.87198\nAnswer: -54.28742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p. Suppose p*j - 2*j + 46 = 0. Suppose -3*v = -27 + 3. What is the remainder when j is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.5355 to 1 decimal place.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7 + m**2 - 4 + 11*m - 3. List the prime factors of f(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8793 - 8798. What is the biggest value in 10, m, 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7677?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -17, -0.3, -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1.732.\nAnswer: -0.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - p - 3*p)*(4*p**2 + p**2 - 3*p**2) + p**3 - 2*p**3 + 0*p**3 + (-3 + 4 - 4)*(-283*p**3 - 8883*p**2 + 8883*p**2).\nAnswer: 852*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*m + 264 + 179, -2*f = 5*m - 790. Suppose -p = -4*p + m. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*y**3 - 2 + 1 + 1.\nAnswer: 173*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in 7, -4, -0.4, -275\/6?\nAnswer: -275\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkffkkkfk. What is prob of picking 2 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/15*5\/80. Let m(l) be the third derivative of 0*l**4 - 1\/60*l**5 + 0*l**3 + 0 + 0*l - w*l**6 + 2*l**2. Find the third derivative of m(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6171045259 to the power of 1\/2, to the nearest integer?\nAnswer: 78556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4 + 11*v**3 + 19*v**2 + 9*v = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let a(n) = n**3 - 3*n**2 + 4*n + 2. Let g be a(5). Suppose t*x = -4*x + g. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**6\/5 + 11*l**5\/5 + 61*l**4\/2 - 3*l - 37. What is the third derivative of u(g) wrt g?\nAnswer: -144*g + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*m - 2242*c - 200*m**3 - 54*m**2 - 17 with respect to m.\nAnswer: 3*c - 600*m**2 - 108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k + 181. Determine h(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1048 - 6.1487. Let n = 0.0661 - k. What is n rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -635968 by 16736.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.588*1.5831\nAnswer: 0.9308628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -30. Let f = -4892 + 4891.9. Which is the closest to f? (a) -1\/3 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2) + 3)**2 + sqrt(2) + (-1*sqrt(4)\/sqrt(2))**2 + 0 + 4 + (sqrt(300)*4)\/(sqrt(36)\/sqrt(6)*-6).\nAnswer: 29*sqrt(2)\/3 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((8 - 1) + (-4 - 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-175))\/(102\/(-10))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1242, -5, 1, 5 in ascending order.\nAnswer: -5, 1, 5, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 15 = 7*x - 2*m, -x = 3*m - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + -1 + -2 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10401554 (base 6) to base 8.\nAnswer: -1140256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1941100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38198287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12258*k + 1699*k - 6262*k + 28909*k.\nAnswer: 36604*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18234257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -910, -1856, -2810, -3760, -4694, -5600, -6466?\n\"Answer: 2*i**3 - 16*i**2 - 912*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 12 = 29*x. Suppose 2*j - z + 1 = 0, x*j - 4*z = -0*z - 4. Sort -1, j, -3, 10 in increasing order.\nAnswer: -3, -1, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -4006.\nAnswer: -108\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -165? (a) 1\/3 (b) 10\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25209*a + 124236 = -25204*a - 49249. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkp when three letters picked without replacement from pppppppppppkpppppppp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 6*u + 3*u)*(-4 + 4 + u)*(0*u**2 + 0*u**2 + u**2).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3287849640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 - n - 1. Suppose 5*u - 9*u - 2*t + 26 = 0, 16 = 2*u + 2*t. Let x(d) = 9*d**2 + d + 1. What is u*g(v) + 3*x(v)?\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 15, 26, 37, 48, 59?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14545?\nAnswer: 5, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-12))\/((-3)\/225). Solve 10*s - 5*s + u = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2325*h - 3762. Let y(c) = 2327*c - 3769. Let b(x) = -5*r(x) + 6*y(x). What is the first derivative of b(l) wrt l?\nAnswer: 2337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/140 and 67\/154?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2845*d. Let h(u) = -u. Determine y(h(l)).\nAnswer: -2845*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - (-11 + 5 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 11*b = -81. Suppose 11 = -3*d + 47. Solve 3*r + 14 = 2*j, 7*r - j = b*r - d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 20*s - 27. Let x be v(7). What is the greatest common divisor of 55 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*g + 2*g - 2*g)*(-16416 + 16416 - 752*g) to l*g**2 + q + s*g and give l.\nAnswer: 6768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6480*v**2 - 65*v - 50. Let g be w(30). Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27669862 divided by 5?\nAnswer: -27669862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2020027 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18938786*l + 22425 = 18938487*l for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.03 - 0.03. Let i be 24\/(-56) - (-9)\/21. Let n be (i - -2)*2\/10. Sort n, p, -0.5 in decreasing order.\nAnswer: p, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (356\/7298 - (-144)\/410)*(-5)\/(-122)\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1476 + 2962 - 59*y - 1487.\nAnswer: -59*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9658318742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*b**2*h**2 - 1472*b**2*h*z**3 + 5*b**2*h + 2*b*h**2 - 24*b*z**3 + 25129*z**3 wrt b.\nAnswer: -96*h**2 - 2944*h*z**3 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4758 + -2224. Calculate the highest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(3 + 5). Let s be 5*(z - (-57)\/(-15)). What is the nearest to 0 in s, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 - 388.3. Sort 0, -0.4, j, 11 in descending order.\nAnswer: 11, 0, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40195 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.8157548 and 11.037?\nAnswer: 12.8527548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1143*p**3 + 25*p - 1. Let n(q) = -143*q**3 + 3*q. What is -6*k(b) + 50*n(b)?\nAnswer: -292*b**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.458 + 0.281. Let t = 0.086 + u. Let f = -1.091 - t. Is 12\/5 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1107 + 55*o - 2*o + 1105 - 22*o + 45*o.\nAnswer: 76*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 14*g**2 - 17*g + 34. Let v be q(15). Suppose 4*j = -2*a - 4, -3*j - 1 = -a - 2*j. Sort -2, a, v in ascending order.\nAnswer: -2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137618204?\nAnswer: 2, 34404551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4273973.3 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/8 - 84861*x**2\/2 + 2400463107*x\/2.\nAnswer: 3*x*(x - 56574)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 41*j**2 - 12*j + 9. What is o(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00254124 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22612607?\nAnswer: 41, 467, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 415\nAnswer: 6\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -31?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(800)*5 + -5).\nAnswer: 15 + 900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ictctcciqicci. What is prob of picking 1 t and 1 i?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3703, -3796, -3889, -3982, -4075?\nAnswer: -4168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, r: 3, l: 1, g: 1, q: 3}. What is prob of sequence grcq?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 + 69*u + 24. Let k be x(-17). What is the third derivative of k*c**3 - 4*c**3 + 14*c**3 + 2*c**3 - 53*c**3 + 56*c**2 wrt c?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbssbbsssbssbsbbssb. Give prob of sequence bbbs.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a**3 + a**2 - a - 1. Let f = 11 + -12. What is the units digit of v(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 6*i**2 + 8*i**2 - 2*i**4 - 3*i**3 - i**4.\nAnswer: -3*i**2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -41623292?\nAnswer: -41623292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/((-1105)\/(-364))*-80. Calculate the highest common divisor of z and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-4\/15)\/(j*j**(-3)\/j*j*j*j*j**2*j*j))\/(j**(3\/11)\/j**(-6\/5)*j**0*j*j*j*j**(-2\/25)) assuming j is positive.\nAnswer: j**(-7364\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.95169?\nAnswer: -4.75845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 225 + 12301520?\nAnswer: 12302145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211423.\nAnswer: 113, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(17))*-6)**2 + sqrt(612)*2 + 3.\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*g + 0 + 0*g)*(3 - 3 + 1) + g - g - 2*g + 0*g + 4*g - 2*g + (g + 3*g + 4*g)*(-3 + 4 + 0).\nAnswer: 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**2 + 7930*d - 999120 = 0.\nAnswer: 138, 1448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -397.99998698 - -398. Round h to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3692?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543930561 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 508176537 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1508*i - 1019*i + 1417*i)*(i**4 - 3*i**4 + 4*i**4).\nAnswer: 3812*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 4*t - 2. Let i be y(-5). Suppose 0 = -i*b - b. Solve -4*d + 6 - 26 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -n + 5*n + 6, 5*n - 33 = -2*f. Let p(a) = 11*a + 2. Let w(b) be the second derivative of -5*b**3\/6 - b**2\/2 + 3*b. Give f*w(h) + 4*p(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.5 + -8. Let h = -6 - -11. Let n = -4.9 + h. Which is the closest to n? (a) r (b) -3\/2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ae7034 (base 15) to base 12\nAnswer: -295647a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -19, -29, -39, -49, -59?\n\"Answer: -10*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*10\/(-100))\/(18\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/20*8*(-28)\/(-3192)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61007 (base 14) to base 4\nAnswer: -320330133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 1480311836.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2\/9*t**3 - 22 - 10\/3*t**2 - 50\/3*t. Factor g(k).\nAnswer: -2*(k + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2. Let i(z) be the third derivative of z**5\/60 - 49*z**2 - 3*z. Give i(c(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-888)\/20 - 624\/(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 71910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -575379.38 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 37760634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 301441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -o - 20. Let v = -22 - o. Let y be -2*1\/v*3. Which is the smallest value? (a) -3 (b) 2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18898 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.000024 - 15. What is z rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16924251 and 414?\nAnswer: 101545506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 565163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*l**2 - 36*l**2 - 21*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**30*n*n**24\/n*n assuming n is positive.\nAnswer: n**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*l**2 - 3*l**2 + 3*l**2)*((-1 + 1 + 1)*(0 + 0 - l) + 5*l - 3*l - 3*l - 3 + 3 + 3*l) + 0 + 0 + l**3 in the form n*l**2 + b + v*l**3 + u*l and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**5\/5 - 129*v**4\/5 - 1128*v**3\/5 - 2196*v**2\/5 + 3456*v\/5 = 0.\nAnswer: -32, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -16*d + 14*d - 18, g + 25 = -5*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/109 not equal to -15156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - t - 5*t = 0. Let v be (t - (-2)\/(-8)) + 7047\/12. Suppose -3*k + 1761 = 3*q, -q + 4*k + v = k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmv when four letters picked without replacement from {q: 2, m: 3, n: 4, v: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/89965075 and -109\/215916180.\nAnswer: 1079580900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76 + -36883?\nAnswer: -37070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*z - 150*z + 55 + 151*z - 51.\nAnswer: 130*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(-3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 - 3*s - 2. Let w be (2\/3)\/((-5)\/15). Let r be t(w). Is 14 + r + -2 + 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*h + 11 = 0, 6*h - 2*h = 16. Let g be ((-2)\/(-1))\/(-2) - -3. Let k(l) = -2*l**2 - 2 - l + g*l + 1. What is k(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 23. Suppose -51 = 4*f - 3*h, 3*f - 6*f + 3*h - 42 = 0. List the prime factors of u(f).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/9))**(4\/11)\/(w**15*w**(2\/11)) assuming w is positive.\nAnswer: w**(-1487\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11718)\/(-315))\/62*70\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72\/11 - 997\/154. Do -1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 13235043144?\nAnswer: -13235043135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -11. Suppose 0 = y - 43 + d. Suppose -y + 11 = -4*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285 = -15*l + 4*t + 1305, -3*t = 4*l + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y**5\/65 - 4*y**4\/13 + 44*y**3\/39 - 24*y**2\/13 + 18*y\/13 + 286. Factor a(j).\nAnswer: 2*(j - 3)**2*(j - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-3)\/4 + 1. Let v be (-63 - 3)*(-2)\/x. Suppose h - v - 37 = -5*k, 146 = 2*h + 4*k. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 2*(-1*sqrt(320))**2 + sqrt(320) - (((-1 + sqrt(320))*5 - sqrt(320)) + sqrt(320))**2 - ((sqrt(320)*2 + -1)*4)**2.\nAnswer: -27881 + 928*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -138*n**2 + 4*n - 5. Let d(c) = -138*c**2 + 3*c - 4. Calculate -5*d(q) + 4*i(q).\nAnswer: 138*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, 113 in decreasing order.\nAnswer: 113, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*s + 6 = 0, 9*b - 1 = 8*b + s. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1445 = -5*f - 5*p, 3*f - 118 = -4*p + 751. Calculate the smallest common multiple of 205 and f.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j + 5. Let o(c) = 14*c - 4. Let g(b) = -3*o(b) - 4*x(b). Suppose 149*w = 172*w + 184. Let m(y) = y - 1. Determine w*m(z) + g(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 3, t: 2, j: 3, s: 1}. Give prob of picking 1 j and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 + -6 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -46 (c) -2\/3 (d) 2 (e) 2.9 (f) -108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12 + 0.18. What is the closest to 0 in -5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:47 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2111, 5195, 10335, 17531, 26783?\n\"Answer: 1028*r**2 + 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-84)\/(-168) - ((-35)\/(-21) - 2\/(-6)). Which is the fifth smallest value? (a) -0.4 (b) -1\/10 (c) x (d) -1\/7 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = -6*p - 41. Put -2, p, 1\/2 in decreasing order.\nAnswer: 1\/2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62175, 248767, 559779, 995211, 1555063?\n\"Answer: 62210*n**2 - 38*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6529481642 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10842, 0, -11, -5.\nAnswer: -10842, -11, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8\/28 - (-14358)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/((-1)\/(-6)). Suppose 2*y = 18 + u. Suppose -4*d - y = -42. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 143, 245, 377, 545, 755, 1013?\n\"Answer: i**3 + 6*i**2 + 53*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 3. Let z = -3 + 3. Suppose w - 5*w = z. Calculate the smallest common multiple of u(w) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqe when three letters picked without replacement from kkqkqkeeqeqkkeqqqqqq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 - 7*h + 9. Is y(2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354*a + 18173892 = 170*a. What are the prime factors of a?\nAnswer: 3, 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41624207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.33, 9, -2, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 529, 814, 1099?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*o - 8*o - 34*o**4 + o**3 + 15*o**2 - 17*o**2 + o to f*o**3 + r*o**2 + w + j*o + a*o**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - c + 4*c = -1190, c = 5*a - 1190. What is the highest common divisor of a and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2692, -187, 4 in increasing order.\nAnswer: -187, 4, 2692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 9:48 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*z**3 + 13*z + 4 wrt z?\nAnswer: -1272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1455 + 1453. Let g(z) = 1. Let w(a) = -a - 2. Determine o*g(p) - w(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3987471 divided by 16?\nAnswer: -3987471\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + m + 54 = 37, 0 = -4*r - 4*m - 8. Suppose -r*a + 97 = -668. What are the prime factors of a?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1339 + -30169328648?\nAnswer: -30169329987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 + -83. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 60 = -7*k. Let g = 6 - k. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10080\/2176 + 178\/1513?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2821 and 224.\nAnswer: 90272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27698 - 1329425\/48. Find the common denominator of l and -95\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39458 is divided by 563.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-7 + 4) - (-23 - (-4 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - -34 - -26 - (-4 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 162145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00168602 rounded to six decimal places?\nAnswer: 0.001686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -51. Suppose -221 = -4*o + r. Let z = o + -50. Solve -b - 5*j + z = -13, 15 = -b + 2*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5004)\/3753*(-186)\/(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*b + 9975 = -169*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(7\/3))\/l)**25\/((l*l**8*l)\/((l\/l**21)\/l)))**(-20) assuming l is positive.\nAnswer: l**(-1640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2. Let l(f) = -477262*f. Give u(l(s)).\nAnswer: -455558033288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 94247.04 decades in months?\nAnswer: 11309644.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 146*r**2 - 2*r. Let y(z) = 2*z - 4. Let w(s) = 5*s - 12. Let j(n) = 2*w(n) - 6*y(n). Calculate j(m(i)).\nAnswer: -292*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -619 + 175. Is ((-1)\/(-2))\/((-6)\/s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110)\/sqrt(10))**2 + 2 + sqrt(176).\nAnswer: 4*sqrt(11) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 o when three letters picked without replacement from pppwujjojjjwjuppow.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -3244.6762301749.\nAnswer: -3246.6762301749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-25 - -5)) + (-2 - -1) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - x = 22*m, 6 = -m + 3*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110\/193 or 2?\nAnswer: 110\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126940 and 30188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 76 - 87 + 153 to the form l + n*m and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 71323*x + 71323*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258852354.\nAnswer: 2, 3, 151, 285709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, -10053?\nAnswer: -10053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.61 + 0.64. Let k = -8 + 6. What is the closest to k in o, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61\/2 of a microgram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2430*f*z**3 - 3*f*z**2 + 2*f*z - 3*f - 121 wrt z.\nAnswer: 14580*f*z - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.47851 kilometers to meters.\nAnswer: 28478.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/7 - 1\/21. Let r = 33606 - 33610. Which is the third biggest value? (a) -3\/5 (b) l (c) 0.05 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.68 - 19.95. What is the biggest value in 4, -4, o, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-665)\/1596)\/(110\/(-12)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 227\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*l + 4*l + 4*q, -6 = 3*q. Suppose -2*f = 3*t - 23, -9*f + l*f = -5*t + 36. Solve -3*a + 7*a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 23*n**8\/168 - 31*n**4\/24 + 21*n**2. Find the second derivative of k(l) wrt l.\nAnswer: 920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906851.\nAnswer: 3, 635617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, k: 1, i: 5, v: 6}. What is prob of picking 2 v and 1 i?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 13*s**2 - 16*s - 64. Let g be c(11). Solve 0 = x - g*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-3)*-1 + 16*(-48)\/(-256)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2 - (112 + -5)*-11. Is (-102)\/85*t\/(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 12 + 11 + 215*q - 86*q - 6 to the form l + r*q and give r.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from ryrryryyryryyr.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 0.8\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 13*u - 2. Calculate k(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -163*n + 1139. Let x be c(7). What is the nearest to 1.2 in -5, x, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 15 = 3*p. Let h = p - -14. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 26 = 24*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -47927 in decreasing order.\nAnswer: 5, -1, -47927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 12 = 0. Suppose -131 = 5*h + z*m - 328, h - 51 = 5*m. What is the remainder when h is divided by 39\/7 + 120\/280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 6*i + 6. Let l(f) = f**2 + f + 1. Suppose -z + 5 = 5*a - 15, -15 = 3*z. Let g(k) = a*h(k) - 30*l(k). Let p(q) = 2*q. Determine p(g(x)).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 176626190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 + -19.4. Let n = z + 48. Let f = 21.48 - n. Round f to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52981 + 89632. List the prime factors of z.\nAnswer: 3, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 13*t - 60. Let y be f(-17). Let h(l) = 17*l**3 + 7*l**2 + 8. Let i(j) = 11*j**3 + 5*j**2 + 5. Determine y*i(w) - 5*h(w).\nAnswer: 3*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v, v - 57 = -2*p + 68. Let c = -56 + p. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 4\/7 (b) -5 (c) -1.2 (d) -0.26 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/12 - b**3\/6 + 6*b**2 + 2*b. Let l(f) = 4*f - 2. What is 3*l(c) - 5*z(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/16 (b) -1\/8 (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -88, -124?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25665589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007079 rounded to 7 dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 303809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 11. Let w be (18\/s)\/(6\/20). Calculate the highest common factor of 24 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 18. Let g = 0 + -3. Let t = 6 - 5.6. What is the closest to -2 in v, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1482845 to 2 decimal places.\nAnswer: 4.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110 - 55?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7230515 and 218545.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -37, -29, -7, 35, 103, 203, 341?\n\"Answer: q**3 - 2*q**2 - q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5732 - 3121 + 10145 + 1848)*(0*w + 0*w + w) to u + i*w and give i.\nAnswer: 14604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21593, -21583, -21559, -21515, -21445?\nAnswer: -21343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 34 = -3*p + 4*l, -5*p + 87 = -4*l. Let q be (0 - 6\/p)\/((-8)\/80). Suppose q*d = 5*w - 63 - 25, -2*d = -6. What is w rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 + 14*n**2 - n - 2. Let d(t) = 14*t**3 + 71*t**2 - 5*t - 11. Calculate -2*d(l) + 11*g(l).\nAnswer: 5*l**3 + 12*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-14)\/(-6) - -2. What is the third smallest value in 0.4, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 5*x**2 + 6*x - 3. Calculate the lowest common multiple of q(4) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155976283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -2*g**8 + 143*g**4\/3 - 609*g**2 + 2. What is the second derivative of q(w) wrt w?\nAnswer: -13440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514*u**3*w**2 - 144*u**2*w**2 + 9*u*w**2 + 60*w**2 - 271 wrt u?\nAnswer: 3084*u*w**2 - 288*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-60)*14*-1)\/(42\/(-70)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103021332120 (base 4) to base 2\nAnswer: 10011001001111110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -46. Suppose -7*k + 7 + 21 = t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.52. Let g = -0.0799905 + h. What is g rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559885734.\nAnswer: 2, 3, 23, 337, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*q - 474*q + 8404 - 44294 = -250*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 2029568?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 12 + 19)*(0*f**3 + f**3 + 0*f**3) + (1 - 1 - f)*(f - 2*f**2 - 2*f + 3*f) + 2*f**3 + 2*f**3 + 0*f**3.\nAnswer: 33*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 5, -1328 in increasing order.\nAnswer: -1328, -11, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 11. Let r be d + (10\/(-4) - -3)*-4. Let x = 15 + r. Let m(p) = -p + 1. Let u(i) = 4*i - 3. Calculate x*u(z) + 5*m(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16594126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 844*n*x**3 + 4*n*x**2 + 2833*x**3 wrt n.\nAnswer: 844*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 126, -1, 1, 3, 2.\nAnswer: -1, 1, 2, 3, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72563417 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d**5 - 1\/2*d**3 + 0*d + 2*d**2 + 0 + 0*d**6 + 0*d**4 + 1\/105*d**7. Differentiate n(p) wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*l + 380 = -2*t, 0 = -2*t + 2*l - 172. Suppose -5*n + 58 = 213. Let w = n - t. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3154608112 - -1?\nAnswer: -3154608111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -294677, -294665, -294653, -294641, -294629?\n\"Answer: 12*r - 294689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -74*i + 5331. Let m be c(72). Let j be 0\/(-5)*(-1)\/1. Solve j = -m*q - 0*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24548411?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) + -3*(sqrt(68) + 0 + sqrt(68) - sqrt(68)) + 4)*1)**2.\nAnswer: -1152*sqrt(17) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.5331513971 minus 3?\nAnswer: 129.5331513971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8109*v - 48658. Determine q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137306 (base 8) in base 6?\nAnswer: 1014034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4950*g + 3056*g - 196976 = 0 for g.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 97 = 16. Put -33, -5, a in increasing order.\nAnswer: -33, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -h, -a + 0 - 12 = 4*h. Is ((-15)\/(-12))\/5 - 1063\/a a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/1)\/((-25)\/(-10850))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 22*x - 67 + 21 + 26 - 4*x**2 + 23 in the form m + i*x**2 + h*x and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68016 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/9 and 4\/225 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130\/7 - -18. Let t = -1 + 1.3. Which is the closest to -1? (a) t (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 9*y = 0. Solve -p = -2 - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517377.319 rounded to the nearest 100?\nAnswer: 517400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*v**2 - 358*v**2 + 211*v**2 - 44*v + 44*v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 - (-31)\/3. Let d be (-4)\/14 - x\/14. Let j be -4 - (4 - 1 - 4). Which is the third biggest value? (a) d (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**2 - 4 + 9*p**2 - p**3 + 2*p**2 = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465081 by 3.\nAnswer: -155027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 2*z**3 + z**4 - 5 + 4 - 3*z**4 + 3*z**4 to r*z**3 + x + u*z**4 + s*z + k*z**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*m - 3*m - 344, -5*h - 1665 = -4*m. Let t be (h\/14)\/(2\/(-4)). Suppose -176 = -4*n + 5*f, 3*f + t = n + f. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**2))*w\/(w\/w**(1\/2)*w*w)*(w*(w*w**6)\/w*w)\/w*w\/(w\/(w\/w**(-4)))*w)\/((w**(1\/2)\/w*w)\/w*w*w*w**5)**(-3\/17) assuming w is positive.\nAnswer: w**(266\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145541 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o**4 - 45*o**3 - 15*o**2 + 135*o - 87. Let v(q) = -3*q**4 + 11*q**3 + 4*q**2 - 34*q + 22. Let b(s) = -2*g(s) - 9*v(s). Solve b(f) = 0 for f.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 10\/5 + 30 - 4. Solve 0 = -b + l - 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932101237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - -414325?\nAnswer: 414352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67816 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68377 (base 10) in base 3?\nAnswer: 10110210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.3 - 5. Let k = j + -0.3. Let s = -6\/5 + 13\/15. Which is the nearest to k? (a) 4\/9 (b) s (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.52 and 1.0038366811?\nAnswer: 0.4838366811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -168876 times 1\nAnswer: -168876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 2*m**6\/15 + 2*m**5\/5 - 4*m**3\/3 - 2*m**2 - 7*m. What is z in d(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3569329146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1229619386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4723 + 4733. Find h such that -10*h**4 + 0 + 5\/2*h + 15*h**3 + 5\/2*h**5 - i*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(468) + -2)**2.\nAnswer: -467 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25, -14, -4, 4.\nAnswer: -25, -14, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 25 = 5*f, -5*f = -2*r - 0*r - 5. Sort -3, -5, r, 1 in descending order.\nAnswer: 1, -3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/2541 and 43\/4818?\nAnswer: 370986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 40 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c35 - -3?\nAnswer: -c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 - 161\/(-49). Let u be m\/(-3 + 9\/2). What is the derivative of u*r**3 - 69 + 70 - 7*r**3 wrt r?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-12)\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-12)*224\/48.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 5, -2, 0 in decreasing order.\nAnswer: 75, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 1602 = 5*z + 1560, -4*a = -5*z + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24))\/((-8)\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)*k)**43*k**(-10\/3)\/k**20 assuming k is positive.\nAnswer: k**(-1876\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 5*w - 8. Let p be q(11). Solve -27 = -p*y + 49*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116.8 - 117. Let f = 172.5 + -171. Which is the third biggest value? (a) -1\/9 (b) r (c) f (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = 4*v, -s - 2*v + 5 = 0. Suppose 3*o - o = 3*f - s, 2*o = -f + 9. Let q(n) = 10 - n**o - 10. Let j(t) = -5*t. Calculate q(j(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.9893 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12212 - -976853\/80. Calculate the common denominator of s and 83\/14.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2156 + 2022.9. Are -1\/3 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26913477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:23 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -15*h + 1. What is a(5)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-11)*(-48)\/14 + -2. Factor 0*n + 2\/11*n**2 + 0 + q*n**3.\nAnswer: 2*n**2*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let i(g) be the third derivative of -g**6\/180 + g**4\/12 - 146*g**3\/3 - 306*g**2. Let r(o) be the first derivative of i(o). Give r(x(n)).\nAnswer: -8*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 16*x - 219. Calculate q(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14678, 29355, 44032, 58709, 73386, 88063?\nAnswer: 102740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 4*d + 4. Let l be i(-4). Let c be 3*(-8)\/l*1. Is ((-145)\/c)\/(4\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7135 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(27))**2 + 2 + (sqrt(168)\/sqrt(8))\/sqrt(7) + 2*sqrt(1452)*-1 + -4.\nAnswer: -43*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 133*c**4\/4 + 56*c + 98. What is the derivative of m(s) wrt s?\nAnswer: 399*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/144)\/((1\/18)\/(14\/(-16))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260 + 261. Are s and 22\/31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -1, 2\/26973, -12 in increasing order.\nAnswer: -12, -1, 2\/26973, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-34))\/(7593\/43027)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -347, -381, -425, -485, -567, -677, -821?\n\"Answer: -a**3 + a**2 - 30*a - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 2*n + 3*n**4 + 10*n**2 + 0*n + 16*n**2 + 4*n to the form w*n**3 + f*n + y + x*n**4 + g*n**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 6*a**2 - 5*a + 1. Suppose -2*m + 18 = 4*o - o, -m = 2*o - 11. What is the units digit of p(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o + 0*o**2 + 0*o**4 - 1\/3*o**3 - 28 + 0*o**5 + 17\/7*o**7 + 0*o**6. What is the third derivative of t(y) wrt y?\nAnswer: 2040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 1, i: 1, v: 1, w: 1}. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-117))\/((-600)\/11700). Let x = 2.92 - -0.08. Let o = -27 - -107\/4. Which is the nearest to d? (a) o (b) 0.6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -22. Suppose 2*u - 5*g - 132 = o, 0 = 5*u + g - 6*g - 315. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -20 + 0 + (-3)\/(-3). Let s = l - -14. Let r(q) = q**2 + 7*q + 10. Let w be r(s). Which is smaller: w or 5\/21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb (base 16) to base 11.\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 34*y**2 + 39*y + 208. Suppose u = 2*r + 64, -3*r + 506 - 611 = 3*u. Give d(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 <= 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 + -5 + 77\/(-7). Let d(w) be the third derivative of w**5\/60 + 17*w**4\/24 + 23*w**3\/6 + w**2. What is the remainder when d(n) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -3 - -1) + 6 - -18 - 2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 228 = -260. Let k = -58 - h. Suppose -5*n = 5*a - 110, -2*n + 3*n - k*a = 2. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 0.4, 3\/118?\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q)**(-12\/5)\/(q**(-2\/5))**18)\/((q\/(q\/(q\/q**(-1\/3))))\/((q\/(q*q\/(q\/q**0)))\/q))**(11\/2) assuming q is positive.\nAnswer: q**(-313\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27490 (base 11) to base 10.\nAnswer: -39182","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1084\/11 + 8661\/88. What is the nearest to 12\/11 in 0.3, z, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 (base 10) in base 7?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 + 48070*k**2 - 288986*k - 11876254 = 0 for k.\nAnswer: -24041, -13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + u - 5*u)*(1468*u**3 - 3069*u**3 + 1287*u**3)*(2 - 3 + 5) to the form c*u**2 + y*u**3 + t*u + d + i*u**4 and give i.\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 11*a**2 + 10*a**2 - 10*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 14*i - 62. What is n(21)?\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*b + 70, -3*t + 125*b + 123 = 122*b. Let r = 89 - 38. What is the smallest common multiple of r and t?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 566*p + 4*p + 36*p - 192*p + 575*p as v*p + j and give v.\nAnswer: 989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*y - 5*n, -226*n - 15 = -223*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 345041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/5 + 39*j**3\/5 - 36*j**2\/5 = 0. What is j?\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -807785 and 0.01.\nAnswer: -8077.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)\/((k**(6\/11)\/k)\/k))**(-3\/29) assuming k is positive.\nAnswer: k**(-188\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 224, 239, 270, 323, 404, 519?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 12. Let p be q*((-3)\/(-2) - 1). Let 12*r**2 - p*r**3 - 4*r**2 - 24*r**4 - 2*r**5 + 34*r**4 - 10*r**3 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 13 - 1. Suppose 5*v - 4 - 21 = s*c, 0 = 5*c. Solve 4*g + 26 = v*t, -2*t = -3*g + 3*t - 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/1)\/(-5)*16\/4. Suppose -28 + 8 = -j*c. Let x(q) = -16*q**3 + q. Let f be x(-1). What is the greatest common factor of f and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 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: List the prime factors of 2724704.\nAnswer: 2, 85147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722 or -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1182*w + 1184*w - 2369*w. Let b(a) = 38*a - 54*a + 29*a. What is j(b(o))?\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 0 - 2 + 3*t + 3*t**2 + 3. What is the smallest common multiple of (5\/3)\/((-66)\/(-9) + -7) and j(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (129\/(-172))\/((-2)\/3704)?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-38)\/(-9) - 88\/396. Suppose 0 = c + 5, -7*c + q*c = -4*h + 170. Calculate the smallest common multiple of h and 140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4478628 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(12\/312). Suppose -14*z + 5*z = -s*z. Suppose j - 4*m = -16, 2*j = 4*j + 3*m - 12. Solve k + j - 1 = z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 26777, 4 in decreasing order.\nAnswer: 26777, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y + 10*y - 76*a + 72*a + 55, -2*y + 40 = 2*a for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2 - (0 - 3). Suppose -2*q - n = p*q - 73, -25 = -2*q + n. Let i be 2\/q - (-2)\/7. Sort 0, -0.3, i.\nAnswer: -0.3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 1. Let n be b(2). Let d(x) be the first derivative of -x**3\/3 + x**2\/2 - 24. What is d(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2553817 and -59\/74564?\nAnswer: 10215268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 4855 = 2345. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - 0\/(-2))\/(-1). Let s be 5\/(a\/28) - 1. Suppose -12*l + 17*l + t = 267, 277 = 6*l - 5*t. Calculate the greatest common factor of s and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*p + 32, 0 = 5*u + p + p - 73. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/6 - 2*i**2. Let w(j) be the second derivative of j**4\/6 - 2*j. What is w(v(a))?\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 13. Let k(w) = 296009*w - 11. Let h(r) = -296010*r + 13. Let q(d) = -8*h(d) - 9*k(d). Let j be q(f). Round j to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 22 = 82. Suppose -2*q = -q - f*k - 2, -2*q + 25 = -k. What is the least common multiple of ((-110)\/(-15))\/((-1)\/(-3)) and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(5\/(-30)*27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14102120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 3*f**2 + 3*f**2)*(3*f**2 + 3*f**2 - 4*f**2) + f**4 + 4*f - 4*f + (3*f - 3*f + 2*f**2)*(-f**2 - f + f) + 3*f**4 - 1 + 1 + 4*f - 4*f - 4*f**4.\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 30*o - 55*o - 168 = -29*o, 23*q = -2*o + 126 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/(-15))\/((-3 - 0)*(-6)\/(-180)). Which is smaller: 224\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*l**3 + 101*l**3 - 287*l**3 + 1 + 2*l + 2*l**2 - 5*l**2 + 96*l**3 as i*l**3 + t*l + v + a*l**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30337857.\nAnswer: 3, 11, 29, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:08 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*k - 24 = 0, 5*i + 4*k - 32 - 8 = 0. Let h(g) = 0 - 3 - 3 + 1 - g**2 + 11*g. Calculate the remainder when h(7) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 6691287\nAnswer: -334564.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54401014 (base 6) to base 11.\nAnswer: a05397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 26 - 23 + 4*o**2 + 0*o**3 in the form y + z*o + q*o**3 + w*o**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10308 + -10304. Solve w*a = 19 - 51 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4100 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0 (base 16) in base 12?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -103279043.\nAnswer: 516395215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Suppose -s*h + 0 = -20. What is the tens digit of 50 - (2 - (h - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -119. Let d = k + -54.00000194. Round d to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -3*y - 5*k, -3*y = 2*k - 11. Let c = 44 - 6. Calculate the remainder when ((-2)\/(-4))\/1*c is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 11*i**3 + 22*i**3 - 3*i**3 - 4*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3495.\nAnswer: -1\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212024 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from {y: 3, w: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 3*y + 9, -z + 2*y = -3 - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 - 12*d**4 + 32*d**3 + 48*d**2 - 64*d = 0. What is d?\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4392 = 4*u + a - 4401, -u - 9 = 4*a. Let 5*n**u + 0 + 1\/3*n**2 - 1\/3*n**4 - 5*n = 0. Calculate n.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-7)\/(-4) + 0. Let m = 148 - 138. Suppose -4*o - m = 2*q, 2*q + 1 = -0*q + 5*o. What is the third smallest value in -2\/5, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 >= 401\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3 + (-51)\/(-6)). Let l(d) = d**2 + 13. Let o be l(m). Suppose 2*r - o = 248. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2.3, 1\/38, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -4*q**2 + 4*q + 28 + 2\/3*q**3. What is o(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148146*m + 133459 with respect to m.\nAnswer: -148146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368 = 327*b - 157*b - 193*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/11, -5, -0.5, 0.2, 2.65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4347891, -4347893, -4347895, -4347897, -4347899, -4347901?\n\"Answer: -2*z - 4347889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 74*y - 354. What is the tens digit of j(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404 - 403 + 25*c - 80*c + 40*c + 805.\nAnswer: -15*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 - 11*i - 7. Let r be c(-7). Let y = 75 - r. Suppose 124 = m - z - 22, -y*m + z = -718. List the prime factors of m.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5851 = -3*t - 2339, 0 = -4*s - 3*t - 2788. Round s to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavvvavaavanvnvvvva. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 172604216 to the power of 1\/3, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1654036039 - -3.\nAnswer: 3.1654036039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 266546 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32785 and 38595.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 * -0.00389.\nAnswer: -0.13226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -44. Calculate the remainder when (117\/27)\/((-2)\/w) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8289 divided by 3.\nAnswer: -2763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2993*q**2 + 6402*q**2 - 3413*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11000011?\nAnswer: 11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = 2*r + 32, 5*r + 28 = -104*q + 100*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12\/13 - -227\/91. Let x = p - 23\/28. Let b = 37 + -112\/3. Put b, x, 1 in decreasing order.\nAnswer: 1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-114)\/4*(4 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:25 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6cea (base 15) in base 9?\nAnswer: 34704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 - -1?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -54848.3823.\nAnswer: -54848.5823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1786072 and 920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4396*p - 118. What are the prime factors of b(2)?\nAnswer: 2, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 165240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2244)\/(-77))\/17)\/(((-6)\/2)\/(-63))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71859 is divided by 35123?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5288 = 21*o + 634. Let i = o - -271. Which is smaller: -32\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47985660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1316, 6, -1475, -5 in increasing order.\nAnswer: -1475, -5, 6, 1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 times 4?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 128*s + 3510. Give w(39).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.01929, -3, 1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*t**4 + 9740*t**3 - 3406*t**2 - 10*t?\nAnswer: 480*t + 58440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 12022?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 579 and 0.1?\nAnswer: 57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -60721\/4 = 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 655730 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -5*v**3\/3 + 15*v**2 - 25*v + 8. Factor l(z).\nAnswer: -5*(z - 5)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 3, -17616, -1, -3.\nAnswer: -17616, -34, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 - 7*l - 2. Determine m(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2))\/sqrt(5) - (-3 + sqrt(24)\/sqrt(8))) + 0 + (sqrt(3) - sqrt(108)) + sqrt(24)\/(sqrt(88)\/sqrt(11)).\nAnswer: -4*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 0.87 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a\/(((a*a**(-13\/3))\/a*a)\/a))\/a))\/(a**(-1\/11)\/a) assuming a is positive.\nAnswer: a**(-107\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {k: 2, t: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 490768 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 883*x**3 - 6875.\nAnswer: 2649*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603315.6 years to centuries.\nAnswer: 6033.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14975, -29950, -44925, -59900, -74875?\n\"Answer: -14975*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20271 - 6058. Suppose -5*n + y - 2478 = 0. Suppose 5*v + 1262 = 4*q + 3615, 5*v - n = q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*h + 5205 + 1996 = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -2\/15 (b) -34 (c) 762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6093 at most -6093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*s + 34 + 181, -10 = -2*s. What is the remainder when 25317 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 11*r**6\/225 + 163*r**5\/150 + 487*r**4\/90 + 269*r**3\/45 - 22*r**2\/5 - 11*r. Find n, given that x(n) = 0.\nAnswer: -11, -3, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -12. Which is the closest to 1? (a) y (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 + 10 - (-1 - -1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 469871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -8)*4\/(-1). Suppose -4*l - j = 0, 3 = -4*r + l + 28. Suppose 0 = r*b + 4*t - 364, 6*b - 3*b = -t + 217. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 14, s: 4}. What is prob of picking 1 e and 3 s?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2332 - 110?\nAnswer: -2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4236962?\nAnswer: 2, 19, 43, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.345 + -0.8784. Let v = k + -0.459. What is v rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2248 + -2219. Let r(p) = p**3 - 6*p**2 - 7*p + 2. Let b be r(7). Let s(q) = o*q**2 - 19*q**2 - 13*q**b. Let g(u) = -8*u. Determine g(s(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -8, -18138 in descending order.\nAnswer: 4, -2, -8, -18138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7761 and 57909.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 23*y + 324. Let q be m(-14). Suppose -14 = -2*j - 4*x, -q*x - 124 = -4*j - 106. Solve 23 = 5*s - 2*z, 23 = j*s + 4*z - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -30*2\/(-27) - 2. Which is the nearest to k? (a) -3 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in -1.05, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - n**3 + 1110 + 6*n**3 - 1110.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22111000121022 (base 3) to base 15.\nAnswer: 5e09d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddteddedkdsdwkwdesk. What is prob of sequence wte?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 6*c**2 + 10*c - 7. Suppose -t + 29 = -3*r, 6*t = 8*t - r - 33. Calculate the remainder when y(6) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 + 4*v + 3. Let h be p(-4). Suppose -h*y = -y + 4*n - 6, -3*y = -n - 9. What is the units digit of (-1)\/(y\/42*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -114, -147, -180, -213?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105995032 and 44.\nAnswer: 105995032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 0. Suppose -v - 1 = -n - 0*n, -2*n + h = 4*v. Suppose 2 = -4*x - v. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 34487911.\nAnswer: 310391199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 103. Let o be -4*8\/(-12)*(4335\/476 + -9). Which is the closest to i? (a) o (b) 3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 11 = -17. Solve f = 4*u + 14, x*u + 3 + 1 = 4*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26599 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (656\/72 - 9)\/((-7)\/(-315)). Solve -10 = 5*t + 5*h, -f = t + 3*h - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 76. Which is greater: b or 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5146 (base 9) in base 4?\nAnswer: 322320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 34*s**2 + 20*s - 29. Is p(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-4))\/(1\/(-4)). Let g = 3 + f. Suppose v + g = 14. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 14790710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, n: 4, a: 6}. Give prob of picking 2 s and 2 n.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, h: 2}. What is prob of picking 2 d and 1 h?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/3 - -9. Let g be (-228)\/(-570)*5\/(-10)*(0 - -1). Which is the closest to -0.3? (a) -2\/9 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328538 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (11 - (10 - -4) - -7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 17. Let w(o) = -6*o**3 - 11*o**2 + 7*o + 9. Calculate the remainder when w(k) is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 + -15)*27\/(-6). Solve 4*l + 3*g + t = -14, -5*g + 15 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321815.\nAnswer: 5, 421, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34698054 divided by -17\nAnswer: 2041062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40317336*h**2 - 3116653*h wrt h?\nAnswer: 80634672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u + 21 + 17 - 2*u - 2*u - 3*u. Calculate w(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 10*t**2 + 559*t + 1347. Give c(30).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1385.9 kilograms?\nAnswer: 1.3859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1210 = -16*d - 629 - 149 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 0, -73*a = -77*a - i + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, m: 5}. Give prob of picking 4 r.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + b - 5*b)*(-4*b - 3*b**2 + 2*b - b) to the form l + r*b**2 + m*b + g*b**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 134 - 138 - 138 + 349 - 2*d**2 + 54.\nAnswer: -5*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - x. Let r be q(5). Suppose c = -c + 3*a + 38, r = 5*a. Suppose 187 + c = 4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(3\/4))\/(((u\/u**0)\/u)\/u))\/((u*u**(-1))\/u)**(23\/5))\/((u**5*u)\/(u\/(u*u**(-3\/5))*u)*u*u*u\/(u**2*u)*u*u*u**(2\/3)) assuming u is positive.\nAnswer: u**(-73\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 13) in base 7?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:12 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4671, -4395, -4105, -3795, -3459, -3091?\n\"Answer: w**3 + w**2 + 266*w - 4939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 47. Let d = -80 + 79.5. What is the nearest to 0 in -3\/2, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3053*t**3 - 1528*t**3 - 1531*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.108254 to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 - 365 = -279*h - 3544 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 48797*c + 89. What is the units digit of m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 12:56 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -212032112?\nAnswer: 212032123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 176 and -0.71665091891?\nAnswer: 176.71665091891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*a + 4, -2*a - 3 = -4*s + 13. Let x be (-4)\/(-6) - 44\/(-6). Let q(t) = -t**3 + 9*t**2 - 6*t - 9. What is the remainder when q(x) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72835 and -5?\nAnswer: -364175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2828 and 129179?\nAnswer: 3617012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 9*j**3 - j - 2 - 2 - 3*j**2 + 2*j**2. Does 39 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(sqrt(98) - (1 + sqrt(98) - sqrt(98))) + 4)**2*3.\nAnswer: -1848*sqrt(2) + 5067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.079 and -9949.8.\nAnswer: 786.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpgqkgy. Give prob of picking 2 g and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.047793 years?\nAnswer: 0.008047793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.38849ng to micrograms.\nAnswer: 0.09938849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 + a - 3. Let h be f(-7). Let r = h - 38. Is 3\/11 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -120. Solve -5*m + u = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7571, 7572, 7573, 7574, 7575?\nAnswer: 7576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 57 + 173 - 59 - 41*p.\nAnswer: -41*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 926.7293 * -0.5\nAnswer: -463.36465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + 16 + 16*z**3 - 16.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -4, 6, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 348254600 a multiple of 3285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663236 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away 2979?\nAnswer: -3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:41 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255.9 + 268.9. Which is the second biggest value? (a) 3 (b) 10 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-495)\/(-60)*(0 - 2)*(-4)\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - (-19 - -20) - 36)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 333194442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 24821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p + 6. Let t be i(-6). Let v(z) = -z + 10. Let j be v(7). Let x(q) = 26*q - 3. Let h be x(j). What is the highest common factor of h and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704758*l + 1705042*l - 13916 = 0 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/5 = 167634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1362, -2724, -4086, -5448, -6810?\nAnswer: -8172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 13 (c) 0.043 (d) -0.2 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(63)*-6*2 - (((3*sqrt(7) + sqrt(7))*2)**2 + sqrt(7) + (sqrt(7) + 2 + 3)**2).\nAnswer: -480 - 47*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11630.6 and 39164.\nAnswer: 27533.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by -217?\nAnswer: -164\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5))**(-2\/123)*(c\/(c**(-2\/9)\/c)*c)**45)\/((c**1\/c**1)\/(c**(4\/7)*c*c**(1\/5))) assuming c is positive.\nAnswer: c**(631823\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277770?\nAnswer: 2, 3, 5, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*t**3 - 2452*t**2 - 5*t - 57588134 wrt t?\nAnswer: 231*t**2 - 4904*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -86 * 605477\nAnswer: -52071022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 + 3*u - 5. Let t(z) = 4*z**2 - 3*z + 4. Let g(h) = -5*j(h) - 6*t(h). What is the remainder when g(7) is divided by (86\/301)\/((-16)\/(-1456))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648, 714, 778, 840, 900, 958?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3948 = 61*p + 288 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -842 + 842 - 40*q**3 - q**2 + q**3 + q**2 + (-q**2 - 2*q**2 + 5*q**2)*(3*q + 0*q - 2*q).\nAnswer: -37*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021991824 rounded to six decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/((t**(-3\/5)*t)\/t))\/t*t*t)\/t)**44)**(3\/2)\/((t*t**(3\/5))\/t*t**(1\/2)*(t**2)**(-2\/63)) assuming t is positive.\nAnswer: t**(21491\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + a)*(-4 + 1 + 1) + 5 - 5 + 3*a)*(-2*a**2 + 4*a**2 + 2*a**2) to m*a**3 + h + s*a**2 + k*a and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73052613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1079\/6 + 180. Let x = 4.11 + -0.11. What is the third biggest value in q, x, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 - 157. What is the highest common factor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 568 - 568.1. Put 0.5, -8.4, m, -0.3 in descending order.\nAnswer: 0.5, m, -0.3, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 600335 (base 10) to base 4\nAnswer: 2102210033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2408, 2663, 3098, 3719, 4532, 5543, 6758, 8183?\n\"Answer: r**3 + 84*r**2 - 4*r + 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030396385 rounded to 5 decimal places?\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -1\/11, 0.1, 3\/2, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/417 and 11\/417?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 6, 16.\nAnswer: 6\/5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 6. Let k = -0.26 - 15.74. Let y = n + k. Which is the closest to -1? (a) 0.4 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 + 2.1738?\nAnswer: 2.2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/18*2 - (-666)\/(-81). Let l(u) = 2*u**2 - 3*u - 36. Is 29 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 + -199.2. Let a = 0.38 + -0.08. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1144 - -1153. Suppose 2*y = -3*y + 30. Calculate the remainder when k is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 72. Let r be ((-3)\/(-2))\/(t\/(-100)). Suppose -20*g + 18*g - 4 + r*g - 4*g**2 = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15032 - 3193. List the prime factors of n.\nAnswer: 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*u - 3 - 13, -u - 2 = -3*k. Suppose k*i + 17 = 61. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 - (-166 - (-67 + -26))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erw when three letters picked without replacement from rnwccnjrecne?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 18. Let m be t(13). Let w = 46 + -59. Let d = w - -15. Solve -8 = m*c + d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u**2 + 6*u - 7. Let d(m) = 3*m**2 - 2*m + 2. Calculate 7*d(o) + 2*f(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/24 + 7*q**3\/6 + 7*q**2. Determine w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118185873*f**3 + 327*f**2 - 39983*f + 2?\nAnswer: 709115238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1331)*-3 - (sqrt(11) + (sqrt(44)*1)**2)) + (-1 + (sqrt(11) + 1)*-1)**2*5.\nAnswer: -14*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from {q: 2, v: 3, s: 2, a: 2, j: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 78, 81, 64, 27, -30, -107?\n\"Answer: -10*i**2 + 53*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2462 + 2447. Which is the nearest to q? (a) 4\/9 (b) 0.07 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 4, -2, -3 in decreasing order.\nAnswer: 8, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-1))\/4)\/(405\/180).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 2. Let j be l(-4). Let s(w) = -w**2 + w**j - 2*w**2. Let o(f) = 3*f**2. Give s(o(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 42, 79, 132, 207, 310?\n\"Answer: g**3 - g**2 + 23*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 702\/125 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**4 - 7*k**3 - 182*k**2 - 756*k - 962. Let h(v) = -v**4 + v**3 - v**2 - 2*v - 1. Let u(f) = -4*h(f) + 2*j(f). Let u(a) = 0. What is a?\nAnswer: -4, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + 13 + 5*3. Let p be 40448\/(-18) + 3\/w. Let c = 2249 + p. Find the common denominator of c and -20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1827284 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 376 = -25*s. Suppose -5*t = s + 796. Calculate the lowest common multiple of 12 and t\/(-9) + 22\/99.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 291?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-2*p**3 + 0*p**3 + 0*p**3) - 4*p**3 - p**3 + 3*p**3 + (-3*p**2 - 15*p + 15*p)*(-5*p + 2*p + p) + p**3 - 2*p**3 - p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.816079 millilitres in litres?\nAnswer: 0.000816079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 2. Suppose -4*b - l + 2*l + 25 = 0, -l = -5*b + 31. Suppose r - v = b. What is the smallest common multiple of 5 and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**4 + 42*u**3 - 54*u**2 - 42*u + 49. Let x(d) = 5*d**4 + 295*d**3 - 380*d**2 - 295*d + 345. Let l(r) = 2*x(r) - 15*y(r). Solve l(a) = 0 for a.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/((3\/3)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z - 2*v + 3 = 0, 4*v - 12 = 0. Suppose -b = -z*b. Let i be (-1)\/3*(0 + b). Which is greater: i or -4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 49. Let t(o) = 4016*o. Determine s(t(y)).\nAnswer: 8032*y - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00236 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -t - 0*t - 737 + 776, -5*v - 4*t + 58 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -202112 (base 3) in base 15?\nAnswer: -26e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82128897.\nAnswer: 3, 137, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1497, 634, 4187, 9162, 15559?\nAnswer: 23378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4810541.4ns to hours.\nAnswer: 0.0000013362615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/80050 and 109\/6.\nAnswer: 240150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(2\/70)\/((-1)\/(-5)*-3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4827244.5+22\nAnswer: 4827266.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**45\/(c**(-1\/2)\/c)**(-11\/6) assuming c is positive.\nAnswer: c**(283\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 70.4.\nAnswer: 140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 4. Let p(g) = g**2. Let o be p(0). Let d be i(o). Let k = d + -9\/2. Which is the third biggest value? (a) k (b) 0.4 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w + 48*w + 576 = 180*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 11*f - 20. Let a be l(-6). Suppose -1973 + a = -7*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1672434782 and -4.\nAnswer: 6689739128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/11)))\/c*c**5*c*(c\/c**(5\/2))\/c*c**(2\/5) assuming c is positive.\nAnswer: c**(339\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*a = 10, -3*x + a = 19 - 17. Solve -9 = -3*k - x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14810 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n**3 - n**2 - 7*n + 5. Let t(o) = 15*o**3 + 2*o**2 + 15*o - 12. What is 2*t(z) + 5*y(z)?\nAnswer: -5*z**3 - z**2 - 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {z: 2, g: 4, j: 7, s: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 89.9 from 0.05.\nAnswer: -89.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.3 + 34. Let r = 42356 - 42355.7000016. Let t = r + z. Round t to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 139a2?\nAnswer: 139a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*2)\/((sqrt(72)*1 - sqrt(72)) + sqrt(72)) + -2*((sqrt(720)*3 + sqrt(720))*6)**2.\nAnswer: -829440 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*r - r = 26, 2*r = 3*v - 19. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-5)\/2*318\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-8) + 9\/12. Let t(p) be the second derivative of p**3 - 2*p**2 - 2*p. List the prime factors of t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 13. Let o be (5\/1)\/(-1) - 1. Calculate the lowest common multiple of n and ((-15)\/o)\/(1\/8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2294\/1115 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 30221.75693 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*i - 12, 6*i + k - 30 = i. Suppose 2*s - 20 = 6*s. Let a = s - -9. What is the remainder when i is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/5 of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*w - q - 4*q, 0 = -2*w + 2*q + 14. Calculate the greatest common divisor of 63 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 11*v**3\/3 + v**2 - 5*v + 1. Suppose -16 = -4*p - 4*r, 2*r + 1 - 5 = 0. What is the tens digit of y(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -19*g**2 + 733*g - 7739. Give o(10).\nAnswer: -2309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 12 = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -j. Is (-2)\/j - 7758\/(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10773*x**2. Let h(z) = 3466*z. Determine d(h(k)).\nAnswer: -129417729588*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -102303?\nAnswer: -102232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 56. Let i be f(17). Suppose -i*m = m - 618. What is the remainder when m is divided by 5\/(15\/(-21))*-3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3332*s + 11945*s + 144346 - 144346 to o + z*s and give z.\nAnswer: 15277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6bd6 (base 14) to base 12.\nAnswer: aa74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*t + 3. Suppose -t*w + 85 - 13 = 0. Calculate the remainder when 58 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1104*c**2 + 637*c**2 + 417*c**2.\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 - 1\/6*f**4 - 9*f**2 + 2*f**3 + 13*f. Solve k(i) = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 27 = 137. Suppose 8 + 6 = 2*f - 2*o, 5*f - 2*o - 26 = 0. Let x = f + y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.0056 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1945, 7578, 16961, 30088, 46953, 67550?\nAnswer: 91873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936 divided by -734?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/413?\nAnswer: -6\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -1 - (-406 + 358)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxpxspp. What is prob of sequence xx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) 3 (c) 3513 (d) -21\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -108 - 87 - (21 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 3*m - 105 + 105 - 31.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 72. What is the lowest common multiple of 123 and j?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3441333.9609 - 3440501. Let r = u - 833. What is r rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 73457 = 30197. Is -3605 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 736777.\nAnswer: -4\/736777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 307822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 6*k - 32. Let d be r(-6). Let o = 122 - d. What is the greatest common divisor of o and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = x - 23313, 4*x + 789*a - 784*a = 93258. List the prime factors of x.\nAnswer: 3, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -103.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/11 or -2?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 + 0.17. Let l = 0.46 + u. Let z = -1 - -1. Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from {e: 2, l: 3, u: 7, j: 5, y: 1, t: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 38\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/7)*y**(-13))**(-16) assuming y is positive.\nAnswer: y**(1328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -477 + -4?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2917080 divided by 5402?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 19*o + 4*q = -52, 5*q = -3*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -15, -5*b - 3 = -w. What is the remainder when (5 - -17)\/(1 - b\/(-3)) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-10))\/((-7)\/(7\/2))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194404\/103 at least 1886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 + 36*b + 22. Let u(s) = 4*s**2 + 24*s + 15. Let v(m) = -5*p(m) + 8*u(m). Let n = -987 - -982. Let z be v(n). Solve z = -d - 0*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 56*a**3 + a**2 + 8*a - 58. Is 97 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 10*v + 1. What is h(-12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5550000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**3 - 2*i**2 + 1503325947*i - 1503325947*i.\nAnswer: -33*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1824*d - 355*d - 5876 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - 0 - (2 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1821308677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96136999*b*d**3 - 163*b*d**2 - 209*d**2 + 211 wrt d?\nAnswer: 576821994*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)\/v**(-47)*v**(2\/43)*v\/(v\/v**39)*v*v assuming v is positive.\nAnswer: v**(3356\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-35) - 14\/(-35). Which is smaller: j or 3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0169 - -601.0169. Let q = -601.5 + d. What is the second smallest value in q, 96, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:21 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + (-108)\/(-14). Let m = j + -4. Suppose -w - 90 = -m*w. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 362740 and 36274.\nAnswer: 362740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442376 is divided by 2137?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4833 - 4828. Solve 5*f - 5*z - 15 = 0, -f + z - 17 = c*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/12 - 21*d. Let h(l) = 13*l. Give h(k(c)).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, -1\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o**3 + 17*o**2 + 41*o + 11. Let d(z) = -z**3 - z**2 + 9*z + 1. Determine -6*d(k) + t(k).\nAnswer: -2*k**3 + 23*k**2 - 13*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1692)\/(-1377))\/47)\/(((-1)\/(9\/12))\/2).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-17))\/j*j)*j**(-1\/9)*j*j)\/((j*j**18\/j*j)\/(j\/(j*j**(-13\/3)))) assuming j is positive.\nAnswer: j**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*b - 16, 6*b - 3*b - 18 = -3*r. Solve -12 = g + t - 3, 3*t + 2 = b*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3646.1 + 3868. Round i to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11*2\/2*1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18475856 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 472*q - 3866. Give v(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562147 - 193*n**2 - 1124287 + 562140.\nAnswer: -193*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 + -232?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 4*i. Let d be k(4). Let l be (-9)\/(-2)*(-2)\/24. Put -0.5, d, l, -2 in descending order.\nAnswer: d, l, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5 = -g + 18, -12*f + 83 = -13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round -4236473 to the nearest 10000.\nAnswer: -4240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 710 divided by -142.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 6*t + 14. Let a be h(-7). Suppose 0 = -d + a + 8. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -956, -2070, -3608, -5570, -7956?\nAnswer: -10766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-8687)\/(-4088))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197080 and 2600.\nAnswer: 985400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786*o**2 + 785*o**2 - 54*o**3 - 53*o**3 - 2346*o**2 + 105*o**3 + 775*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from heeeehezzzeheaazehe?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-7)\/2*2. Let l be (-28)\/(-6) + (-2)\/(-6). Suppose -3*n = -l*n + 10. Calculate the highest common factor of k and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52918125 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (38199\/20865 + 3\/(-5)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 + -80 + 20 - -21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 841 - 416. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 5*b - 2. Let o be d(6). Let g be 9 + -2 - (-52 + 7). Suppose 26*c - g = 13*c. Solve -c = -o*z - 0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 29?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 8. Let n be o(-7). Suppose 4 = z + n. What is the units digit of (-154)\/(((-12)\/z)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15593805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -26096698 not equal to -52193393\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2952\/(-2296)*(-4)\/(-6) - (-106)\/(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/12 - -1)*(-6)\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 6738?\nAnswer: 47166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 0, -9, -22, -39?\n\"Answer: -2*f**2 + f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 8*y - 4. Let a(w) = -3*w**2 - 16*w + 7. Calculate -3*a(h) - 5*b(h).\nAnswer: 4*h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 16*n**2 - 25*n + 90. Let y be u(16). Let j be (-4)\/10 - (-1432199876)\/y. What is j rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -762*n - 14475. Let v be t(-19). Solve -99\/4*m + 99\/4*m**2 - 9\/4*m**4 + 15\/2 - 21\/4*m**v = 0 for m.\nAnswer: -5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - z**4 + 157*z**2 - 158*z**2 - 7*z**3 + 2*z**4 - 2*z + 2 to u*z**3 + p + x*z**2 + h*z**4 + d*z and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25*((-18)\/(-8)*13\/(-39))\/(10\/(-48))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925229 is divided by 925220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*m - 2231016 + 2231016.\nAnswer: -122*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 2*k)*(0*k - 2*k + 0*k) + 78 - 78 - 14*k**2 + 5*k**2 - 3*k**2 + 0*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4828\/253 + 186\/11. Which is greater: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 4:42 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + n**2 - 2*n - 3. Let x = -1 + -1. Does 16 divide h(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58907, 58920, 58933, 58946, 58959, 58972?\nAnswer: 58985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -96, 5, -28 in decreasing order.\nAnswer: 11, 5, -5, -28, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 160 (b) -2246 (c) 2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y + 11. Calculate the remainder when 31 is divided by z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) + (1 + sqrt(10)\/sqrt(5) - sqrt(2)))*5 + 3 + (sqrt(200) + 2)**2*5 + 2.\nAnswer: 205*sqrt(2) + 1035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*320\/(-720)*3*1\/4. Factor -4*i**z + 2*i + 1\/2*i**4 + 15\/2*i**2 - 10.\nAnswer: (i - 5)*(i - 2)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:29 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 1\/20*x**5 + 0*x**2 + 0 + 4*x - 1\/30*x**6 + 0*x**3 + 0*x**4. Determine z, given that b(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 2, e: 3, p: 2, z: 10}. Give prob of sequence ze.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 164*b**2 + 297*b - 230. Let x be n(84). Is x less than -3506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 + -3.4. Which is the closest to 0? (a) g (b) 1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 108, 131, 156, 183, 212?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 3*k**2 + 2*k + 2. Let o be m(-2). What is the common denominator of 127\/18 and 35\/294 + (-4)\/o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3521 and -0.1?\nAnswer: 3520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*(12\/(-21))\/(16\/648). Calculate the greatest common divisor of 270 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217133 + 217139. Calculate the smallest common multiple of g and (-2)\/(-8) + (-167)\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/280*7)\/(3*(-2)\/36).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16253 + 16251. Which is the nearest to 0.2? (a) 1\/58 (b) -2\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 8:40 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 - 200*s**3 + 5788*s**2 - 58216*s + 127794 = 0. What is s?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/431 - 427\/862. What is the nearest to 0.1 in v, -16, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 12*o = 20. Let d be 222\/(-8) - (0 - -1). Let s = -29 - d. Which is the closest to 1? (a) s (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*m + 12 = -6, -3*m = 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 107*o**6\/6 + o**2\/2 + 47*o - 1783. Find the second derivative of z(i) wrt i.\nAnswer: 2140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3913*u**2 + 1900*u**4 - 923*u**4 + 1116*u**2 + 2089*u**4 wrt u?\nAnswer: 73584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2595223*w**5*x - 8*w**4*x**2 + 4*w*x**2 - 14315677*w wrt w.\nAnswer: 51904460*w**3*x - 96*w**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 432 = -x. Which is bigger: 71 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*g + m, 0*g + 2*m + 2 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5253 by 24715.\nAnswer: -5253\/24715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191*f*z**6 + 2*f*z**4 - 50*f*z - 45*z**4 - 23*z**2 + 3 wrt z.\nAnswer: 22920*f*z**3 + 48*f*z - 1080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 5131874*n\/7 + 102636680\/7.\nAnswer: 2*(n + 20)*(n + 2565917)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001550571 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -v - 65, -2*v + 2*s - 129 = -s. Let k = -70 - v. Let d(h) = h + 4. Calculate d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 + 3*c**2 - 6*c - 127833. Let r(q) = -q + 1. Let o = 73 - 43. Determine o*r(a) + 5*w(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 778, 2373, 5488, 10663, 18438, 29353, 43948?\nAnswer: 62763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 12*g - 13*g + 22 = 55, 136 = -5*o - 4*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/21)\/(23\/((-5635)\/(-1230)) - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 15\/(-6) - 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1047*u**2. Let f(i) be the second derivative of -i**3\/3 + 385*i. What is f(a(s))?\nAnswer: 2094*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669545 is divided by 222315.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -3, -1\/5, -1.9, -0.76 in increasing order.\nAnswer: -3, -1.9, -0.76, -1\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 302312?\nAnswer: 302331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689\/477 - 20\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 39*r**2 - 36*r + 155. Give p(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 13*d**2 - 2*d + 3. Let q(j) = -2*j**3 - 6*j**2 - 2*j + 13. Let o be q(0). Determine s(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (184 - 2*y - 188 + 9*y)*(-1 + 4 + 1)*(2*y**2 + 2*y**2 - 2*y**2).\nAnswer: 56*y**3 - 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 6*l + 1 + 7*l**2 + l**2. Is w(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*v + 74*v = -58*v + 391 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, -251, 5, -319598?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:21 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 6*y. Let g(z) = 11*z**2 + z. Suppose 3*c - 33 + 152 = 4*o, 5*o + 5*c - 140 = 0. Calculate the remainder when o is divided by g(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67.38 or -0.3?\nAnswer: -67.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*v + 16 = -3*v, 2*u - 4*v - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**3 + 4*f**2 + 0*f**2 - 48*f**3 - 3*f**2.\nAnswer: -34*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-91)\/(-2))\/7. Let s = 125\/22 + f. Sort 2\/9, -3, s in decreasing order.\nAnswer: 2\/9, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(6*sqrt(2904) + sqrt(24) - sqrt(24))\/((sqrt(8)*6 - sqrt(8))*5).\nAnswer: 4 + 132*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w = 4. Let v(c) = -2*c + 5 - 1 + w. Let x be v(5). Put -4, x, 1 in descending order.\nAnswer: 1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 38*k - 10304 = 0. What is the greatest common divisor of 70 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 3, 8*s - 3*s - 20 = 7*p - 2*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1010641, 4042562, 9095761, 16170238, 25265993?\n\"Answer: 1010639*q**2 + 4*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 c, and 1 v when four letters picked without replacement from uctuivwct?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + (-1)\/(-3). Let c(m) = -m**3 + 5*m**2 - 3*m + 1. Let f be c(4). Suppose 2 = -f*w - 3. Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2027960 and -3.\nAnswer: -6083880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789647395.\nAnswer: 5, 157929479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6058 + 6060 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1662 by -3.\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (1 + 0 - ((-720)\/35 - -31))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3\/4 + 737235*w**2\/2 + 8846727*w\/4 + 1843065 = 0.\nAnswer: -491484, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-10 - 4 + 5)*(0*x**3 - x**3 + 2*x**3).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -11570 and -11564 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 696552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1446.\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 28. Suppose 3*q - 4*q - 2*s = -58, i*q - 5*s - 119 = 0. What is the second derivative of -9*u**4 - 14*u - 48*u**3 + q*u**3 wrt u?\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuju when four letters picked without replacement from {o: 3, v: 3, u: 2, q: 3, j: 1, k: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 527484.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -22, -48, -88, -148, -234, -352?\n\"Answer: -n**3 + 2*n**2 - 17*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -o + 277, 5*l + 176 = -3*o + 1571. Is l a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -269*c - 8*c**3 + 2*c**2 + 803*c - 272*c + 2 - 273*c in the form f*c**3 + l + s*c**2 + m*c and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 611146449839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - 0.01. Let m = p - 0.03. Let f = -0.02 + m. Is 0.05 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2458, -2961, -3452, -3925, -4374, -4793, -5176, -5517?\nAnswer: -5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6)*(15 - -3). Let j = -2045 + 1267. Let c be j\/(-5) + 4\/10. What is the highest common factor of o and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 175 + 33 + 86 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -1 - (-2)\/6*-6. Let c(x) = -x - 1. Let p(z) = 29*z**2 + 43*z - 2. Let k(f) = v*p(f) + 4*c(f). What is the second derivative of k(m) wrt m?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 4*r - 15, -66 = -2*u + r - 67 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 3*sqrt(102)*-5 - sqrt(102))*4)\/((sqrt(6) - (sqrt(6)*1 - sqrt(6)))*-4 + sqrt(48)\/sqrt(72)).\nAnswer: -180*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27260.\nAnswer: 2, 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 128 = -3*s. What is the second derivative of -56 - 31*f**2 - 66 + 62*f**s - f**4 + f wrt f?\nAnswer: -12*f**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405118, 810239, 1215358, 1620475?\nAnswer: 2025590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 206 - 218 = a, -2*b + b - 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7 - 3. What are the prime factors of (-4)\/36*-367 - v\/(-9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*o**2 - 41*o**5 - 94*o**2 + 197*o**2 wrt o.\nAnswer: -2460*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzxxeezexbb. What is prob of sequence zb?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/1080)\/(640\/(-4096)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (3 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*i + 92*i + 97*i = 10549. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -27*a - 188*r + 207*r, 5*r = 3*a - 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1499488049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -18 + 43 + -3 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from oqavloowowaw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 20*l - 29. Let a(r) = 1 - 3 - 3 + 4. Let u(p) = 5*a(p) - b(p). Factor u(m).\nAnswer: -4*(m - 6)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/((o*o**(-2\/11)*o)\/o*o*o))\/o)**(-3))**(-7\/5))**(-27) assuming o is positive.\nAnswer: o**(17577\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/12 + 8*v**2. Factor a(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 + 3*o - o**2 + 5\/6*o**3. What is c(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -25 - 23. Suppose 3*b = -3*j - 9, j + 2*b + o = 4*j. Suppose j*n + 3*n = 5*z + 30, 12 = -n - 5*z. Solve 8 = n*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 12. Solve -2*b = h*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, -920, -2496, -4710, -7568, -11076, -15240, -20066?\n\"Answer: -r**3 - 310*r**2 - 7*r + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/5, 0.043 in ascending order.\nAnswer: -4\/5, 0.043, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**6\/40 - i**5\/20 + i**2\/2 - 1. Let z(h) be the second derivative of u(h). What is the third derivative of z(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 10*q**2 + 2*q + 22. Let o be l(-10). List the prime factors of (-140)\/(-4) - (o + 0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 9*r**2 - 2*r + r**2 + 1. Let a be d(1). Suppose 4*n = 4 + 8, -a = 4*o - 5*n. What is the lowest common multiple of 5 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19*182\/266)\/(1\/(-1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 11 + 3)*(1 - b**2 - 1)*(-3*b**2 + b**2 + b**2) to the form l + i*b**2 + j*b + o*b**4 + a*b**3 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 447 + -404. Let z(h) = 74 - b + h - 36. Give z(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - 2*v)*(-v**2 + 0*v**2 + 2*v**2 + 3*v**2 + 5 - 5 + (0*v - 3*v + 2*v)*(v - 3*v + v) - 2*v**2 + 6*v**2 - 2*v**2).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)*u\/(u\/(u**(-7\/5)*u*u)))\/(u**(2\/7))**(-5\/3) assuming u is positive.\nAnswer: u**(127\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -44. Suppose 60*t - l*t + 48 = 0. What is the units digit of t\/(-3)*(-2106)\/52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126361266*r**3 + 58406475*r**2?\nAnswer: 758167596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or 35\/353?\nAnswer: 35\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 2*o**4 + 247*o - 464*o**3 + 47 + 466*o**3 as t*o + f*o**4 + x*o**2 + g + c*o**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34608, 69214, 103820, 138426?\nAnswer: 173032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100000110000011100011?\nAnswer: -100000110000011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*u - u = -2, u = -5*q + 21. Suppose 0 = -2*n - 4*y - 20, -q*n - 5*y - 16 = 21. List the prime factors of ((-7360)\/12)\/n - 1\/(-3).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 354*g + 60200. What is y(-170)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 1)\/(-6 - (-58)\/9). Let k(r) = -8*r + 77. Let o be k(f). Solve 10*a = 9*a + o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 27*b - 3. Let i be n(-1). Is 12\/i + (-22534)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 2438.\nAnswer: 3\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7))**3\/((t**21\/t)\/t**(-37\/3)) assuming t is positive.\nAnswer: t**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*o - 80 = 140*o + 12*c, 0 = -3*o - c - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.903 + 0.013. Let u = s + 7.89. Which is smaller: -281 or u?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - i + i)*(4 + 17 - 8).\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 116*k + 28. Let o(d) = -63*d - 13. Let s(a) = -6*i(a) - 11*o(a). Calculate s(17).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -162. Let q(v) = -v**3 - 40*v**2 + 3*v + 126. Let l(p) = p**2 + 27*p - 40. Let h be l(-27). Calculate the remainder when c is divided by q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 130 + 42. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 - 174234*s + 174231 = 0.\nAnswer: 1, 58077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 3*k**5 + 0*k**3 - 16 + 0*k**4 + 0*k + 9\/2*k**2. Find the second derivative of b(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - 58\/(-18). Let o(h) = h**3 - 2*h**2 - 3*h - 2. Let a be o(b). Let w(g) be the second derivative of -2*g**3\/3 - 3*g**2\/2 - 5341*g. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*w + 331*w = 2*g + 19, 0 = 5*g + w - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1 + sqrt(1700) + 2)*-1 + 0))**2.\nAnswer: 20*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 + 25*q**3 - 32*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 4833.\nAnswer: -4833.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -3*z + 5*c, 2*c + 116 = -4*z - 0*z. Calculate the common denominator of -2*1\/(22\/(-39)) and (0 - (-120)\/z) + 21\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgnntbknhbb. What is prob of picking 2 t and 2 b?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -5*a - 5*i, -2*a - 15 = 42*i - 43*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 + -5)) + (-10 - (12 - 23))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 9, -8 in descending order.\nAnswer: 9, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -3*p**4\/2 - 109*p**3\/3 + 92. What is the third derivative of f(z) wrt z?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*m - 40 - 8 = 0, -5*g - 4*m = 80. Let p(s) = 4*s + 66. Let x be p(g). What is the nearest to 4 in -2\/15, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/6 - i**3\/6 - 2*i**2. What is the tens digit of g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16)*2\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 22*l**2 + 21*l**3 + 0*l + 2*l - 13*l**3 + 3*l**4 - 12*l**3 as u*l**3 + d + z*l**2 + b*l + t*l**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245 - -343211?\nAnswer: 343500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 91*d**2 - 316*d + 637. Calculate the smallest common multiple of z(2) and 34.\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, a: 8, d: 2, r: 6}. Give prob of picking 1 l, 2 a, and 1 d.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 877.4 + -877.3. Let s = 13 + -8. Which is the closest to m? (a) 0.1 (b) -38 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -68*g - 252, 2744*g - 2742*g - 3*a + 1 = -22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + 2 + sqrt(605))*6)**2.\nAnswer: 3168*sqrt(5) + 87264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a226 + 1556?\nAnswer: -8ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*y + 1120 - 11695 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5134 + 8977. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 284*r**7\/21 + 84*r**4 + 1363*r + 2. What is the third derivative of k(b) wrt b?\nAnswer: 34080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*h = 26, 1648*z - 87 = 1652*z - h for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 4*i**3 - 9 - 10 - 7*i - 5*i**3 + 2*i**2 to the form n*i**3 + s*i**2 + t + r*i and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x + 9. Let u be r(3). Factor 2\/7 + 12\/7*v**2 + 2\/7*v**4 + 8\/7*v + 8\/7*v**u.\nAnswer: 2*(v + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {m: 1, t: 1, k: 3, n: 1, f: 6, a: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*a + 2 - 36, -4*k - 2*a = -92. Let v = 24 - k. Suppose 0 = -5*u - 25, -v*m - u + 95 = m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/31 (b) 2279.4 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -3289*d**6\/6 - 241*d**2\/2 + d + 1470. Find the second derivative of r(y) wrt y.\nAnswer: -65780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 1, k: 3}. Give prob of sequence nkr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*w - 173, -4*w + w - 3*o = -126. Let t = w + -39. Solve -6*n + n = 3*j, -4*n + 32 = -t*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p*w**3 - 32*p*w**2 + 72503*p*w + 22*w**3 - 5*w**2 + w wrt w.\nAnswer: 12*p*w - 64*p + 132*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 7064127?\nAnswer: 7064127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5838, -0.4, 5.\nAnswer: -0.4, 0.5838, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55786 and 535.\nAnswer: -29845510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*u**2 - 395*u**2 + 5*u + 1225*u**2 - 450*u**2.\nAnswer: -7*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8899503?\nAnswer: -1\/2966501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 - 2*q**3 - 2*q**3 + 2*q + 10*q**3 + 5*q**2 in the form h + v*q**3 + l*q**2 + o*q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -715, 4, 2\/3.\nAnswer: -715, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 42 = 12. What is the remainder when 88 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8749 and 8346546.\nAnswer: 8346546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2 + (-1 + 2 - 2)*(1 - 2 + 2))*(4*c - 2*c - 167 + 182).\nAnswer: 2*c + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/6 + 3*c**3\/2 - 5*c**2\/2 - 3*c + 6. Determine n(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glp when three letters picked without replacement from {g: 1, y: 1, h: 2, c: 1, p: 5, l: 3}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 37167704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 9 = 2*a, 0 = -5*o + 4*a + 22. Solve 0*t + o*t = 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/25)*r*r**(-3\/11)*r**15\/(r\/r**(-2\/5)) assuming r is positive.\nAnswer: r**(3962\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13425 - -13422. Sort -4, 4, -8, f in decreasing order.\nAnswer: 4, f, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 6*t**2 + t - 7. Let c be h(5). What is the remainder when 1*(c + -2 + 0) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150491 + 605969\/4. Let h = 1009 - y. Find the common denominator of h and 63\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let w be 1*3\/1 + 1. Suppose -6*d + 4*d - 30 = -4*t, 2*t - w*d = 30. Solve -p = a, -t*v - 3*p + 6*p = -34 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 60 - 27 - f - 3 to d + y*f and give d.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13712, 54758, 123168, 218942, 342080?\nAnswer: 492582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (-2 + sqrt(500))) + 5 + -4)**2 + -1*(4 + -3*sqrt(245)).\nAnswer: 5 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -406*c**2 - 1220*c + 1220*c - 181*c**2 to the form x + r*c + n*c**2 and give n.\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o + 1010. Let h be v(73). Calculate the highest common factor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 7*u + 3*u)*(0*u**2 + 3*u**2 - u**2)*(3*u + u - 3*u).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.3, -0.071?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 14. Let w = a - 22. Solve 0 = 5*d - w*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-498)\/108 + 2 + (5 - -2)*(-19)\/(-38).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**3 + u**2 - u**2)*((1 - 2 + 5)*(2*u + 6*u - 4*u) + 2 - 2 - 3*u + 0*u - 3*u + 4*u) in the form h*u**2 + q*u**3 + n + p*u + x*u**4 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:52 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 1, k: 2, c: 1, v: 1, h: 1}. Give prob of sequence vikh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + z - 22 = -z, -4*h + 18 = 2*z. Let w(g) = -704*g**3 + 2*g**2 + 7*g - 4. Let n be w(h). What is n rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/10 and 85\/567?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2799 and 4665.\nAnswer: 13995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17212, -34411, -51604, -68791?\n\"Answer: 3*w**2 - 17208*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/(-3))\/((-5)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -2, -4, -0.1, 0.009?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90041526.\nAnswer: 2, 3, 163, 30689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5. Let t = 12 - 10. Let x be t\/3 + 80\/(-12). Let k(g) = -g**2 - 6. Let y(i) = -10*i**2 - 90*i - 5. Let a be y(-9). What is a*k(l) + x*j(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(1 - (5840\/(-1513) - -5)). Let r = -2\/89 - v. Which is the nearest to 1? (a) r (b) 14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q + 0*q - q - 5*q**2)*(0*q**2 + 0*q**2 - q**2) as w*q + r*q**4 + y + b*q**2 + l*q**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*h**3 - 6*h**2 + 29*h**3 - 20*h - 1 + 10*h as c*h**2 + n*h + l + d*h**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56 (b) -0.03 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35254 + 70266 - 35012 + 8*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28153 and 20180.\nAnswer: 5681.2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*y**2 - 65*y**2 - 65*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:14 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014 at least 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**4 - 3*p**2 - 4 + 11*p**2 - 10*p**2 in the form v*p**2 + s*p**3 + x*p + z + j*p**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 4 - (-5)\/(-2). Let s be 0 + 1 + (-30)\/26. Which is the biggest value? (a) s (b) t (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**5\/60 - 5*b**4\/8 - 5*b**3\/3 + 7*b**2. Let w be o(-14). Let j be w + 3 + -4*1. Is j smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71897.\nAnswer: 7, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 2*f + 5 + (-2 + 0 + 4)*(-4*f + 4*f - 2*f) - f + 0*f + 2*f - 3 - 2*f + 3 - 1 + 13*f + 10*f - 11*f.\nAnswer: 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b + 829. Let i be g(-43). Calculate the highest common factor of i and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 + 3*w**2 - 6*w - 5. Let s(b) = -2*b**3 - 3*b**2 + 5*b + 4. Let a = 10 - 15. Let x(q) = a*s(q) - 4*i(q). Determine x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4723 - -4728. Let j(d) be the first derivative of 3*d**4 - 2*d**5 - 7*d**2 + t + 1\/3*d**6 + 4\/3*d**3 + 6*d. Let j(x) = 0. What is x?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 + 4)\/(72\/148) and -145\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 77. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*m**4 - 37*m**4 - 31*m**4)*(-72 + 40 + 5).\nAnswer: 3591*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 235 = -5*a + 1411, -n + a + 1152 = 0. Let x = 2133 - n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 1742, 2543, 3280, 3941?\nAnswer: 4514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1493168472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**5 + 5065*o**4 - 1371770*o**3 + 44534200*o**2 - 116026880*o - 161937920 = 0.\nAnswer: -1, 4, 34, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = 5*b, 0 = -3*b - 0*b + m - 6. What is the remainder when (-190)\/(-4) + (-4)\/8 is divided by (-34)\/(-2) + 1 + b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 8 - (69 - 88).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -129, -211, -303, -405, -517?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/(-36) + (-5)\/(-20) + -2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-10)\/(-1416)) + 1. Suppose -2*o + 2*l = -294, 3*o - 449 = -10*l + 15*l. Let h = o - b. Are 0.1 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b = -2. Suppose 10*v - 15 + 55 = 0. What is the remainder when ((-1)\/v)\/((-8)\/(-64)) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 870 and 15080.\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 842.92 and 3.\nAnswer: 2528.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v - 106*v = -52*v + 300, 5*o - 60 = -v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-12*c**3 + 7*c**2 - 7*c**2 + (-c + c - c)*(2*c**2 - 3*c**2 + 2*c**2) + 0*c**3 + 0*c**3 - 2*c**3 - c**3 - c**3 - c**3).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*q + 27*q + 36. Let y = -97\/11 + q. Let p = 0.3 + -1.3. What is the nearest to p in -2, y, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18*t + 25*t - t**2 + 3*t**2 + 234 - 49*t. Let z be m(10). Let u = -33 - -47. What is the highest common factor of u and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 454, 984, 1728, 2692, 3882, 5304?\nAnswer: 6964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v**2 - 107*v**2 - 97*v**2 + 284*v**2.\nAnswer: -23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 + 72*f**2\/7 - 120*f + 448.\nAnswer: -2*(f - 14)**2*(f - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 = 5*m + t, 4*m - 1891*t = -1896*t - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 8*g - 6. Let l be u(-6). Calculate the remainder when (12\/(-10))\/(l\/(-105)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 1246 = 1266, -14 - 14 = 4*x - 2*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 16 = 3*f. What is the common denominator of (-90)\/(-16)*(-4)\/(-24)*-10 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hax when three letters picked without replacement from {a: 4, h: 2, p: 1, f: 7, u: 1, x: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/315)\/((-36)\/(-45)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/7 (c) -5 (d) 9 (e) -0.3 (f) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {i: 6, z: 13}.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109246 or 109336?\nAnswer: 109336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70412, 70434, 70456?\nAnswer: 70478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 3\/8*v**4 - 1\/20*v**5 + 0 + 0*v - 13*v**2 + 2*v**3. Factor d(l).\nAnswer: -3*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 - 23*z + 25. Let x be m(-8). Solve 4*y - 4 = 0, 4*y = -4*l - x + 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-6) - 1\/6. Suppose 3*f - 5*b - 68 = i, 3*f - 4*b = 2*f + 25. Is 21 not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(15)\/(sqrt(125) - sqrt(5)) + -1*sqrt(363).\nAnswer: -39*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3786 times -0.063\nAnswer: -238.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l + 4*l + 3*l + (0 + 0 - 2)*(5*l - 3*l + l) + 0*l + 9*l - 5*l + 2*l + 2*l - 6*l + 0 + 2*l + 0 + (0 + 0 - 2)*(-4*l + 4*l + 2*l) + 2*l + 2*l - 2*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - f + 8*f + f**3 - 5 - 2*f**2. Let s be w(4). Let p = 12 - s. What is the biggest value in 1, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -39. Put k, -2, 7, 0 in increasing order.\nAnswer: -2, 0, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 64 - 4)*(0*w**3 - 16*w**3 + 6*w**3).\nAnswer: -1320*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7112 - 0.7072216. Round b to five dps.\nAnswer: 0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/2 + 383*m + 765\/2 = 0. What is m?\nAnswer: -765, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 1. Let t be w(-1). Suppose 5*c = t*c + 105. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 5 + 0*o**2 + 1 - 3*o**2 + 5. Let d(g) = -5*g**2 - 4*g + 17. Let m(q) = 5*d(q) - 8*x(q). Let v be m(3). Solve v = k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -131*d + 27. Calculate p(1).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 423*a**2 + 19881*a - 311469.\nAnswer: 3*(a - 47)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {k: 1, b: 2, z: 7}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5344 + 5384. What is the least common multiple of m and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -668, -1003, -1374, -1781?\nAnswer: -2224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 2470, 5790, 10438, 16414, 23718, 32350?\nAnswer: 42310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -141, -216, -307, -420, -561, -736?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 244?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 3, -2\/9, -29?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = f - 0*f + 3*l, 3*f = 4*l - 6. Let y be f*-1 + 2 - (-1254)\/38. Solve 18 = -3*k + y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-32)\/6315) - 84\/(-224). Which is smaller: d or -790?\nAnswer: -790","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (2 - 0\/2). Let p = t + 4. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swl when three letters picked without replacement from wsswnwl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006353 rounded to four decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39764, -79498, -119234, -158972, -198712, -238454, -278198?\nAnswer: -317944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*2\/(-6) - -5. Suppose 26 - 1 = -b*d. Suppose 28 = -2*g + 3*x + 2*x, 3*g - 2*x = -20. Is g at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 55. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347256 divided by -3.\nAnswer: -115752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5 + 0 - (-323)\/(-85)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0)*(0 + 4). Find the third derivative of 4*g**4 + 3*g**2 - 3*g**h - 3*g**6 - g**4 wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 5, -3 in ascending order.\nAnswer: -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*n + 39, 0*r = r + 3*n - 13. Let k(v) = -v**3 + 15*v**2 - 22*v - 12. Is 4 a factor of k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 = 36. What is the lowest common multiple of j and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2092357\/6 - 351093. Let p = 2373 + b. Calculate the common denominator of p and 73\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168 + 785 + 741*z - 183 wrt z.\nAnswer: 741","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9107036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (31 - 1) - (1 - 6) - 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 - 45*f**4 + 180*f**3 = 0.\nAnswer: -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14147*b**2 - 5 + 14074*b**2 - b + 5 to the form n*b**2 + s*b + g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-2 - (20 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -51?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8*w - 3*w. Is -3 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -7*(-4)\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3640480 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*v + 4*v - 14*v + 14*v)*(2*v - 2*v + 2*v).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110207405+0.05\nAnswer: 110207405.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000557 to five dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 146*g + 142*g + 55 = 0, -5*x - 15 = 2*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 - 1. Let r(u) = -38*u**2 + 2*u - 9. Let d(m) = r(m) - 6*w(m). Give d(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 3*w - 4 + 2*w - 5*w**2 - 2. Let r(z) = 5*z**2 + z + 5. Calculate 4*j(c) + 5*r(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*t = 2*m - 300, t = -2*m + 188. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69717624?\nAnswer: 2, 3, 29, 100169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -60*((-8)\/2)\/(-2). Let q = -89 - t. Suppose 0 = -w + q - 10. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 1. Let y(f) = -379789*f + 379786*f - 8 + 7. Suppose -2*i = g + 3*i - 17, 4*i + 6 = 2*g. Let n be 11\/2 - 2\/(-4). What is g*s(d) + n*y(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.047 (b) 1\/4 (c) -1 (d) -7 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 - 3. Let t(m) = -m**2 + 1. Calculate 3*t(x) + u(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 - 2*x - 4. Let f = -125 + 155. Calculate the remainder when u(-6) is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-2)\/(6\/3). Let h = 2 + k. Suppose -2*j - 9 + 21 = h. What is the highest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 15. Let i = 17 - d. Solve -b - i = -0*r + 3*r, -r + 1 = 3*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*b - 3)*((b**2 - b**2 - 3*b**2)*(b**2 + 4*b**2 - 4*b**2) - 2*b**3 - 3*b**4 + 2*b**3).\nAnswer: -36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8862139 plus 0.09168?\nAnswer: 1.9778939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21.5. Put 2\/15, r, 1\/4 in descending order.\nAnswer: r, 1\/4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 317*t - 3. Let c(g) = -2*g**2. Calculate l(c(j)).\nAnswer: -634*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -96 + 17 + 36.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130040533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -92. Let j(g) = 3*g**3 - 3*g**2 - 3*g. Let t(y) = 5*y - 124*y**3 + 5*y**2 + 245*y**3 - 128*y**3. What is m*t(r) + 5*j(r)?\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.524 + 20.4. Are y and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/32)\/((-11)\/((-220)\/(-10))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-68)*(-1394)\/123.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1076\/3 + 9623\/27. Let a(b) = 9*b**2 - 162*b + 11. Let h be a(18). What is the common denominator of m and -8*10\/(-60) + h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1 (c) -0.3 (d) -2\/183 (e) 0.11 (f) -2 (g) -453\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 14 = 5*f - o, -2*o - 2 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1)\/((-1)\/84). Suppose -3*d = -5*v + 2*d - 345, 0 = v + 4*d + b. Let h = -48 - v. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h + 4. What is the units digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6755704 (base 8) to base 13\nAnswer: 4bc01c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yky when three letters picked without replacement from kkykykmkrryykekkrrk?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.216 - 10.784. Let x = 15 + q. Which is the third biggest value? (a) 0.5 (b) x (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-217)\/(-124) + -3 + 1. Put 176, -1, t in ascending order.\nAnswer: -1, t, 176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3137811933 to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -208?\nAnswer: 55\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/453 + 89\/755. Let o = -0.13 - 3.87. Suppose -2*t = -4*t + 54. What is the smallest value in o, t, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 111. What are the prime factors of a + 3 + -6 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**3 + 1 - 1)*(-418 + 295 + 663) + (-3*c - 4*c + 5*c)*(c**2 - 5*c**2 + 3*c**2) as b*c**2 + s*c**3 + x*c + t and give s.\nAnswer: -2158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 418, 647, 888, 1141, 1406?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:45 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 471 and 35.\nAnswer: 16485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by -53?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.94 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j + 1. Let p be (1 + -4)*(-1)\/3. Let x be o(p). Solve -5*i - 9 = 2*m, i - 3*m - 2*m = x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h**3*z**3 - 191*h**3 - 45*z**3 + 76*z**2 - 2*z wrt h.\nAnswer: 21*h**2*z**3 - 573*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 4*x. Suppose -x*s = c - 18, -3*c + 11 = -c + s. Sort c, 5, 1 in descending order.\nAnswer: 5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786344 is divided by 786314.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*g - 784*g - 280 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r + 3*r = 14*r - 448 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 454*s**3 + 3978*s**2 - 11826*s + 11772.\nAnswer: 2*(s - 218)*(s - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 2*d + 2. Let i = -130 - -129. Let y(b) = -b**2 - b - 1. Let q(s) = i*a(s) - 2*y(s). Let o(j) = -2*j - 21. Give q(o(l)).\nAnswer: 4*l**2 + 84*l + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 1. Let f(t) = -3*t - 24. Let o(q) = -q - 10. Let g(p) = -5*f(p) + 12*o(p). Calculate 4*g(j) + 5*n(j).\nAnswer: 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*11\/(165\/10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20*w = -15*w - 1, w - 3 = 0. What is the third derivative of -4*x**4 + 107*x**2 + k*x**4 + 113*x**2 - 202*x**6 - 3*x**4 wrt x?\nAnswer: -24240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0238 - -0.4872. Let q = -0.081 + b. Let t = 0.42938 - q. What is t rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 11600*h\/3 + 174050\/9.\nAnswer: -2*(h - 17405)*(h + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/5442188 and 62\/297959793?\nAnswer: 1191839172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - m)*(2*m - 1 + 1)*(-4 + 1 + 15).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l. Let a be 8 + (-8)\/(-1 - -3) - 2. Let x(f) be the first derivative of 4 + 0*f - 5\/2*f**a. Determine 5*x(c) + 4*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5 = 2*c - 2*c, -26*w - 198 = -2*c - 3*c + 152*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 0*j**3 + j**3)*(0 + 1 + 0).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007272861 rounded to 6 decimal places?\nAnswer: -0.000727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117572 and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmm when three letters picked without replacement from {i: 2, m: 13, c: 3, t: 1}?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -228.4494724?\nAnswer: -229.4494724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*3*(sqrt(153) - sqrt(153)*-2 - sqrt(153)))\/((1*sqrt(7776))\/(sqrt(6) + 1*sqrt(24)\/sqrt(4) + sqrt(6))).\nAnswer: 75*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/15 - 1406*k**3\/15 - 51298*k**2\/5 - 303578*k\/15 - 151088\/15 = 0.\nAnswer: -568, -133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -13. Let r(l) = 5*l - 8. Let t(w) = -w**2 + 6*w + 3. What is the remainder when r(j) is divided by t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 25*w**2 + 40*w + 60.\nAnswer: -5*(w - 2)*(w + 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291104853 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13\/7, -0.232, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 887 + 3053. Is b a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684049*s + 3735540*s + 65672*s.\nAnswer: 3117163*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 2*l**3 - 2*l**2 - 53*l + 51*l - 20 to u*l + s*l**2 + g + j*l**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -45b1d (base 14) in base 4?\nAnswer: -221121133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*n**3 - 11*n**2 - 156*n**3 + 161*n**3 + 11*n**2.\nAnswer: 359*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-11))\/((-2)\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, f: 1, u: 2, w: 4}. Give prob of picking 1 k, 1 u, and 2 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 5.\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12172374 and 59429826.\nAnswer: 1010307042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h + 5 = -5*r, 30 = -2*r + 4*h. Let a(v) = -v**3 - 18*v**2 - 60*v - 10. Let g be a(-4). Sort g, 4, r in decreasing order.\nAnswer: g, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*b - 4284 = 1190*b for b.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001699 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/607? (a) -4 (b) 1\/18 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-10 + (-3 - (-4 - (-13 - -10)))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 681 = -2*t - k, 3*t + k = -44 - 978. Let v = t - -604. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 + 6*i**2 + 9*i + 5. Let d(t) = -t**3 + 3*t**2 + 5*t + 3. Calculate -5*d(l) + 3*r(l).\nAnswer: -4*l**3 + 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1689b + -19?\nAnswer: 16882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148918?\nAnswer: 2, 7, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170510?\nAnswer: 2, 3, 5, 11, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1010375*x**2 + 2555749*x wrt x?\nAnswer: 2020750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1446, -11674, -39434, -93492, -182614, -315566, -501114, -748024?\nAnswer: -1065062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.928 + -0.362. What is d rounded to one decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n, k = -2*k + 2*n + 45. Is k less than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 140*t + 181*t.\nAnswer: 307*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199691\/20 + -9982. Let x = 281\/21 - 1999\/84. Calculate the common denominator of x and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-48)*((-1122)\/(-2035))\/51*-10*2.\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1.06412943\nAnswer: 2.12825886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.062 and -7.6.\nAnswer: -0.4712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -36. Let g = 55 - 19. What is the lowest common multiple of p and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 5314852 + 2*b - 10659669 + 5344817.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 20 = 4*a, 21*g - 48*a = -55*a - 175 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 731.8151 millimeters in micrometers?\nAnswer: 731815.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcuu when four letters picked without replacement from dudc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 127 = -2*w, -3*l - l = -4. Suppose p = 118 - 10. Let y = p - w. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -230 + 203. Let l = 37633.7431989 - 37660.7432. Let j = l - h. Round j to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118.3 + 124. Let m = 5 - t. Let f = -0.3 + m. What is the nearest to f in -0.2, -1\/10, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/8 + 193*v**2 + 4*v. Let i(b) = -441*b + 5. Calculate x(i(a)).\nAnswer: -1323*a + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.6 and 0.0686?\nAnswer: 4.6686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 89?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1626378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c - 37*c + 80*c + 7*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358.544086 rounded to one decimal place?\nAnswer: -2358.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7874, -16275, -25216, -34697?\nAnswer: -44718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 7*v**5\/15 + 10*v**2. Let a(l) = 2*l. What is a(g(q))?\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c - 3*y - 41, -4*c + 156 = -4*y. Let u = c + -41. Let v(z) = -z - 5. Calculate v(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*c**3 - 22*c**3 + 2125*c**3.\nAnswer: 2471*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -40.012. Let b = d + 0.04. Round b to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 7*u + 2. Solve 20 = a - u*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -86. Let t = 2372 + -2372. What are the prime factors of (t + 1)\/((-1)\/w)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2590000 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(-287*t + 287*t + 2*t**4 + 4*t**2).\nAnswer: 6*t**4 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12858, 12842, 12810, 12756, 12674, 12558, 12402, 12200?\nAnswer: 11946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35920775 is divided by 11973587.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700688339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 10, 511, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 2}. What is prob of sequence cddc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 1 in descending order.\nAnswer: 7, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**42*(x**(1\/7))**4 assuming x is positive.\nAnswer: x**(151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.324 and 7.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16246 - 16168. Solve -82*b + g*b = -3*z + 10, 2*b - 5*z + 12 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2242, 1 in increasing order.\nAnswer: -2242, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3104867 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -101582, -406303, -914172, -1625189, -2539354, -3656667?\n\"Answer: -101574*h**2 + h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-102)\/9*-3 - 3. Suppose -c = -4*q + y - 0*y, -q - 5*y = -13. Suppose -13*k = -q*k - 5. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = 4*g - f - 873, 0 = 4*g - 2*f - 624. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-34))\/((-24)\/1008)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 4*r**2 - 30*r - 57. Determine d(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.206 - -1046946397303.\nAnswer: 1046946397303.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-164) + ((-84816)\/(-738))\/(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1547*o**3*r**3 - 3*o**3*r + 13*o**3 - 4*o**2*r**3 + 138*o**2*r**2 wrt r.\nAnswer: -9282*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6 times -0.15?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-8) + -4)*4\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 12 + 4*z**2 - 5*z**2 - 15*z. What are the prime factors of t(-16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 6*q**2 + q**2 - 5*q**3 + 6*q**3 + 0 + 10. Let i be h(-4). What is the highest common divisor of 368 and i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2) + ((-630)\/162 - -7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 8*n**2 - 6*n - 2. Let l be o(7). Sort -5, -2, l in ascending order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f - 48. Let c be r(-17). Let j = -160 - c. Calculate the remainder when 94 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-340)\/(-36) + -9)\/((-2)\/(-27)). Solve -d*c - 41 = -23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*2)\/sqrt(2)*-5)\/(-3*6*sqrt(18)).\nAnswer: 5*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7881364 is divided by 2627117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -692 + 2771\/4. Let d(z) be the first derivative of 18 - 3\/4*z**3 + 0*z - 3\/16*z**4 - s*z**2. What is n in d(n) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -5\/24*z**4 - z**3 - 1 + 0*z + 1\/60*z**5 - 90*z**2. Determine u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - a**2 + 2. Let x(q) = -2300*q**3 + 828*q**2 - 1656. What is 1656*h(k) + 2*x(k)?\nAnswer: -1288*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*t - t - 23 - 10 + 57, -3*t - 7 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/6 and (25 - 22)\/((-18)\/(-152)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500167\/22 - 22739. Calculate the common denominator of j and -7\/94.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -3. Let m(b) = -b**2 + 2*b + 1. Give m(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15498 + 15497. Let l(s) = -1. Let z(u) = 7*u - 3. Give k*z(x) + 2*l(x).\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12086 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: What is prob of sequence hg when two letters picked without replacement from ewhhhwwhghweghhhhhm?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*l + 16870, u - 2*l - 13502 = -3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163296 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9630 is divided by 73.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 52. Let j be a(19). Is -1643*((-2)\/(-4))\/(j\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 2*u**4 + u**4)*(3*u - 15 - u - 4*u).\nAnswer: -4*u**5 - 30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2\/11, 24, -5, 0.11, 0.26 in ascending order.\nAnswer: -5, -4\/7, 0.11, 2\/11, 0.26, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*s - 8 = 0, -4*k + 5*s - 18 = 2. Suppose 4*d + 23 = l, 2*l + 3*d + 9 = -k*l. What is the remainder when 17 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from jjs?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-136)*13\/((-1365)\/(-420))\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 + -13)\/((-2)\/4). Suppose -c - 2*t = 120, v*c - 2*t - t + 240 = 0. Let o = c - -184. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 20 = 2*c, 4*c - 21 = 5*g + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 2. Let r(y) = -8*y + 7. Let d(l) = -2*r(l) - 7*s(l). Let h be d(-9). What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + sqrt(171) + 4 - sqrt(171)) + 5 - (sqrt(171) + (sqrt(171) + -2)*-6 + 5)).\nAnswer: -2 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 214?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 2. Let h be x(-2). What is the third derivative of -105*n**h + 12*n**3 - 2*n**6 + 8*n**2 - 2*n**5 + 2*n**5 wrt n?\nAnswer: -240*n**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -k + 36. What is the greatest common divisor of k and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4, 4*x - 22 = 2*w - 0*w. Let s = 20 + w. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -41*x - 304. What is u(-15)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 + -218. Calculate the remainder when 681 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 193048, 391531, 590014, 788497, 986980, 1185463?\n\"Answer: 198483*t - 5435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 215100329 to the power of 1\/2, to the nearest integer?\nAnswer: 14666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*c - 14*c - 903 + 31*c - 59 as t + s*c and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2890539113 + -2890539373.99999815. Let t = -261 - w. Round t to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6317835878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Let p(y) = -4*y**2 - 8*y**2 + l*y**2. Let g(j) be the second derivative of -j**3\/6 + 21*j. Give p(g(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1715487 at least as big as -1715487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 354.3 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 251 (b) -1\/4 (c) -2\/5 (d) -0.2 (e) -6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1*(-54 - 3). Suppose a - m = -3*h, -a = -h - h - 40. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -118\nAnswer: -247.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -584 - -820. Is j a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 9) to base 4\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 12*m - 11. Let p be v(-13). Let r(k) = 1 + 1 + 0*k**2 + k**p - 2*k. Suppose -5*a - 1 = -11. Let u(f) = f**2 - f + 1. Determine a*u(y) - r(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86561 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - c)*(-2*c**3 + c**3 - 3*c**3) - 102568 - 618*c**2 - c**4 + 102568 + c**3.\nAnswer: 3*c**4 + c**3 - 618*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 2 - 2\/3*l**3 + 0*l + l**4 + 0*l**2. What is the third derivative of p(a) wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4455 - -0.2545. Which is the second smallest value? (a) d (b) -4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.68 + -1.32. Let o = c + 38.72. Let d = 0.32 - o. What is the second biggest value in 3, -2\/7, d, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152 - -170. Let z = -37 + 56. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4\/9 - 172*b**3 + 7752*b**2 - 108672*b + 494208 = 0.\nAnswer: -429, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*3 + 50\/5 + -5. Solve 2*b + s = -6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*x - 314*x - 11400 = -23*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 101? (a) -0.3 (b) 2\/49 (c) -3 (d) 1\/7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354912963*x**2 + 114855821*x.\nAnswer: 709825926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**3 + 52*s + 44*s - 50*s**2 + 82*s**2 - 52*s**2 = 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4\/5, -2, -4 in ascending order.\nAnswer: -4, -2, -0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*q - 41*q - 15 - 39*q as f*q + l and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1178, 4546, 10094, 17822, 27730, 39818?\n\"Answer: 1090*v**2 + 98*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*s = 49695, -39720 = -4*h + 6*s - s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11904 divided by 2?\nAnswer: 5952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25664599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1898060.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9aa (base 11) to base 6\nAnswer: -5333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Let a(v) = v**2 - 3*v - 6. Let w be a(z). Suppose 5*h - o = 2*o + 4, 2*h + 4*o + 14 = 0. Sort h, w, 3 in descending order.\nAnswer: w, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let l(h) be the first derivative of 291*h**3 + 116. What is g(l(u))?\nAnswer: 873*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azkaalazlaakzlzzo. What is prob of picking 1 l, 1 k, and 1 o?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4893 divided by 1631\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3*4\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6 and -9\/8452?\nAnswer: 25356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 9*f**7\/98 + 3*f**6\/70 - f**5\/20 - f**4\/28 - f**2. Factor z(l).\nAnswer: 3*l*(3*l + 1)**2*(5*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - b + 2*b)*(219 - 107 - 126 + 1 + 3 - 7 + (-2 - 1 + 1)*(0 + 1 - 2)) as d + s*b and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17543, -35079, -52615, -70151, -87687?\nAnswer: -105223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112.48 + 111.98. What is the nearest to -436 in 0.1, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - j = -3, -4*k + j = k + 3. Let g be k - (-5 - 6\/(-3)). Solve -2 = g*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g - 250 = -58. Put g, -2, -10, 4 in descending order.\nAnswer: g, 4, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4920353\/24810 - 53\/2481. Let v = -207 + c. What is the common denominator of 10\/35 - 16207\/1330 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*l*r**3 - 62*l*r**2 + r**4 wrt r?\nAnswer: -318*l + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3 - 3)*(18*h**2 - 12*h**2 + 6*h**2)*(h - 6*h + 2*h).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggrr when four letters picked without replacement from {g: 2, r: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 3*r + 15. Let g be i(8). Let m = 39 + g. Solve -2*o = 5*y - 4, 4*y = 4*o + 3*y + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**5\/20 + v**4\/4 - 2*v**3\/3 - 3*v**2. Let n(p) = p**2 - p + 1. Determine k(o) + 6*n(o).\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387 + -198. What is the highest common factor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2 = 5*y, -4*f = y - 18. Suppose -f*j + 623 = -337. Does 50 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/2)*j**(-4\/7))\/(j**(-1\/3))**(4\/41))\/(j**(-1)*j**(-2\/5)*(j*j**4*j*j)\/((j*j**(-2\/11))\/j)) assuming j is positive.\nAnswer: j**(-456571\/94710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 19 + 5 + 1 + -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/18 and 62\/1043163.\nAnswer: 2086326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -162642 * 10.3\nAnswer: -1675212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2892 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nssn when four letters picked without replacement from sssssssnssnssn.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57550, -57544, -57536, -57526?\nAnswer: -57514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.834756 decades?\nAnswer: 580.17072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847 is divided by 1422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*o + 88. Find the common denominator of -19\/12 and 3\/o*2*39.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5793 - -5798. Solve 2*f + r = 3*w, 0 = -3*w + 4*f + 13 - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34169310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + z - 2*z - 724 = 0, -4*z = 0. What is the third derivative of 181 + n**4 - v - 40*n**2 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 2 (c) 23462 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13347253.\nAnswer: 19, 36973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 - 9*a + 12. Suppose i - 3 = 5. Let f be v(i). Determine q, given that 3\/4*q**f - 1\/2*q**2 - 1\/2*q**3 - 1\/4 + 3\/4*q - 1\/4*q**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.12, -5, 5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -5*u**3\/6 + u**2\/2 - 204*u - 2. Suppose -26 + 6 = 4*d. Determine n(d).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 30. Let g be x(-14). Solve -g*y = -2*z + 8, -2*z - 2*y - 8 = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(5\/(-420)). Suppose 4*s = -5*v - n, 0 = -3*v - 4*s + 14 - 44. Is -9 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1603 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -11. Let k(m) = -m**3 - 3*m**2 - m + 3. What is the units digit of k(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 138.44, -1, 3\/13, -0.2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 16. Let p be u(-8). Suppose p = 2*y + 3 - 15. Solve -q = -y*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61743 + 30863 - 3*x**3 + 30880.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + 3286*d + 2712607. Let k(v) = 8*v**2 - 3282*v - 2712606. Let t(b) = -2*k(b) - 3*u(b). Factor t(z).\nAnswer: -(z + 1647)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:44 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -132*d**2. Let l(z) = 17*z**2 - 70*z. Give l(n(h)).\nAnswer: 296208*h**4 + 9240*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -19*n - 5. Let u(r) = 2*r + 4. Determine u(g(i)).\nAnswer: -38*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6827867 (base 9) to base 15.\nAnswer: 4ca567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -15*o - 4*o**2 + 7*o + 5*o**2 + 5. Let u be 300\/(-270)*(-18)\/(-5). Let j(k) = -k**2 + 9*k - 6. Calculate u*j(b) - 5*g(b).\nAnswer: -b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1375) - -1*sqrt(1375) - sqrt(55)) + -2*sqrt(880))\/(2*sqrt(99)*-6).\nAnswer: -sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76)*5)\/(sqrt(2) - 3*sqrt(4)\/sqrt(2)))\/(sqrt(16)\/sqrt(648) - sqrt(8)\/(sqrt(12)\/sqrt(3))).\nAnswer: 45*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqllqvvvvq. Give prob of picking 4 v.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196252503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/4*1*-1. Let h = n - -14. Suppose h = 3*f - 2*f. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**2 - 750 + 2*p**5 + 751 - 1774*p**4 + 191*p**4 - 711*p wrt p?\nAnswer: 120*p**2 - 37992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(-3*c + 0*c - c) + 2 - 2 + 2*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 45. Let r = 16 + w. Suppose -r*j - 9 = 0, -2*v + 5*j + 19 = -138. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*t - 42 = -846*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 13*j**3 + j**3.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1660 = -4*z - 0*z + 3*s, -3*s = 3*z - 1245. Suppose 4*x - 254 = 4*d + 262, 0 = 3*x + 4*d - z. List the prime factors of x.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2510855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*m - 1214*m - 5902 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/3 + 1124*x\/3 + 748 = 0.\nAnswer: -1122, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 10 = d. Suppose -5*u = -2*p - 6 + 2, -5*p - 39 = 2*u. Let m = p - d. Solve 0 = q - m*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - (-2)\/(-56). Let v = 5532 + -5531. What is the second biggest value in 3\/8, v, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -27*o**8\/14 + 13*o**4\/12 - 6*o - 2. Find the third derivative of m(q) wrt q.\nAnswer: -12960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**5\/20 + g**4\/12 + 5*g**2\/2 + g. Let c(q) = q**2 + 15*q - 15. Let x be c(-18). Let y be 1 + -4 + x\/13. Determine h(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4062, 4007, 3956, 3909?\nAnswer: 3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6))\/(1\/(-36)). Let s = d + -3. What is the highest common divisor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100001001 - 1000101010?\nAnswer: 100000011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*k + 708, 5*p = k + 30 + 866. What is the lowest common multiple of 204 and p?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 4*s**3 + 3*s**3 + (3 + 6 - 4)*(488*s**3 - 997*s**3 + 494*s**3).\nAnswer: -74*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*s**6*z**2 - 1984*s**6 - s**2*z + 24*s*z**2 + 71*s wrt s?\nAnswer: -2520*s**3*z**2 - 238080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*f**2 - 50*f + 7*f**5 + 88*f - 185*f wrt f?\nAnswer: 140*f**3 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -20*y**2 - 224*y + 4537. Let c(n) = -39*n**2 - 452*n + 9074. Let q(k) = 6*c(k) - 11*z(k). What is the first derivative of q(v) wrt v?\nAnswer: -28*v - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 12175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(300) + 3)**2*-4.\nAnswer: 1440*sqrt(3) + 7416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -378\/35881 or 0?\nAnswer: -378\/35881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*y + 3*y - 60, 2*y - 68 = -5*g. Let h = -18 + 10. Let v = g + h. Solve -p = -v*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-15)*l*l*l**22*l assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.07, 3, 2\/47, 2\/357 in descending order.\nAnswer: 3, 0.07, 2\/47, 2\/357, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 412, -7, -2, -4, 2 in decreasing order.\nAnswer: 412, 3, 2, -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18 and 113\/272920.\nAnswer: 2456280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18038 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-657 - -755) + (1 - 60)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0435 - 17?\nAnswer: -16.9565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w - 1. Let j(c) = -6*c**2 + 6*c - 4. Suppose -5 = -3*n - 2. Let a be ((-3)\/6 + n)*-2. Give a*j(x) + 4*f(x).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (3 - 0) - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0575714 - 0.3\nAnswer: -0.3575714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Suppose g - s = -0*g. Suppose -94 = -g*n - 38. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 3:21 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 306096\/13 - 23546. Which is the biggest value? (a) h (b) 26 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8*o - 5. Let w be h(-7). Let y be 1\/(-5) - 322\/(-10). Let x be y\/(-12)*63\/(-12). Solve 4 = v, 0*q + x = 2*q + w*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kybbkyykyyyyyykyyyky. Give prob of sequence bk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 3 = 2*i. Let a be (i\/(-6) - -5) + -17. Which is bigger: -41\/3 or a?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8789, 9100, 9609, 10310, 11197?\n\"Answer: -x**3 + 105*x**2 + 3*x + 8682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.225920148 to 3 decimal places.\nAnswer: -4.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-198)\/(-51) + -2 + -2. What is the closest to -1 in d, -1, -6, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 12*s**2 + 2902*s + 1054. Give h(-48).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198719321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((8\/(-40))\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7)*3 + -5 + (sqrt(77)\/((sqrt(22)*-1)\/sqrt(2)))**2.\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 6720*l**4 - 2848525*l**3 - 300882250*l**2 + 34046212500*l - 33742475000 = 0. What is l?\nAnswer: -470, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from cxcwckowwkccxcwwcx?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11281 - -23a?\nAnswer: 114bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 + (-4)\/20. Let j = 20 + -19. Which is the third smallest value? (a) -3 (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*y + 5*g - 28, 289 = y + 12*g + 313 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 143034 (base 6) to base 2\nAnswer: 11010100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 3*d**2 + 32*d**2)*(3 - 2*d - 2 + 1)*(0 + 0 - d).\nAnswer: 60*d**4 - 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87518118 to the nearest integer?\nAnswer: 9355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19*b - 1. Let p be s(-7). Suppose -2*n + 5*x = n - p, 4*n + 3*x = 205. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4280*f**2 - 3 + 3.\nAnswer: 4280*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15752264?\nAnswer: 2, 11, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161488\/40 + 26 + -31 + (-24)\/(-5) and 734.\nAnswer: 8074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 12\/(-9). Let p = -19 - -9. What are the prime factors of 4*(-3 + k)*p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41925)\/6500 - 315\/(-75).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 4567\/151?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -315*w + 37*w**4 - 3*w**2 + 725*w - 414*w + (-w - w + 3*w)*(0*w**2 + 0*w**2 - w**3).\nAnswer: 36*w**4 - 3*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - 48acd?\nAnswer: -48ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = -2117*w + 2114*w. Let u = w + 505. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05908823916 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/103, 4, 1 in increasing order.\nAnswer: 3\/103, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 597823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 11*i + 33. Let u(q) = -5*q**2 - 3*q - 223. Let s(d) = -14*d**2 - 7*d - 609. Let l(z) = -4*s(z) + 11*u(z). What is -7*l(b) - 3*v(b)?\nAnswer: -b**2 + 2*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.904 + 0.096. Which is smaller: -1\/208 or l?\nAnswer: -1\/208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3530 + 3980. Calculate the remainder when 1367 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70528)\/(-812) - 87)*3*2.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 13, 1, -2 in increasing order.\nAnswer: -5, -2, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1.5.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40*y + 62*y**3 - 6487 - 41*y + 6491 - 2*y**2)*(2*y + 2 - 2) to q*y + t*y**3 + r + p*y**2 + a*y**4 and give a.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-4)\/(-1))\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -30) + 19 - 82?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3049659, 3049461, 3049263, 3049065?\nAnswer: 3048867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/3 + 4*k**3 - 2*k**2 - 20*k\/3 = 0?\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106202*g**2*m + g**2 + 5*m + 7036 wrt g.\nAnswer: 212404*g*m + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1306 and -0.057453.\nAnswer: 75.033618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*y + 5612 - 5465, -4*u + 120 = -4*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6972b - -100a?\nAnswer: -68721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35324 = -22*p + 21414. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1179*f**3 + 1060*f**3 + 6*f**2 + 4*f - 16*f**2 wrt f.\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 165923366 smaller than 165923366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/(1148\/(-1792)))\/(1\/(-2)*4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 61.75. Let h = -0.2500355 - m. What is h rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*d - 6, 4*d = -0*d - 4*l + 24. Suppose 2*h = h - d*c - 32, 8 = h - 3*c. Is h < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4870, 9746, 14622, 19498, 24374, 29250?\nAnswer: 34126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 6, 22602, -24 in decreasing order.\nAnswer: 22602, 6, 5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 325*h - 323*h - 78. Find the first derivative of 16 - 20 - 85*o - 23 - h wrt o.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22910, -22911, -22912, -22913?\n\"Answer: -c - 22909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 6\/(-3)*1\/2. Suppose 0 = -s - 4*t - 19, 2*s + 5*t + 34 - 11 = 0. Sort 4, s, 2, m in ascending order.\nAnswer: m, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - -13 - 7 - 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 3. Let r(t) = t + 4. Let o(j) = 3*j**2 - j + 1. Let m be o(3). Suppose 7*k = 2*k - m. Calculate k*h(v) - 4*r(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, w: 1, u: 3, m: 1, x: 3}. What is prob of sequence jxjx?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-6 + 2)\/4) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2 - 4*i + 19. Let z(n) = -4*n**2 - 3*n + 18. Calculate 2*k(r) - 3*z(r).\nAnswer: 2*r**2 + r - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, -3, 231, 26, 5 in ascending order.\nAnswer: -3, 0, 5, 16, 26, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 17. Suppose 2*a + 3*a - 95 = 0. Suppose i - a = 4*i - j, 5*i + t = -4*j. What is the biggest value in i, 3\/4, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 - 129\/9 - -6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**5 + l**4 - l**3 + l**2 - 1. Let q(z) = -5*z**5 + 5*z**4 - 7*z**3 + 7*z**2 - 6. Let k(o) = 6*p(o) - q(o). Factor k(j).\nAnswer: -j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110391 - 42650. What is the ten thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (-43 + 29 + 52).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32991.6 + -30536. Round r to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, 4, 0, 5, -4 in decreasing order.\nAnswer: 119, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l + 8. What is k(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/50 + 1 + 27\/(-30). Solve -3*w + 4*q - 8 = -i*w, 2 = -2*w + 2*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1682780*k**2 - 5*k + 1682799*k**2 + 7*k - 2*k.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 37. Suppose -17*y + 22*y - s = 0. Solve -16 = -3*j - j - y*t, 2*j - t - 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-18))\/(2\/15). Suppose 0 = z*p - 782 - 123. Suppose 3*o - 6*w = -w + 543, -p = -o - 2*w. List the prime factors of o.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2205 + 0.2205. Let d = 85\/124 + 2\/31. Which is the nearest to -1? (a) r (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8030053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7539 or -7541?\nAnswer: -7541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -47. Calculate the remainder when i is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188 - -594. What is the remainder when x is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -81 in increasing order.\nAnswer: -81, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -762 - -777. What is the highest common divisor of g and 3735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2642 = -3*x + 5*p, -4*p + 298 = x - 611. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(847) + -1*1*sqrt(847) + -1)**2 + (-3*sqrt(847)*-5 + sqrt(847) + sqrt(847) - sqrt(847)) + ((sqrt(847)*3 - sqrt(847)) + -3 + sqrt(847))**2.\nAnswer: -22*sqrt(7) + 7634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872563 is divided by 15161.\nAnswer: 8386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124737, 249244, 373751, 498258, 622765, 747272?\nAnswer: 871779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 14\/(-4). Suppose -z*y + 76 - 16 = 0. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + y - 4*y)*((2 - 1 - 2)*(-4 - 2 + 5) - 4 + 12 + 5 + (0 - 2 + 3)*(4 + 0 - 2) - 4 + 3 - 3) to the form i*y + q and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 (base 12) in base 10?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -40331.27.\nAnswer: -16132.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -1531 in ascending order.\nAnswer: -1531, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than -1178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103078555 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -2, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/5 + 8*n**2\/5 + 14*n\/5 - 4 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7322 - 51250\/7. Sort 4, -2.3, r in decreasing order.\nAnswer: 4, r, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -15. Let q(b) = -3*b - 11. Let t be q(-4). Let v be (-2 + 32\/17)\/t. Put -10, v, g in descending order.\nAnswer: v, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 882\/17. What is the third biggest value in 5, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23606523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -440 + 441. Let f = -181 - -902\/5. Which is the nearest to -0.3? (a) f (b) v (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 47.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2. Let t(i) = 2*i**2 - 32 + 14 + 18. Determine t(h(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2 + 2 + 2)) + (-130 - -124)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 5. What is w(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(2\/23)*s)\/(s**(-12)\/s))**(-22))**14)**10 assuming s is positive.\nAnswer: s**(-997920\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7325 + -7321. Put h, 6, 3, -5, 9 in descending order.\nAnswer: 9, 6, h, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 717\/13 + -491511\/8918. What is the common denominator of b and -39\/392?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*k - 643836 = -184*k + 427619. List the prime factors of k.\nAnswer: 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 37 (b) -88 (c) -2 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*l - 9 = 18*l - 321 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -8, 15, 56, 121?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 47, 92, 135, 164?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183580187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56874*x - 80490?\nAnswer: -56874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0385 less than -10957022?\nAnswer: -10957022.0385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**(-3)\/f*f))\/f)\/f**(1\/2))\/(f\/f**(-2\/5)*f)**(2\/13))**(-5\/3) assuming f is positive.\nAnswer: f**(-277\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -0.07 (c) 0.02 (d) 310 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (106 - (124 + -21)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000521 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5640000 = -2*g. Round g to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 16 = -27*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 642 + -362. Calculate the least common multiple of 252 and s.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:48 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.035278 and -4.\nAnswer: -3.964722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2562 + 2912. Calculate the smallest common multiple of 400 and w.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(1\/14)*k*k*k*k*k\/((k*k**18)\/k)*k*k*k*k assuming k is positive.\nAnswer: k**(-97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - e03a?\nAnswer: -e039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1157*c + 2521. Let k(a) = -773*a + 1681. Let i(x) = 14*k(x) - 10*o(x). What is the first derivative of i(t) wrt t?\nAnswer: 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -6\/17 (c) -3\/5 (d) -0.4 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 1. Let t(j) = -j - 3*j**3 + 4*j**2 + 4*j**3 + j**2 + 2 + 5*j. Let q be t(-4). Suppose q = -v - 1. Give d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275)*-1*-5 - sqrt(1275))\/((sqrt(36)\/sqrt(27))\/sqrt(4)).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 - (-186 - 14\/7)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2317, -1\/4, -0.2?\nAnswer: -2317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*b**2 + 6*b**3 + 4*b + 220*b**2 as l + o*b + h*b**2 + q*b**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2543 and 85051.\nAnswer: -216284693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-230)\/(-45) - 5) + (-3385527)\/(-27). Is (q\/(-15))\/((-4)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146742500 to the nearest 100000.\nAnswer: -146700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 721*l - 180. Is v(28) a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**8\/3360 + b**7\/630 - b**6\/360 - b**4\/6 + b. Let s(l) be the third derivative of i(l). Factor s(r).\nAnswer: -2*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 21. Let h be z\/2*(-1)\/1. Is 13364\/36 - (-2)\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 46 + 26. Solve -30 + 6 = p*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 11*m + 6. Suppose -d + 1 = 0, 0 = -2*p + d - 0 + 3. Let k = 3 + p. List the prime factors of c(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82036, -163919, -245788, -327637, -409460?\n\"Answer: p**3 + p**2 - 81893*p - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 2701 = 5*x - 461. What is the lowest common multiple of 289 and x?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -9.1?\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-9)\/3 - -2. Let a = -803 + 808. Solve -a*j = -4*w + 20, d*j + j + 25 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -15*f**3 - 57*f**2 - 2424*f + 4761. Let w(u) = u**3 + 4*u**2 + 173*u - 340. Let s(x) = -2*i(x) - 29*w(x). Factor s(c).\nAnswer: (c - 13)*(c - 2)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3026 + 821. Let r = z + 138. What are the prime factors of r?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o - 4. Let r(u) = u**2 - 2*u + 7. Calculate -13*f(a) - 6*r(a).\nAnswer: 7*a**2 - a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/1)\/20)\/((-6)\/(-10))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/61? (a) 7 (b) 0.03937 (c) -0.1 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 12. Suppose f = 4*d + 17, -2*f - 4 = -z*d - 28. Calculate the lowest common multiple of 10 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 342 = 4*k. Suppose 18 = -5*f + k. Let u be (-44)\/(-10) - 2\/5. Solve -f*z + u = 3*r, -3*z + r + 20 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 12:11 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1062710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7)\/(26\/(-91))*(-40)\/1060\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550875 is divided by 7651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (168\/(-81))\/(80\/24) and 44\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*g**4 + 4*g - 4 + 4*g**4 - 2*g**3 - 5*g**4 to b*g + h*g**2 + y + l*g**4 + s*g**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -29. Let u be 810\/(-315) - (h - (-1 + 0)). Let v = 0.67 - -0.13. What is the fourth biggest value in 5, v, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-12)\/(-150)*5*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1213100?\nAnswer: 1213041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/25 - (-406)\/115\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/186 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1265706, 1265710, 1265716, 1265724?\n\"Answer: k**2 + k + 1265704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7994696 months to millennia.\nAnswer: 0.0001499558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5135, 8962, 12789?\nAnswer: 16616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -445*z**4 + 338.\nAnswer: -1780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 24 = -212. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 7)\/(-3) - (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2264 and 35710072?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -39, -33, -25, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9709.448ug in kilograms?\nAnswer: 0.000009709448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 3*o - 3. Suppose -q + 5*x + 35 = 6, 4*q - 41 = 5*x. What is z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dde5 (base 15) to base 5.\nAnswer: 3001030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168064 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1478376 by 41066.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -2\/7 (b) 174 (c) -169 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**5 + 3643*y**4 + 3308743*y**3\/3 - 1845483*y**2 + 862144*y - 369664\/3 = 0?\nAnswer: -608, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -z - 5*t, -5*z + 2533 = -4*t - 498. Suppose -z = b + 3*f, -1003 = 4*b - 3*f + 1350. Round b to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 10) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/20 + 7*x**4\/12 + 11*x**3\/6 - 10*x**2 + 30*x. Let i be p(8). Find d such that -1\/2*d**2 - 8 - i*d = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74333103 to the nearest integer?\nAnswer: 8622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/((-6)\/15).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 1.8. Let b = -155 + 1087\/7. Put 2\/9, b, y in descending order.\nAnswer: y, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12005250 and 270?\nAnswer: 108047250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f**(-12)*f)\/f)))\/(((f*(f\/f**21)\/f*f)\/f*f*f)\/f) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(65)\/sqrt(5) + 2 + 3)**2 + -1*(sqrt(637) + 2 + sqrt(637) + 3 + sqrt(637))**2.\nAnswer: -5525 - 170*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6173707225?\nAnswer: 5, 7, 41, 122921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 29\/(957\/(-30)) - 860\/(-22). Solve 34*u + 5 = h*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1619 - 98. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14865 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642814904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:46 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/7 - 46*u**2\/7 - 106*u\/7 + 150\/7 = 0. Calculate u.\nAnswer: -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9000477 years to millennia.\nAnswer: 0.0009000477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpz when three letters picked without replacement from {p: 1, z: 5, e: 3, u: 8, y: 2}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5514 is divided by 5478.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/3 - 1608*z + 757760\/3 = 0?\nAnswer: -2560, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*l + 98, -7*d + 4*d - 2*l + 58 = 0. Suppose 13 = -w + d. Calculate the highest common divisor of 99 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4742 + -4148. Calculate the greatest common factor of f and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v**2 - 122*v - 218. Let w be o(-10). Solve 0 = -3*f - h + 20, 0 = f - 3*h + w*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -591 + 410. Let j = m - -181.1. What is the nearest to j in 5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003675358 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212)*-2 - sqrt(4212))\/(sqrt(8)\/sqrt(2)*5) - (0 + (sqrt(78) + 1*sqrt(78)*-6 - sqrt(78))\/sqrt(6)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 7*h - 7. Determine c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3495 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77564*y - 77492*y + 1296 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 10, -1, -30, -83, -166, -285, -446?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 - 18 - 17*t**3 - 17 + 35.\nAnswer: -17*t**3 - 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -60.2?\nAnswer: 240.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 7*z**3\/6 - 3*z**2\/2 - 112*z. Let p(c) = 9*c**2. Give g(p(o)).\nAnswer: 63*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -139879.\nAnswer: -2797580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -18. Let c = 20 + -33. Let d = c + u. What is the greatest common factor of d and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 8.2.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7792 + 1ad?\nAnswer: 7961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 62\/3 of a century?\nAnswer: 24800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -7*z**4\/3 + 209*z**3\/6 - 1220*z**2. Differentiate r(i) wrt i.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 644*x**3 + 526*x**3.\nAnswer: -118*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 46.\nAnswer: 9\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 1\/2, -2, 0.258 in descending order.\nAnswer: 1\/2, 0.258, -0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 50. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/334 and 56\/87?\nAnswer: 29058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100010122 - -211?\nAnswer: 2100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59287100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(847) + (sqrt(343)*-5 - sqrt(343)) + sqrt(343))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -433.7854 and 60453.5.\nAnswer: 60019.7146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffaft. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*g = 2205, -4*g + 6*g + 2184 = 3*o. What is the highest common divisor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.858327 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 3072.\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 9*z + 17. Let u be j(-11). Let m(s) = -4*s - 5. Give m(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 124*m**2 + 5*m - 15. What is the units digit of w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*o + 5, 4 + 2 = 2*o + 2*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 242, 516, 896, 1382?\nAnswer: 1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2218, 4608, 7174, 9916?\nAnswer: 12834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2915)\/(-15370)*4\/(-11)*-1\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/25 - 13\/50. Calculate the common denominator of c and -53\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -64*m - 9. Let g(k) = -64*k - 11. Suppose -2*z = -4, -10*f - z + 12 = -8*f. Let c(y) = f*g(y) - 6*o(y). Let a(h) = h. Determine a(c(q)).\nAnswer: 64*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 955964000 to the nearest one million.\nAnswer: 956000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 16*k + 37. Suppose -378*u + 382*u - 72 = 0. Calculate g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, p: 1, r: 8, k: 2}. Give prob of sequence rvvp.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 43*z**2 + 174*z + 14. What is the remainder when 54 is divided by f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - sqrt(91)*2*-1) + sqrt(91))\/(1*sqrt(28)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5675\/3276 - 137\/63. What is the common denominator of -107\/18 and g?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15575*a - 3224034. Determine n(-207).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 48*l - 2. What is the remainder when w(1) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103505 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6684\/10781 or -3?\nAnswer: -6684\/10781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5110 (base 11) to base 4\nAnswer: -1222003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -150, -179, -208, -237, -266?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47\/220 - -2\/55. Let i be (-2)\/9 + 796\/18. Let f = i - 131\/3. Which is the nearest to 2\/5? (a) f (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193437661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 468380482145?\nAnswer: 468380482141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 2. Let h be t(2). Let l be (-645)\/172 + ((-78)\/24 - -5). Let o = l - h. Sort o, -32, 4 in decreasing order.\nAnswer: 4, o, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 e when four letters picked without replacement from {s: 1, v: 2, m: 6, e: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 772\/114 + (-1)\/6 + 112\/1824. Factor -16\/3 - 4\/3*a**2 + k*a.\nAnswer: -4*(a - 4)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -8. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -43, 2, -18.\nAnswer: -43, -18, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*z**3 - 154*z**3 - z - 99*z**3.\nAnswer: -z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 185 - 185.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 + x**2 + 2*x + 1. Let s be u(3). Let q = -18 - -25. Suppose -3*w - q = -s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5, -4, 10, -10, 58 in increasing order.\nAnswer: -10, -5, -4, 1, 5, 10, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -9) + (22 + -18 - -46).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**2 + 1. Let s be h(-1). Let n(v) = -4*v - 10. Let d(t) = -5*t - 11. Let l(w) = 6*d(w) - 7*n(w). Let q be l(4). Put s, q, 2 in increasing order.\nAnswer: s, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15546 + 176. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 4330432?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 2*t - 4 = 0, 3*t - 6 = 4*z. Suppose 65*j - 70*j + 255 = z. Let r = -38 + j. Solve -5*s = -15, -4*p + s + 4 = -r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 180?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**3 + 5868*m**2 + 2955447*m + 83463210 = 0?\nAnswer: -963, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 696931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c - 2. Let x(v) = -3*v**2 + 2*v + 4. Let b(f) = 5*g(f) + 2*x(f). Let d be b(5). Let w = d - -56. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:51 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58680 and 19560.\nAnswer: 58680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -53 (b) -2\/7 (c) -3 (d) 5 (e) 0.071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90308.37 milligrams in kilograms?\nAnswer: 0.09030837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 take away -24?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 435 = -400 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**22\/(h**(-2\/9)\/(h*(h\/(h\/h**(-2)))\/h)))**(-41) assuming h is positive.\nAnswer: h**(4715\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-23 - (-24 + 22))) + (-1 - 33)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u + 2*u + u - 5. Let o be w(-5). Solve 0*z + 3*z + t + 3 = o, 5*z + 6 = -2*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - 15. Let r = -21 - q. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.14 + 175.26. Let w = 190 - q. Which is bigger: w or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (2 + (-9)\/3). Suppose j - 36 = -4*b, -b + 2*b - 24 = -y*j. Calculate the remainder when 14 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -1, -0.9902, -4\/11?\nAnswer: -0.9902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 4. Let j be p(-5). Let n be (2 + 1)*(-1)\/3. Let w be (n - 0)*(-5 - -15). Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 - 1306124*p**3 - 2*p**2 + 1306124*p = 0. Calculate p.\nAnswer: -1, 0, 1, 653062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - ((8 - -2) + -3). Let g = t - -7. Is 1 - (-26 - (g - 3)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/616*-592*9\/36*-14.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 4*u**2 - 2. Suppose 14*p - 26 = 30. Suppose -q = -4, 7*r + 4*q = p*r + 13. Let d(m) = -m**2 + 1. What is r*t(v) - 4*d(v)?\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**3 + 46*g**3 - 23*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, -2 in ascending order.\nAnswer: -17, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -672.6171 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/90) + 12936\/1298?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120790575 plus 0.1?\nAnswer: -120790574.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-23 - -68)) + (-25 - 18)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:36 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*s = -4*v + 304, 0 = 3*v + 5*s - 228. Let m = v - 74. Suppose -m*b + 4*z + 296 = 2*z, -z = 3*b - 436. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16*j**2 - 57. Let x(a) = -a - 28. Give x(c(q)).\nAnswer: -16*q**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(64) - (2 + sqrt(3) + -5 + sqrt(3)))**2.\nAnswer: -21*sqrt(3)\/2 + 291\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 5 - 246\/63. Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 17 + 14)*(0 - y + 0 + (y - 2*y + 2*y)*(-1 + 1 - 2) - 3*y + 2*y + 0*y + 1 - 1 - y).\nAnswer: -65*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h - h**3 + 3 - 1 + 4 - 10*h**2. What is the tens digit of z(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 101.70962 and 6303.\nAnswer: 6404.70962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9639, -10126, -10617, -11112?\n\"Answer: -2*v**2 - 481*v - 9156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - i**3 + 0*i**3)*(i**2 + 5*i - 5*i).\nAnswer: -i**5 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 439 + -428. Calculate the remainder when 59 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -2 - (-5 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 11*a**2 - 12*a + 2. Suppose 15*n + 6 = 17*n - 2*s, -22 = -2*n - 2*s. Calculate the remainder when n is divided by k(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -245*j**2 - 9*j + 21704 wrt j?\nAnswer: -490*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20209603 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677847535?\nAnswer: 5, 7, 13, 19, 194083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14\/25 (b) -14 (c) -27 (d) 0.4 (e) -0.5 (f) 4 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0 - 1 = 3*r, 19 = 2*x + 5*r. Suppose 53 + 35 = x*w - 5*d, 4*w = 3*d + 148. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.25869233 to 2 dps.\nAnswer: -3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(245) - -1*sqrt(80))**2 - sqrt(60)\/(-2*sqrt(1728) - sqrt(12)).\nAnswer: sqrt(5)\/25 + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**6\/180 + 5*x**3\/3 + 19*x**2. Let v(f) be the first derivative of k(f). Let p(z) = z**2. Give p(v(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y - 24 - 51 - 46. Let k(i) = -7*i - 1. What is the remainder when k(-4) is divided by c(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -8) + (-81 - (-10 - 48)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 2:49 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2\/8 - 2241*z\/8 + 2247\/4 = 0.\nAnswer: -749, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3985, 314, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13811, -4 in increasing order.\nAnswer: -4, 0, 13811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57629?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25665*u**3 + 51321*u**3 - 25786*u**3 + u**2 to o*u**2 + w*u + m + k*u**3 and give k.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 12*w - 16. Calculate the remainder when ((-12)\/w)\/((-6)\/8) - -37 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/19)*(m**(-5)\/m*m)\/m assuming m is positive.\nAnswer: m**(-97\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -0.03, 0.08, 2.1, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1703*b*s**2 - 17429*b*s + 26312*s**2 + 1829*s wrt b?\nAnswer: -1703*s**2 - 17429*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 - 15 = -3*c, -2*r - 6 = 2*c. Let g = -33581\/3 - -973882\/87. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233 - 152. Let l = 86 - q. What is the biggest value in l, 0.3, -5, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 18\/15)*895\/179 - 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/109, 0.07, -9\/22 in decreasing order.\nAnswer: 0.07, 1\/109, -9\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by -3 + 1 - (13 - 24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:00 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 8*i + 12. Let z be y(-5). Suppose -3*b + 65 = 5*r, -z*b - 5*r = -3*b + 15. Solve -b = 3*g + 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 5*d**3 + 43.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(4 + 5 + -10). Solve -f = -5*s + 4*l, 0 = -s - 0*l + 4*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 = 73*f - 94*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 = 4*l + a, -4*l + 14*a + 660 = 18*a. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:06 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 11:46 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94712023 to the power of 1\/2, to the nearest integer?\nAnswer: 9732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -16, -39, -80, -145?\n\"Answer: -l**3 - 4*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in -6\/11, -3\/11, -0.029?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-15) - 59072\/(-240). What is the remainder when 3\/(9*2\/g) is divided by (1 + 2)*14\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 95\/4. What is the nearest to r in 4, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-50)\/475 - (-100)\/228)*24. Solve 4*r + 22 = 2*n, -o*n + 5*r + 28 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/((-5)\/((-105)\/(-2))) is divided by 4*(-1)\/(-18) - 2332\/(-198).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 24. Suppose 8 + c = 4*p. Suppose 5*m + 4300025 = t, p*m = -4*t + 2*m + 17199990. Round t to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - w + w + (2*w + 1 - 1)*(0 - 1 + 0) + (27643 - 27643 + 255*w)*(0 - 1 + 2) in the form o*w + n and give o.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(200)*2)\/(sqrt(12)\/(sqrt(18)\/sqrt(6))).\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3269196, 6538391, 9807586, 13076781?\nAnswer: 16345976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 + 3098420*d**2 - 6196852*d + 3098428 = 0.\nAnswer: -774607, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 25*f - 252. Solve -f = -12*c + 9*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -100*j**2 - 9*j + 10. Let o be a(5). Let w = -25323\/10 - o. Find the common denominator of w and -97\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**2*m**2 + 14*l*m**2 + 556*m**2 with respect to l.\nAnswer: 6*l*m**2 + 14*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3469193102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2. Put -5, 4, q in decreasing order.\nAnswer: 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**4 + j**3 + 96174*j**2 + 208*j + 5319?\nAnswer: -96*j**2 + 6*j + 192348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102021242 (base 5) in base 11?\nAnswer: 26a059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7164210 divided by 2388070\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -44.39.\nAnswer: -44.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10216 is divided by 2545.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -937, -1900, -2953, -4090, -5305, -6592, -7945?\nAnswer: -9358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497193239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.2, 0.3, 1533?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2785 - 2785.01903. Let l = -2.02 + 2. Let c = f - l. What is c rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(-5*(sqrt(80) + 0 + sqrt(80) - sqrt(80))**2 + -4).\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -58. Let o = z - 6. What is the least common multiple of o and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:41 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 + 190. Suppose -6*b + 6 = -i*b. Solve -t + 5*k = -16, t - k - 7 = -b*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - 6\/(-5). What is the least common multiple of k\/1 - (2 - 8) and ((-30)\/9)\/((-4)\/6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*g = -197*g + 42. Let o be (-928)\/g + (-34)\/119. What is the greatest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 - 7) - (-41 + 17 - -20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*v = 4, d = -3*v + 5 + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 3\/2, -3\/4, -4, -186, -3 in descending order.\nAnswer: 3\/2, -2\/27, -3\/4, -3, -4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -4, 267, 511, -5 in ascending order.\nAnswer: -5, -4, 2, 9, 267, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 + 11*m + 27*m - 6*m. Let v = 6 - 3. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u + 4. Let t be f(2). Suppose t*i = 4*i. Suppose 3*z - m = 8, -3*m - 11 = 4*z - i. What is the greatest common divisor of z and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643407.1 decades in months?\nAnswer: 77208852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 3.3226\nAnswer: -89.7102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + 0.9. Suppose -2*l = -0*l - 4. Let w = -3.96 - 0.04. Put u, l, w in ascending order.\nAnswer: w, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 < -3713\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394 and 5696.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b + 171*k - 169*k, 3*b + 3*k - 21 = 0. Let s(t) = 193*t**2 + t. Let y be s(-1). Calculate the highest common divisor of b and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -10. Solve -32 = 5*v - k, -3*h - 20 = 2*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75099 + 132454. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173513 (base 9) in base 7?\nAnswer: -625434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10794 is divided by 10775?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppveopvpeepep. What is prob of sequence pvv?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -209 + -81?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85304?\nAnswer: 2, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-73)\/(4599\/(-441))*(-12)\/14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**4\/2 - 8*h**3\/3 - 8631. Determine q, given that a(q) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.2. Let m = -13558.07 - -13558. Is m at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjj when three letters picked without replacement from zjhhjjhjhjjhhjj?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -0.036, -3, -0.3 in decreasing order.\nAnswer: -0.036, -2\/17, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4368 - v**3 - 4368.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/18)\/(60\/45). Which is the nearest to -1? (a) -2 (b) -6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 4*s - s + (-6*s + 4*s + 3*s)*(3 - 2 + 0) + 111 + 20*s - 111 in the form d + a*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Suppose 0 = v*i + 3 - 53. Let z(w) = w**2 + 3*w - 126. What is the least common multiple of i and z(-13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 5*q**2 - 6*q - 4. Calculate the remainder when p(-2) is divided by ((-2)\/4 + 1)*14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = -23. Let v(g) = -2*g + 2. Let d(k) = k - 1. Let m(c) = 3*c - 3. Let b(l) = 8*d(l) - 3*m(l). Give o*v(t) - 11*b(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 10*y - 2. Calculate h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -50*l**2 - l - 1. Give k(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(9 + -6 - (0 + 1)). What is the second biggest value in r, -2, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24186 and 5787126?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2. Let f be 2*(-95)\/(-5) + 0 + 2. Let g(m) = -f*m - 37*m + 96*m. Give z(g(i)).\nAnswer: 1083*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 1\/9*d**3 + 0 + d - 1\/9*d**4 + 1\/30*d**5 + 0*d**2. Let u(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*h + 5. Calculate the lowest common multiple of 14 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a**(2\/19)*a*a*a)\/a)*a)**(-10\/7)*a\/(a\/(a**(-3\/7)*a))*a**(-16))**(-4\/15) assuming a is positive.\nAnswer: a**(8888\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131534233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*w + 6430 = -123*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 25*t**3 - 12*t**3)*((0 + 0 + 3)*(-3 + 2 + 2) + 4 - 2 - 5 + (-5 + 3 + 1)*(-1 + 0 + 0)).\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 17530712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 182100 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-12)*-8)\/(20\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223 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: Sort -9, -41, -3, -2 in increasing order.\nAnswer: -41, -9, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, 1 i, and 1 t when four letters picked without replacement from {i: 4, j: 4, x: 4, t: 6}?\nAnswer: 32\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + 3 + sqrt(720) - 3*(2 + sqrt(720))**2 - (3*2*((-1*sqrt(720) - sqrt(720)) + 5 - sqrt(720)))**2).\nAnswer: -236348 + 12828*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o + s - 15 = 0, 2*o + 5*s + 17 = 0. Let t = 18 - o. What is the highest common factor of t and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 14*z + 17. Let v(w) = 2*w**2 + 15*w - 19. Let i(p) = -3*d(p) - 2*v(p). What is i(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 121, 386, 903, 1756, 3029, 4806, 7171?\nAnswer: 10208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 20 = y. Suppose 2*m - 17 = -y. Find the third derivative of 4 - 4 + 3*h**2 + m*h**3 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 5, d: 4, f: 1}. Give prob of picking 2 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 - 13 - ((8 - 28) + 6)) + 4.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6118*t**2 + 1624*t**2 - 3293*t**2 - 3678*t**2)*(-2*t - 1 + 1).\nAnswer: 22930*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*c**3 + 83*c**3 - 40*c**3)*(-4*c**2 + 3*c**2 - c**2).\nAnswer: -296*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -502307 (base 8) to base 9\nAnswer: -271373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 1044 + 2603 - 6935 = 100*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19571 = g + 5*o, -189*o - 12 = -192*o. Does 204 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**2 + 2*f + 115. Let k(u) = 31*u**2 - 6*u - 309. Give 4*k(b) + 11*l(b).\nAnswer: 3*b**2 - 2*b + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/5084 and -167\/22344.\nAnswer: 28399224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 869*p - 11751. Give b(-203).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*x + 10. Suppose 5*c + 43 = -3*y, 5*y = -4*c - c - 85. Let n = x - y. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5033 is divided by 1637?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106076?\nAnswer: 2, 3, 92173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8659 greater than or equal to -8528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 136693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3361, -3358, -3357, -3358, -3361?\nAnswer: -3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*r - 163*r + a + 153 = 0, r = 4*a + 162. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64699494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*667545\nAnswer: -6675.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1044 and 9048.\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -35*(-55)\/(-10)*-10?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 238 = -42*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15756734 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7526, 1\/2, -0.0274 in descending order.\nAnswer: 1\/2, -0.0274, -7526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -901\/89872 + -3\/656. Let a be (-2)\/(-7) - 9556\/21098. Let s = j + a. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -9\/19, -10, -57?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/6, -0.06, -363, -5, -2?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 4*h - 19*h)*(5*h - 5*h - h)*(-2*h + 0 + 0) - 5*h**2 + 5*h**2 + 6*h**3 + (0 - 3 - 1)*(0*h**3 - 2*h**3 + 0*h**3).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1659 - -3422. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148743 and 306729315.\nAnswer: 2147105205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 306 - 300.88. Let u = z + -0.12. Let m = 1.8 + -2.2. Which is the biggest value? (a) u (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243276 and 2508.\nAnswer: 243276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12432 plus -0.4?\nAnswer: -12432.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 + -4.1. Which is the closest to -3? (a) -1\/4 (b) q (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 239, 106, -27, -160, -293, -426?\n\"Answer: -133*l + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 255*-0.2\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, -38, 1\/1905?\nAnswer: 1\/1905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 41. Suppose -c = -3*r - 29, 9 = -n*r - 4*c - 10. Let m(w) = w**3 + 10*w**2 + 10*w - 1. Give m(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - -77) + 12\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q. Let t(d) be the second derivative of 11*d**4\/12 - d**3\/3 - 23*d - 13. What is t(c(p))?\nAnswer: 1100*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 9 + 6*b**2 - 16 - 4*b**2 + 3*b**2 to z*b**2 + f + l*b and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 6, -5 in increasing order.\nAnswer: -5, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1229893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8011 is divided by 3103.\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 - -0.5. Let p = o + 1.92. Let x = -0.35 - 0.05. What is the second smallest value in x, -2, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 7 - (-57)\/45. Let a(w) be the first derivative of -1\/5*w**2 - 2\/5*w + h*w**3 - 1\/15*w**6 - 3 - 2\/25*w**5 + 1\/5*w**4. Factor a(b).\nAnswer: -2*(b - 1)**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 + 3*r - 3. Let z be b(-4). Let m be (-2 - (z - 2))*5. What is the third smallest value in 2, -0.1, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414607993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4256 - 2*a**2 + 4*a**2 - 2358 - 1898.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -17*t**2 - 5*t + 5. Let d(l) = -77*l**2 - 22*l + 22. Let y be -264 - (56\/(-4) + 5). Let i = 277 + y. Give i*b(j) - 5*d(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16131 + -16196.13. Let j = y - -64.4. What is j rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y, 3*v + 9*y = 15*y - 11*y - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -24592 and -24582 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16160.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1b5b4 (base 13) to base 8\nAnswer: 150730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27184 = 5*x - 45659, -a = 2*x - 29136. Suppose x = -12*b + 63875. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32353 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12) + (9 - (-156)\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-99)\/(-15))\/((-12)\/15)*-132. Suppose 2*u - 6*u = 3*f - 2133, -3*f = -2*u + n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17155 and 30034974.\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.3260792 and -37458.\nAnswer: -37461.3260792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2244*n - 2244*n + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*273.90386.\nAnswer: 547.80772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12874 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2. Let q(g) = 552478*g**2. Calculate q(n(v)).\nAnswer: 8839648*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290410)\/10280*(2*2)\/(17\/17)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*h = 0. Suppose -2*s - 13 + 5 = h. Suppose -6*j + j - 10 = 0. What is the biggest value in j, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 715*p - 2392*p - 1727*p to the form x*p + o and give x.\nAnswer: -3404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49609648 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -8515064454.\nAnswer: -8515064453.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85186 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 0*d**2 + d**2 - 33 + 33 + 2*d = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m + 5*m - 5*m + 5*m + 1. Let c(q) = -15*q - 7. Let r(g) = -8*g - 4. Let j(w) = 6*c(w) - 11*r(w). Let z(o) = -a(o) + j(o). Give z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 16*g + 88. Let r be z(-5). List the prime factors of 4\/(-16) + 2450\/r + 0.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -960, -962, -964, -966, -968, -970?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62.5 + 67.5. What is the nearest to 2\/5 in -10, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-532)*-4 + 462\/(-57)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1) + (0 - 1) + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -172776?\nAnswer: 17277a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 - 114. Let t(a) = a**2 + 3*a - 4. Let q(u) = 2*u**2 + 5*u - 8. Let w(c) = 3*q(c) - 7*t(c). Give w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -151. Let h = 129 - l. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**9))\/(s*s*s*s\/((s*s*s**(-5)*s*s)\/s)*s*s*s)*(s\/((s*s**(2\/5))\/s))\/s*s*s**(2\/11) assuming s is positive.\nAnswer: s**(98\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18392 + -18897.56. What is f rounded to 0 decimal places?\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12318517?\nAnswer: 19, 648343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71316, 71323, 71330, 71337?\n\"Answer: 7*y + 71309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 5\/(35\/2037).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 3300.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4 - -2) - -9. Suppose -20*z + 24 = -c*z. Find the second derivative of y**3 + 10*y**3 - 13*y**3 - 14*y**z + 11*y wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 56 = 6*t. Suppose 3*l - 95 = -5*m - t, l + 40 = 3*m. Suppose m*i + 1 - 1 = 0. Solve 3*r = 4*y + 14, i*y + 2 = -2*y + 4*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15.56603ml?\nAnswer: 0.01556603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12\/(-18)*9 + -34 - (15 + -23)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = 7*o + 336 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 2. Let w be ((-2)\/9)\/(2\/m). Which is the closest to w? (a) -0.2 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227\/((-153225)\/24570)*10\/(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*g - 13 - 8450 = 194*g + 6577 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 97.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = 3*u. Suppose -t = -2*v, -3*v - 10 = v + u*t. Let s(q) = -99*q**3 - 2*q**2 + 2. List the prime factors of s(v).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332 + -427150442\nAnswer: -427150774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/45 + 3\/((-15)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.9 and 0.2?\nAnswer: -6.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 a, and 2 p when four letters picked without replacement from {p: 5, n: 8, a: 7}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(75) + 0 + -1 - sqrt(75)) + sqrt(75) + (sqrt(75) + -1 + sqrt(75))*2))**2 + 0.\nAnswer: -1350*sqrt(3) + 16956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*l**2 - 36*j**3*l + 20*j**3 + 693*j - 2*l**2 wrt j.\nAnswer: 12*j*l**2 - 216*j*l + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 5 (c) -5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8560, -34196, -76924, -136744?\n\"Answer: -8546*z**2 + 2*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 807102503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8. Let w(c) = 21*c**2 - c + 10. Let m(v) = 14*v**2 - v + 7. Let n(f) = -7*m(f) + 5*w(f). Calculate n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 2\/7, -7, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(56\/3))\/(57*(-245)\/931)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 71\/142*(-304)\/(-2). Solve 47*k = 66*k + a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435648 divided by -22432?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3193 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -330 + 438. Calculate the remainder when 538 is divided by k.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-4.486.\nAnswer: 58.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 22 = 2*v, -3*s + 5*v = -20. Which is the nearest to -3? (a) 4 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.19 - 2. Let f = -0.19023 + b. Round f to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19987660 to the nearest ten thousand.\nAnswer: 19990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 s when four letters picked without replacement from rsgrsstts?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:24 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/6 - 33044*o - 11701057\/6 = 0 for o.\nAnswer: -59, 198323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 160\/140*9\/(-12)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 4 = 0. Suppose -4*b - a*r + 69 = -55, -5*b = -4*r - 168. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64003 (base 8) in base 5?\nAnswer: 1323002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 + 4.66. Let n = -10 + k. Let q be (-2)\/(-4) + 9\/(-6). Which is the biggest value? (a) 0.5 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33828 greater than -33828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74d - 1e?\nAnswer: -76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -26258605*x. Let n(t) = -18*t. What is d(n(s))?\nAnswer: 472654890*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb (base 12) to base 15.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - n + 1. Let b(v) = 4*v**2 + 6*v - 6. Let y = 4 - -2. What is y*c(s) + b(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.295 smaller than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*m + 8, -2*l - 15 = 3*m - 3. Is 12 + (l - -3)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -18*d - 9. Let f(u) = 7*u. Let q(i) = 40*i. Let a(t) = -6*f(t) + q(t). What is a(h(l))?\nAnswer: 36*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a - 6. Let p(m) = 23*m + 25. Let j(x) = -3*p(x) - 11*t(x). What is j(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*h - h, 4*j + h - 13 = 0. Let o be -1 + (-18)\/(-16) - 18\/144. Factor -s**5 + 2*s**2 - 228*s + o*s**2 - 2*s**j + 229*s.\nAnswer: -s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2334 + 2333.98. Let m = -0.02 - 3.98. Let y = 4 + m. Which is the second biggest value? (a) n (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and 59\/28761906.\nAnswer: 28761906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -1\/12*s**4 + 3*s**2 - 1\/6*s**3 + 0*s + 0. Give r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/((p**(-11)*p)\/p))\/((p*p**(-15)*p)\/p*p**(-4)) assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.27021 * 158.2\nAnswer: -42.747222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:45 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-5)**2 - 3*sqrt(1584).\nAnswer: -36*sqrt(11) + 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 6*p + g - 36 = 0, 51 = -5*p + 3*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28458658 or 28458657?\nAnswer: 28458657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**3 - 3*c**2 - 4*c - 10. What are the prime factors of m(-3)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1134226 - 752139. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -22. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**4 - 4*f**2 - f**4 - f**4)*(2 + 5 + 4) as a*f**2 + c*f + q*f**3 + l + h*f**4 and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2 - 2*b + 1 + 0 + b - 14*b**2. Let v(z) = 29*z**2 + 2*z + 2. Let k(a) = 3*v(a) + 5*y(a). List the prime factors of k(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205822493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55260, 110519, 165778, 221037, 276296, 331555?\n\"Answer: 55259*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410470432?\nAnswer: 2, 43, 298307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 4704616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262239 = -2*y - 4*b - 262313, -4*y - 84 = 4*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11270682\/241 - -46766. Let o = -29213\/2892 + m. What is the common denominator of o and (-3)\/(-12)*(-116)\/(-10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84644.71 millilitres in litres?\nAnswer: 84.64471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13737533399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -35.3. Let n = 3.2 - m. Let o = -9\/28 - -1\/14. What is the second smallest value in o, -0.03, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 15 = 2*q, 39*k = 108*q - 113*q + 162 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 14*f**3 - 34 + (f**2 - 3*f**2 + 5*f**2)*(-f - f - 6 + 5) as p*f**3 + o*f**2 + i*f + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1625865.9 and 22362.\nAnswer: 1648227.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s - 2. Let w be u(3). Suppose w = -2*l + l. Let a be -3*l\/6 - -3. Solve 2*b + j + 9 = 0, -a*b - 31 - 4 = 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u - 84*u - 31 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 + 509 = -6*p. Let x = 171 + p. Solve 2*q - 3*q = -2*l - x, -2*l - q = 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2. Let q(r) = 96*r + 205. Determine q(g(s)).\nAnswer: -96*s**2 + 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410117, -1640610, -3691477, -6562718?\nAnswer: -10254333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/210 + 104*o**5\/105 - o**4\/42 - 208*o**3\/21 - 3*o**2 + 5*o - 31. Factor c(t).\nAnswer: 4*(t - 1)*(t + 1)*(t + 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*2\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1682 = -11*y + 10*y. Let t = 5181 - y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.8 - -16.74. Let r = -0.3 + 0.1. Is r greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -620340 (base 7) to base 3\nAnswer: -12101011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3 and 29\/43254.\nAnswer: 43254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16b5 + 2?\nAnswer: 16b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 10. Let s be g(-8). Let p be 6\/9*(-63)\/s. Find the third derivative of -44 - p*f**4 + 44 - 4*f**2 wrt f.\nAnswer: -168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*d = -8, -276*r = -277*r + 3*d - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 91*t**2 + 23*t - 4. Let c be x(-1). What is the highest common divisor of c and 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 10190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*n - 33*n**5 - 4030 + 4030 wrt n?\nAnswer: -660*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - k**2 - 2*k + 1. Let f(i) = 13*i**3 + 4*i - 9. Let x(n) = -13*n**3 - n**2 - 5*n + 8. Let z(q) = -4*f(q) - 5*x(q). Give -18*v(g) - 4*z(g).\nAnswer: 2*g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 59 (b) -1 (c) 4\/11 (d) 112 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21167922 and 1746?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*n - 35*n - 17*n)*(22*n**3 - 2*n**2 - 8*n**3 + 46*n**3) + n**3 + n**4 - n**3 in the form q*n**4 + j*n + a*n**3 + f*n**2 + m and give q.\nAnswer: -3719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, -2, 42, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31212123311 (base 4) in base 3?\nAnswer: -20201010200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*u + 2*u. Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57\/5 of a tonne?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + -4 + (10 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-2\/11))\/w)\/(w**(-1\/8)\/w)*((w**(-2)*w)\/w)**(5\/6))\/(((w**(-5)*w)\/((w\/w**(-3\/5))\/w))\/(w**(-3)*w*w\/w**(-6))) assuming w is positive.\nAnswer: w**(13037\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -27*v**2 - 13*v**3 + 7*v - 6 - v**5 - 1 + 34*v**2. Let r(n) = 4*n**3 - 2*n**2 - 2*n + 2. Let q(t) = -2*m(t) - 7*r(t). Solve q(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43642.24 litres to millilitres.\nAnswer: 43642240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9013 = -2*d - v, -3*d = v - 3*v - 13523. List the prime factors of d.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -147*x**4 - 14*x**3 + 3968*x**2\/3 + 126*x + 3 = 0.\nAnswer: -3, -1\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14*1\/((-5)\/5). Let v be (7\/s)\/(2\/260). Let g be (-12)\/78 + 49\/v. Does g = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*a**2 + 155*a**2 + 71*a**2.\nAnswer: 155*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12090597*i**5 - 1344952*i**2 - 2*i wrt i?\nAnswer: -725435820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 268 = 18*m. Let j be m\/(-26) - 16\/104. Solve 0 = j*a + 10, 3*a + 14 - 3 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12884 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: Solve -12*b**3 - 52*b**2 = 0.\nAnswer: -13\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.4, -35\/9, 20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -7. Suppose 8*h - 6*h - 20 = 0. Let m(o) = -o**3 + 11*o**2 - 9*o - 1. Let r be m(h). Solve f + j = -3*j - r, -4*f = 2*j + i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10299812 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 917.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + -1*sqrt(11))**2 + (sqrt(99) + 2)**2 + sqrt(11) + 5.\nAnswer: 13*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 16, 38, 86?\n\"Answer: 13*r**2 - 43*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2667\/10636 + 2\/2659. Which is the closest to -1? (a) v (b) -1\/6 (c) -2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*p + 1622*m - 1623*m, 0 = 8*p + 8*m - 48 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.847627105 and -9.\nAnswer: 3.847627105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**20)\/n)\/(n\/(n**24*n)) assuming n is positive.\nAnswer: n**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 23292 = -16174. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*(2 + -8) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -868 divided by 28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from rxrdrdrfdxsfrdb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 2, c: 4, v: 1, m: 4, h: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(88)\/sqrt(8)*2)*-5)\/(((sqrt(720)*2 + sqrt(720))\/sqrt(12))\/(sqrt(10) - (sqrt(810) + -2*sqrt(810)))).\nAnswer: -25*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - 3*d**2 - 2*d**2)*(2*d + 2 - 2) - 16*d + 11*d + 5*d**2 - d**3 + 4*d to m*d**2 + p + l*d**3 + b*d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13334453 (base 8) to base 3\nAnswer: -12122020110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -10174, 7 in descending order.\nAnswer: 7, -60, -10174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + 4. Let t = 20 - p. Suppose t = -s + x + 1, -4*x + 6 = 2*s - 2*x. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120201110100 (base 3) to base 12\nAnswer: -12b099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(100\/8)*220\/132?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 4*c**2 - 2*c + 4. Let d(h) be the third derivative of 0 + 0*h - 1\/60*h**5 + 2*h**3 - 1\/3*h**4 + h**2. Let q be d(-9). Calculate n(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33357 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.504786 months in centuries?\nAnswer: 0.005420655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3495327 divided by 363.\nAnswer: 9629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-51)*(28 + -61) + -3?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 2*a - 3. Let m be b(2). Suppose 5*p + 0*p = 0. Suppose p = -0*y - m*y + 45. What is the remainder when 25 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/64428 and 57\/31780.\nAnswer: 73125780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 + 0*j**5 + 0*j**4 + 0*j**6 - 11\/2*j**3 + 0*j**2 - 11\/14*j**7 - 12*j. What is the second derivative of f(u) wrt u?\nAnswer: -660*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (0\/(-1) - 4) - 20. Let p = h - 9. Let y be (-6 - 0)\/(p\/8 + 2). Solve 0 = -y*g + 12, 2*n - 5*g + 24 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f - 48 = 200. Solve -2*r = w + 4, -f = 4*w + 5*r - r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14995*g**4 - 33*g**2 + 23*g + 1 wrt g.\nAnswer: -359880*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1122604606 + -1.\nAnswer: 1122604605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65093 = 2*r - 135987. Is r\/66 - (-1)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45508, 45530, 45552, 45574, 45596?\n\"Answer: 22*t + 45486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347540623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4037 and 1151986.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127419021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6203 - -6419. Put 0, -5, q in increasing order.\nAnswer: -5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 144822343*k**4 - 59729648*k wrt k?\nAnswer: 1737868116*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) 48 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 113, 669, 1243, 1835, 2445?\n\"Answer: 9*i**2 + 529*i - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 6*v**2 - 6*v + 1. Suppose 0 = -8*x + 17*x - 234. Suppose -6*w + 4 = -x. Determine b(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 3:00 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*(-1 + sqrt(1088))*5 + -3)*6)**2.\nAnswer: -466560*sqrt(17) + 35277444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45784187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9094728 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 292, 1689 in ascending order.\nAnswer: 5, 292, 1689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)**(-35)*((b\/(b\/b**(-2\/11)))\/b)\/(b\/(b*b*b**(-6))))\/((b**(-1))**(-8\/17)*b\/(b*b*b*b**(-4\/3)*b)*b**(2\/19)) assuming b is positive.\nAnswer: b**(318800\/10659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n + 11. Let h = -8 + 26. What is the remainder when r(0) is divided by 112\/h + (-6)\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, -29, -83, -175, -317, -521, -799?\n\"Answer: -2*c**3 - c**2 - 11*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 32*q**2 + 276*q + 119. What is a(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -51, -4, 3, -78 in decreasing order.\nAnswer: 3, -1, -4, -51, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 + 46. Suppose h + 2 = -0. Let u be h + 3*4\/6. Is l(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*i - i - 4*i)*(i - 1 + 1).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-19)\/((-9386)\/13))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76969, -76860, -76745, -76624, -76497, -76364, -76225?\n\"Answer: 3*u**2 + 100*u - 77072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -0.5, 12\/275 in decreasing order.\nAnswer: 0.25, 12\/275, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwnnwiawininj. Give prob of sequence ij.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 7*h + 374 - 123 - 127.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 62, 121, 204, 317, 466?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-7) - (2533\/(-85) - -8)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 217902*t**3 - 1307331*t**2 + 1960956*t.\nAnswer: -3*t*(t - 72628)*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 7. Let q be a(5). Suppose -4*f - d = -78, 2*f = 4*d - 10*d + 72. Solve -b + f = q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*p**2 - 14*p**3 - 4*p**2 - 2*p**2 wrt p?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(39)\/sqrt(3) + sqrt(13))*-2 - (sqrt(468)\/sqrt(4) - (sqrt(1872) + -1 + sqrt(1872) - sqrt(1872))).\nAnswer: -1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*l**2\/4 - 2517*l - 34335\/4 = 0 for l.\nAnswer: -109\/33, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588*v = 558*v + 26490. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let t(n) = 1 - 402*n**2 + 4*n + 7 - 539*n**2 + 52*n**w. Let g be t(4). What is g rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 104*g**2 - g + 11. Let w be u(-52). Let q = -8 + 12. What is the third derivative of 7*f**4 + w*f**2 - 20*f**2 - 3*f**4 + 36*f**q wrt f?\nAnswer: 960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(13) - 2*sqrt(637))).\nAnswer: -15 + 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9695*h - 1027655. Determine r(106).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1224) + (sqrt(1224) - (sqrt(1224) - -1*sqrt(1224))*1))\/(-2*(sqrt(32)*1 + sqrt(2))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.465355001 to four dps.\nAnswer: 10.4654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 0*p**2 + p**2 + (0 + 10 - 3)*(4*p - 4*p - p**2) - 464*p + 464*p + 101*p**2 + 1 - 4*p**2 + 1 + 7*p**2 to t*p + u*p**2 + a and give u.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.055 to 0 dps.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-20) - (0 - (-12)\/(-5)). Sort d, 0.2, -4, 0.27 in descending order.\nAnswer: d, 0.27, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + g + 7 = -0*g, 0 = 4*k + 4*g + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -6 - (181 + -195 + (4 - 1) + 7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*(17 - 10 - 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 96.02\nAnswer: 17.2836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let g(c) = -2 + h + 1. Let d(w) = -146 - 67*w + 49*w + 19*w + 140. Calculate -3*d(m) - 6*g(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 8*m**2 + 2*m - 11. Let l be x(8). Let w = -11968 + 11970. Solve l*r - 10 = k + w*r, 5*r = 4*k + 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**3 - 45*h**2 - 5*h - 25. Let y(q) = -10*q**3 + 36*q**2 + 2*q + 25. Give -4*w(u) - 5*y(u).\nAnswer: 6*u**3 + 10*u - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53898100\/13 or 4146008?\nAnswer: 4146008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) -3 (c) -5 (d) 5\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -102 - 213. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {l: 7, j: 8, x: 5}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 39*f**2 - 38*f - 24. Let l be m(-38). Let a(c) = -c - 30. Calculate a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 24. Let m(d) = -d - 1. Let q(y) = -c(y) + 3*m(y). Does 35 divide q(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*c**3*q**2 - 363*c**3*q - 216981*c**2*q**2 - 2*c**2 - c*q**2 - 3860 wrt q?\nAnswer: -50*c**3 - 433962*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -1\/30*b**6 + 0 + 1\/30*b**5 - 1\/12*b**4 + 0*b + 1\/6*b**3 - 6*b**2. What is l(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4 + 2 + d + 7. Let c be q(7). Solve -x + 7 = 4*j - 3*j, c = 4*j - 4*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.7068 from -1.6787.\nAnswer: 3.0281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 468979 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 52313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 0*g - 3 + 1 + 11 = 4*g - 11, -3*a + 6*g - 30 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -589 divided by -16\nAnswer: 589\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/11 and 115*3\/(-18) - 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-7*3\/(-42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrkrkrllllklrlkllll. Give prob of picking 2 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 5165 = -1927. Suppose 3*p = 6*c - 2*c + 892, 2*p = -c + y. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4202700*i*p**2 - 23*i*p + p**2 + 209571*p - 8 wrt p.\nAnswer: 8405400*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 28. Calculate the highest common divisor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 42. Let w = -52 - -31. Let k be h(w). Sort k, -5, 3.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 10310232?\nAnswer: 10310242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 985\/21. Let f(t) be the first derivative of -w*t**3 + 1 - 32\/7*t - 8\/7*t**2. Let f(g) = 0. What is g?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-770)\/(-3) + 7 - 8\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 4, p: 3, y: 4, o: 7, x: 1}. What is prob of sequence zo?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28677.3 - 28677. Let i = -4 + 3.6. Let h be (-2)\/(-3)*9\/60. Sort u, h, i in descending order.\nAnswer: u, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -162*g - 161*g - 152*g + 482*g. Let o(s) = -12*s**2. Calculate o(y(h)).\nAnswer: -588*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-30)\/w**(-3\/5)*(w\/(w\/w**(-1\/23)))**22)**22 assuming w is positive.\nAnswer: w**(-76802\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23815.981 + -23793. Let u = 23 - r. Let g = u + -0.01795. Round g to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, t: 2, b: 2, y: 4}. What is prob of picking 1 y, 1 t, and 2 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -225*k**2 + 1351*k. Let q be y(6). Let g(o) be the third derivative of -1\/30*o**q + 2\/3*o**3 + 0*o + 0 - 1\/15*o**5 - 12*o**2 + 1\/6*o**4. Factor g(m).\nAnswer: -4*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -235. What is the lowest common multiple of i and 5?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 17, 2, 63, 1.\nAnswer: -130, 1, 2, 17, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhzixhierixhxhhxz. What is prob of picking 1 z, 1 r, and 1 x?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.88*4.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 263 + 117 - 32. Let l(o) = 2*o**3 + o**2 + 4*o - 4. What is the remainder when l(4) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*u - 13*u - 68*u - 2*u + 2*u + u + (0 + 0 + 2)*(-5*u + 2*u + 4*u) + u - 2*u + 0*u.\nAnswer: -56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33330 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 699 = 581. Let x = -3604 - -3349. Do j and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/63 + 61\/126. Put -0.12, 0.3, w in decreasing order.\nAnswer: w, 0.3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrisrrmrrmir. What is prob of picking 1 i and 1 r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 v when three letters picked without replacement from {v: 8, x: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20136 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5011\/336530 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 8:17 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3064, 3336, 3612, 3892, 4176?\n\"Answer: 2*v**2 + 266*v + 2796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2554 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4390 is divided by 183.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 287035.5 rounded to the nearest one hundred?\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -72, 2\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 1. Let v = 3 + -6. Suppose -3*m + 5 = 2*d, -m = 2*m - 2*d - 25. Let g(t) = -14*t - m + 2 + 9*t. Determine v*g(y) - 7*o(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 2 + 0 + 2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 12288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:27 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -801.405499 to the nearest integer.\nAnswer: -801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 7, 18, 43, 88, 159, 262?\n\"Answer: j**3 - 2*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 10:26 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3\/6 - 20*o**2 + 4*o. Let a be t(0). Let x = 43 - a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/4*2 + -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -21. What is the remainder when 28 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nntt when four letters picked without replacement from ttntnnnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 6) to base 11.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-13 - (-2829)\/(-15))\/((-2)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 310*b + 27. Let r be f(4). Let v = r - 326. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1.9 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23804 = 309*c - 13298 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 2*l, 0 = -3*q + 3*l + 12. Let i(x) be the third derivative of -1\/24*x**4 + 1\/60*x**5 - 1\/6*x**3 + 0 - x**2 + 0*x - 1\/30*x**6. What is i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-5)\/10))\/((-16)\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**2 - 2*f + 19. Determine m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-184)\/12*6\/(-4). Suppose -4*n + b = -5*n + v, 0 = -n - 5*b + 15. Solve c + 3*q - 10 - 10 = 0, 0 = -3*c - 2*q + n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 + 4*n - 2. Let d be g(2). Suppose -3*o + 5*i + 19 = -2*o, -d*i - 10 = -o. Suppose 2*b + 0*b - o = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85)*1 - sqrt(85))*-4)\/((sqrt(5) - ((sqrt(605) - (-1*sqrt(605) + sqrt(605))) + sqrt(605) + sqrt(5))) + sqrt(40)\/(sqrt(16)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857221 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618 = 4*g + 642 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.27 rounded to 0 dps?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0.4, 1.44, 2, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6553277347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 0, 2*l = -2*g + 15 + 13. Let o be (13 - l)\/((-1)\/7). Factor -4*n**3 + o*n**3 + n + n - 5*n.\nAnswer: 3*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1068 + 1195. Calculate the remainder when i is divided by 61\/3 - (-2)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5651, 45154, 152397, 361256, 705607, 1219326, 1936289?\nAnswer: 2890372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 121*2*197\/(-28762)*73\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 37 = 5*k, 2*m + 4*k - 33 = -19. Let d be 5\/(-15) + 6\/(-9). Put d, 4, m in descending order.\nAnswer: 4, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*k - 0*h - 20, k - 16 = -3*h. What is the least common multiple of (-2)\/4*-30*(k - 2) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179 - -105. Let p = m - -74.037. Let t = p - 0.183. What is t rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*p + 137*p - 4400 = 98*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 7*y**2 + 6*y + 1. Suppose 3*z - 27 = -9. Suppose -z*n + 5 + 37 = 0. Let r(q) = -q**2 + 2*q + 41. Let c be r(n). Calculate h(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 216\/126*(-17)\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-4 + -3*(sqrt(396)*1*-5 + 0)).\nAnswer: -360*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + n**2 + n - 1. Let p be c(1). Let i(s) be the second derivative of -1\/4*s**2 - s + 1\/24*s**4 + 0*s**p + 0. Let i(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 2*n + 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 - (0 + -1)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Let w be (6\/m)\/(12\/40). Find the second derivative of w*l**5 + 0*l**5 - 3*l + 0*l**5 wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -209, 4, 2 in descending order.\nAnswer: 5, 4, 3, 2, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77520 - 82727 = -37*o + 1009989. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1332321 (base 6) to base 11\nAnswer: 50a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 - -4 - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from cookkkookkkcc?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 75. Solve -3*r + a = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4001, -5821, -7641, -9461?\nAnswer: -11281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*r + 57 = -2*f + 1168*r, 8*f + 2*r = -278 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 - 5*g - 4. What is j(5)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 5)*(-66)\/(-12). Suppose -f + k*f = 930. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/4 + 33*h**4\/4 + 225*h**3\/4 + 351*h**2\/4 = 0.\nAnswer: -3, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1194 - -5485. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + r + 1)*(16*r**2 + 16*r**2 - 13*r**2) + (4*r + 2*r**2 - 4*r)*(-3*r + 3 - 3) to the form t*r**3 + v + m*r**2 + b*r and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 59.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 93712 and 0.5.\nAnswer: 46856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*x = -8, 5*i + 5*x + 700 - 705 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 + 16*j**2 - 16. Let i(z) = z**3 - 3*z**2 + 3. Determine 3*f(w) + 16*i(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 14. Suppose w + g*d - 241 = 0, -253 = -2*w + w + 2*d. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1068 + -7.7068. Round b to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403893 is divided by 18232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 4*z - 0*z, -5*b + 21 = 2*z. Suppose 309 = z*q - 4*d - 107, -4*d = 20. Suppose 10*h**2 - h**2 - q - 12 + 48*h - 13*h**2 = 0. Calculate h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -160, -158, -146, -118, -68?\n\"Answer: c**3 - c**2 - 2*c - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 - 3*d + 3. Let o(b) = -25*b - 194. Let s be o(-8). Let v(f) = 21*f**2 + 13*f - 13. Calculate s*v(y) + 26*a(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3668*u = 3673*u - 7, 4*s + u = 19. Let a(q) = -q. Let y be a(-1). Let n(i) = -1 + 3*i + i**2 - y - 4*i. Determine n(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v - 3 - 24 - 564*v**2 + 565*v**2 to p + f*v + z*v**2 and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:38 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(17 + 18 - 8*c - 33).\nAnswer: 8*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000005155 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3516, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/9 - 33628*t**2\/9 + 1473824*t\/9 - 16190768\/9.\nAnswer: 4*(t - 8363)*(t - 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:49 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 118333571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 1, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1591100 and -0.05.\nAnswer: 79555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*n - 5 = -6*u, 2*n = u + 1. Let f(y) = -y**3 + 7*y**2 + 3*y + 2. What is the tens digit of f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/((6\/27)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 12*a**2 + 147\/40*a**5 + 0 - 343\/240*a**6 - 63\/16*a**4 + 0*a + 9\/4*a**3. Find h, given that x(h) = 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170235 + 0*g - 18*g - 170235.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -23*a - 105. Let f be q(-13). Let u = f + -184. Solve -c = -3*m - u, -5*c - 12 = 2*m + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5513 divided by 5513.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 825\/110 - 66\/12. Let w(d) be the first derivative of 9\/5*d**5 - 10*d + 0*d**o + 0*d**3 - 22 + 0*d**4. What is the derivative of w(r) wrt r?\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -57*t**4 - 5*t**2 + 5*t - 15. Let j(l) = 28*l**4 + 2*l**2 - 2*l + 7. Let c(b) = 5*j(b) + 2*o(b). Find the first derivative of c(s) wrt s.\nAnswer: 104*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (53 - 1 - 17) + -2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/((-111)\/(4440\/1600))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/6 + 7*p**2\/2 - 6*p. What is x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61610.28 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54057 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 74) + -44 + (30 - -7) - 8.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-5)*2 + (-3)\/15. Is 27\/4 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*c**2*l*w**2 - c**2*l*w - c**2*l + c**2*w**2 - 40*c*l*w**2 - 39*w + 4 wrt w?\nAnswer: 102*c**2*l + 2*c**2 - 80*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1127)\/322*8\/126?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*f + 0 + 9 = 0, 0 = -2*q + 5*f + 5. Let h be 0 + q + 376\/(-94). Let l be (-1*1)\/((-5)\/(-25)). Sort l, h, 7 in increasing order.\nAnswer: l, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-3) + 7*(-2)\/(-21). Suppose 4*z - f + 4 - 2 = 0, -z - b*f = -10. Is 2\/479 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(2 + 8\/(-6)). Let k be (1*(-4)\/16)\/l. Sort 2\/5, k, 3\/2 in increasing order.\nAnswer: k, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (159\/9 + 0)\/(2\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 4*w**2 - 15*w - 34. Is h(10) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1797103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m + 3*m + 2*m)*(-38*m - 3 + 41*m + 58*m) + 7*m + 4*m**2 - 7*m to v*m + c + l*m**2 and give l.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5308, -5384, -5380, -5254, -4964, -4468?\n\"Answer: 7*y**3 - 2*y**2 - 119*y - 5194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 620, 749?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5920 and -151\/6744.\nAnswer: 4990560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24797*b**3*o - 70*b**2*o**3 + 10*b**2 - 294*b*o**3 + 93*b*o + 10*o**2 wrt b?\nAnswer: -148782*b*o - 140*o**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -134a - -1e?\nAnswer: -132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-10))\/(3\/(-6)). Let s = 1.2 - 0.2. Let o = s - 1.4. What is the nearest to 0 in o, z, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:56 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + -7. Let i = h - -104. Which is the nearest to -2\/9? (a) -1 (b) 2\/39 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Which is the biggest value? (a) y (b) 9 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/50400 and 179\/875700.\nAnswer: 7005600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 843?\nAnswer: 13\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 + 27024*l\/13 - 2895264\/13.\nAnswer: -2*(l - 13404)*(l - 108)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*(3*f + 0*f - f)*(-253 - 116 - 496) as p*f + s and give p.\nAnswer: -3460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402 + 72 = -2*o. Suppose -27*l + 30*l + o = 0. Let k = l - -58. Let r(j) = -2*j - 2. Determine r(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let h be 175\/v + 3\/(-6). Suppose h + 263 = g. What is g rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(2\/(-42)). What is the smallest common multiple of 1 and (-22)\/8*(3 - x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25548, 51125, 76750, 102417, 128120?\nAnswer: 153853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19378898 to the nearest 100000.\nAnswer: -19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 2*(-31761)\/(-42) - (4 + (-200)\/56).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 47 - 26 - (-3 - 0 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 164?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = 0. Suppose k*c + 9 = -c. Let y = 47 + c. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 768371744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 + 12?\nAnswer: 11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 556355571 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-3) - 175\/(-525)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10\/7 (b) -0.5 (c) -34 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-12) + (-12)\/18. Let f(i) be the third derivative of -1\/80*i**5 + x*i - 2*i**2 + 0*i**4 + 0 + 1\/8*i**3. Determine k so that f(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 + 304. Let w be 1\/3*z\/(-54)*0. Which is the smallest value? (a) -0.5 (b) -1 (c) 17 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*d - 43, -32*w + 36*w + 4*d = -4. Solve -5*u + 5*o - 35 = 0, 6*u = u - w*o - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 2, a: 4, v: 2}. Give prob of picking 2 a and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706392?\nAnswer: 2, 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1060658?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324 divided by -2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28556)\/(-110) + 2\/5. Suppose 4 = -4*l, l - f = -7*u + 4*u. Solve u = t + 84 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.42897364 rounded to three decimal places?\nAnswer: 3.429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 233*i. Let v(x) = -2095*x. Let q(d) = -18*t(d) - 2*v(d). Let k(g) = -3*g. Suppose 5*p + 16 = -3*z, 2*z - 6 = 2*p + 3*p. Determine p*k(m) + 3*q(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 99 = 171 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 minus -1.3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than or equal to -23770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {p: 1, l: 4, b: 1, h: 11}?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 4, a: 4, u: 7, d: 1}. Give prob of picking 1 d and 2 u.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h + 14*h + 7819973 - 38310399 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*p - 56, w - 3*p - 37 = -6. Let h be 10\/15 - w\/6. What is the units digit of ((-2 - -2) + -1)*h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 509191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(1451\/(-66) - (37 + -81 + 22)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 9:25 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2132827 is divided by 160.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170.8 - -170. Let b = -11.4 - -11. What is the closest to t in -1, 0.2, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 936*p**2 + 24*p + 8. Let h be z(-11). Round h to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/18 + 2\/3*(-32)\/(-128). Let j(f) be the second derivative of q*f**2 + 1\/6*f**6 - 5\/3*f**3 - 4*f - f**5 + 25\/12*f**4 + 0. Factor j(u).\nAnswer: 5*u*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 178, 688, 1538, 2728, 4258?\n\"Answer: 170*c**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*l + 110, 0 - 135 = -5*f + 3*l. Calculate the highest common divisor of f and 810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 10) + 3 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -7. Let q(p) be the first derivative of -p**6\/180 - 7*p**5\/120 - 5*p**4\/24 - 5*p**3\/3 - 1. Let j(n) be the third derivative of q(n). Give j(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19583*t**3 - 9807*t**3 - 9836*t**3.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y**2\/7 - 271*y\/7 + 6 = 0. Calculate y.\nAnswer: -21, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169022609 or -169022610?\nAnswer: -169022609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -4 (c) -114\/11 (d) 0.1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 17 = -5*j + 6, 3*x = -4*j - 25. Let k be (-2)\/3*6\/j. Let s be (k - 1) + 8\/(-20). Sort 2\/7, s, 1\/5 in ascending order.\nAnswer: s, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 0*r + 4*r + (-1 + 1 - 2)*(r - 5*r + 2*r) - 1 - r + 1 + 62*r - 130*r + 66*r + 1 + r - 1 + 11*r + 70 - 70 + (-2*r - 1 + 1)*(-2 - 3 + 3) - 2 - r + 2.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.94174 decades?\nAnswer: 19.4174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j + 21. Calculate i(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 348.26679ns?\nAnswer: 0.000000000004030865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - u = 2*u + 300, -3*v = 3*u - 324. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 10:08 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3 - 4. Let n = -0.23 - -0.05. Let k = f + n. What is k rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1818*k**2 + 1775*k wrt k.\nAnswer: -3636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 6*b - 2. Let i be v(-3). Let d = -4 - i. Let q = 51 + d. Calculate the highest common divisor of q and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1103025 (base 8) to base 7\nAnswer: -2343225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -105\/4. Let l(b) = -2*b**2 + 3*b - 3. Let h be l(2). Let m be 5 - (0\/(-1) - -2). What is the nearest to 0 in n, h, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996817986?\nAnswer: 2, 3313, 301361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 88*q + 914. Let a be y(-76). Let v(s) = 4*s + 9. Give v(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 25 - 169 = 0. Suppose -4*p + 180 = -5*a - 0*a, -z = a + 2*p. Let u be a\/((3\/(-12))\/1). What is the greatest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/5 - 4*s**2\/5 + 5*s + 28\/5 = 0.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 833 + -729. Solve -10*k - h = -64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzz when three letters picked without replacement from zzzzzhzzzozzzzzzo?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -856, -6485, -21666, -51175, -99788?\nAnswer: -172281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 154*r + 119. Let n(g) = 46*g + 36. Let u(l) = -7*h(l) + 23*n(l). What is u(2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-5)*(-21)\/(-6)*(-5208)\/(-744)\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 0 - 4 + 7 - 4. Let p be k(-3). Solve -p*w - 18 = 4*r, -12 = 2*w + 5*r + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiu when three letters picked without replacement from eeeuiceieueaee?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 970382681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 2772.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82783.\nAnswer: 19, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 194*x + 10474. Determine s(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - 5*s - s)*(4 - 1 - 4)*(-1 - 2 + 2)*(218*s**3 - 165*s**3 - 51 + 40) in the form b*s**4 + x*s**3 + w + f*s**2 + i*s and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(6)*-1*3)\/(-1*(sqrt(16)\/sqrt(128) - sqrt(2))))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:48 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 + 10 - 9 - 1.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -477421560.94 + -1\nAnswer: -477421561.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.28 + -0.28. Which is bigger: 9 or m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*r = -32, -r = -5*f - 6*r + 85. Suppose -g = f*g - 418. Calculate the highest common divisor of 297 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/33149 or -1?\nAnswer: 1\/33149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 1 + 1 + (-56 + 39 + 29)*(-3*s + 2*s - 2*s)*(-3 + 6 + 0).\nAnswer: -109*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woww when four letters picked without replacement from wowow?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -46. Suppose g = -2*b - 5 + 11. Suppose 10766 = -4*a - 0*a - b*y, -5*a + 5*y = 13440. Round a to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**4\/4 + 17*k**3\/3 - 23*k**2\/2 - 13*k + 10. Is n(-18) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -619\/2 - -301. Let p = 321 + -769. Let z = p + 448. Which is bigger: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 35. Let t(q) = q**2. Let w(l) = 2*l**2 + l + 2. Let j(v) = z*w(v) + 3*t(v). List the prime factors of j(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 1 - 1)*(-1 - 7 + 3)*(140*g + 54*g - 57*g).\nAnswer: 2055*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -434? (a) -0.2 (b) -5\/12 (c) -1 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2cb8 (base 14) to base 4\nAnswer: 1331002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3455*t - 3458*t - 3467*t - 3481*t + 13878*t.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 - 68*g**2 + 2 + 26*g**2 + 11*g**2.\nAnswer: -46*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*g - 24*g - 18*g to the form i + b*g and give b.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 32, -24, -3 in decreasing order.\nAnswer: 32, 18, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.31 in -2, 502, 1\/651?\nAnswer: 1\/651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(3222524\/2506364 - 2\/7 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -4626247\nAnswer: -102\/4626247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*u + 56235 - 56991 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -269.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from aaayhyhyhhh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -637, 0, 2 in decreasing order.\nAnswer: 2, 0, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 3, m: 1, x: 1}. Give prob of sequence xnm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 11:28 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1023)\/15 + -3)*(-105)\/14. Calculate the common denominator of (129\/(-4))\/(14 - -1) and (2\/72)\/(3\/j).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 29 - 129. Factor -r - 4*g**2 - g - 34*g - 5*g.\nAnswer: -4*(g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 11*y + 4. Let v(o) = 2*o + 1. Let h(f) = -r(f) + 6*v(f). Determine h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6198933?\nAnswer: 3, 13, 53, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 109\/6. Let i = -3 - -3.4. Let t = -0.7 + i. Put t, h, -5 in descending order.\nAnswer: h, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-22)\/z)\/(z**(-1)\/z))\/(z**(-22\/5)\/(z*z**(5\/12))) assuming z is positive.\nAnswer: z**(-911\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -30, -164, -436, -894, -1586, -2560, -3864?\nAnswer: -5546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 273*u**2 - 1387*u - 16669. Calculate k(-141).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932*i = 928*i + 16. Suppose 0*d + 1470 = 5*x - 5*d, 0 = i*x + 5*d - 1185. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79\/52 - -10\/13. Let o = -119 - -115.94. Let c = o + 0.06. Sort c, m, 4 in descending order.\nAnswer: 4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 14*b**2 - 15. Let v(y) = 2*y**3 - 106*y**2 + 108*y - 194. Let u be v(52). Give z(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-5 - (6 - 27)) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12812.974 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000 (base 2) to base 5.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 1:57 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421*f + 1960 = 423*f. What is f rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.62007 and -0.238539146.\nAnswer: -13.858609146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7995 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 2. Suppose 5*t - 1 = 4. Let d be (t + -21)*2\/(-8). Let b be o(d). What is the highest common factor of 8 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20231284.7 to the nearest 100000.\nAnswer: 20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18259039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 3*n - 4. Let x be 6\/(-14) + (-25)\/140*-8. What is the remainder when 20 is divided by r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 117192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558127013?\nAnswer: 558127013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3387 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*b - 2108 + 2015, -355 = -5*k - 3*b. Solve -k = -c - 61 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.03 and -0.8.\nAnswer: -8.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2\/4 - 68837245*l\/4 - 17209310.\nAnswer: -5*(l + 1)*(l + 13767448)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 932380 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 18. Let v = b + 58. Let o(d) = -47*d + v*d + 18*d + 14*d. Let j(w) = -37*w**2 + 2*w. What is j(o(a))?\nAnswer: -148*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5*q**2 - 1\/600*q**6 - 1\/60*q**5 + 0*q + 8 - 2\/15*q**3 - 1\/15*q**4. Let i(v) be the second derivative of r(v). Factor i(d).\nAnswer: -(d + 1)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 705342*o - 5642739. What is y(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54504.27 micrograms to milligrams.\nAnswer: 54.50427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*c + 37029, -30*g + 18514 = -29*g + c. List the prime factors of g.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1042 divide 436531312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h**2 - h. Let y(o) = -3*o**3 + o**2 + 5*o. Give -i(x) + y(x).\nAnswer: -2*x**3 + 2*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -3 (b) 1 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10353211 (base 6) to base 8\nAnswer: 1136307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*q - 5*q. Let v = -4 + q. Suppose v = -3*t - 2*h + 108, 2*t + 0*t + 2*h = 74. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.53 + 0.03. Let o = 6\/11 + -8\/55. Let g(s) = 2*s - 1. Let d be g(-1). What is the second smallest value in d, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -33 - -1 - ((396 - 193) + -192)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 9 (b) 0 (c) -1.7 (d) -405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = -3*t. Let d = 1 - t. Solve -n = -d*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 14*g**2 - 49)*(15 - g**3 - 23 + 12).\nAnswer: 14*g**5 - 56*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*k - 183, 0*z = -5*k + 3*z - 339. Is (-869)\/k - (-2)\/(-12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058352201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1.5, -0.16, 19, 10, 1\/4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 54 + 54)*(0*a - 2*a + 0*a + (-1 + 4 - 4)*(14*a + 14*a + 81*a)).\nAnswer: -333*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*o*t*v - o*t - 4*o*v**2 + 8*o - 176*t*v - 4171*t wrt v.\nAnswer: 11*o*t - 8*o*v - 176*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73906927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -328*d - 3 - 22*d + 3 + 20*d to the form g + t*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 108357*n. Let k(b) = 5188*b**2. What is q(k(o))?\nAnswer: 562156116*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 3*h + 387, -4*j + 3*h - 511 = 0. Suppose c - 32 = -3*c. Is (j\/c)\/(1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 - (-7 + 6)) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/23 (b) 4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*k + 934 - 467 - 467 - 373*k + 2*k**2.\nAnswer: 2*k**2 + 51*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(35\/210)\/((-1)\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v. Let m(i) = -i**2 + 15*i + 2. Let l be m(15). Let a(c) = 4*c**2 + c**2 + 0*c**2 - 6*c**l. What is u(a(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**3 - 2*q - 1. Let c be y(-1). Suppose -3*b = -s + 1 + 5, -4*s - b + 11 = 0. Sort -5, s, c in ascending order.\nAnswer: -5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 794?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78 or -77?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-6))\/((-60)\/(-332)) and (-130)\/10 + 11 + (-164)\/(-168)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*f + 20 = -201*f + 4*n, n - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y + 6*y + 19*y)*(-2*y**3 + 4 - 4).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1481\/30 - -99\/2. Let m be -2 + (-2)\/6 + 2. What is the third smallest value in -0.5, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0\/t**(-7)*(t*t*t*t**0)**(-2)*(((t**(-2\/11)\/t)\/t*t)\/t)\/t*t*t**(-6)*(t*t**(1\/9))\/(t*t**(6\/11)) assuming t is positive.\nAnswer: t**(-754\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 10*k**2 + 9*k + 7. Let n be p(-12). Let r = n + -60. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 80. Let r(v) = -22*v. Determine r(t(a)).\nAnswer: 44*a + 1760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b + 5*z + 25 = -80*b, 3*z = 55*b + z + 257 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5487 + -157?\nAnswer: -162.5487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -10 - (-2 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.61 - 14. Let o = n + 0.4. Let t be 225\/(-81) - -5*(-8)\/180. Which is the closest to 1\/3? (a) -2\/3 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o**2 - 499*o - 13. Let j(c) = 2*c**2 + 6*c + 2. Determine h(f) + 7*j(f).\nAnswer: -f**2 - 457*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3685.495 rounded to the nearest 10?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*u**4 - 299*u**4 + 147114 - 147272 wrt u.\nAnswer: -908*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**3 + 2*x**2 + 4*x - 13. Let l be m(3). Let v = 1 + l. Calculate the highest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 6*t**2 + t. Let n(z) = 6*z**3 - 17*z**2 - 3*z - 1. Let b(q) = -11*c(q) - 4*n(q). Let o(h) = h**2 + 1. What is b(r) - 2*o(r)?\nAnswer: -2*r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3392826 and 155992.\nAnswer: 13571304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 12. Let m be v(-10). Let t(d) = d**3 + 4*d**2 + 4*d - 9. Let y be t(-6). Let a be ((-5)\/y)\/(1\/6). Put -0.03, m, a in descending order.\nAnswer: a, -0.03, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -54*t**2 - 1640*t - 538. Determine h(-30).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58635*k**3 - 63706*k**2?\nAnswer: 351810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*1\/(-4)*-2. Let w(v) = -v**3 - 8*v**2 + 7*v - 15. Let y be w(-9). Solve d*q - 24 = 4*x + q, -5*x + y*q = 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -1089*f**3 - 2141*f**2 - 36*f + 93. Differentiate p(y) wrt y.\nAnswer: -6534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124930937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 319 = -72031*f + 72036*f, 0 = 3*t + f - 66 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 2 - 3 + 2. What is i(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/12 + (-5)\/(-75)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325.6981s to milliseconds.\nAnswer: 325698.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.28 + -0.08. Let o = m - 2. Let c = -8 - -7.7. What is the third smallest value in o, -0.5, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/(22\/66). Suppose 0*y + 117 = y + o*w, 4*w - 4 = 0. Let r = y - -67. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150324 divided by 75162.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 10857.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5264208?\nAnswer: 2, 3, 139, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*l**5 + 21*l**5 - 25*l**5 + (-4*l**4 + l**4 + l**4)*(5*l + 3*l - l).\nAnswer: -49*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/5 + 585414*p\/5 + 585411\/5.\nAnswer: 3*(p + 1)*(p + 195137)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*k - 2*l, -11 - 3 = 3*k + 2*l. What is the remainder when (8\/(-6))\/(k\/138) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyffyf. Give prob of sequence fyyf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, 23.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -27*i + 3948. What is the remainder when s(111) is divided by 193?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**6\/2880 - o**5\/960 + o**4\/96 + 8*o**3\/3 - 6. Let x(d) be the third derivative of z(d). Factor x(f).\nAnswer: -(f - 1)*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 818361 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 3*n + 5. Let m(p) = 7*p**2 + 5*p + 9. Let v(q) = -5*b(q) + 3*m(q). Let c = 0 - 1. Let i be 1 + (2 - 4) + c. Calculate v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 16*m - 96, 4*b - 6*b + b = -6*b - 4*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155\/702 - 85\/54. Let j = -1679\/390 + g. Let s = 15247\/714 - 62\/119. What is the common denominator of s and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 6)*(5*c**4 - 4*c**4 + c**4 + (2*c**2 + 2*c**3 - 2*c**2)*(0*c + 4*c - 3*c) - c**4 - 221 + 221 + 3*c).\nAnswer: 15*c**4 + 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205515153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 27 = -92. Suppose 0*g + 12792 = -m*g. Let r = 167 - g. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -3 + (-20 - -24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.107406 milligrams?\nAnswer: 4107406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((2\/8)\/((-11)\/66))*(-853)\/853?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/40*(-115)\/(-736)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4334 is divided by 4328.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -3*o**5\/10 - 3*o**4\/2 - 5*o**3\/2 - 3*o**2\/2 - 1. Factor j(l).\nAnswer: -3*l*(l + 1)**2*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*n + 2466 = 959*n - 23755 - 31957 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 974?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749868*-40.\nAnswer: -29994720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(75)\/sqrt(5))\/sqrt(5)*-3)**2.\nAnswer: 24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -35*z + 1. Let o be s(-2). Suppose 5*i - o = 3*w - w, -5*i = 4*w - 53. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 6*w + 2*w)*(18 - 8 + 20) + 0 - 3*w + 0 - 4*w + 5*w - 2*w.\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 81.40018 micrometers?\nAnswer: 81400.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 21*f - 360 = 0. Let z be (-8)\/6 - -2 - 0. What is the third smallest value in 4, z, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4635 - -16123. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4309992155 a multiple of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*y = 7377 + 1004 - 389 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3504 - 9*h + 6*h + 14*h - 16*h + 8*h.\nAnswer: 3*h + 3504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 i, and 1 c when four letters picked without replacement from ipoccccopppao.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425 = 3*j + 5*p + 368, 0*j - 4*j - 3*p = -32 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9939*l - 3818*l - 209018 = -13146 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1104961*d - 446266 wrt d.\nAnswer: -1104961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1864 and -27\/2837008.\nAnswer: 2837008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18745789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:44 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-3) + (2994\/(-75) - (-28 - -1))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797133657?\nAnswer: 3, 19, 173, 229, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1033978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.1 (b) 2\/7 (c) 3 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 (base 11) in base 16?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -21*w + 65. Suppose -10 = -5*n - w*n. Let g be ((-55)\/10 - -6) + n\/(-2). Is -2\/39 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1081, 1713, 2339, 2953, 3549, 4121, 4663, 5169?\n\"Answer: -d**3 + 3*d**2 + 630*d + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30.93195ml?\nAnswer: 0.03093195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -37*v**3 + v**2 + v. Let h be y(-1). Let x = -18 + h. Calculate the remainder when 55 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 40*z + 4*w, 5*z + 24 - 20 = w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/28*2*25*-1*70\/(-25)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1327\/210 - 44\/7. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0601 and -29.0932400314.\nAnswer: -29.1533400314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118689*4\/15*1035\/828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82639 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 784526.8 millennia in centuries?\nAnswer: 7845268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + -6*sqrt(190)*1 - (sqrt(190) + -1*sqrt(190)*-1 + sqrt(190) + sqrt(190)))\/(-2*sqrt(490)*1 - sqrt(490)) + 4.\nAnswer: 3*sqrt(19)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2262 - -16a544?\nAnswer: 1717a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x - 2*x + (-x - x + 4*x)*(-3 + 1 + 1) - 3*x + 2*x - x)*(179 - 32 + 47).\nAnswer: -970*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 3*a**4\/4 - 503*a**3 + 94500*a**2 + 190512*a - 188. Factor r(n).\nAnswer: 3*(n - 252)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 4)*(-4*s + 5*s + s) - 146 + 80 + 507*s + 66.\nAnswer: 517*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9130*b*i**3*s**3 - 3*b*i**3*s**2 + 1594*b*i + 4*i**2*s**3 + 3*i**2*s wrt i.\nAnswer: 54780*b*s**3 - 18*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 79, 107, 155, 229, 335, 479, 667?\n\"Answer: w**3 + w**2 + 4*w + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5509*t**2. Let i(q) = -2*q**2. What is p(i(s))?\nAnswer: -22036*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-114)\/(-12) + 1\/(-2). Suppose b*f + 4*l = 20, -7 = -2*f + l + 1. Solve f*a - 6*a = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 4*g**3 - 8*g**3 + 2*g**3.\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -33. Suppose -12 = z - w. Suppose -5*h + z*f + 10 = 0, -8*h - f + 8 = -4*h. Solve h = -5*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1011212211212?\nAnswer: -1011212211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3395)\/(-100) - 8)\/9 and -121\/70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 939*a**2 + 23496*a\/5 - 3760.\nAnswer: -(a - 4)*(a - 1)*(a + 4700)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*h + 420*h + 63*h.\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m - 164*m + 38*m + 42*m + 39*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62747, 62357, 61967, 61577?\nAnswer: 61187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 0 + 18. Let i(y) = 7*y - 14. Let d be i(w). Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1228.2921 * -0.9\nAnswer: 1105.46289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y = -9501 + 12630 - 7161 for y.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2612*j + 188065. Give h(-72).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 72*v**3 + v**2 - v. Let r be i(1). Suppose z = r - 24. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 10*r + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20183.\nAnswer: 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 585883, 2343481, 5272815, 9373885, 14646691, 21091233?\n\"Answer: 585868*m**2 - 6*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125754441 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451965.\nAnswer: 3, 5, 29, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56686130647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/o**(-2\/17))\/o*o*o*o\/(o\/(o**(10\/7)*o))*o)**44)**8 assuming o is positive.\nAnswer: o**(274208\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-444))\/(12\/((-11040)\/23)*-10)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289b52 (base 12) to base 7.\nAnswer: -5533460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1446165 (base 10) in base 14?\nAnswer: -299057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1946*g**2 - 1. Let z be d(1). Suppose 0 = f - b - 980, -3*f + 5*f + 3*b - z = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123869381 to the power of 1\/2, to the nearest integer?\nAnswer: 11130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let u(w) = -23*w**2 + 7. Calculate z(u(r)).\nAnswer: -1058*r**4 + 644*r**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02092 - -0.12092. Sort i, 947, 0 in ascending order.\nAnswer: 0, i, 947","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-12))\/(388\/(-4656))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**8*o)\/o)*o)**21*(o\/(o*o**8\/o))**43 assuming o is positive.\nAnswer: o**(-427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2)\/(15\/12). Let i be (2\/o)\/((-8)\/(-32)). Differentiate -84 + i*a - 5*a + 71 wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 688\/258*19017\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r + 14480. What is the highest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/((t**(-5\/7)\/t*t)\/t))))\/t**(-2\/11)*(t**0)**(2\/7))**(-33) assuming t is positive.\nAnswer: t**(-669\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + a + 22 = 2*a + 4, -2*v - 19*a - 28 = -34*a + 9*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0 + 4*c + 5)*(1 + 10 - 13).\nAnswer: -8*c - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 910 - 907. Solve 5*w + 45 = -5*r, 4*r + 5*w + 26 = x*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 6*w**5 - 753*w**4 - 139554*w**3 - 3668352*w**2 + 42374508*w + 22086945 = 0.\nAnswer: -59, -1\/2, 9, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 13550?\nAnswer: -13555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20\/69 + 4336\/14007. Let m = -474\/3451 + z. What is the third biggest value in 4, -3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3 + u**2 + 1 + 1 + 1 + 7*u. Let y be d(-4). Let s = 17 + y. What is the highest common factor of 121 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*g = 35, -3*r + 532 = -5340*g + 5264*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 13*s = 10*s + 158854, -2*s - 158844 = -2*r. Let n = r + -49294. Round n to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-46)\/r**(6\/13) assuming r is positive.\nAnswer: r**(-604\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaavavaaavaaaaa. What is prob of sequence vav?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/11 (b) 589\/3 (c) 10 (d) -1\/3 (e) -5\/4 (f) 3 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20951*w**4 - 12212*w wrt w?\nAnswer: -251412*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 961 and 992?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2492.1, 0.4, -1\/6, 4, -5, -3 in ascending order.\nAnswer: -5, -3, -1\/6, 0.4, 4, 2492.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.39 + 63.61. Let t = h + -61. What is the smallest value in t, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130, -221, -312?\n\"Answer: -91*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4000450 is divided by 294?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(5 - 130\/25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 2*v = 18*y + 2, 0 = -5*y + 5*v + 30. Solve 3*w - 17 = -y*g, 15*w = 10*w + 25 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 4. Suppose 2*j = 4*i + 20, 0 = -j - i + 2 + 2. Let s = -11 + j. What is n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.674525 litres in millilitres?\nAnswer: 9674.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.01. Let h = -0.11 - -4.11. Let m be 116\/(-16) - -8 - 493\/348. Which is the third smallest value? (a) m (b) s (c) h (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44.01481 centuries?\nAnswer: 440.1481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-4)*d*d*d\/d**(-15\/4))**(-29) assuming d is positive.\nAnswer: d**(-1479\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6)*(-3 - 0). Let k be (5651\/42)\/t + 0. Let b = k - 805\/6. What is the common denominator of b and 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2453.9 + 2454. What is the nearest to -4.39 in -1, -2, -0.2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 10028770.\nAnswer: 10028771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15559\/1550 + -318\/31. Is 0 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -39. Suppose h = -p + 3*p. Solve -3*c + p*c = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w - 58 + 4*w - 7*w to the form u*w + s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/28)\/(-3)*1. What is the nearest to 1 in -2\/5, -24, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*t - 2*t - 4*k, -4*k = 4*t - 84. Suppose 5*f - 11 = t. Let n(a) = a**2 - 5*a - 4. Let v be n(f). Solve -5*g = b - v*g + 17, 3*b + 18 = 4*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 81\/18*(-4)\/6. Let x(c) = c + 5. Let z be x(-3). Let m be (r + (-3 - -6))\/z. Solve 4*q - 14 + 2 = m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392538987.\nAnswer: 3, 14538481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27674 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3532 (base 10) to base 3.\nAnswer: 11211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5526.79 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g + 11. Let r(n) = n**2 + 1. Let u(t) = m(t) + 2*r(t). What is the tens digit of u(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6632 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 112*n**2 - 237*n + 13902. Calculate p(111).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 398, -11, -5 in decreasing order.\nAnswer: 398, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5439)\/(-74))\/((-3)\/8). Let q = o + 1374\/7. Suppose q*r**2 - 2\/7*r**3 + 2\/7*r - 2\/7 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 271b5 + -1?\nAnswer: 271b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let y = -416 + 415.9. What is the third smallest value in y, 3, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 + 10334\nAnswer: 10544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-3)\/(-3) - -1). Let r be m\/3*63\/6. Suppose -2*j = 4*t - j - r, -3*j = 2*t + 9. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/42)\/(1\/56*-568)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/1344 + 4*g**7\/21 + g**6\/160 - 239*g**5\/120 - 10*g**4\/3 - 5*g**2 - g - 313. Suppose w(m) = 0. What is m?\nAnswer: -1, 0, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.9 + -20.694. Round j to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 - -17. What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0)**(-2\/101)\/(v**(-2)\/(v\/(v*v**(-3\/2)))))**(3\/2))**(-9\/7) assuming v is positive.\nAnswer: v**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3 - 12 - 20*u**2 - 49 + u**3 - 3 + 92*u - 6*u**2 = 0.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3832 + -3312. Calculate the smallest common multiple of i and 40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 40*y - 4*t = 21, -3*y + 11 = -4*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1164 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/5 - 73*v**4\/4 + 93*v**3 - 207*v**2\/2 + 6635. Factor n(p).\nAnswer: p*(p - 69)*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429275 divided by 7?\nAnswer: -61325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 2)*-6 + (sqrt(242) - (-3 + sqrt(242) + 1*sqrt(242) + sqrt(242))) - (1 + (sqrt(242)*1 - sqrt(242)) + (-5*2*sqrt(242))**2).\nAnswer: -24210 - 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472801 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i**3)*(i - i - i) + 2 + i**4 - 2 - i**2 + i**2 + 2*i**4 - 12*i**4 - 18*i**4 - 15*i**4.\nAnswer: -40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1290458*l + 1290371*l - 358 + 177 + 181.\nAnswer: -87*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48 (b) 4 (c) 1\/180\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*n + 21, 3*n + n + 20 = 0. Let j be (-945)\/(-245) - g\/(-14). Which is the third biggest value? (a) 5\/6 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 38, 71, 114?\n\"Answer: 5*m**2 + 8*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v + 36 = -5*z, 16 = -3*v + 2*z. Let p = v + -4. Is -13 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 7 + 2104*p**2 - 2103*p**2)*(p + 3*p - 3*p) to the form d*p**2 + y*p**3 + b*p + h and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6)*5\/15*0. Suppose 0 = 5*o - y*r + 5*r + 10, 5*o = 3*r + 22. Solve 2*x + 8 = -o*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5331960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 399 from -3956.\nAnswer: -4355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -115, 4, -37, 1, 0 in ascending order.\nAnswer: -115, -37, 0, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130052?\nAnswer: 2, 13, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37847203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from qqqbtkbqbxkqtkqqkx.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 1 + 2 + 0*j. Let r(x) = x**3 - x**2 - x + 3. Let b be r(0). Let o(p) = -b*p - 3*p + 2*p + 5*p. Determine -4*o(z) + q(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -51, -7, 205.\nAnswer: -51, -7, -5, 3, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {z: 5, c: 1, v: 1, q: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143 times 33051?\nAnswer: -4726.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -16 - (25 + -14)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 12:25 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23795, 4.\nAnswer: 0, 4, 23795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12825 and 54225?\nAnswer: 3090825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Solve 0 = -3*t - m*s - 28, 5*t - 6*s + s = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.74 + -1. Let f = r + 17.26. Let u = 21 - f. Which is the third smallest value? (a) 1\/12 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 28*r**2 + 25*r - 18. Calculate o(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3115*b*f**2*k*p + 6*b*f*k*p - 117*b*k*p + 38*b*k + b + f*k + k wrt f?\nAnswer: -6230*b*f*k*p + 6*b*k*p + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 261\/41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 21 - 139 = -41*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 124. Let u be k(-24). Suppose 0 = u*s - 5*y - 135, y = 3*s + 6*y - 110. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119697)\/(-21123)*(-18)\/(-5253)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38639 - -38638.999945127. Round r to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7951093ml to litres.\nAnswer: 0.0007951093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 55194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16409, -32815, -49221, -65627?\n\"Answer: -16406*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2898\/272393?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(360)*2 + sqrt(360) - sqrt(360)) - sqrt(360))\/(sqrt(72)\/(sqrt(12) + sqrt(192) - sqrt(12))))\/(sqrt(972)*1*4*-3).\nAnswer: 13*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.31 and 43.7.\nAnswer: 43.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**2 + 37*k + 207. What is z(-4)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6 + 349*a**2 - 801*a**2 - 2*a - 7 - 1199*a**2 as p + z*a**2 + b*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 10*p**2 - 12*p**2 + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -c + 21, -24471*m - 3*c + 3 = -24471*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5355 - 5361. What is the nearest to 1\/4 in 6, 4, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/7))\/(r*r**(-4)))\/((r\/r**(-2\/9))\/(r**(-2\/7)\/r))*(r**(-1\/4))**23\/(r\/r**(1\/9)*r**(-5)) assuming r is positive.\nAnswer: r**(-145\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + ((-5*-1*sqrt(147))**2 - (sqrt(147) + (1 + (sqrt(147)*-3 - sqrt(147)))**2)) + -4).\nAnswer: -1320 - 49*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(288) - -1*-1*sqrt(288))\/(sqrt(36)*-4) - (-1 + 0 + sqrt(3872) + 2)).\nAnswer: -44*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 0.04, -0.25, 482?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13)\/g)**(-7\/11))**45 assuming g is positive.\nAnswer: g**(4410\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1686*w**2 - 1686*w**2 - 38*w**3 + 40*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12075882*k - 10043?\nAnswer: -12075882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41805444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002504 to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2810884\/13725 - 4\/13725. Let u = 14031\/70 - f. Calculate the common denominator of u and 53\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74524784 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -14, -45, -76, -107?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:56 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7021 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42*r**2 + 18*r + 8. Let f be h(-6). Suppose -13*t - f = -5156. Is t a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 1. Let o(y) = -6*y**3 + 3*y**2 + 5*y + 6. Let m be o(-2). Suppose m = v + 42. Suppose 15*n = 8*n - v. What is b(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78171093 * 5\nAnswer: 390855465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2875 = -2*f. Let u = f - -60. Let v = u - -2073\/4. Calculate the common denominator of v and 27\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/2*(-936)\/351.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 35.7. Which is the nearest to 1\/2? (a) -0.3 (b) -1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -922686 divided by 3\nAnswer: -307562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/36 + (-30)\/(-8). Factor z*m**4 - 109*m**2 + 0*m**4 + 3*m**3 + 103*m**2.\nAnswer: 3*m**2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 12. Let m be j(9). Suppose 14*p - 6 = 16*p. Which is the second biggest value? (a) p (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.594972us?\nAnswer: 9594.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/280 and -99\/664.\nAnswer: 23240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-2)\/30 + 4\/6). Let b(h) = 3*h**3 - 3*h**2 + 2*h - 1. Is b(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-525825\nAnswer: 210330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 488 divided by -244\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19) + -1 + -5 + sqrt(304) + -4.\nAnswer: -10 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -364 + 367. Calculate the greatest common divisor of 300 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 59 + 1. Let r = 18 + z. What is the smallest common multiple of r and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73547790 and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -10 + 12*a + 1\/2*a**2 - 3*a**3 + 1\/2*a**4 = 0.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 0.1, -83, -11, 0, 2\/15?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (0\/1 + -1)) + 265?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51838, 103672, 155506, 207340, 259174?\nAnswer: 311008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oxxxooozo?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/((v*v\/v**(-2\/45))\/v))\/v)\/(v*(v\/(v*v*v*v**6))\/v*v*v) assuming v is positive.\nAnswer: v**(268\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3550748732 from 22.\nAnswer: -3550748710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(33)\/sqrt(3) + -5 + (sqrt(1100) + -1 - sqrt(1100))) + (sqrt(88)*2*-1 - sqrt(88))\/(-5*(sqrt(8) - sqrt(128))))*-2.\nAnswer: -28*sqrt(11)\/5 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113120013 (base 6) in base 13?\nAnswer: -58b47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f - 2*f**2 + 4*f**2 - f - f wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/30, -0.08, 0, -17, -2\/7, 1692?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23546241667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*x - 567 = 978 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777*t - 793*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 532.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.3 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1917 is divided by 239.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q. Suppose -4 = -10*j + 16. Let d(z) = -38*z**2 + 53*z**2 - 32*z**j. Determine h(d(g)).\nAnswer: -85*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 126, 130, 134, 138, 142?\n\"Answer: 4*z + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0)*1\/(-3) + 1. Solve p - 4 = 0, 3*h + 21 = -u*h + 3*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/9 - 3\/(-9). Suppose 3*r = -l*u - 7, -u - 29 + 6 = 5*r. What is the units digit of (1 + r)\/((-1)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**3 - 3*d**2 + 2*d. Let c(w) = 17*w**3 + 7*w**2 - 5*w. Let l(q) = 2*c(q) + 5*j(q). What is the third derivative of l(i) wrt i?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2113? (a) 1\/3 (b) 0.15 (c) 0.082 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11424130 (base 5) in base 9?\nAnswer: 174174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312120*c**4 + 359058*c?\nAnswer: 3745440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(9\/7)*(w\/(w**(-3)\/w)*w)\/w*w**(-1\/6)\/(w**(6\/5)\/w))**(-5) assuming w is positive.\nAnswer: w**(-913\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*g)*(0 + 23 + 21) + (2*g + 0*g - 3*g)*(2 + 0 - 3) as z + q*g and give q.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*q = 3*v + 794, 0 = 4*v + q - 1581. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(98) + 4)*1*3 - (0 + 1 + -3 + sqrt(98))**2).\nAnswer: -360 + 196*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/988 and 101\/18?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 48. Let b be s\/6*(-2 - 446\/(-220)). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0 + 0)*(-4*o + 4*o - o) - 2 - 7*o - 49053*o**3 + 8*o + 35*o**2 + 49059*o**3.\nAnswer: 7*o**3 + 35*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24612562?\nAnswer: 2, 13, 19, 49823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13*s**2 - 6306*s + 12156. What is z(-487)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 20*m + 9*m + 3*m - 42*m - m + 6*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.106.\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3642071.\nAnswer: 41, 211, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 524*p**5 - p**3*q + 41*p**2 + 3*p*q wrt p.\nAnswer: 31440*p**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.0275, -4, 4\/3?\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 + 2*r + 3. Let f be j(-2). Let v = -25.9 - -26. What is the nearest to v in f, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(4 - 5) - 0. Solve 5*u - 4*d = 2, -p*u + 3 = d - 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 - 9*n + 16. Let k be g(-4). Solve 0 + k = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((2699970\/468)\/215).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4 - 74*j**3 - 240*j**2 = 0.\nAnswer: -3, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -215, -328, -487, -692, -943, -1240?\nAnswer: -1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*j - 3*f, 0 = -5*j + 3*f - f + 13. Suppose -j*a - a = -20. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2528.33172 to zero dps.\nAnswer: -2528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*u - 15, -4*u + 2*u = 3*m - 11. Suppose 6 + 2 = u*n. Suppose 46 = n*v - 5*l + l, 2*v = 2*l + 54. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -633 + 405. Is l less than or equal to -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/12)\/((-2)\/(-56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 39*b**2 - 25*b + 148. Let i be h(38). Let z = i - 1285\/2. Let a = -4 + 7. What is the smallest value in 1\/14, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8421 (b) 3085 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2134 - -4?\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 1, a: 2, o: 4, q: 3, y: 4}. What is prob of sequence ab?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by -319\nAnswer: 150\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 14 = 64. Let r = v + -32. Suppose r*m - 10 = 88. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Let i = a + -5. Suppose -1 + 5 = -4*r. Sort i, 5, r.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000251214 to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61845 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7*(-5)\/(165\/154)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 - i**4 + 0*i**3 + 9*i**3 - 2*i**3 + i**2 + 5 - 4*i**2 to k*i + a*i**2 + q + c*i**4 + l*i**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/620588 and 43\/8.\nAnswer: 1241176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 202*o**2 - 1182*o - 1183. What is j(-196)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.051 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3 + 4 - 3*i)*(i + 0*i - 6*i) + 2*i**2 - 4 + 4.\nAnswer: 22*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160411\/230 - 727\/230. Let y = v - -701. Solve 4\/5 - 2\/5*p**2 - y*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 19 - (13 - 5 - 6 - 17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2.5. Let s = 3 + -3. Let z = -0.4 - s. What is the second biggest value in 0.5, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 0*i + 5*i + (0*i - 2*i + 0*i)*(6 - 19 - 8) + i + i - 3*i + (1 + 3 - 6)*(-2*i + 4*i - i) + 0*i + 0*i - 5*i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -86 (b) 2\/5 (c) 1\/8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/10, -1, -457.\nAnswer: -457, -1, 9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -5*g - 33*l + 37*l, 0 = -4*g - 28*l + 23*l - 208 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 755141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1456919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 435 - 199. What is the remainder when g is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/8, 2 in ascending order.\nAnswer: -8, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**3*t)\/t)*t)\/(t*t**(-7)))**1 assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 9.78\nAnswer: -3.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f**2 - 36*f**2 - 4*f - 51*f**2 + 145*f**2.\nAnswer: 10*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5476*o**3 + 9324*o**2 + 3135*o + 242 = 0?\nAnswer: -11\/74, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 76625 and 76623 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/32481 and 11\/21654.\nAnswer: 64962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a factor of 565479621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -19*v - 75 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*v + v = -114, -4*v - 204 = -2*h. Calculate the remainder when h is divided by -18 - (-725 + 719)*(1 - -8).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293440 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 234. Let v be f(28). Find the first derivative of -1057 + 0*g**3 + 938 - v*g**3 wrt g.\nAnswer: -114*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.47 - 2.23. Let b = t + 29. Let g(h) = 2*h**2 - h + 1. Let u be g(1). Is b >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 12103221303313?\nAnswer: -12103221303331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.6365 to 2 dps.\nAnswer: -9.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 25*k. Let s(i) = -4*i**2 + 71*i + 39. What is s(d(y))?\nAnswer: -2500*y**2 + 1775*y + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 - 5*o. Suppose 3*r + 49 = 61. Suppose 4*y - y = -21. Let c(k) = 9*k**2 - 10*k. Let p(t) = r*c(t) + y*j(t). Determine p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/((-28)\/(-224)*(-48)\/28).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147501 - 91006. Let n = j + -56459.029. Let b = 36 - n. Round b to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041705437 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l. Suppose 0 = 2*k + k + 66. Let b = -24 - k. List the prime factors of z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 1, u: 1}. Give prob of picking 1 z and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55 - (-1 - 2\/(-1)). Let f = 267\/5 - u. Let d be (-12)\/(-9)*15\/40. Put d, f, 2 in descending order.\nAnswer: 2, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + 2*r + 1. Let s be x(-1). Let d(n) = -5*n + 3*n + 5 + 3*n. Let o be d(0). Solve g = h - 6 - 0, -o*g = s*h - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 30, -10, 26, -3 in decreasing order.\nAnswer: 30, 26, -3, -10, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -689b4e (base 15) in base 11?\nAnswer: -2901219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4480767, 8959897, 13439041, 17918205, 22397395, 26876617, 31355877, 35835181?\nAnswer: 40314535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21076 + -21108. What is the third biggest value in 4\/9, t, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6 - 0, 5*x = u - 31. Let m be u\/(-20) - 209\/(-55). Solve 4*v = m*r + 18, 0 = 2*r - 3*v + 22 - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let v(z) = 4*z - 3*z - 3 + q. Calculate v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -32, 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60 + c4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 54*z + 55*z + 21111, -z + 10563 = s. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.121996266 to four decimal places.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*x - 223 = -3*q, q + 4*x + 93 = 0. Let o = 48 - q. Round o to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7949 - -13189. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419050 divided by -85\nAnswer: -4930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k**3 - 489*k**2 + 330*k.\nAnswer: -3*k*(k + 55)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:36 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*sqrt(605)*2 - (sqrt(605) + (1*sqrt(605))**2 + -3) - ((sqrt(605) - (sqrt(605) + (sqrt(605) - (sqrt(605) + 0)**2))*3) + sqrt(605) + 5))*1 + -5.\nAnswer: -2425 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 16. Let p be i(6). Let s(l) = -5*l**2 + 14*l + 30. Let h(f) = f**2 - f - 1. Let z(q) = 4*h(q) + s(q). Is z(p) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubfbssb. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4\/9 - 2\/9*s - 16\/9*s**2 - 10\/9*s**3 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 105, 159, 211, 261, 309?\n\"Answer: -d**2 + 59*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.19 (b) -2\/237 (c) 0.2 (d) 7.2 (e) 2\/3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*p + 4 = 0, -5*z - p + 6 = -18. Let k = -8258 + 8257. Sort z, -0.09, k, 0.4.\nAnswer: k, -0.09, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/5 + 4692*z\/5 + 625936\/5 = 0?\nAnswer: -2204, -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.88 - -0.28. Let i = k + 0.6. Let s = 3 - i. What is the third smallest value in 2\/21, -1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-2) + 5\/10. Let n(q) = q**3 + 7*q**2 + 2*q + 10. What is n(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 16. Let p be y(-2). Let b = p - -10. Suppose -4*c = 3*s - 11152, 0 = -b*c - 3*s + 744 + 4838. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 14*m - 12. Let n be g(-12). Calculate the highest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344.79 + 348. Let h = -3.4 + v. Let o = h + -0.09. Round o to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1392, -2786, -4180?\nAnswer: -5574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 + 16152*j**2 + 209638*j = 0. What is j?\nAnswer: -8063, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157007 is divided by 5414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(-1)*w)\/w))**(-37)\/(w**(-2\/3)*w)**(1\/16) assuming w is positive.\nAnswer: w**(-1777\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.87 - -0.27. Let i = 101.7 + -102. Suppose 0 = -4*u - p + 23, u + 3*u - 5*p = 5. What is the third smallest value in u, h, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 13, -1, 40, 0.0116 in descending order.\nAnswer: 40, 13, 7, 0.0116, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779 divided by 9?\nAnswer: 3779\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 2807 = 93. What is the smallest common multiple of 14 and k?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/28*(-2)\/10*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394 + -394. Which is the nearest to m? (a) -5 (b) 2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477, 3742, 12625, 29940, 58501, 101122, 160617?\nAnswer: 239800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -3 - -15) + -12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 711486*w**2 + 599448.\nAnswer: 1422972*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55195 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1950 and 10270?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 20. Let u(p) = -19*p**3 - 11*p**2 - m*p + 5*p. Suppose -15*s - 35 + 200 = 0. Let n(d) = 10*d**3 + 6*d**2. Determine s*n(b) + 6*u(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2644105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100165 is divided by 335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 18. What are the prime factors of (c\/(-2))\/(7 - (-4773)\/(-682))?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + l - l. Let x(a) = -a + 3*a - 4*a. Give y(x(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 90 + 886 = 3*y, y - 2*u - 252 = 0. Suppose -5*i + 455 = -y. Let a = 35 - 22. Calculate the greatest common divisor of a and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*v - 28661 + 54037 = -952*v - 93232 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**4 + 7309709*r**3 + 58763*r**2 - r + 26?\nAnswer: -24*r + 43858254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10407312 (base 9) to base 16.\nAnswer: -4cab0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 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: In base 14, what is -2 - -4d?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11446324471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -0.01, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 5, -1\/2, 4, 0.05 in increasing order.\nAnswer: -42, -1\/2, 0.05, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 divided by 20?\nAnswer: 561\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -370395.35 rounded to the nearest one hundred?\nAnswer: -370400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50227695017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*r + 13. Suppose -r*p + 784 = -3*p. Calculate the highest common factor of 56 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9309105\/49 or 189981?\nAnswer: 9309105\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54478707589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(220\/(-8)) - 1015\/(-77). What is the highest common divisor of m and 585?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j = -147909 - 78233. Calculate the remainder when j is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5667, -4822, -3973, -3120?\nAnswer: -2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-72864)*24*(-7 + 23)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = p - 26, -2*j = -2*p + j + 17. Suppose 10 = 3*b + p. Sort 2, b, 4 in descending order.\nAnswer: 4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.69 (b) -2\/7 (c) -11\/5 (d) -3\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 10354.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20\/28043?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3382 divided by -1691.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34643 and 1225?\nAnswer: 866075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0977095 centimeters?\nAnswer: 977095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 369\/5. Let k = 181\/15 - 62\/5. Which is the third biggest value? (a) n (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 49 = 6*v - v, -19 = -q - 5*v. Let j be 15\/q + -1 - -2. Let u = 54 + -215\/4. Which is the third smallest value? (a) j (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1 (b) 3 (c) -1729 (d) 1\/9 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1045*x - 2118*x + 30044 = 0 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*k**5 + 15*k**5 - 2*k**5 - 3*k + (-41 + 26 + 17 + 2*k**3 + 2*k**2)*(-2*k**2 + 2*k**2 - k**2).\nAnswer: k**5 - 2*k**4 - 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46764246223\/521861879 + -1\/6777427. Let j = t - -661\/7. What is the common denominator of -1 - 2\/(8\/(-59)) and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 12*v**2 + 2*v - 2. Let t(z) = -2*z**2 - z + 1. Let x(c) = -2*t(c) - y(c). Let p(k) = -k**2. Give p(x(d)).\nAnswer: -64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-6))\/(6\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 188259*w**3\/5 - 2635659*w**2\/5 + 9225153*w\/5 - 1617\/5 = 0.\nAnswer: 11\/62753, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 354\/450*9 - 13*(-26)\/(-4225)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 377*b**3 + 4*b**2 + 377*b**3 + 2*b**4 as r*b**2 + x*b + w + f*b**3 + i*b**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) - (20\/(-45))\/(-2). Suppose w = -k + 24 - 18. Suppose 3*o - 3*v - 54 = 0, -o - v + k = -12. What is the smallest common multiple of 30 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8*y - 3. Let f(a) be the second derivative of a**3\/3 + a**2\/2 - 26*a. Give -9*f(n) - 2*j(n).\nAnswer: -2*n**3 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - s + 20 = 0, 7*s + 30 = -2*b + 9 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*r + 8, -2*g - 5*r - 21 + 1 = 0. Let v be (-13)\/26*(-3)\/(3\/(-2)). Let y = g - v. Which is greater: -1\/38 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 186, 309, 452, 621, 822, 1061?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7363862 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -t + 1. Suppose -15*s + t*s + 108 = 0. List the prime factors of ((-3 - -5) + s)*1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3210 and -0.8258.\nAnswer: 3209.1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007553 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -42. Suppose -11*u - 60 = -313. Let i = y + u. Solve -2*m - 5*h - 6 = i*m, m - 5*h = 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.47 - 0.47. Let g = k + -26.019. Let f = 0.191 - g. Are 0 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 - 1)*(2*y + 5 - 7 - y).\nAnswer: 7*y - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2011*f - 1006*f - 1004*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12180 divided by -3?\nAnswer: -4060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + s = -3*s - 16, -2*o - 2*s = 4. Which is the nearest to -1? (a) -5 (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - -0.219. Let b = -0.2024122 - -0.2914161. Let a = s - b. What is a rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 263, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -116*u - 1. Let p be z(3). Let x = -215 - p. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:26 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**7\/210 + z**4\/8 - z**3\/3 - 1. Let x(w) be the third derivative of t(w). Differentiate x(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**2 - 2*r - 1. Let b be m(2). Find the third derivative of 3*c**3 - c**3 + 3*c**b - 2*c**3 + c**5 wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 - 3. Let o = 1.1 + n. Let b(y) = 3*y**2 + 7*y + 5. Let j be b(0). What is the second smallest value in o, 1\/4, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1398, -2778, -4160, -5544, -6930, -8318?\nAnswer: -9708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24461391839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 >= -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*h*j**2 - 71*h*j - 242872822*h - 19*j**2 - 63*j with respect to j.\nAnswer: -30*h*j - 71*h - 38*j - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (10 - (-18 + 9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -41 and 0.0564.\nAnswer: -40.9436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745*a - 380*a + 645*a**2 - 361*a.\nAnswer: 645*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1886528 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*r - 15 = -48, 0*r + 7 - 29 = 2*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(6\/72). Suppose 0 = -i*y - 20 + 4. Let o = 6 + y. What is the second biggest value in 3\/4, 2\/23, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + ((-4)\/(-5))\/((-7)\/(-105)). Suppose 2564 = r*x - 1533. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 + 8*c - 5. What is z(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 5\/2*a**4 + 49*a**2 + 33 + 21*a**3 + 1\/10*a**5 - a. Solve u(b) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 33 - 18 - 2*r**2 - 12 - 3. Let c(i) be the first derivative of 18*i**2 + 1. Give c(p(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*d = -23, -4*k - k - 5*d + 35 = 0. Suppose v - 12 = -k*v. Calculate the remainder when (-9)\/v*56\/(-6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 70, 226, 528, 1024, 1762, 2790?\n\"Answer: 8*i**3 + i**2 - i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3*w**3 - 108*o**3*w**2 + o*w**3 + 1352*o wrt o.\nAnswer: 18*o*w**3 - 648*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Let m(l) = -4*l + 5. Suppose -2*d - 5*y = 26, -d + 10 = -3*y + 1. Calculate d*g(p) - m(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 + 2\/(-9). Suppose v = -3*k + 36 - 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/148*4704\/(-84).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3741 - 3685 = 14*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4*3) - 264\/(-144). Suppose 5 + 712 = i*l - 3*o, -3*l - 5*o + 1066 = 0. List the prime factors of l.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - 1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -131 + 37344*z - 4505*z - 133 + 264 in the form q*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, q: 5, f: 2}. Give prob of picking 1 f, 2 v, and 1 q.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.75 + 4.75. Which is the nearest to 2\/3? (a) -1\/2 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095?\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15906 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-325)\/(-39) + -5)*459\/15. What is the greatest common divisor of 680 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 17*l**2 + 2*l - 22. Give i(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6953\/4 - -1738. Let f = 41 + -44. Let m = -0.1 - -0.5. Which is the nearest to u? (a) 2 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(33\/(-22))\/(-3)*-70. What is the highest common factor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 806*o**2 - 28244*o - 13920.\nAnswer: 2*(o - 232)*(o + 30)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98511 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.06 (b) 0.03 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x + 4*s - 1760 = 0, 3*s = -4*x + 1409. Is 51 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 176, -5, 5\/4 in decreasing order.\nAnswer: 176, 5\/4, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*r + 63 = 0, -6*r + 4 = -4*r. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 583526 and 249.\nAnswer: 145297974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-70)*(14\/12 + 0\/(-1))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 10)*(4 + (-12)\/9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -23. Let q(o) = -o**2 - 10*o - 5. Calculate the remainder when 45 is divided by q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (908*b + 3384*b + 1973*b + 912*b - 535*b)*(2*b**3 - 4*b**3 + 3*b**3) in the form p + t*b**2 + d*b**4 + o*b + v*b**3 and give d.\nAnswer: 6642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2. Let m(d) = 96*d - 1719. Calculate m(h(x)).\nAnswer: -288*x**2 - 1719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3964992086 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10708897, 21417796, 32126695?\nAnswer: 42835594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 7667595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4943656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqjp when four letters picked without replacement from pjqdqqqqqsqqqqqqj.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 9*m**2 - 11926290*m + 3975429 = 0.\nAnswer: 1\/3, 1325143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 487784984 divided by -8?\nAnswer: -60973123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -7.553661.\nAnswer: -22.660983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0591 and 3?\nAnswer: 2.9409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -529500\/173 or -3062?\nAnswer: -3062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(63) + -3)*-6 + -5 - (2 + ((sqrt(175) + 1 + sqrt(175))**2 - (2 + 1*sqrt(7))))).\nAnswer: -687 - 37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85851 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: Solve -f + 3*g - 10 = 0, 9*f + 5*g = 13*f + 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (684\/(-7980))\/(6\/15)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-2)*d)\/d**(-2\/11))**(-29\/4))**(2\/31) assuming d is positive.\nAnswer: d**(-667\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 9:19 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 169, 344, 509, 658, 785, 884, 949, 974?\n\"Answer: -o**3 + o**2 + 179*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913238 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2a7?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/100*-5*15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from ccccccccdcccccddcccc.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 215*f + 2425. Calculate s(208).\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247796 divided by 8.\nAnswer: -61949\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 35 - 3. Suppose -13 = 4*m + 5*h + 43, -2*m = -3*h - 16. Let x(a) = a**3 - 3*a**2 + 2*a + 1. Let r be x(2). What is the nearest to 0 in j, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 602.952883 and -787.\nAnswer: -184.047117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 35488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 15*z**2 - 12*z + 13. Let t = -12 + 26. What is the tens digit of k(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -235\nAnswer: -117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1429 (base 16) in base 6?\nAnswer: -35521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*b - 53, -5*b = a - 34 - 30. Let t(w) = 7*w - 2*w + 3*w - b - w**3 + 6*w**2. Let d be t(7). Let s(q) = 4*q + 4. What is s(d)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184 - -181. Let q = 0.8 + -0.5. What is the closest to q in 4, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m + 20 = 0. Suppose 0 = 5*d - 3*b - 25, -m*d + 2*d + 29 = b. Calculate the highest common factor of 16 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-158)\/79)\/((-8)\/(-360))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20486782 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:18 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893 + 933 = -8*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -6*a - 3. Suppose 0 = 3*w + 39 + a. Let l = -32 - w. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4040 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let s(u) be the third derivative of -2401*u**5\/20 - 4695*u**2. Calculate j(s(f)).\nAnswer: -14406*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 333*i - 955. What is the remainder when 201 is divided by p(3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/7 - (-6)\/14. What is the units digit of 195\/(-6)*(q + (-1068)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/14)\/((-13)\/((-182)\/24)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 517?\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8243941 to the power of 1\/2, to the nearest integer?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/11 less than or equal to -117277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.1 - -41. Is -1.8 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373 - 373.000075. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -340890 or -340889?\nAnswer: -340889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-110)*2\/(-11)*-1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.40302 kilometers to meters.\nAnswer: 97403.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 2*x - 52 + 36 - 29.\nAnswer: -2*x - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -392.47306 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 147624.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -313*y**8\/336 - 1277*y**4\/24 - y**2 + 314*y. Find the second derivative of t(z) wrt z.\nAnswer: -6260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 8*s**2 + 272*s + 39. Let m be h(21). Solve 11 = -3*g - f + 24, m = 2*g - 4*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 32*f + 4. List the prime factors of r(14).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**7\/140 + 3*d**4\/8 - d**3\/6 - 3*d. Let s(k) be the second derivative of n(k). What is the first derivative of s(x) wrt x?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27 - -71)*(-1)\/(-2). Calculate the greatest common factor of p and 726.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*z - 3600, 3*z + 1338 = -3*s - 1362. Let h be 2\/19 + z\/1330. What is the third biggest value in -0.4, 3, h, 4.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4720.617 rounded to zero dps?\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 5 + -17 + 18 + -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(((-1184)\/160)\/37).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*c + 8654 = -471. Let b(u) = -55*u - 3. Let a be b(-2). Calculate the remainder when c is divided by (-2)\/5 - a\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.108 and -8746.9735?\nAnswer: 8746.8655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3134 = 3*j, -4*j = 5*w - 5*j - 7848. Is w\/15 - (-1)\/3 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f + 42 = 0. Let c = f - -47. Let r = 3 + 2. What is the highest common factor of c and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 168 in 1, -4, -0.1, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0664 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -91, -95, -109, -139, -191, -271, -385?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64687*j - 64682*j = 7*d - 103, 3*d = -3*j - 33 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 8:03 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.46, 6, 4, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -84*j - 590. Give t(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/72*18\/9)\/(34\/(-12))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -153658*v - 15*v**3 + 153680*v - 6*v**3 in the form x*v + c*v**2 + f + g*v**3 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(-1\/8)\/f)\/f))\/(f\/((f**7\/f)\/f))*f**(5\/4)\/(f\/(((f\/(f*f**6\/f))\/f)\/f)))**(-12) assuming f is positive.\nAnswer: f**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 80*v**2 + 1116*v - 20. What is c(-14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 3*n - 3*n + 16*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/711 + -5005\/130824. Find the common denominator of g and -139\/60.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2730 and 1456?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -6. Suppose -9*d + 39 - 12 = 0. What is the nearest to 1\/4 in l, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*y**4 + 33 - 33)*(-25 + 0 - 9) as q*y**4 + i*y + o + m*y**2 + z*y**3 and give q.\nAnswer: 1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-7) + ((-505)\/(-525))\/1. Let v(s) be the second derivative of -1\/50*s**5 + 0 + 3*s + 1\/6*s**4 + 4\/5*s**2 - f*s**3. Factor v(m).\nAnswer: -2*(m - 2)**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 192119?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 23963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.039783 * 2.13\nAnswer: 0.08473779","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/6)*z)\/((z**(5\/2)*z)\/z))**(2\/9) assuming z is positive.\nAnswer: z**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 5*n)*(2*n - 3*n - n)*(0*n + 4*n - 2*n + (-2 + 2 - 1)*(-n + 4 - 4) - 1 - 2*n + 1 + 772*n - 343*n - 235*n).\nAnswer: -1170*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93.72 and -0.2.\nAnswer: 18.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let o = 232 + -238. Determine p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-3 - -1)) + 99. Let b = -10 + 15. Let v = 14 - b. What is the highest common factor of u and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 5 - -2)\/(2\/8). Let f be 410 - (1 - k)*1. Suppose -11*x + 2359 = -f. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(343)*-2)*3)**2 + -1 - (sqrt(28) + 0 - sqrt(28) - (-5 + -2*sqrt(7)))*5.\nAnswer: -10*sqrt(7) + 10621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 19*g - 73. What is s(22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*b + 90*b = 3240 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d*w + d - 457*w + 7618 with respect to w.\nAnswer: 4*d - 457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2, 3452, 4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 69?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(2*g**4 + 3*g**4 - 3*g**4) - 4*g**2 + 5*g**4 + 4*g**2.\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130031, -260127, -390223?\nAnswer: -520319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111522134 (base 6) to base 4\nAnswer: 13310002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5734897097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((16 - 6) + -25).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 28 + 2 + -8 + -3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z + 5*z + 7 + 11*z**3 - 5 - 7*z**2 - 3*z**4 - 4*z**2 = 0.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u**4\/7 + 93*u**3\/7 - 174*u**2\/7 - 372*u\/7 - 24\/7 = 0. What is u?\nAnswer: -2, -1\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-25)*(-60)\/56. What is the second smallest value in 0.3, a, -1.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 30. Let k be ((-3)\/2)\/((-3)\/r). Factor 0 + 2\/5*n**2 - 2\/5*n**4 - 2\/5*n**k + 2\/5*n.\nAnswer: -2*n*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59675626 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 5*l**4\/4 - 8*l**3\/3 - 9. Find the third derivative of m(d) wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 520 + -241. Let b = z + -278. Let 5\/2*i - 1\/2*i**3 + b - 1\/2*i**4 + 3\/2*i**2 = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 25645704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.22795 weeks to nanoseconds.\nAnswer: 37030664160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(3 - (-240)\/(-81)) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1100*c**2. Let m(x) = 104*x**2. Calculate m(v(l)).\nAnswer: 125840000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {i: 1, c: 1, b: 2, h: 1, y: 2, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 18*n**2. Let f(o) be the third derivative of -33*o**4\/8 + 2*o**2 - 820*o. Determine f(q(b)).\nAnswer: -1782*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299) - (sqrt(2299) + 3)) - sqrt(2299))**2*5 - (sqrt(2299)*-1 + -3) - 5*(-5*(sqrt(171) + sqrt(171) + 1) + -5).\nAnswer: 98 + 161*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*f + 3*d, 2*d - 2 = 2*f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let l be b(2). Suppose -153 = l*k - 5*k. Suppose -4*v = -7*v + k. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 0*v**2 + 9 - 19\/3*v**3 - 3*v. Let q(d) = -1. Let c(r) = 4*q(r) - y(r). What is the derivative of c(g) wrt g?\nAnswer: 38*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 3\/40*t**6 - t + 0 + 0*t**4 + 0*t**3 - 1\/20*t**5 - 49*t**2 - 3\/70*t**7 + 1\/112*t**8. Factor n(c).\nAnswer: 3*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) 0 (b) -0.5 (c) -1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4018 is divided by 1984?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 29 - 11. Is -5 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23344 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992931?\nAnswer: 3, 29, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + d = 25, 4*m + 0*m = -4*d - 116. Suppose -7*f + 2*f = -175. Let k = f + m. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 4)*(3*h - h - h) + h + 0*h - 3*h)*(-67*h**2 + 85*h**2 - 40*h**2)*(-2 + 6 - 3)*(2*h + 3*h - 3*h).\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977 is divided by 191.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(114)\/sqrt(294) + -5.\nAnswer: -5 - 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30203, -120826, -271863, -483314, -755179?\nAnswer: -1087458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 226?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 * 1233\nAnswer: -443.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 2, c: 1, j: 1, y: 3, f: 3}. What is prob of picking 1 j, 2 y, and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**15)))\/s**10)\/(s**5)**(-38) assuming s is positive.\nAnswer: s**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/((18\/(-12))\/3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/7 + 2364*s**3\/7 - 113094*s**2\/7 - 120196*s\/7 + 230928\/7 = 0.\nAnswer: -2, 1, 51, 1132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 8965823*t**2 + 8964184*t**2 - 8 in the form f + a*t**2 + r*t and give a.\nAnswer: -1639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.05 (b) 3\/14 (c) -2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -28 (c) -0.4 (d) 44 (e) 6\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 + (-148)\/16. Let r = 10 + i. What is the nearest to -2 in 3, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738300434?\nAnswer: 2, 997, 370261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21476 and 1239?\nAnswer: 64428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -543441*i**4 - 434981 wrt i?\nAnswer: -2173764*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -291793, -1167145, -2626063, -4668547, -7294597?\n\"Answer: -291783*p**2 - 3*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 15*o + 19. Calculate g(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 24 = -5*n, 5*n + 5*z - 42 = -2. Suppose 4*p + 5*c = 84 + 158, -4*c + 8 = 0. What is the smallest common multiple of p and n?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 11:43 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*y - 5*g - 36, 3*y = 5*g + 36. Suppose -y = -3*z + t, -z + 7*t = 2*t - 18. Let m be 0\/(-2*z\/6). Solve -2*f = m, -f - 25 = -5*s + 2*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + z. Let p(k) = 78*k**2 + 4*k - 1. Let t(u) = p(u) - 5*s(u). Let o(b) be the first derivative of t(b). Is o(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18220 and 18219 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43420044 (base 5) to base 11.\nAnswer: 235397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 8*c**2 + 13*c + 4. Let u be y(-2). Find the third derivative of -256*d + 127*d + 129*d - 10*d**u - d**4 + d**3 wrt d.\nAnswer: -24*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -135, -116, -79, -18?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 8158 and 8821 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from yxyvyxyxxycvmyym.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 - 7*d**3 - 24*d**3 - 12*d**3 + 43*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(h + 2*h - 5*h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -758 - -1556. What is the tens digit of (-9)\/(-27) - k\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 560.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 3}. Give prob of picking 1 u and 1 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.035 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuxxtxxkktt. What is prob of sequence kk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 1:05 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121 - 155152032?\nAnswer: -155151511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 2 + 2*v + 6 - 5 + 0*v. Suppose -2 = 2*z + 5*t, 5*z + t = -2 + 20. Give p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 161*c**3 + 2*c**2 + 4*c - 16. Let d(v) = -322*v**3 - 5*v**2 - 7*v + 31. Let l(f) = 2*d(f) + 5*j(f). Find the second derivative of l(b) wrt b.\nAnswer: 966*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 9162.67?\nAnswer: 45813.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3943550.1*-7.\nAnswer: 27604850.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 162731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 16*m**2 + 39*m - 5. Give n(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3682.6 - 3683. Which is the smallest value? (a) -1\/4 (b) v (c) 6709\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -3*k - 100. Suppose 24*l = k*l - 12000. What is l rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 - 2*g + 2. Suppose -30 = -8*j + 3*j + 4*l, 5*j + 5*l - 30 = 0. Let x(h) = -1071*h + 7 + 3*h**3 + j*h**3 + 1064*h. What is 21*r(u) - 6*x(u)?\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2*t**2 - 1. Let p be g(-2). Suppose -5*y + 3 = -17. Let d = y + p. Solve 0 = 5*o + 3*x + 22, -o - 2*x - 18 = d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 37 = 11. Suppose -b = -3*s + m*b + 200, 0 = 2*s + 3*b - 156. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -625, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 20.2. What is the closest to p in -2, -1\/3, 3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.883716 minutes to nanoseconds.\nAnswer: 353022960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 - 4495*o**2 + 1344720*o - 133848000 = 0.\nAnswer: 275, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-136)\/7*-10 - 112\/392. Suppose -291 = -6*d + 5*d. What is the highest common divisor of d and v?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -14*n**3 + 3*n**2 + 8*n + 14. Let k(x) = -x**3 - x**2 - 9*x - 11. Let t(p) = -p**3 - p - 1. Let v(d) = -k(d) + 6*t(d). Give -3*q(o) + 8*v(o).\nAnswer: 2*o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 21*d + 12. Let w be y(10). Let r = 122 + w. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5746*n = -5726*n - 528700 + 120940. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 + 15*b. List the prime factors of d(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 314058.3km to millimeters.\nAnswer: 314058300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47092741?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 102805.5 to the nearest 100.\nAnswer: 102800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 33075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -19, 0.3, 0.06, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 643d + -8?\nAnswer: 6435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2317555 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, -0.3, -190\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084534636 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b + 1. Let k be l(2). Let v(a) = 8*a - 3*a**k + 6 + 5*a**2 - 3*a - 7*a**3 + 3*a**3. Let r(i) = -i**3 + i**2 + i + 1. Give -5*r(w) + v(w).\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -0.897.\nAnswer: -3.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/711900 and 179\/10170.\nAnswer: 711900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 10:16 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - h**3 - 2*h**2 + (h - 2*h - h)*(4*h**2 - 2*h**2 - h**2) - 2*h - h**3 + 2*h - 13*h**3 - 2*h**2 + 2*h**2 + 93 - 93 + 241*h**3.\nAnswer: 224*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3774*n**2 - 407*n - 814. Let t(i) = -37*i**2 - 4*i - 8. Let g(s) = -4*q(s) + 407*t(s). Let m(r) = -r. Give m(g(d)).\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 14*n**2 - 30*n + 18.\nAnswer: -2*(n - 3)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + k + 1. Let t be (-8)\/8 - (-1 - 2). Let d(h) = h + 1. What is t*d(c) - 2*p(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173768 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -27*z**3 + 3*z**2 - 16*z - 14. Let k(l) = -13*l**3 + l**2 - 7*l - 6. Determine -4*h(b) + 9*k(b).\nAnswer: -9*b**3 - 3*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345426 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -112693.28 rounded to the nearest one thousand?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2265950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3055 + 3083. Let g = 68 - 39. What is s in -69*s**3 - 4*s**4 + 24*s**2 + g*s**3 + 32*s + q*s**3 = 0?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 21 = -z, -2*g - 3*z + 9 = 0. Calculate the highest common divisor of 108 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)\/(l\/(l*l*(l*(l*l**(-11)*l)\/l)\/l*l)))\/(l**(2\/17)\/((l\/l**5)\/l)) assuming l is positive.\nAnswer: l**(-291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1374640992 - 0.95.\nAnswer: -1.0874640992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 17*a - 7. Let g be b(8). Let o(i) = 11*i**3 + i - 1 + 19*i**3 + 0. Let m be o(g). Calculate the highest common divisor of 150 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1822942*b**5 - 1788873*b**2.\nAnswer: -109376520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 156*a + 3010.\nAnswer: 2*(a - 43)*(a - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, r: 1, a: 2, t: 1}. What is prob of sequence yt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:00 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10072785028 and -2.1?\nAnswer: 10072785025.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40.5 in -0.4, -3, 278?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 1 + 1)*(-2 - 4 - 1) + 0*i - 3*i - i to the form b + q*i and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.04 + -0.06. Let c = u - -0.8. Sort -2\/7, c, -2\/3.\nAnswer: -2\/3, c, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125833, -125832, -125831, -125830, -125829?\nAnswer: -125828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237 + 4027\/17. Sort o, -1\/4, -2.\nAnswer: -2, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**3\/3 + x**2 + 2*x - 6. Let v be a(0). Let h = -0.28 + 0.08. What is the closest to h in 2\/7, v, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 3*m**2 + m + 3. Let r be n(-3). Is r equal to 7\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -722*c**4*i*r + 29090*c**3*i**2*r + 267*c**2*i**2 + 38*c**2 + 2*c*i**2*r - 2*i**2*r + i**2 - 2*i*r - i wrt c.\nAnswer: -17328*c*i*r + 174540*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2017492194 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((1620\/168)\/9)\/((-3)\/(-70))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/4))**(-8)\/(g*(g*g\/(g**2*g)*g*g)\/g)**(-25) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = 0. Let a(l) = l**2 + l - 1. Let f be a(h). Let q be (-36)\/24*2\/(-3). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-193530)\/63918 - -3) + ((-262)\/(-53))\/131?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6914319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.38 + -56.38. Suppose 0*o + 3*o = 0. Suppose o*z = 3*z. Put 0.1, r, 1\/6, z in increasing order.\nAnswer: r, z, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 463834 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/24*20\/14. Let d be (3 + -3)*(-2)\/(-6). Is r not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 1283 - 604 + 837 to the form h + k*v and give h.\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 34. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -55, -82?\n\"Answer: -27*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31824, -31824, -31826, -31830, -31836, -31844?\n\"Answer: -h**2 + 3*h - 31826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64941610 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 2100*j**3 + 551250*j**2 - 64312500*j + 2813671875.\nAnswer: 3*(j - 175)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 5. Let o be x(-5). Let r be ((-603)\/15)\/(2\/o). Suppose 0 = -3*p + 21 + r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five halves of a micrometer in nanometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(-1\/4))\/f)*f*f)\/f**7)\/((f\/((f\/f**6)\/f)*f)\/f**6) assuming f is positive.\nAnswer: f**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - w)*(-32 - 27 + 31).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/31681451 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let a(y) = y**2 - 3*y + 1. Let v be a(f). Let l = 34 - v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 12) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188179*k**2 - 51*k - 1641?\nAnswer: 376358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32464 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)\/o**6*o**(-3)\/(((o*o**(-10))\/o)\/o) assuming o is positive.\nAnswer: o**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -199115*q**2 + 328875.\nAnswer: -398230*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -60015\nAnswer: 4\/60015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**4 + a - a)*(8 - 8 + 25*a) - 2*a**5 + 1 + 0*a**5 + 8.\nAnswer: 98*a**5 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/((-42 + 23)\/(-7619)). What is s rounded to the nearest one hundred?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*h + 37 = 0, 0*g + 4*h - 32 = -4*g. Suppose 7*l = g*l. Suppose l = 3*a - 1 - 29. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 857.3 (b) -5 (c) 0.00805 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*k**3 - 21 - 2*k**2 - 53 + 74.\nAnswer: -157*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 354 = 16*n + 64. Solve -n*y + 13*w + 29 = 9*w, -2*y = -5*w - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/21*(-21)\/(-3). Let y be (0 - (2 - (-2 + x)))\/3. What is the smallest value in y, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671805960 a multiple of 9382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**5 + 2*r**2 + 431*r wrt r.\nAnswer: 60*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1717 divided by -44921\nAnswer: -1717\/44921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - b + 43 = -0, -p = 3*b - 47. Factor 4*y**2 - p*y - 72*y + 26*y + 88 - 5*y.\nAnswer: 4*(y - 22)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-2) - 1\/2. Let z = v - -55. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 5:15 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5232467?\nAnswer: 19, 275393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1447 + 1447.1. Let z = 852 + -11067\/13. Are c and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 38*c**2 - 11*c - 409. Determine w(-38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15538.22 years?\nAnswer: 15.53822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 5*m + 5. Let f(p) = -2*p + 11. Let u be f(6). Let w(i) = -8*i**3 - 2*i**2 + 1. Let v be w(u). What is o(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 16*o**2 + 2*o + 2. Let k(z) = -2*z - 6. Let i be k(-5). Suppose i = -4*x - 0. List the prime factors of f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(2) + sqrt(2) + 0)*4 + -1)**2.\nAnswer: -80*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361531446361\/4815 + -75084412. Let v = -33\/107 - g. Calculate the common denominator of v and 22\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.866*42.46\nAnswer: -418.91036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 at most -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13379828.\nAnswer: 2, 7, 11, 43441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397827, -795656, -1193485, -1591314, -1989143?\nAnswer: -2386972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(2*1\/10). Let w(u) = -4*u**2 - 307*u + 274*u + 10 + 3*u**2 + 8. Let c be w(-31). Calculate the greatest common factor of s and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 11\/6, -4, 0.06, 6\/5?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*-1 + -5 + 6*(-3*sqrt(684) + sqrt(684)) + -5)**2.\nAnswer: 1380*sqrt(19) + 90559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8709.934 + -8693. Let r = -17 + w. What is r rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 113457*o + 453840. What is m(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) 0 (c) -0.7 (d) -0.5 (e) -226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**12\/v)*v**(-2\/5)\/v*v**22\/v**(2\/35) assuming v is positive.\nAnswer: v**(334\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dd724 (base 14) to base 16.\nAnswer: 106484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - 1346\/7. Let n = 7\/12 - 1\/12. Which is the biggest value? (a) -4 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r - 10*r + 3*r)*(3 - 3 - 2*r + 1).\nAnswer: 34*r**2 - 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 2)*(0 - 1 + 4) + 0 + 3 - 4 + 3 + 0 - 2)*(y - 4*y + y).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1, 13, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(252)*-2 + sqrt(252) - sqrt(252)))**2 - (sqrt(252) - (2 + sqrt(252) + sqrt(252) + -1))**2)*2.\nAnswer: -168*sqrt(7) + 1528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/138*28 + (-6)\/69?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450240 a multiple of 1133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 420.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 40 = o + 4*o, -3*p = o + 11. Let v be ((1 - 1) + 1)\/1. Is 25 a factor of (-10)\/(0 + v\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from typbbp. Give prob of picking 1 p and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*h**3 + 25*h**3 + 9 - 7.\nAnswer: -59*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 15) in base 10?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 154, 145, 136, 127, 118?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 13*o - 14. Let d be t(2). Let w = 272 - 267. Sort d, w, -2.\nAnswer: -2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63684 is divided by 1805?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/9)\/m)\/m)\/(m**(5\/3)\/m))**(-2\/123)\/((m**(3\/2)*m**(-7))\/((m*m\/((m*m\/(m\/m**0)*m)\/m))\/m**(2\/3))) assuming m is positive.\nAnswer: m**(13003\/2214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-207018)\/(-279)*29\/(-406)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/7 + 3496*g**2\/7 + 17518*g\/7 + 21036\/7 = 0. What is g?\nAnswer: -3, -2, 1753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/496512 and 139\/248256.\nAnswer: 496512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.33, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 434903827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.156?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 + 3*q**2 - 5*q**2)*(1849 + 167 - 667) in the form j*q**2 + p + x*q and give j.\nAnswer: -1349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240349 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.8 and -15.8?\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - 105) + 18 + -10 + -11 + 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199032448 to the power of 1\/2, to the nearest integer?\nAnswer: 56560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/84 - 0)*(6 - 10)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x + 5*x - 65*x - 3*v = -5, 0 = 3*x + 11*v - 7 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1592, 11751, 39332, 93047, 181608, 313727, 498116, 743487?\nAnswer: 1058552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91 - 46 - 6*a - 48)*(3*a**2 - 2*a**2 + 2*a**2).\nAnswer: -18*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/13335075 and 8\/18669105.\nAnswer: 93345525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -38802*z - 193959. Calculate c(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*g - 210 = 0. Let b = 39 + g. Let m(c) = -c - 3. What is m(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/11 in 5, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 1526653476*f\/7 + 291333854472860322\/7.\nAnswer: 2*(f - 381663369)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -30.1. Let l = 3.9 + v. Suppose 0*u + t = -2*u - 9, -5*u + 5 = -3*t. Which is the smallest value? (a) 0 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155526033 to the power of 1\/2, to the nearest integer?\nAnswer: 12471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165690 by 6.\nAnswer: 27615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**2 + 6*l + 18. Let j be y(-3). Suppose v = 26 + j. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 + 4 - 4 + (-3*j - 3*j + 5*j)*(-4*j + 2*j + j) - 2*j**2 + 4*j**2 + 3*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:33 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82279 times 4?\nAnswer: 329116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010221 (base 3) in base 15?\nAnswer: 6e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-2))**(-11\/2))**25)**(-14) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 23696689.\nAnswer: -1\/23696689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**5\/20 + 3*m**4\/4 + 7*m**3\/6 - 7*m**2\/2 + 22*m - 69. Let i(k) be the first derivative of o(k). Give i(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80)*-1 - sqrt(80))))**2*-4 + -3*(2 + sqrt(125) - sqrt(125) - sqrt(125))**2 + -1.\nAnswer: 60*sqrt(5) + 39612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -307 - -324. Solve 4*f = -4*j - 20, -3*f - c = -3*j + 2*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -140, -2, 4, 3 in increasing order.\nAnswer: -140, -2, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41152, -82293, -123426, -164551, -205668, -246777?\nAnswer: -287878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 + 408. What is the greatest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1321924 or 1321817?\nAnswer: 1321817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26198450*g**5 - 29538001*g**2?\nAnswer: -1571907000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -409.01258 + 409. Round b to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127818376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 138, 140, 144, 150, 158?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -12686*m**3 - 27675*m + 6330*m**3 - 2099*m**2 - 916*m**2 + 6323*m**3 + 3*m**4 = 0?\nAnswer: -15, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -7148 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2046\/132)\/((-6)\/12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34295*u**3 + 54150*u**2 - 28500*u + 5000 = 0.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904\/137591 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13848676?\nAnswer: 2, 17, 203657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -185, -202, -225, -254, -289?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16385\/9831*(-24)\/(-10)*38\/8. Let u(t) = t**2 - 25*t + 111. Give u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3262 + -2319. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**5 + 24*z**4 - 444*z wrt z.\nAnswer: 60*z**3 + 288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3900 and 4524.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -701400 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:45 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 + -142. Suppose -j + 5 = -13. Let s be 8\/(-6)*j\/(-12). Solve -k - 10 = -s*v, -2*k - 3*k = -5*v + p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, -479, 3, -1, -4 in ascending order.\nAnswer: -479, -249, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 177660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. What is the second derivative of 6*n + a*n - 5*n + 5*n**3 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/15)\/(84\/(-525)*5)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11.93. Let b = -1.93 - n. Let w = b - -1.8. What is the second biggest value in 4, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*l + 15, -6 = 4*g + 37*l - 35*l. Let p(y) be the first derivative of 1\/2*y**2 + g*y + 11. Let d(v) = 23*v**2. Give p(d(t)).\nAnswer: 23*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34928 and 82128.\nAnswer: 3038736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 101)*((-42)\/10)\/(-3). Let c(r) = 56*r**2 - b + 278 - 145. Let x(z) = -5*z**2. What is c(x(m))?\nAnswer: 1400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/1300)\/((-36)\/52).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/60*4 + 62\/10. What is the tens digit of 7*(321\/i)\/(2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3786 divided by -1.\nAnswer: -3786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 96 = -13*m. Find the second derivative of 7*x**2 - 7*x**2 + 26*x**4 - 21*x - m*x**4 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 1451 = -416. Suppose -127 + n = -3*r. Calculate the smallest common multiple of 40 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**3 - 5*w - 6*w**3 - 13*w**3)*(370 - 19*w**2 - 370 + (4*w - 5*w - w)*(2*w - 2 + 2)).\nAnswer: 299*w**5 + 115*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u + 10. Let s(j) = j**2 + 7*j + 21. Let i(q) = 6*s(q) - 13*t(q). Let w(d) = 7*d**2 + 4*d - 5. What is 5*i(o) - 4*w(o)?\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -70*k**2 + 214*k - 5. Let z be v(3). Let i(c) = -12*c + 90. Give i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14815, -14820, -14825, -14830, -14835, -14840?\n\"Answer: -5*v - 14810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(84\/(-14070))\/(-1)*7\/(35\/(-10)).\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 2159933012\nAnswer: 2159933012.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -1) + (-74 - -84) + 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -10\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*l - 28 - 2, 0 = 5*l + 3*z - 46. Calculate the least common multiple of 18 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Suppose 0 = -15*h + 20*h. Let p(l) = -6 + h*l - 2*l + 0*l + 4*l. Let u be p(0). Calculate m(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32332900.10501 and -3?\nAnswer: 32332903.10501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5295*z - 5290*z - 14 - 4 + 10602*z.\nAnswer: 17*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5\/2 (b) 5 (c) -80 (d) -4 (e) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2055*d - 8216. Give x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -54. Suppose -b - 8 = 2*z, 18 = -3*z - 3*b - g*b. Is 2 a factor of (4\/9*-6)\/(z\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olkq when four letters picked without replacement from {x: 2, k: 3, o: 5, l: 5, q: 1}.\nAnswer: 5\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -19. What is the least common multiple of (-12)\/(-7) + t\/35 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8502224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*6*2\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 30 = 3*h - 2*t, -39 = -3*h + 4*t. What is the least common multiple of h and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6096125 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {v: 1, w: 1, j: 14}?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1001 - -4599. Find the third derivative of 3598 + 93*t**2 - b + 181*t**3 wrt t.\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 - 34*b**2 - 12*b - 88. Determine m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259232*s**3 + 7322*s**2 - 2*s?\nAnswer: -1555392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13*(-5)\/65)\/(1\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqw when three letters picked without replacement from qwqqwwwqqqwnqqwwvw.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 54 - (-20 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s + 0*s - 262 + 840 = 0 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -d10 (base 15) to base 6\nAnswer: -21340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444a38 (base 11) to base 3.\nAnswer: -1100001000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c + 1 - 4 - 3 + 5.\nAnswer: -72*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 112\/3299, -4, 0.0533?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose -5*y + n + 5 = u, -5*n + 35 - 8 = y. Suppose 6 = i - y. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/615 and 41\/132.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -103631.364 to the nearest 100.\nAnswer: -103600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311 - 246.4. Let f = 60.99 - r. What is f rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = h + 5*v, -3*h + 0*v + 53 = v. Suppose 14*x = h*x - 22. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.831189nm to centimeters.\nAnswer: 0.0000004831189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -17 + 0*b**2 + 11\/6*b**3 - 2*b. Let u(t) = 5*t**2. What is u(a(p))?\nAnswer: 605*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2*x**2 + 2*x**2)*(2*x - x - 5*x) + 652*x**2 - 26*x - 339*x**2 - 324*x**2 + 2*x**3.\nAnswer: 6*x**3 - 11*x**2 - 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let p = o + 2. Let w = -11 - -6. Sort w, -2\/7, p in descending order.\nAnswer: p, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, -5527, -2, 3, -5.\nAnswer: -5527, -5, -2, -2\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*i + 123 - 123)*(2 + i**2 - 2).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 3*t + 3*t - 7*t + 2*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652264094 to the power of 1\/3, to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**3\/6 - o**2\/2 - o. Let g = 9 + -5. Let m = g - 4. What is c(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 11 = 2*b. Let i = 9 + -12. Let o = i + -1. What is the biggest value in -2, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266.55 or 269.9?\nAnswer: 269.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372784 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 3. Let z be u(0). Suppose -15*b - 26*b - 4100 = 0. Let x = b - -105. Solve -z*q + 14 - 2 = 0, -x*f = q + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:33 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -5*z**6\/3 + 3*z**5\/5 + 37*z**4\/20 - 8*z**3\/5 + 2*z**2\/5 - 1. Let b(j) = 0. Calculate j.\nAnswer: -1, 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5768 - 5766. Solve -g*b - 14*b - 80 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1656 and 11\/11472?\nAnswer: 791568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -30134957.\nAnswer: -30134956.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -78*j**2 + 2*j + 23. Let d be f(-3). Is d > -684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-4 - 7) + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -68, -1, 442, -4 in descending order.\nAnswer: 442, 30, -1, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 158*p**3 + 4 - 62*p + 32*p**3 + 67*p. Let i = 136 + -137. What is the units digit of v(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3479 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/6)\/1)\/(11\/(693\/(-3)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - z**3 - 5 + 2 - 2*z**2 + 8*z - 7*z**2. What is the remainder when k(9) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7763 + 93061\/12. Let p be (-4)\/(-30)*(-213201)\/(-8). Let y = p + -3552. Calculate the common denominator of y and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/130*((-2390)\/(-2868))\/(10\/16)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*m**4 + 2*m**2 + 211166*m + 9423896 wrt m.\nAnswer: 48*m**3 + 4*m + 211166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*m - 2 = 0, -b - 1681*m - 14 = -1686*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 at most as big as -9930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25948880 or -25948879?\nAnswer: -25948879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 25*a - 86*a + 2*a**2 - 34.\nAnswer: 2*a**2 - 61*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96418828, 96418828, 96418814, 96418780, 96418720, 96418628, 96418498, 96418324?\nAnswer: 96418100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -12. Let p = i - 4. Suppose p*d - 20 = 1. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -66, -78, -90, -102, -114?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 15 = 15*q. Let h(s) = s**3 - s**2 - s. Let o(b) = -6*b**3 + 4*b**2 + 6*b - 8. Let g(m) = q*h(m) + o(m). List the prime factors of g(-5).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 225 = -9*d. Suppose -5*j = -13 + 3. Suppose -4*a + 118 = -j*a. What is the remainder when a is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323229690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12323 (base 4) to base 2.\nAnswer: 110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 300\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -9) + 7 - ((-17 - 8) + 20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.6674 days to minutes.\nAnswer: 67201.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -86229*g**2. Let r(d) = -376*d**2. What is r(o(t))?\nAnswer: -2795725605816*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 25, 39 = -9*w + 11*w - g. Solve -w = 5*o - h, -h + 119 = 122 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 4*u**2 + 6 - 5*u**3 - u**2 - 4*u. Let y(g) = -g**3 - g**2 + g. Let o(z) = q(z) - 5*y(z). Factor o(r).\nAnswer: 3*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 723368, 1446907, 2170446, 2893985?\n\"Answer: 723539*y - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 525707?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxcmcycmdxxx. Give prob of picking 4 x.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.5 (c) -0.05 (d) 214 (e) 24 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 23*q**2\/2 - 25*q.\nAnswer: q*(q - 2)*(q + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 8:27 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let n be y(-2). Let w be 1\/n*-6 + 10. Differentiate 6*r**3 - w*r**3 - 2*r**3 + r**3 + 3 wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -903137 bigger than -903141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:12 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 2 q when four letters picked without replacement from qeegqeenduud?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -383106251*r**6 - 582547283*r**2?\nAnswer: -45972750120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1004, -2006, -3018, -4046, -5096?\nAnswer: -6174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757*z**3 + z + 2546*z**3 + 6043*z**3.\nAnswer: 7832*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpgp. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*d + 111, -6*d - 4*m + 85 = -3*d. Solve 32*j - d*j + 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52327070 rounded to the nearest 100000?\nAnswer: 52300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 14. Suppose k + g = -4*q, 3*q = k + 4*k + 14. Let t be (q\/4)\/(3\/(-72)). Calculate the greatest common divisor of t and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 21*f - 14. Let v(k) = 2*k**2 + 43*k + 28. Let i(x) = 14*h(x) + 6*v(x). Let c be i(-17). Solve -6 + c = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6664 and -6668 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 3. Let q(c) = 16*c**2 - 10. Let n(f) = 3*q(f) + 10*r(f). Let p(s) be the second derivative of -s**4\/4 - s. Give n(p(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9794 + 3499. Let y = -15495 - a. Round y to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. What are the prime factors of (-4566)\/(-42) - (-2)\/7 - f?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/30 and -83\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/9)\/(8\/1662). Let q = x - -740. What is the common denominator of -5*-1*(-24)\/55 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/60 - 4*n**2. Let g be j(-1). Put -5, 0, g in increasing order.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 270\/15 + -14 + -2. Let r(x) be the third derivative of 0 - 1\/3*x**3 + 0*x - 1\/24*x**4 + 32*x**k. Calculate r(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1233032237?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + 0.52. Which is the second smallest value? (a) m (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*k = 21, 3 = -10*p + 14*p + 3*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/9)*(v*v**(4\/3))\/v*v*v\/((v**5\/v)\/v)*v**(-2\/13)*v**5\/(v\/(v**(-2\/3)*v))*(v*v*v\/(v*v**(-1\/4))*v*v)**50 assuming v is positive.\nAnswer: v**(50833\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8206044 divided by -2051511?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-7 - (-150)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 109 + 379. Let p = -106 - l. Solve 0 = -3*y - x + p, -5*x + 24 = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a = 0. Let x = -6 + 3. Let w be -1*x\/(-6)*-4. Solve 0 = h - k + 5, 5*h + a*h + w*k = -18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*w + 303*w**2 - 314*w**2 + 21*w)*(36*w**2 - 7*w**2 - 14*w**2).\nAnswer: -165*w**4 + 600*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*y**2 - 2*y**3 + 118*y**2 + 0*y**3 - 2*y**4 + 2*y in the form i*y**2 + j*y**3 + v*y**4 + r + w*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -74*u**3\/3 + 4*u**2 - 9*u + 14. Calculate the remainder when v(-2) is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(2*m - 9*m - 4*m) + 17*m + 1413 - 1413 + (2 - 1 + 1)*(-2*m + 3*m + 0*m).\nAnswer: 41*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*h + 20, 3*h = h + 3*t - 8. Suppose 0 = -2*u - 4*v - h, 4 = -5*u + 4*v - 1. Let o = 26 + u. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 11*i + 10. Let t = 8 + 15. What is the least common multiple of x(-11) and t?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 155\/10 - (-3)\/(-6). Suppose 4*q - 148 = 4*w, -4*q - 4*w + 161 = 53. Let x = 88 + q. What is the greatest common factor of l and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/6 + 7*v**3\/3 - 13*v**2\/2 + 14*v. Let a be k(-8). Suppose a*l = 171 - 45. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -332. Let k = -9959683.00103 - -9959933. Let y = w + k. Round y to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 39*t - 237. Give i(-11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163124, 327755, 492386?\nAnswer: 657017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 7. Let i = 2\/489 + -2449\/978. Put 1\/5, i, z in descending order.\nAnswer: 1\/5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 6*h**2 - h + 39190. Let v be d(0). Suppose 5*k - 2*u - 39199 = 0, -k + v = 4*k - 5*u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 9*d + 8. What is the remainder when 587 is divided by h(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 114175 - 114175.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-16) - (9519\/276 + -36)\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224561 is divided by 854?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzcj when four letters picked without replacement from {c: 1, k: 7, i: 1, z: 1, f: 2, j: 2}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6440 divided by -4?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -61*b - 6. Let m be i(-6). Let a be 3\/((-940)\/(-30) - 31). What is the greatest common factor of m and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4346 is divided by 862?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3600 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 18*z**2. Let i(o) = -14*o**2. Determine i(j(y)).\nAnswer: -4536*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 (base 8) in base 13?\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 6*o - 6664930 = 12*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (2 + sqrt(272)*6)**2)*-2.\nAnswer: -19592 - 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8053.\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 5*m + m)*(-5 + 9 + 1)*(-2 + m + 2).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 66. Let q(b) = -15*b - 17*b + 1 + z*b**2 + 38*b. Let w(k) = 3*k**2 + 3*k + 1. Let m(d) = -4*q(d) + 9*w(d). Give m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -22 in descending order.\nAnswer: 0, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, q: 3}. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/6)\/((-3)\/10). Solve 0 = -d*v + 15, 2*a = -2*a - 3*v + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(-2 + (4*sqrt(192)\/sqrt(4) + sqrt(48))**2) + -3*(sqrt(192)*-1*4)**2).\nAnswer: -15206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Suppose 4 = 5*x - i + a*i, 0 = -4*x - 4*i. Suppose 5*w - 3*f - 42 = 0, 2*w + 4*f - x = -5. Calculate the remainder when 15 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liihiolhihii. What is prob of picking 4 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/70 + -19\/70. Let x = -0.3 - -3.3. Put y, -3\/5, x in descending order.\nAnswer: x, y, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(29\/42)\/29*(-4)\/50.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10385*l**2 - 2*l - 17095 wrt l.\nAnswer: -20770*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/17 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/1 - -2) + 8. Suppose i - x = -3*i. Let m be (1 + (i - 1153))*400. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*v - v**2 - 14*v + (0 - 1 - 1)*(v**2 + v**2 + 0*v**2) + 0*v - v**2 + 0*v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*(-1 + sqrt(117)) - (sqrt(117) - (sqrt(117) + sqrt(117) + -1))*-3)**2 + 4 + 0)*-4.\nAnswer: -24*sqrt(13) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**7\/210 - b**6\/120 - 14*b**5\/15 - 67*b**4\/12 + b**3\/6 - 1336*b**2 + 2. What is the second derivative of u(x) wrt x?\nAnswer: 12*x**2 - 6*x - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1995, -3029, -4097, -5217, -6407, -7685, -9069?\n\"Answer: -3*o**3 + o**2 - 1016*o - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 3. Is (-23)\/(1 - (-4 + n)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/8 > 1\/8745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3\/3 + 6704*x**2 - 33674167*x - 1012237210\/3 = 0.\nAnswer: -10, 10061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 2. Let c be p(-2). Let t be 4\/(-12) + 2\/c. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(204)*3)\/sqrt(12) + sqrt(17) + sqrt(17) + (sqrt(272) - sqrt(272)*-2)))**2.\nAnswer: 122825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 4*s**3 + 31*s**2 - 7*s**3 - s**3.\nAnswer: -6*s**3 + 31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10012 (base 3) to base 10\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25937120863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a century?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 20. What is the lowest common multiple of 10 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 17, 10, 2 in increasing order.\nAnswer: -12, 2, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2a74 (base 13) to base 12\nAnswer: -36ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292\/328 + 10 + (-1088)\/17 + 47?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30105159 a multiple of 3418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-5)\/(-2))*-86. Let d = -50 + u. Let t = 13 - d. What is the smallest common multiple of t and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/3 - 14. Suppose -q = -5 + 9. What is the nearest to u in 2\/5, q, 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from howwhhoohoho.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76\/35 - -5851\/1260. What is the common denominator of 29\/32 and y?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-232.53.\nAnswer: -1162.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**2\/2 + 2*q + 2. Let s(f) = f**2 - 5*f + 6. Let a be s(5). What is the remainder when 29 is divided by h(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*n - 31 = 0, 4*h + 104 + 32 = -2*n. Let p = h + 40. Put -1, p, 7 in increasing order.\nAnswer: -1, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/15)\/(271784\/(-1060) - -258)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23102454 (base 6) in base 13?\nAnswer: -1ba48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, l: 3, m: 1}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40811 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/((42\/(-28))\/(36\/(-120))) - (-54 + 2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32107521 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17 + 2*o**2 - 95*o - 213 + 289*o.\nAnswer: 2*(o - 1)*(o + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m + 3262 = -3011. Suppose 200*s = 183*s + m. What is the remainder when (-2)\/6 - 590\/(-6) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99350770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 1, j: 2, x: 1, n: 1}. Give prob of sequence vjd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1441.2 - -1447.057. Let f = g + -0.177. Round f to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*o - 692 = o, 2*f + 4*o = 464. Let x = -7803 + 8032. Which is bigger: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**4 + 6 + 4 + 1 + 2*x**2 - x**4 - 10 + x**3 - 8*x in the form d*x**2 + t*x**3 + j*x**4 + o*x + s and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**6*z + 78*o**6 + 6*o**3*z - 9752*o**2*z - 3*z wrt o.\nAnswer: -360*o**3*z + 9360*o**3 + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = -13*s - 3*g + 11, 2*g = -s + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 310\/(-465)*(-306)\/(-646)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 11) to base 15.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0 - 161*d + 1\/6*d**3 + 177\/2*d**2. What is the first derivative of c(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*y**2 - 54002 + 54002.\nAnswer: -169*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 118*a**3 + 4*a - 34*a**3 + 28*a**3.\nAnswer: -124*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -81 (b) 0.2 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20261 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 230582, 230894, 231206, 231518, 231830, 232142?\n\"Answer: 312*g + 230270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*-6 + sqrt(170) - sqrt(170)) + sqrt(170) + -1*sqrt(170)*2)\/((sqrt(480) - -2*sqrt(480) - sqrt(480))\/sqrt(12) - sqrt(1960)*-1).\nAnswer: 11*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose -2*l + 125 = w*l. What is the highest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 11. Give w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6002*x**2 + 2*x**4 + 0*x**3 + 6003*x**2 + 4*x - 28*x**3 + 6 as u*x**3 + o*x + f*x**4 + t + i*x**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 - 2*i**2 + 0*i**2)*(1 + 2*i**3 - 2*i**2 - 1).\nAnswer: -14*i**5 + 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 43*n**2 - 12*n + 515. Calculate s(43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503482 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 1, o: 3, j: 2, a: 4}. Give prob of picking 1 b, 1 f, and 1 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 118*2\/(5 + -3). Let v = n + -35. Suppose -4*t = 2*l - 48, -4*l + t + 4*t + v = 0. What is the remainder when 63 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -11*p + 75. Let h = -5 + p. Suppose -9*x + 4*x = -h. Solve -9 = -x*s - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.07, -933, 0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -472 - 4563?\nAnswer: -4a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 291143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32910327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829710539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2929520889?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13613755.\nAnswer: 5, 2722751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + (2 + sqrt(500) - sqrt(500)))*-1*6)**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -72.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*u - 147 = -430*u. Calculate the remainder when 181 is divided by 98\/4*(-8 + 476\/u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 + -1a1a4?\nAnswer: -1a0c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 940 divided by 4.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/7 + 558*f**3\/7 + 77281*f**2\/7 - 22320*f + 11200.\nAnswer: (f - 1)**2*(f + 280)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + 2 + 0*m + 13*m**2 - 1 - 4*m. Let g(i) = -2*i**2 + i. Determine -9*g(z) - 2*y(z).\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - -50)*(0 - 2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24747578*o*s**3 - 6*o*s + 247*o - 14*s + 85 wrt s.\nAnswer: -148485468*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4761*b**4 + 1886*b**3 + 220*b**2 + 8*b = 0 for b.\nAnswer: -2\/9, -2\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*((-8)\/(-10))\/(44\/220)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -107, -135, -163?\n\"Answer: -28*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2187.573ml to litres.\nAnswer: 2.187573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1540 or -1543?\nAnswer: -1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d. Let m be (-9 - 0) + (1 - -4). Let l(h) = -2*h + 4. Let p = 3 + -2. Let y(r) = 1. Let g(a) = m*y(a) + p*l(a). Determine z(g(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2326)\/3489*(-138)\/(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -27. Let p = m + -9. Suppose 0 = 3*g - 11 - p. Calculate the greatest common factor of 21 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/24)\/((4625\/(-1110))\/((-1680)\/(-36)))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16662)\/(-344348)*310\/(-6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3780*d + 3545*d - 5405 = 0 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 1. Let h = 0.4 + c. Is h smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 38. Let m = s + -37. Let f(t) = -7*t + 1. Calculate f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2119 - -227. Let v = r - -1835. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44021426.681 - 140.\nAnswer: -44021566.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from uxux?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1507315 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**7\/4410 - 23*i**6\/1260 - 67*i**4\/24 - 69*i**2. Let g(s) be the second derivative of z(s). Factor g(h).\nAnswer: -4*h*(h + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28492 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -382 (base 15) to base 8.\nAnswer: -1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 2, -5, 1, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2404, 4, 0.12, -4 in increasing order.\nAnswer: -4, 0.12, 4, 2404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u - 2. Let a(r) = 24*r - 4. What is 4*a(b) - 11*t(b)?\nAnswer: 8*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.69 - 1.72. Suppose 0 = f - 2*f + 5*j - 18, 2*f + 5*j - 9 = 0. Which is the closest to l? (a) -0.3 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -808*w + 4887. Let x = 24 - 16. Calculate the remainder when a(6) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7\/4)*q**(5\/2)*(q*q**(1\/13)*q*q*q)\/(q**(-12)\/q))**(-15\/7))**12 assuming q is positive.\nAnswer: q**(-41715\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 31. Let a = g - 15. Let v be 2 + (a\/2)\/(-3). Solve 2*x + 4*k = -2*x, v = 4*x + 5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3305 - -9914\/3. Which is the second smallest value? (a) -71 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 16 = 2*q + 25, 0 = -5*q - 19*x + 21*x + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*j = 203*j + 5*a + 49, 3*j - 19 = 3*a + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42123 (base 7) in base 10?\nAnswer: 10356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3120\/4875)\/((32\/(-10))\/(-4))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h. Let g(r) = -r + 1. Suppose 0 = -3*y - 24 + 33. Let d(v) = 2*v - 1. Let s(q) = y*d(q) + 3*g(q). Calculate s(j(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1666 and 16269323.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 47, 0.5, -1\/3, 4, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let t be 3*1 - (1 + o). Let a be 10 - (t - 6\/(-2)). What is the highest common factor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 1\/4 (c) -2419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7959926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 2*h + 27. Let k = -83 + 89. Let x be v(k). Put 0, x, -2, 5 in decreasing order.\nAnswer: 5, x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 794*b + 2444. What is l(-4)?\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 44 = -0*x + 2*k, 0 = 2*k + 4. Calculate the smallest common multiple of 4 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/14 - (39\/7 + -6). Calculate the remainder when (h\/5*-3)\/(63\/1470) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 16*p - 560. Let b be q(36). Calculate the greatest common factor of 248 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c - 4. Does 15 divide ((-30)\/c)\/(8\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-160) + 19\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4))\/((-265)\/4664)*3\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 42\/(-49) - (-5)\/63.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46417 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26692 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ojjjojoj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 248 - 239. Suppose 22*v - 4550 = p*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 358392025837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34806.\nAnswer: 2, 3, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuwpuuuuuuuuu. Give prob of picking 1 w and 2 u.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7987.2372 microseconds?\nAnswer: 0.000002218677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 60*u**2 - 33*u + 4. Let t(o) = o**2 - o + 1. Let a(y) = -3*t(y) + x(y). Find the second derivative of a(p) wrt p.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 18 = 42. Suppose -5*o + 10*o = u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:29 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19026 by -9513.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1334 and -85\/46.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*x = 11, 3*w = -2*w + 5*x + 10. Let d = 4 + w. Let t(u) = 1 - 1 + 1 - 4*u**2 - 4*u + u**d. Give t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 + 9 = 4*n, 3*n = -q + 17. Solve 0 = -4*j + 3*j - n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67692*w**4 - 45*w**3 - 1770923*w - 2?\nAnswer: 812304*w**2 - 270*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-4)\/(-8)*-6). Let r be 9\/6 - 2\/(-4). Solve 20 = -5*h, c - h + f = r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 42 = -v - 61, -3*f = -5*v - 73. Suppose -y = -2*y + 3*u + 10, -u = y - f. 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: Collect the terms in 12*m + 26*m - 235*m + 169*m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-162))\/(15\/(-18))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (-25603)\/(-9) - (5 + 0). Let c = 2853 + w. What is the common denominator of 16\/67 and c?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -13*o**2 + 10*o + 13. Let y(g) = 7*g**2 - 5*g - 7. Let j(f) = -6*t(f) - 11*y(f). Calculate j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -125829 and 0.19?\nAnswer: -23907.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20482.73 and -1.2.\nAnswer: -20483.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(9\/(-48)*34). What is the third biggest value in l, -3\/4, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -3, -13, -840, 3.\nAnswer: -840, -13, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 7:07 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = -11. Let x(t) = t**2 + 97*t - 171*t + 69*t - 2 - 1. Let f(w) = w**2 - 6*w - 3. Calculate a*x(l) + 3*f(l).\nAnswer: -l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssxv when four letters picked without replacement from sgvbsbsgrxbgx?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 1 - (-7)\/(-7). Suppose o*s - 4*s = 153. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-45)\/(-150)*(-93)\/(-9). Let f = 0.456 + -0.756. Which is the second biggest value? (a) f (b) 0 (c) k (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 78 = -0*w. Let r be ((4 + -2)\/2)\/(27\/w). Which is greater: r or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(9\/4)*-6. Calculate the greatest common divisor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w + w**2 - 2*w + 4*w**2 - 3. Calculate the remainder when 61 is divided by r(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1161 - 0.5161. Which is the smallest value? (a) m (b) -44 (c) 1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - -15. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Suppose -y - o = -2*y. Suppose 2 = 4*v - y. Let q(f) = -7*f**2. Calculate q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39326? (a) -1\/287 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20310 = 2*s + 2*s, 3*s - 15243 = 3*r. Suppose -s = -2*k - k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 80 = -8*x. Let i be 206\/(-4) + (-10)\/x. Suppose -3*u - 137 = -0*u - 4*m, -2*m = 3*u + 161. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192211441?\nAnswer: 192211441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x - 5*h - 11 = 0, -4*h - 19 = 5*x. Let b be (-18)\/(-15)*10\/x. What is the tens digit of 24\/(-9)*51\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4123*a**3*g**3 + 3*a**3*g - a**2*g**3 - 2*a**2*g**2 - 8575*a*g - 3*g**3 wrt g.\nAnswer: -24738*a**3 - 6*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:23 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) 0.7 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 5*z - z + (2 - 2 + 1)*(-3*z + 4*z + z) + 3*z - 7*z + z + z - 6*z - 4*z + (-4*z - z + 4*z)*(0 - 4 + 3).\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2 - 41*(-55)\/(-205)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from fqfvhvqvhvvv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = -3*h - 6, 6 = 2*h. Suppose -a*n - 2*j = 2*j - 40, 22 = n - 3*j. Calculate the highest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 14, 20, 26, 32?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/15)\/(4\/10). Suppose -y - q = -14. Round y to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.3 - 41.3. Let i = 3 + 0. Sort h, 11, i in ascending order.\nAnswer: h, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 2. Let f(m) = 10*m - 4. Calculate -2*f(s) - 5*y(s).\nAnswer: 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, t: 1, l: 1, a: 1}. What is prob of picking 1 a and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*a - 23*a - 3, -17 = -5*m - 4*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158589*m + 52859*m + 2*m**2 + 52860*m + 52870*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o = 15*o + 57 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174400822*n - 108148887 wrt n?\nAnswer: -174400822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 85. Let y(i) = i**3 + 9*i**2 + 6*i - 14. Let f be y(-8). Let p = f + r. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2, 9\/8, 0.432, -55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 471 + -448. Put 3, -5, h in increasing order.\nAnswer: -5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 9\/2*j**4 - 25\/2*j**2 + 1\/2*j**5 + 15\/2*j**3 + 0 + 0*j = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.009 - -0.309. What is the second smallest value in -0.4, 1\/11, 1\/4, w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u - 37. Let y = -17 - u. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 116728870 = -4*p + 8183974, z = -3*p + 93684634. Suppose -8*r = -0*r - 132225696. Let a = p - r. What is a rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39976 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/3 + 70*b\/3 + 500\/3 = 0 for b.\nAnswer: -25, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/7 - 786*f**3\/7 - 29410*f**2\/7 - 33450*f - 535000\/7 = 0. Calculate f.\nAnswer: -25, -5, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/15 - 11*y**4\/24 + y**3\/3 + 2*y**2. Let q = 15 + -26. Let a(u) = 2*u**2 - 6*u + 1. What is q*a(p) + 6*w(p)?\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -63651?\nAnswer: 31825.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by -131.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2792977*g**5 + 7131100*g**2 wrt g?\nAnswer: 167578620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i = -56*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95817, 95813, 95807, 95799, 95789?\nAnswer: 95777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/60 - z**5\/5 - z**4\/8 - z**3\/6 + 121*z**2. Find the second derivative of a(k) wrt k.\nAnswer: 12*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 - 10884*d**3 - 120240*d**2 + 61350400*d - 1570176000 = 0?\nAnswer: -90, 40, 5452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 18977.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3965*x - 13 + 29 + 10 + 3952*x as n*x + w and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 47. Let m be q(-19). List the prime factors of m + 5 + 43*2.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (-3082750)\/(-1947)*((-28)\/(-1) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**3 - 3*n**2 - 2 + 11 + 0*n**2. Let b(q) be the first derivative of 5*q**4\/4 + q**3 - 8*q + 2. Let t(v) = 5*b(v) + 4*l(v). Factor t(s).\nAnswer: (s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 79*p**2 - p + 1. Let m = 5 + -4. Is n(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 + -134.1. Let z = 138.999276 + d. What is z rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -2\/13, 1.46, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*z - 14 + 14)*(-9*z + 19*z - 8*z + z**2 - 3).\nAnswer: 35*z**3 + 70*z**2 - 105*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 6*a - 60. Solve z - a = 6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360737.6852 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -502408.48 rounded to the nearest 1000?\nAnswer: -502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1324.1 + 1324. Which is greater: -3\/412 or w?\nAnswer: -3\/412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-12 - -13) + 5 - (-2 + 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 236*u**3 - 13460*u**2 + 13672*u - 448 = 0. Calculate u.\nAnswer: 2\/59, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1868247 is divided by 694?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 80*c + 1200 = 0. Calculate c.\nAnswer: -30, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 7413.8 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 20*b**2 + b + 25. Let i(v) = -20*v**2 - 30*v. Let w be i(-2). Let u be q(w). Put 21, u, 1 in descending order.\nAnswer: 21, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92769 is divided by 7135?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -16. What is the least common multiple of 34 and b?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329*s**4 + 48*s**2 + 4*s?\nAnswer: -7896*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 152900 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + h - 1 = -4*h, 4*u - 2*h = 14. Let o(f) = 74*f - 98. Let k(c) = -75*c + 95. Let a(v) = u*o(v) + 5*k(v). What is the first derivative of a(b) wrt b?\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5 + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 3*q**2 - 68*q + 716. Determine t(9).\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -4*t + 4*y - 100, -5*y = 25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/1200)\/(14\/(-10))*(-4)\/256*-6.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/224*(-13536)\/(-1269).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 5*c**4 - 3 - 3*c**3 - c - 3*c**4 + 4*c as q*c**4 + o*c**2 + s + g*c + u*c**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2\/5*s**5 + 2\/5 - 4*s**3 - 2*s + 2*s**4 + 4*s**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20034.4869 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 = 30. Suppose -5*r - l = -1004, -s*r + 820 = -0*r + 5*l. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22479 - -52834. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(343))**2 - sqrt(343) - (1*sqrt(343) + 2)) + -1 + ((sqrt(343) - (3 + sqrt(343))) + -1 + sqrt(343))**2.\nAnswer: -56*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + 38602?\nAnswer: 38582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 806602535 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c - 12. What is w(9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2955, 11816, 26581, 47250, 73823, 106300, 144681?\n\"Answer: 2952*w**2 + 5*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w - 6. Let k(q) = -q**2 + 6*q + 92. Let p be k(0). Let a(b) = 63 + 30 + b - p. Give 5*a(u) + j(u).\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.8647 and -4\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3\/38))**(16\/5))**29)**21 assuming n is positive.\nAnswer: n**(-14616\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express -601*f**2 - 1146 + 1146 in the form h*f + o + g*f**2 and give g.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 18*d. Suppose -4*w = -7*w + 45. Suppose 0 = 5*j + w, -5*j - 10 = -2*n - 3*j. Let s(o) = n*o**2 - 18*o + 18*o. Determine u(s(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 - 51*y.\nAnswer: 3*y*(y - 68)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/630 + 2*i**6\/45 - 8*i**5\/15 + i**4\/6 - 2*i**2. Let j(h) be the second derivative of t(h). Factor j(v).\nAnswer: -4*(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-50)\/(-30))\/5)\/((-2)\/(-48)). Solve -y*q - 25 = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsssssssssslsw. What is prob of picking 1 w, 1 l, and 2 s?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2763 = 4*h - p, -3*h - p + 2071 = -3*p. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 21*n - 243\/4.\nAnswer: -(n + 3)*(n + 81)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 568*c**5 + 3*c**3 + 6*c**2 + 286*c. Let u(k) = k**5 + k**3 + 2*k**2 + k. Let w(g) = -3*u(g) + x(g). What is the second derivative of w(v) wrt v?\nAnswer: 11300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1054*i**4 - 172*i**4 + 592*i**4 - 207*i**4)*(5 - 3 + 0)*(-2 + 3*i + 5 - 1).\nAnswer: 7602*i**5 + 5068*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 27*z. Determine i(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(-5 + -2*sqrt(2448)))**2 + 3.\nAnswer: 6480*sqrt(17) + 245532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (22 - (-7 + (-15 - 16))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/60 and 13\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:00 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.444 - -11.044. What is the third biggest value in q, 571, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2728, -2, 3, 2.7, 0.005.\nAnswer: -2, 0.005, 2.7, 3, 2728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 530*r**2 - 10*r - 529*r**2 - 8*r to the form s*r + x*r**2 + q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17685 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3076910 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 13*y**5\/60 - 5*y**3\/2 + 8*y**2. Differentiate z(p) with respect to p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3\/2 + b**2\/4 + 6*b - 1 = 0.\nAnswer: -2, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and 115\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -20*l - 81. Let g be s(-5). Let n = 417 - 398. What is the highest common factor of n and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/7 (b) 154 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 1. Let i = -1 - 5. Let t be h(i). Is 30 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-3) + (-20)\/(-5). Is 6 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40364*c - 5 + 40595*c + 1)*(-7 + 1 + 1)*(-1 + 1 + 3 + (0 - 4 + 2)*(6 - 4 - 1)).\nAnswer: -1155*c + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -37*m**2 - 211*m + 26. Calculate b(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, 7, 2, 17 in decreasing order.\nAnswer: 269, 17, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682677758?\nAnswer: 2, 7, 463, 105319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 18 = 2*o + 5*q, q = -3*o + 9. Let t(y) = 2 + y + 5*y - y. Is t(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -13*q**7\/42 + 2*q**4\/3 - 13*q. What is the third derivative of b(y) wrt y?\nAnswer: -780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 8, -8 = -4*t + 3*b + 36. Let y(v) = v**3 + 7*v**2 - 12*v + 22. Let z be y(t). Suppose 5*m = z + 64. List the prime factors of m.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2657.37699ns?\nAnswer: 0.000000000030756678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 21. Let r be ((-5)\/q)\/((-1)\/(-10)). Let j = -2617 + 2620. Solve r*a - 22 = j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 396298288.\nAnswer: 1\/99074572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmjmmmmjmnmmmmmnnmj. Give prob of picking 1 m, 2 n, and 1 j.\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -37, 0.04, -12.467?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, 0*c = 2*o - c - 7. Let n = 4 + o. Suppose 0 = 2*u, 5*h = 5*u + 39 - 9. Is n >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91197 is divided by 707?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73368440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/616 and -89\/43736.\nAnswer: 43736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -201.1\nAnswer: -603.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3609.29 micrometers in meters?\nAnswer: 0.00360929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 >= 218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*n = 5*d + 4, 4*n - 15 = -3*d. Solve o = -r + d, 3 = o + 4*r - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -27 + (16 - -1 - 13) + -50 + -1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 7. Let d(v) = v - 6. Calculate -6*d(j) - 5*m(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50105)\/40084)\/((-5)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064200.\nAnswer: 2, 3, 5, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/3)\/(-8))\/(1\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, a: 1, b: 1}. What is prob of sequence mm?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0 (b) -2\/7 (c) 7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138384428, 138384427, 138384426?\nAnswer: 138384425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 84.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11808 is divided by 1473?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, q: 2, e: 3, w: 5}. What is prob of picking 4 w?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/19 smaller than 0.89104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36446*h**5 - 19961*h**2 wrt h?\nAnswer: 2186760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75106093 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - z - 6. Let n = -4 + 4. Let p be x(n). Let b be -1*(-3)\/p*0. Solve b = -0*i + i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -5*t**2 + 0*t**3 - 1\/1050*t**7 + 0*t**4 + 1\/300*t**5 + 0 + 0*t + 0*t**6. What is a in o(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-192)\/54))\/((-38)\/(46816\/(-132))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let q = -1505 + 1503. Which is the biggest value? (a) -4\/5 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -13. Let x be (-1 - (-6)\/i)*-3. Let w(z) = -z**2 + 2*z - 1. Let t(b) = 8*b**2 - 9*b + 5. Let h(r) = t(r) + 5*w(r). Determine h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 6653 = 6583. Let c(w) be the third derivative of -w**4\/12 - w**3\/6 - 2*w**2. Let u be c(-2). Solve -2 + n = -u*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 7. Let x(r) = -3*r - 3. Let t(a) be the first derivative of -a**2\/2 - 1. Let w(i) = 4*t(i) - x(i). Calculate -5*w(u) - 2*y(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0 - 1\/12*m**4 + 9\/2*m**2 - 5\/6*m**3 + 3*m. Let x be ((28\/3)\/(-2))\/((-16)\/(-24)). Determine w(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/3)*l*(l*l\/(l*l*l\/l**6))\/l)**15 assuming l is positive.\nAnswer: l**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*q + 4*h, 6*h = -5*q + 2*h + 16. Let r = 3970 + -3966. Let p(g) = g**2 + 12*g - 20. Let c be p(-14). Solve c = -r*z - q*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17*u**2 - 480*u - 1456. Determine z(-3).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 769974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003311 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 less than 0.0159198?\nAnswer: -25.9840802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(66)*-6)\/sqrt(6))**2.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 197234*g - 197230*g - i, -17*g = -5*i + 27 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*d. Let l be 2\/d*(8 + -3). Solve 0 = l*u + r + 12, u - 4*u = -5*r - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333355.739 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7183.079 millilitres?\nAnswer: 7.183079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.0765, -0.1, 0.3, -5, 0.1 in increasing order.\nAnswer: -5, -0.1, -0.0765, 0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -15, -34, -59, -90, -127, -170?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173012 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5191 + 5235 - q**3 - q**3)*(-7*q**2 + 2 - 2*q**2 + 7*q**2).\nAnswer: 4*q**5 - 4*q**3 - 88*q**2 + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 - 5*y - 1. Calculate v(4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6266192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -79333 and -0.7.\nAnswer: -79333.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 82 (c) -4 (d) 2\/9 (e) -16\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15842672 not equal to 15842672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-4))\/(-9*20\/(-720)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01688699435 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*s + 3*s + 5*g, 5*g = -4*s - 21. Let p(l) = 58*l**2 + l. Let y(x) = -x. Let b(t) = s*p(t) + y(t). Let i(v) = -v. Determine b(i(h)).\nAnswer: 58*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 50204+-0.04657\nAnswer: 50203.95343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-3) - 2\/(-3). Let l = -10.3 + 11.1. Let f = 4.2 + l. Sort f, 1, r in descending order.\nAnswer: f, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 37) + 10\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 3*f + 12, 0 = 2*f + 3 - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) + 26\/10. Let q(x) = 11*x - 3. Let l(h) = 32*h - 7. Let z(o) = 73*o - 16. Let j(g) = 9*l(g) - 4*z(g). Give r*q(f) + 8*j(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(3*g - 3*g - 2*g) + 0*g + g - 3*g - g - 4*g + 0*g + (176*g - 106*g - 811*g)*(-2 + 2 + 1).\nAnswer: -750*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - 2*y**2 + 2*y. Let i(g) = -5*g**3 - 4*g**2 + 4*g + 1780. Determine -2*d(s) + i(s).\nAnswer: -s**3 + 1780","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3393 and 67\/1744704.\nAnswer: 50596416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(77)\/(-4*sqrt(7)))*-1.\nAnswer: sqrt(11)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e50 - 15?\nAnswer: e3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 13*h**4\/3 + h**2. Let p(i) = i**2. Give p(k(y)).\nAnswer: 10816*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcn when three letters picked without replacement from nnlcvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18660821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 17 = 3*q, -q + 2 - 29 = -4*d. Suppose 0 = -d*h - 0. Suppose h = -17*m + 5 + 12. What is the third smallest value in 3\/7, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 6, -11, 1\/5, 334?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1701643991 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1 (b) -2\/5 (c) 1\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from akka?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)*j)\/j**(-2\/49)*j\/((j*j**5\/j)\/j)*j**(1\/7)\/j assuming j is positive.\nAnswer: j**(-971\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 422581 or 422580?\nAnswer: 422581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005244751 rounded to seven decimal places?\nAnswer: -0.0005245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:18 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(2 + sqrt(22)\/sqrt(2) + 4*(sqrt(11) + 0) - (sqrt(132)\/(sqrt(24)\/sqrt(2)) + 5*(sqrt(99) - sqrt(11)))))**2.\nAnswer: -48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -461.84 to zero decimal places.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)*z**(-1\/8)*z)\/(z**(-8\/9)\/(z**(4\/13)\/z)) assuming z is positive.\nAnswer: z**(10765\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12827 is divided by 1421?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -64*y + 685. Calculate h(7).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(5\/2)*w*w)**17*w**(-1\/4)\/(w\/(((w*(w**(-18)*w)\/w)\/w)\/w)))**(-3\/13) assuming w is positive.\nAnswer: w**(-63\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (210\/(-20) + 10). Which is the second smallest value? (a) 5 (b) -0.04 (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1461 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 7*w**2 + 7*w - 7. Let j be g(4). Suppose -j*b + 631 = -1599. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*s + 88*s**2 - 140*s - 23*s.\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 250, 258, 254, 232, 186, 110, -2, -156?\n\"Answer: -o**3 + 15*o + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w**2 - 2*w**2 + 4859 - 4859. Let v(s) = 1582*s. What is v(z(j))?\nAnswer: -3164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/170 and 41\/153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Is (-1)\/(o\/34)*-38 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from wwjwjwwwwjwwww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**5\/7 + 530080*d**4\/7 + 12724132*d**3\/7 + 12194048*d**2\/7 = 0.\nAnswer: -23, -1, 0, 132544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 4*f**2 + 3*f - 5. Suppose h + 5*p = -3*h - 79, h + 2*p + 16 = 0. Let m = -17 - h. What is the least common multiple of m and z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 - 2*i**2 - 2*i + 4. Let f(v) be the first derivative of j(v). What is the derivative of f(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -71 + (1 - -3). Let j = l - -78. Solve -j = -6*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 23*g - 6. Calculate the remainder when 166 is divided by m(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2312203 - -11302?\nAnswer: -2300301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5))**(2\/133)*o\/(o\/o**(-4\/5))*o**(-2\/5) assuming o is positive.\nAnswer: o**(-792\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cysy when four letters picked without replacement from sglygdggyydgcggg?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 763 + 11*s + 763 as m*s + i + q*s**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -765*h - 4. Let b(p) = -p**2 + 8*p + 8. Let j be b(9). Is k(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-18)*(-27)\/(-2). Let z be 18\/(-108) + 129\/n. Let d(s) = s**2 - 4*s + 1. Calculate d(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 1460 = -148*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -35 + 35 - b + 0*b. Let r(c) = 42*c + 10. Let t(v) = -14*v - 3. Let m(w) = -6*r(w) - 20*t(w). Calculate x(m(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 248\/(5 - 1) - 1. Let s = 71 - k. What is the common denominator of 43 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 - 177*f**4 - 5256*f**3 + 228204*f**2 + 5272128*f + 5038848 = 0. What is f?\nAnswer: -24, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 10*q + 2*q**3 + 2*q - q**3 in the form j*q + f*q**2 + z + o*q**3 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 5, l: 12}. What is prob of sequence lgl?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*(-6)\/4. Let f = -49 + 243\/5. Let k = 3570 + -3566. Which is the closest to -2\/11? (a) o (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -180c06a?\nAnswer: 180c074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003636 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 82*f**2 + 803*f - 5555. Determine s(7).\nAnswer: 4084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/10 and -37\/153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 124. What is the remainder when c is divided by (-25)\/10*(132\/5)\/(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(228)\/((-3*sqrt(132))\/sqrt(11)).\nAnswer: -sqrt(19)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 22*j**3 - 10*j**2 + 6*j + 5. Let p(f) = 10*f**3 - 2*f**2 + f + 1. Let r(l) = -h(l) + 5*p(l). Let k = 2 + -1. Calculate r(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776 + -225?\nAnswer: 3551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5400 - -1712. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 0.2, 4, -0.05, 1\/26 in ascending order.\nAnswer: -0.05, 1\/26, 1\/10, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apza when four letters picked without replacement from ppzzpazazzzapa?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9570317*z**3 - 9570054*z**3 + 19140367*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1363237218 - 488584125. Let j = d + -874653254.9999716. Let x = 162 + j. Round x to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032453 divided by 114717.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.250081 + -4.25. What is r rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 9. Calculate the least common multiple of 2 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 14805.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 + 20975\/1610)\/((-12)\/14). Let q be (-8)\/6*27\/(-36). Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -186?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let f(a) = a - 1. Let x(h) = 6*h - 1. Let u(w) = -2*f(w) + 2*x(w). What is u(o(s))?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038311819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*f - 1435*f - 1023*f + (0 + 0 - f)*(-4 + 1 + 2).\nAnswer: -2492*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/30 - ((-176)\/12 - -14)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 563*u - 16. Let z(x) = 281*x - 7. What is -3*o(n) + 7*z(n)?\nAnswer: 278*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 431208 and 16272?\nAnswer: 862416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 4. Let h(y) = 3*y - 12. Suppose -11 - 17 = -4*g. Let q(f) = g*a(f) - 2*h(f). Let x = -6 + 11. Give q(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/(819\/104 + -8). What is the second derivative of -20*f**2 + 18 + 13*f**2 - 69*f + x*f**3 - 18 + 12*f wrt f?\nAnswer: 12*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*i = 20954, -4*i + 7*i = -3*t + 12570. Suppose 4*m = 2*n + t, -2*m + 3*n + 335 = -1764. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2, -5, 60, 3 in descending order.\nAnswer: 60, 5, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus 3.2?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 193*i + 1902. Calculate the remainder when 351 is divided by l(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16085 divided by -70\nAnswer: -3217\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/24 + 581474399969\/1110. Let x = 523850818 - a. Let y = -7\/888 - x. Find the common denominator of -11\/8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -93. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55450267501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 493367 + -143567. What is i rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 4*s + 3*s + 21 - 3*s.\nAnswer: s + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x - 6. Let k be 1 + 0 + 2 + 3. Let r be w(k). List the prime factors of 9 - 1 - r\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:09 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 12464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -5 - 1) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18675 is divided by 7728?\nAnswer: 3219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62909977367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -26*y**2 + 0*y + 0*y**6 - 4\/15*y**5 - 1\/24*y**4 - 1\/105*y**7 + 0 - 2\/3*y**3. What is the second derivative of h(z) wrt z?\nAnswer: -24*z**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07349 + -0.0738. What is w rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 0*r**2 + 0*r**2)*(2*r - 2*r + 3*r)*(-r + 2*r + 0*r) - 3*r**4 + 0*r**2 + 0*r**2.\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59137 by 358.\nAnswer: 59137\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**5\/20 + d**4\/3 - d**3\/2 + 3*d**2 - 42*d. Suppose 4*w = 25 + 31. Let c = -10 + w. Calculate h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 1, p: 2, k: 1}. What is prob of picking 1 n, 1 k, and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i**2 + i**4)*(7*i + 12 - 6*i - 2*i)*(-1 - 7 + 3) + 5*i**5 + 0*i**5 - 3*i**5.\nAnswer: 7*i**5 - 60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 + 3*v**2 + 108*v - 635. What is the remainder when b(6) is divided by 112?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, 0, 3, 1.\nAnswer: -21, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (1 - (0 - -3)). Suppose v*h = 3*h. Suppose -4*w + h*w = -104. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = g + 662 - 725 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-7))\/s*s*s*s\/(s**(-11)\/s*s)*s*s**(-3)*s**(2\/17))**(-4\/19))**35 assuming s is positive.\nAnswer: s**(-12180\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a = 94*a + 14 + 74 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 2*i**4 - 2*i**3 + (-i**3 - 2*i**3 + i**3)*(3*i - 3*i + 2*i))*(-3949 + 3949 + 20*i).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 + 3 - 5 + b**2 to i*b + n + v*b**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4 - 4)*(-1 - 2 + 0)*(1 - 1 + 2)*(-10 + 10 + 11*g)*(3 + 1 - 2).\nAnswer: 396*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 243 = 446. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419113 >= 1419112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a - 51 - 53 - 70 + 174 - 5*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*j + 16, -22 + 0 = -v + 4*j. Let t be (7 + -7)*(-1)\/v. Let o(g) = -g**2 - 7. Give o(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100549 - -6.2584688.\nAnswer: 100555.2584688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17*s**3 + s**2 - 13*s - 88. Let u(z) = 14*z**3 - 13*z - 91. Let w(o) = 5*k(o) - 6*u(o). Give w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1404 = -7*q - 32*q. Suppose 0 = q*h - 8939 - 45889. List the prime factors of h.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 6. Let n(v) be the second derivative of -v**3\/3 - v**2 - 25*v - 108. Calculate z(n(c)).\nAnswer: 8*c + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -22*c + 12. Suppose -20 = 10*r - 6*r. Let y(p) = 9*p - 5. Let l(x) = r*d(x) - 12*y(x). Let z(i) = -7*i**2. Determine z(l(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -2, 9, 24?\n\"Answer: 2*k**2 + k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 249 and 8?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166cd6 (base 16) in base 10?\nAnswer: 1469654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**5\/60 - 7*h**4\/8 + 831*h**2. Calculate v(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*m**4 - 3*m**2 + 3*m**2 + (2*m**3 - 4*m + 4*m)*(10 - 6*m - 3*m - 11).\nAnswer: 13*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -493309.514 minus -24?\nAnswer: -493285.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 15*x**2 - 11*x + 34. Let p be m(16). Suppose 113*s - p*s = -10. Suppose 0 = 5*y - 5 - s. Solve y*c - 3 = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 - (7 - 33\/((-253)\/(-23)))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 2*x - 1030, x - 5*b = 522. Calculate the greatest common factor of 47 and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (241 - 370 - 942)*(-4*j + j + 2*j + (-2 + 1 + 3)*(-2 + 2 - 2*j) + 5*j + 0*j - 3*j) to the form z + g*j and give g.\nAnswer: 3213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2798 or 2811?\nAnswer: 2811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158)\/24 - 5131\/(-8796).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 3, -9 in descending order.\nAnswer: 3, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 135.7 (b) 0 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = d + 182 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than 74.79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9303 and 945.\nAnswer: 418635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let a = 575 - 573. Let d(v) be the third derivative of -v**a - 1\/12*v**5 + 0*v**4 + 0*v + 0*v**3 + 0. Give j(d(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 21750.7372 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -0.71 (c) -1\/4 (d) -1\/74 (e) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2\/5 (c) -1\/8 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 15*i + 190, 4*v - 81 + 143 = -3*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*b = -2706*b - 69000 + 34568 - 100469 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71901551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, -767, 1, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.12, -3, -3\/19, 5, -81?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-4)*(-19 - -5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-110) + (-3)\/((-3234)\/632)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5276 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12674772 by 44.\nAnswer: 288063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32868\/(-990))\/((-68)\/(-170)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*z**6 + 118*z**5 - 15*z**3 + 2*z**2 - 2*z + 158430?\nAnswer: 4560*z**3 + 7080*z**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 2*u - 2. Let l(f) = 34 - 74 - 3*f**2 + 35 - 5*f. Let x(h) = 4*l(h) - 10*o(h). Let i(m) = 73*m. Calculate i(x(a)).\nAnswer: -146*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9982261 = -32*u - 1469525. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:19 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/5, 2, 272 in decreasing order.\nAnswer: 272, 2, 4\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + z)*(-112 + 9805*z + 224 - 112 + 76*z).\nAnswer: 9881*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**2. Let c(o) = -287*o + 7. Let h(f) = 143*f - 3. Let t(k) = 3*c(k) + 7*h(k). Calculate w(t(p)).\nAnswer: 137200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:21 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/58 (c) -5 (d) 2\/27 (e) 0.25 (f) -2\/9 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 + -145. Calculate the smallest common multiple of t and 37.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-7) - (-8)\/(-28). Let d = o + -1. Let r(c) = c**3 + 3*c - 2. What is the units digit of r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 5:45 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:45 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 6, -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*t - 2*m - 12, 0 = -3*t + 3*m + 24. Suppose 2*q = -3*y + 37, 2 = -y + 4*q - t. Solve -y = -3*v + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*m - 37 = 0, -1607*r - 5*m = -1609*r + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 9:39 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {p: 3, y: 5, h: 1, g: 6, v: 1, x: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3099438 divided by 20.\nAnswer: -1549719\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0532 * 1.1.\nAnswer: 0.05852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*333\/54*2*16\/(256\/24).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7660 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, e: 2, r: 2, a: 3}. What is prob of picking 1 e, 2 l, and 1 r?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + (-40)\/(-135)*-6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -25. Let n(f) be the second derivative of -1\/2*f**3 - 10*f + 1\/2*f**2 + 0. Calculate n(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.75054 + -30737.04?\nAnswer: -31387.79054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 2\/3*v**3 + 0*v - v**2 + 0 - 1\/24*v**4. Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(475) + 4)*-3.\nAnswer: -12 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-56))\/(1\/4). Let y be (((-2970)\/(-12))\/11)\/((-2)\/(-4)). Let b be (y\/100)\/((-12)\/50). Is d >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 200, 399, 598?\n\"Answer: 199*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 - -5.2. Let y = 0.2 - 2.2. Let j = w + y. What is the smallest value in 0.2, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 - (-60 + 62)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11056 - 7651. Let v = -2402 + k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*t + 37679 = -678*t - 138*t for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9 - 7809\/1512) + (1885\/1560)\/(-29).\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 19*q - 7. What is l(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 12:42 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + y = -4, 0 = 3*k - 5*y - 132 + 112 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82060762697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*t - 3374 = 1990 - 828 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 743 = -859. Sort z, 99, -6.\nAnswer: -6, z, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 11*t**2 - 16*t + 24. Let k be m(12). Let d be 4\/(k\/30)*(-4)\/10. What is the derivative of 2*x - d*x + 10 + 3*x + 5*x wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + 0*h**2)*(3 + 0 + 4) + h**2 + 0 + 0 + (-2*h + 3*h + 0*h)*(-5*h + h + 3*h) + 2*h**2 + 2*h**2 - 2*h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2125, -11, -1 in increasing order.\nAnswer: -11, -1, 2125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 4, 1647, -1 in ascending order.\nAnswer: -2, -1, 4, 5, 1647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose -2*s = 2, 12 = q*u - s - 31. Suppose 0 = 4*r - 86 - 78. Calculate the remainder when r is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 123691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6679*c**4 - 2*c**3 + 1493448*c?\nAnswer: -80148*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 145*w - 7686. Determine i(53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14694547 divided by -12?\nAnswer: 14694547\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6364*f. Let h(p) = -11*p. Give z(h(t)).\nAnswer: 70004*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -18, -5862, 4, 0, 2 in descending order.\nAnswer: 4, 2, 0, -18, -19, -5862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 12:03 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -696, -1391, -2084, -2775, -3464, -4151, -4836?\n\"Answer: v**2 - 698*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 45*j**2 - 82*j - 198. Give a(43).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2)\/(-6 + 7). Suppose j = -2*l + 6*l - 40. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-49)*2\/4. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 72*z**2 - 233*z + 217. Determine q(-39).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 2) to base 7.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 22 + 7)*(-3 + 3 + q) + 3*q - 20*q - q to j + y*q and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 51 - 51 + 2*g**3 - 3*g + 3*g + (g + g**3 - g)*(-2 - 3 + 6) in the form v*g**3 + y + z*g**2 + d*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -545 + 2724\/5. Let v be (1 - 2)*(0 - 23). Is r at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29866, -59784, -89688, -119578?\n\"Answer: 7*u**2 - 29939*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1941*s + 4. Let p(q) = 4*q. Give u(p(a)).\nAnswer: 7764*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 658\/11. Let w be (10\/30 - (4 - 0)) + 3. Which is the nearest to w? (a) 3\/37 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4\/3 + 80*r**3\/3 + 85*r**2\/3.\nAnswer: -5*r**2*(r - 17)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 + 2*y**2 - y. Let g be q(1). Let n = g - -2. Let z be 15\/1 - (-2 - n). What is the highest common factor of z and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c - q - 67 = 8*c, 3*q = 2*c + 37 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 - -106.943. Let k = 38 - 37.95. Let y = k + n. What is y rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 42*n - 1173. Let b(q) = -63*q - 1. Determine b(f(r)).\nAnswer: 189*r**2 - 2646*r + 73898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3342563097 to the nearest integer?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 5*p**2 + 3*p**2 + (2 + 0 - 3)*(0 - 2*p + 0)*(-3*p + 7*p - 6*p))*(0 - 1 - 1)*(1 + 4 - 3).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12817 (base 15) to base 2.\nAnswer: -1110011100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 12\/(-63))\/(1\/(-3)). What is the second smallest value in 0.4, 3, k, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*t - 351 = -985*t for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90872117?\nAnswer: 7, 19, 97607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5808389 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**7\/840 - f**4\/4 + 28*f**3\/3 - 20. Let v(j) be the third derivative of p(j). Calculate v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.521 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1066, 1, 78, 5, 3 in descending order.\nAnswer: 1066, 78, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09261104 rounded to three decimal places?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -13\/6 (b) 2.1 (c) -0.101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 244 = -41*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (48 - 58).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135794 divided by 292?\nAnswer: 67897\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766967452 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2177 - 2160. What is the smallest value in y, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/310376, 4\/5, -2\/15 in increasing order.\nAnswer: -2\/15, -3\/310376, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = r - 1901, -2*x + 14 - 12 = 0. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26 and -53.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*-5*12\/40.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13163.\nAnswer: 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 5, 1\/36, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/3 + 3 - 246635\/(-9095)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 54927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 31 = 2*t - 5*d, 3*t - 3*d = 21. Suppose 3*h = t*h + 4. Suppose 5*r - 71 = h. Solve 0 = 2*m + 2*f + 10, 3*m - 4*f + r = -2*f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:48 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1627 + 8)*(1 + -2). Let c = l + -148. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1175 = 2*y - 7*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187834.6723 rounded to the nearest 1000?\nAnswer: 188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*g + 28*g + 3*o = -38*g - 32*g - 20, 21*g = -4*o - 5 + 116 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g - 120 = -59*g + 97*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 16*z**2 - 2*z - 11. Let m be q(-8). Suppose -m*n = -2*n - 18. Suppose -n*w + 18 = -0*w. Solve 5*b - 14 = o, -5*o = -b + w*b + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -5*k**4\/4 + 9*k**2 + 12*k - 197. Let d(c) = -4*c**3 - 2*c**2 + 17*c + 12. Let i(a) = 4*d(a) - 3*h(a). Determine i(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - 1 - (-43 + 21).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -557304, -557305, -557306, -557307, -557308?\n\"Answer: -u - 557303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12835126.\nAnswer: 2, 6417563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 2*v**2 - 6*v - 4. Let t be h(0). Does t = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 7. Let m(g) = 4*g**2 + 40*g - 14. What is the remainder when m(-12) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297412185.\nAnswer: 5, 89, 2915533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -168, -31, 204, 537, 968, 1497, 2124?\n\"Answer: 49*d**2 - 10*d - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let g(s) = -3 + s + k + 0. Let t(y) = -y - 3. Let n(w) = 4*w + 10. Let r(f) = 3*n(f) + 10*t(f). Determine r(g(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 2. Let u be d(-3). Suppose -b - 2 = 5. Let j = u - b. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**0\/((g*g**(-6))\/(g**(1\/2)\/g)) assuming g is positive.\nAnswer: g**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120574084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84456 is divided by 1080.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 921 and 12919481.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 55625026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 22 = -4*p, 3*p + 2*y - 9 = 5*y. Solve 0 = -0*r + 5*r + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1331592 divided by 2.\nAnswer: 665796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 116\/3, -1?\nAnswer: 116\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 4, -3 in decreasing order.\nAnswer: 9, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 125 - 121. Suppose c*m - 3*m + 1 = 0. Let i(n) = -11*n**2 + 2*n + 1. Give i(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 42\/11, -2\/7, -7\/12, 2\/7 in ascending order.\nAnswer: -7\/12, -2\/7, 2\/7, 0.4, 42\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 7*q + 19. Let k be x(-8). Let z(c) = 1824*c**3 + 24*c**2 + 23 + 0*c + 24*c - 1823*c**3. Let w be z(-23). Solve w = 4*o + k - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.2. Which is the second biggest value? (a) -0.3 (b) -9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:17 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*1267.\nAnswer: 62083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*n + 12. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + 72. Factor -86*o**2 + 58*o**2 + l - 324 + 848*o.\nAnswer: -4*(o - 30)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 12*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -505 - -4?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -452 - -430600?\nAnswer: 430115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113.212925953932 + 4.\nAnswer: -109.212925953932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*o - 9, -21*i - 4*o = -23*i + 28. Find the second derivative of 115*c**3 + 18 - 7 - i*c**3 - 2*c + 10*c**3 wrt c.\nAnswer: 606*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.30906 - -0.54.\nAnswer: 1.84906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((301320\/124)\/(-81))\/(2*2\/(-2)*1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4 and -95\/46236?\nAnswer: 46236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 8:51 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (9 - -11) + (96 - 47) - (10 + -1).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 16) in base 4?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 2. Let d = 0.392 - 0.092. Sort d, -4, i in descending order.\nAnswer: d, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1077*n**3 - 22*n**2 + 215*n. Let t(h) = 359*h**3 + 8*h**2 - 72*h. Let w(p) = 4*d(p) + 11*t(p). What is the second derivative of w(j) wrt j?\nAnswer: -2154*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 627*t + 108*t + 2996*t + 1334*t - 16.\nAnswer: 3811*t - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5133 and 412351?\nAnswer: 1237053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938, 801, 2540, 4279, 6018?\nAnswer: 7757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a - 9. Let i be o(4). Suppose 0*q + 2*q + 4*p = -16, -5*p = i. What is the least common multiple of 12 and 2 + (-4 - q) + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*2\/4*(-15 - -21). Solve -m = -2*a - 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4 + 4 + 0*i + i**3 + 6*i**2 + 2*i. Is r(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-69))\/(-1 - -2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2023.9 - -281178.1. Let l = -283250.99916 + v. Let u = 49 + l. What is u rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 151*z + 604*z.\nAnswer: 755*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, -166, -158.38, -2\/3, 5 in decreasing order.\nAnswer: 39, 5, -2\/3, -1, -158.38, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5)*b)**43\/(b\/(b*b**(-3\/4))*b*b**(-2\/7)\/b*b*b))**(-2\/151) assuming b is positive.\nAnswer: b**(-9287\/10570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2236 times -2.05\nAnswer: 0.45838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 7*d = -351. Round d to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.0929.\nAnswer: -0.02787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5, 2*i - 2*m = -i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 24 = -2*s + 32, 4*s - 88 = -4*z. Solve -s = -87*c + 91*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 20*w - 26*w - 39 = 5*u, 0 = -18*u + w - 5*w + 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1821 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -71494.8536 to the nearest 100.\nAnswer: -71500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (133 - 166)) + (0 - 4) + 2 + -1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*z - 87, 36*w - 2*z = 25*w - 205 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 100*c**2 + 572*c + 476.\nAnswer: 4*(c + 1)*(c + 7)*(c + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -2\/17 (c) 2\/19 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7774424147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*f - 33*f + 80 + 1279*f**2 - 1278*f**2.\nAnswer: f**2 - 152*f + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i - 20. Let a be (-32)\/i*(4 - -1). What is the units digit of (-3)\/4 + 124\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -272)*-1 - 4. Let q be l\/(-45) - 2\/5. Let g = 47 + -53. Is g at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*h - 325, 37*h = 36*h - 5. Calculate the remainder when g is divided by 69.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2606 and 14.\nAnswer: 18242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -974 - -1614. Suppose 3*z - g = 431. What are the prime factors of z?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572131.\nAnswer: 3, 43, 127, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, n: 3, i: 8}. What is prob of sequence xn?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 7:54 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174135 and 285?\nAnswer: 174135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 8*f - 218. Let l be v(-11). What is the greatest common divisor of l and 1036?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 43*w**2 - 2*w + 2. Let g be a(1). Let h = g + -38. Suppose -4*x = -5*x + 5*d + 102, -h*x = 2*d - 483. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 51 + 13)*(-6*i - i + 3*i)*(-1 - 1 - 1)*(-1 - 2 + 2) in the form l + j*i and give j.\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 4704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, n: 4}. Give prob of sequence knnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 52. Suppose -w = 239*h - 235*h + 18, 3*w = 2*h + 44. Calculate n(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and -148.\nAnswer: 251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2\/7 - 82650*d\/7 + 569251875\/7 = 0. What is d?\nAnswer: 13775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0*j**5 + 0*j**2 + 0*j**3 + 0 + 16*j - 4\/3*j**4 + 13\/30*j**6. What is the third derivative of v(k) wrt k?\nAnswer: 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*a + 477*a - 57760 = -12493 for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444101 is divided by 4229?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 963035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*n**3 - 80*h**2*n + 36*h**2 + 205*h*n + h - 3350 wrt n.\nAnswer: 6*h**2*n**2 - 80*h**2 + 205*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -332*h**3 - 198*h**3 + 875*h**2 + 281*h**3 - 444*h + 60. Let t(o) = o**3 + o. Let g(a) = -4*t(a) - w(a). Factor g(f).\nAnswer: 5*(f - 3)*(7*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - z - 1. Let a be (-31)\/2*1*(-30)\/3. Suppose d - 154 = -a. Calculate n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**2 - 5*k - 11. Let v(i) = -4*i**2 - 4*i - 8. Give 4*v(b) - 3*x(b).\nAnswer: 2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*r**4 + 4*r + 284?\nAnswer: -84*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 3:34 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 4*f**2 + 6*f + 3. Let p be t(-5). Let g be (p\/6)\/(8\/16). Let h be 2 + 0 - 10\/3. Sort 3, h, g in ascending order.\nAnswer: h, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-17)\/12)\/17)\/((-1)\/3))\/((-898)\/(-89800))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 31*o**4\/24 + 34*o**3\/3 + 214*o**2 + 2*o. Calculate the smallest common multiple of 22 and y(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509796097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -25 + 7 + (1 - -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -26.\nAnswer: -26, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let p = t - 5. Which is the nearest to -2\/3? (a) p (b) 2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*c + 30 = 0, 0 = o + 2*c - 4*c + 6. List the prime factors of (-171)\/o + 12\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*o**2*q**2*z + 2*o**2*q*z**3 + 93*o**2*q*z**2 - 10*q**2*z**3 - 6*q*z**3 wrt z.\nAnswer: 12*o**2*q - 60*q**2 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10 + (-48)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 4. Let g be d(0). Let v = 28 - 31. Sort -2, g, v.\nAnswer: g, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from sxexpexeeepp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13227 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 4531812435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134, -130, -112, -74, -10, 86, 220?\n\"Answer: i**3 + i**2 - 6*i - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108869*-2556.\nAnswer: 278269164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 + (5 - (3 + -30 - -33))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28250 is divided by 28242.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-3*b - 6*b**4 + 2*b + b**4 + 2).\nAnswer: 5*b**4 + b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11422, -4\/9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 2\/11, 1\/2, -82\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 3. Let f(u) = 6*u + 4. Suppose 4*o - 5*c + 16 = 0, o - 3*c + 4 = -5*c. Let i(h) = o*n(h) + 3*f(h). Let v(y) = -17*y. Calculate i(v(m)).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) - (-4666)\/11490. Let d = c - -88361\/18384. Calculate the common denominator of d and -7\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 17.974. Let z = 149.995 + -150. Let h = z - b. Round h to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1516*s - 1658*s + 3405*s - s**3 - 2*s**2.\nAnswer: -s**3 - 2*s**2 + 231*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 20 - 51 = 229. What is the remainder when 5685 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4433 - -2514. Let s = b - -3722. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34687.5479 - -34686. What is r rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from tlrrttorrl.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.054 + 0.018. Let q = f - -0.03488. Round q to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + p + 3*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77.93235 millilitres?\nAnswer: 0.07793235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.2. Let c(x) = 4*x - 58. Let g be c(17). Let z be (-15)\/g + (-15)\/(-18). What is the nearest to 2\/9 in z, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -22, -64, -126, -208?\n\"Answer: -10*f**2 + 8*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(85) - sqrt(85)*1)*-1 - sqrt(85)) + sqrt(85))\/(sqrt(60)\/(sqrt(36)\/sqrt(3))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -1 (b) 1\/151 (c) -2\/15 (d) -73\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3127 - 2744. What is the remainder when z is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*-2 - (3 + sqrt(19) + 5).\nAnswer: -19*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 24 = -4*i, 0 = -2*b - 5*i + 43 - 10. Solve 2*h = b*h + 3*c + 5, -3*h - 2*c - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*q. Is q < 2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 3*y**2 - 2*y - 2*y to u*y + f*y**2 + s and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 171, -199, -579, -975, -1393, -1839, -2319?\n\"Answer: -t**3 + t**2 - 366*t + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 269, 2.\nAnswer: 0, 2, 3, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 17*h - 12. What is x(18)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**3 - p**2 - 2*p - 1. Let x(i) be the second derivative of 7*i**4\/4 - i**3\/6 + i. Let a be x(-1). Let w be 27\/(-33) + (-4)\/a. Give k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -3, -2\/9, 38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1485.735 - -1490. Let c = -0.345 - h. Round c to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s - 4*s + 5*s - 3*s - 19 - 3*s. What is the least common multiple of 13 and n(-3)?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + -29. Let l = 2 - r. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i - 7. Let v(k) be the first derivative of -k**2\/2 - k - 454. Let q be 8\/(-20) - (-354)\/10. What is q*v(h) - 5*g(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1215, 1973, 2141, 1425, -469, -3835, -8967?\n\"Answer: -49*d**3 - d**2 + 1104*d + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*r - f, 0 = 4*r + f + 1 + 32. Is 15 a factor of ((-42)\/(-4))\/(r\/(-96))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.546*0.072\nAnswer: 0.111312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5077*c + 3*v + 3 = -5080*c + 42, -13*c - 3*v = -119 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-13)*2)\/((-48)\/(-5928))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 + 3*l + 4. Let p be f(-2). What is the third derivative of -2*r**3 - p*r**3 + 0*r**2 + 3*r**2 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208261937 is divided by 390?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*f = 4, -2 = 2*r + 4*f - 0. Calculate the highest common divisor of 57 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811543.\nAnswer: 29, 62467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -135.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -302 + -2 + 0 + (-22)\/(-11). Let b = d - -615\/2. Calculate the common denominator of b and 71\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - -47?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2119 = -10*n + 2039 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 409 - 297. Is -45 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -11, 0.3, 3 in ascending order.\nAnswer: -11, -0.5, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = h + k, 5 = 5*h - 5*k. Suppose 0 = 3*o - y - 27 - 1, y + 8 = o. Solve 0*d - o = -h*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14910 and 7810.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 211*x**3 + 525*x**3 - 5*x**2 - 35*x**3.\nAnswer: 701*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 144*s + 2054 + 47*s - 2197. Is d(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*s - 12, -5*s + 8 = 4*r - 9. Let g be 2\/8 - (-10)\/(-8). List the prime factors of (-1)\/(g\/11*s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212115209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12008, 18947, 25900, 32873, 39872?\n\"Answer: o**3 + o**2 + 6929*o + 5077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89720*o**4*s + 831*o*s**2 + 40721*s**2 - 2241 wrt o?\nAnswer: 358880*o**3*s + 831*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**4 + 6*k**3 - 7496*k**2 - 5656382*k wrt k.\nAnswer: 36*k**2 + 36*k - 14992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.28 in 1, 0, -1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r - 75. Let h be q(-5). What is the remainder when 2717\/38 + -2 + h\/(-8) is divided by 55?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - -3*sqrt(396)*1) + sqrt(396) + sqrt(396))**2 + sqrt(396)*2*-2 + sqrt(396) + 0.\nAnswer: -18*sqrt(11) + 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -513.998865 + 514. Round n to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 3*p + 10. Let l be -1 + (-2)\/(-4)*-6. Let q be c(l). What is the remainder when (-6)\/(-36) + 365\/q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139126553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 51*w - 511. Let x be j(-18). Put 5, x, 2 in ascending order.\nAnswer: 2, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188581.8753 microseconds to weeks.\nAnswer: 0.00000031180865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0 + 5*l + 0 - 1. Suppose -2*k + k - 33 = 0. Let y = -34 - k. Give w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7457 + -7393. What is the remainder when c is divided by 58?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*i + 643, 10*g = -5*i + 5*g + 1125. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/(45\/(-120)). Suppose 0 = -u - f*u + 25. Solve u*n = n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3\/6)*10. Let j be (3*o\/10)\/((-6)\/16). Suppose -3*b - j*p = -43, 33 = 5*b - 2*p - p. What is the smallest common multiple of b and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.3 - -3. Let l = 0.12 + 0.28. Sort g, -0.4, l.\nAnswer: -0.4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297031027, -297031026, -297031025, -297031024, -297031023, -297031022?\nAnswer: -297031021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.12702 milligrams?\nAnswer: 0.00912702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(96))\/(sqrt(243) + (-1*sqrt(243) - sqrt(243) - sqrt(243) - sqrt(243))) - ((sqrt(224)*2 - sqrt(14)) + sqrt(14))\/(sqrt(112)*-5))*2.\nAnswer: 68*sqrt(2)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300248676.\nAnswer: 2, 3, 7, 13, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 2*h**2 + h - 4. Let o be b(-3). Let z = 0 + o. Let m = -16600 + 16603. Solve m*i = i - z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/30*33*17. Let a = 202 + b. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*r - 5599 = -6607 - 7947 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(5 - 4*s - 5) - 2*s + s + 3*s + 3*s - 5*s + 0*s + (-2 - 5 + 13)*(-s + s - s) to g + o*s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/5 - 2*d**4 - 5899*d**3\/5 + 47392*d**2\/5 - 77052*d\/5 + 35568\/5 = 0.\nAnswer: -76, 1, 6, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(87 + -89). Sort 1, o, -4, 5 in descending order.\nAnswer: 5, 1, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -491?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 8. Let h(m) be the third derivative of m**5\/60 - 5*m**4\/24 - m**3 - 6*m**2. Let u be h(6). Let i be x(u). Solve 7*c - 3*c = i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8885 + -1948. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 141773262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -5 (c) 3\/40 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 31*a + 0 - 6*a**2 - 1\/4*a**4 + 5\/2*a**3. Suppose i(h) = 0. What is h?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2100997\/440 - -4775. Calculate the common denominator of q and 179\/990.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -385993, -386066, -386137, -386206?\n\"Answer: i**2 - 76*i - 385918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010101 + 111?\nAnswer: 20010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -46, -66?\n\"Answer: -20*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -75, 2, 3\/32, 212, -12?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 50398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -63258 divided by 3?\nAnswer: -21086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5636*v + 108*v + 6043*v + 1680*v as w*v + g and give w.\nAnswer: 13467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*y = 209*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -22. Let z = -2329\/13 - -179. Sort g, -4, z in decreasing order.\nAnswer: g, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8792055 is divided by 2576.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3126008 * 0.4.\nAnswer: -1250403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3657, 3658, 3659?\nAnswer: 3660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**7\/126 + j**6\/18 - j**5\/20 - 17*j**4\/36 - 5*j**3\/9 + 37*j. Solve m(k) = 0 for k.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 7394 + 23256 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*m + h - 2*h, m + h = 14. Let p be 6\/m*(-12)\/(-4). Sort -0.4, -1, p.\nAnswer: -1, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, 5, 4, 3 in ascending order.\nAnswer: -1, 3, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwwwdddwd. What is prob of sequence dddd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 8*y**2 - 9. Let f be x(8). Calculate the remainder when (-10)\/(-6) + (-3)\/f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 6. Let p(i) = 3 - l - 2*i**2 - 1. Let m(g) = 2*g - 5. Let h(t) = t - 3. Let c(w) = 5*h(w) - 3*m(w). Calculate p(c(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooekololblooo. Give prob of sequence eoll.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(0*p + 0*p - 2*p)*(1 - 2 - 7).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (162*k**3 + 77*k**3 + 15*k**3)*(109 - 109 + 18*k) to w*k**2 + o + m*k**3 + u*k + r*k**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {l: 1, m: 4, k: 1, s: 1, h: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 - -345. Let u(n) = -n**2 + 12*n - 12. Suppose -3*x = -3*y - 24, -3*x + 2 = -4*y - 21. Let h be u(x). What is the greatest common factor of f and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(1530\/20) - (-86)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 0*h - 32 + 1\/2*h**2. Let b(o) = 2*o + 7*o - 2*o. Calculate b(s(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 61. Suppose j - 9 = 3*z. What is the first derivative of -1 - k**4 + 0*k**4 - 2*k**4 + 2*k**z wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-72) + 16\/(-36). Suppose -6*x + 100 + 68 = d. What is the smallest common multiple of 18 and x?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*a + 61*a = 258. Suppose 4*b - 2*b = 4*m - 524, -3*b = -2*m + a. Calculate the remainder when 11\/(m\/144 - (-2)\/(-3)) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 + 4*y - 17. Let x(s) = -8*s**2 + 3*s - 17. Let a(c) = -3*i(c) + 4*x(c). Differentiate a(o) with respect to o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 4. Let w = x + -4.9. Sort -5\/4, -0.5, w in ascending order.\nAnswer: -5\/4, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 9 + 0*s - 3\/4*s**4 - 2*s**3 - 3\/2*s**2. Factor n(m).\nAnswer: -3*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 1296, 2217, 3138, 4059?\nAnswer: 4980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34493 = -0*s + 3*s - 5*k, 5*s + 4*k = 57513. What is s rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2712120916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3200 (base 7) to base 8\nAnswer: -2147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(-3\/5)*w))\/(w\/(((w*w\/(w**(1\/8)*w))\/w*w)\/w)))\/(w**(-2\/15)\/w**(-3))*(((w**(-1)\/w)\/w)\/((w\/w**3)\/w))**(-5\/7) assuming w is positive.\nAnswer: w**(-287\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/6 - 10*f**3\/3 + 25*f**2\/2 + 50*f. Let v be s(-11). Solve 2*g = 5*t + 6*g + 3, g = v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -627797167.3 rounded to the nearest ten thousand?\nAnswer: -627800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74*n - 129*n - 81*n)*(2*n**2 - 3*n**2 - 4*n**2) in the form b*n**2 + c + r*n**3 + s*n and give r.\nAnswer: 1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8 = 4*q, 2*q + 8 - 12 = 4*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 11}. What is prob of sequence rsss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 4*k**2 - 3*k + 10. Let y be 17\/3 + 1\/3. What are the prime factors of h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 7489 - 20560. Let c = j - 39169\/9. Let p = 1\/1580 + -60047\/11060. What is the common denominator of c and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.3, -0.175, 2.8, 1\/4?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 + 5 - 6) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825, -234, -1313, -2424, -3579?\nAnswer: -4790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 332892 in 6, -0.5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 9*v + 0*v)*(-5 - 4 - 32)*(2 + v - 2).\nAnswer: 41*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 7:03 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4708907*c**2 - 18*c**3 - 4708907*c**2.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 12*u**2 - 5*u - 57. Let f be i(11). Suppose 3023 + 3520 = f*d. List the prime factors of d.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1 + 5*z - 3*z - z. Let a(c) = c - 1. Let d(w) = 2*a(w) - 3*k(w). What are the prime factors of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((6\/26)\/3). Let y(t) = 6*t + 4. Let q be y(14). Let g be 4\/c - q\/65. Is -1 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-6) - 58\/(-30). Which is the nearest to 2\/7? (a) 2 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:12 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1066*o**2*p + 24*o*p + 2*o + 7*p wrt o.\nAnswer: -2132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475 and 2280.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 2. Let w be (2\/((-40)\/(-14) - 3))\/(-1). Let a be 68\/(-238) + (-24)\/w. Let b(y) = 2*y**2 + y + 3. What is a*b(z) - 3*t(z)?\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3887*o**2 - 44*o + 43. Let h be z(1). Suppose 0 = -3883*d + h*d - 6. Find s such that -s**d - 2\/3*s**3 + 2 + 5\/3*s = 0.\nAnswer: -2, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139227754212 less than 4?\nAnswer: -139227754208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 0)*(40 + (-9414)\/234).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 4:04 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94*b**3*y - 2*b**2*y + 10*b**2 - 4*b + 386987*y wrt b?\nAnswer: 282*b**2*y - 4*b*y + 20*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1881 is divided by 625.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 974589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 2*i - 2. Determine v(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 175142.\nAnswer: 63\/175142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*c - 100 - 108, -4*t - 3*c + 275 = 0. Suppose -i + 38 = -2*f, -7*i = -5*i - 2*f - t. What is the greatest common divisor of 240 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 140, 139, 138, 137, 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 5*h + 42. Let l be j(-9). Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13650*a**2 + 32301*a?\nAnswer: -27300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illlllfllfllff. What is prob of picking 3 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54076\/9 + 6008. Sort -1\/2, 1\/7, 0, -0.1, p in decreasing order.\nAnswer: 1\/7, 0, -0.1, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 157142028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -530.0955*-0.191\nAnswer: 101.2482405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -756 - -771. Solve 3*h - 7*h + 4*q = 0, -4*q - s = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -127. Let y(c) = -2*c**2 + 9*c - 1. Let j be y(k). Which is greater: j or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101.2 and -0.5.\nAnswer: 50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12, 4, -68?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1\/2, 2\/13, -6\/13, 370 in decreasing order.\nAnswer: 370, 2, 2\/13, -6\/13, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 35511455?\nAnswer: 35511520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - 24\/(-16). Let d(s) = 2*s - z*s - s - 11 - 2*s. What is the tens digit of d(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2332 - 3133?\nAnswer: -12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62a492 (base 15) in base 3?\nAnswer: -22211101121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-20) - 0 - (5 - 216876\/30) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008300121 to 6 dps.\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/435)\/((16\/(-20))\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1622b (base 12) to base 14.\nAnswer: b64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times -13?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 1. Let z be n(2). Suppose 0 = z*p - 3*u - 15, -3*p + 0*u + 2*u = -15. Suppose -2*h - p*l = h - 373, 5*l = 3*h - 353. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b + 32 = -6 - 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2240\/(-192)*(-108)\/5 and 180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610371 = -17*x + 803434. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240690 and 4118.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f - 1. Let d be q(-14). Let y = -79 + d. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*h*o*y**3 - 2*h*y**2 - 37*o*y**3 - o*y wrt h.\nAnswer: -57*o*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -64. Let n = v + 67. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48720\/187 or 1\/3?\nAnswer: -48720\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31738152 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 5 - 19*x - 12*x.\nAnswer: -36*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-5*f + f + 2*f) - 11*f + 52 - 52.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26874427641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0 - 5\/2*w**3 + 0*w**2 - 11*w. Let p(t) = 23*t. Let s(m) = 8*a(m) + 5*p(m). Let r(q) = -3*q**2. Calculate r(s(g)).\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -19 + 7. Let v = -12 - o. Let p(m) = -m - 3. Give p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1496 and -11.\nAnswer: 16456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -13 + 43. Let d(b) = 2*b - 33. Give d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166497?\nAnswer: 3, 19, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3895 - 3885. Solve 6 = j*n + 46 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 697 - 787. Calculate the highest common factor of j and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 931872 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 31215?\nAnswer: -31224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1978, -1, -189, 5 in ascending order.\nAnswer: -1978, -189, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11110110011001101 (base 2) to base 7\nAnswer: -1033543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 2, s: 2}. Give prob of sequence umm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-3 + sqrt(117) - sqrt(117)) + 2)**2 + (sqrt(13) + (sqrt(13) - ((-2*sqrt(143))\/sqrt(11) - sqrt(13))) - (sqrt(52) + sqrt(208))\/sqrt(4))**2).\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(432)*2) + 5)*-3.\nAnswer: -15 - sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:37 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (1242\/4)\/9 and 95\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1848\/49 + 4\/14. Suppose -4*n = -7*n - 480. Let s = n - -274. What is the highest common divisor of s and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.08701 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m = -55*m + 105*m + 3*g + 9, 0 = -m + g + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 11*o, 5*w - 5*o = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 11*v**2 - 10*v - 8. Suppose -d - 3*d = 40. Let g be k(d). Let l be 7\/(1 + (-1 - 1)). Is l not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p + 78. Suppose 0 = -4*h - s + 5, 2*h + s - 20 = -3*s. Let g be w(h). Do 78 and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 124 (b) -0.1 (c) -0.01 (d) -1\/2 (e) 0.1 (f) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - 2453374.61031.\nAnswer: -2453346.61031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 90 = 3*s. Calculate the smallest common multiple of 58 and s.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18375088 is divided by 9187432?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) -92.9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -156*v - 273. Is o(-10) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccccucxcccccc?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 14, -12, 43, -2, 2 in increasing order.\nAnswer: -12, -2, 2, 3, 4, 14, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 4939 in descending order.\nAnswer: 4939, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10584367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h - 138 = 0. Calculate the common denominator of -61\/5 and ((-2)\/6)\/((-3)\/h).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.4 (b) 10 (c) 1\/5 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -83 + 2 + (-113 - -193)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7764081 and 14909?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**3 + 5*d**2 + 25. Let v(j) = 3*j**3 + 4*j**2 + 25. Calculate -4*a(p) + 5*v(p).\nAnswer: -p**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -245 + z**2 - 2*z**3 + 7*z**3 + 35*z + z**4 - 249 + 493 as w*z**2 + k*z**4 + l*z + r*z**3 + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6833 - 6455. What is the greatest common divisor of a and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11)*t\/((t\/(t*t*t**(2\/19))*t)\/t))**(4\/21))**(49\/4) assuming t is positive.\nAnswer: t**(938\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + 0.13. Let x = 1098 + -1098.16075. Let p = x + j. What is p rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 4*y**6 + y**5\/5 - 25*y**2 + 10. What is the second derivative of c(d) wrt d?\nAnswer: 480*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 44. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98091, 196182, 294273?\n\"Answer: 98091*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (204\/9*(-18)\/(-30))\/((-6)\/(-38625)). Round z to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31\/19, -1\/5, 1, 4241 in ascending order.\nAnswer: -31\/19, -1\/5, 1, 4241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431977.8 millennia to years.\nAnswer: 431977800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(((sqrt(300)*-2 + sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300)).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 50337676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9)*2)\/(104\/(-39)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 385?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.236 + 3.764. Let a = 0.1 + 0. Put y, a, -0.2 in increasing order.\nAnswer: -0.2, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256820.1337 rounded to the nearest 10?\nAnswer: -256820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, 70, 3, -3, 1469 in decreasing order.\nAnswer: 1469, 70, 4, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 times 0.064991\nAnswer: -0.6174145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 910983 to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156 + -108. Is 18 a factor of c\/9*27\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -5\/3*u**4 + 0 + 0*u**3 + 25*u**2 + 0*u - 1\/12*u**5. Factor f(d).\nAnswer: -5*d*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*4\/(-180))\/((-4)\/(-18))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*b = 23, -18*y = -14*y - 5*b + 7. Let g(t) = 6 - t**2 - 4*t**y - t**3 + 804*t - 795*t. Determine g(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = m + 2, 2*m + 4*t = 26120 - 26054 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*j = -3*j + 4, -2*j + 11 = 5*z. Solve 5*h - 35 = z*u, 4*u + 28 = -0*h + 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 1:42 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (-6*(-1 + -1 + sqrt(147)*-1 + -2 + 1))**2).\nAnswer: -22468 - 6048*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*d - 49352, 5*w + 2*d = 53705 + 28543. Is (-94)\/141 + w\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*s - 7 = 0, 4553*g = 4556*g - 4*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 6*d. Let i be d + 1 + (423 - 5). What is the second derivative of -419 + 12*v - v**2 + i wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6273 - 6205. Solve -17*r + j = -68 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3383 = -106*i + 627 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 295c?\nAnswer: 295b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (28*70\/(-60))\/((-38)\/57)*-2?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/(1\/9). Let q = h + 23. Factor 0*p**2 + 1\/2*p**3 + 0 - q*p.\nAnswer: p*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47. Suppose f*g = -g + h + 14, 4*g = -5*h + 29. Suppose -14 = 5*a + 2*w, 5*a + 46 = 5*w + g. Let z(r) = -r**3 - 3*r**2 + 2*r - 3. Give z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199166*m*o*w*x**3 - 46094*m*o*w*x**2 - 3*m*o*w - m*x**3 - 3*m*x**2 - o*w*x**3 - 2*w*x**2 wrt x.\nAnswer: -1194996*m*o*w - 6*m - 6*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -475 - -483. Suppose 0 = 3*l + m*l - 1881. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1479910257.\nAnswer: 3, 7, 479, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69039\/1978 - -810\/23. What is the common denominator of -73\/14 and u?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l + 35*l = 33*l + 320 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72190 by -637.\nAnswer: 72190\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -104*g - 31. Let i(t) = -235*t - 64. Let q(r) = -4*i(r) + 9*v(r). Determine q(16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 9*x + 15. What is o(10)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*i + 751*i - 385*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-1848)\/(-182)) - (-14)\/8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11648613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(-1128))\/((-1)\/(-9)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, 40, 62, 84, 106?\n\"Answer: 22*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -3.164061?\nAnswer: -0.6328122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 6*f**3 - 5*f**3 + (792*f + 1542*f - 1869*f)*(3*f**2 - 2*f**2 + f**2).\nAnswer: 935*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 224279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72936 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92370, 92359, 92348, 92337, 92326, 92315?\nAnswer: 92304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 5 (c) -9.3 (d) -8 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-6))\/((-285)\/(-2223)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-270*k**3 + 270*k**3 - 832*k**4)*(-3 + 3 - 1 + (-1 + 4 - 1)*(0 - 1 + 0) - 2 + 1 + 3) in the form a*k**2 + i + g*k**4 + v*k + x*k**3 and give g.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let t be (-3)\/((-1 - -2)*-1). Let x(c) = c - 5*c - t*c - 11 + 2*c. Let i(u) = -u - 2. Let s(m) = 11*i(m) - 2*x(m). What is f(s(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i = -114469 - 118811. Does 40 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3856, 18401, 54296, 122215, 232832, 396821, 624856?\nAnswer: 927611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-93 - (-6 + 3)) - (-28 - -31)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3735468 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j - 1. Let k(g) = -13324*g + 6669*g - 1 + 6665*g. Determine 7*a(r) - 5*k(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(153)*4*2*1)\/(-3*(sqrt(9) + sqrt(144)\/sqrt(4) - -1*sqrt(1089))).\nAnswer: 16*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42200?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286)\/(-55))\/(((-2)\/5)\/(-1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taz when three letters picked without replacement from tztttaa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0*o**6 - 1\/210*o**7 + 3*o**3 + 0*o**4 + 0*o + 152*o**2 + 0 - 29\/30*o**5. What is the first derivative of q(x) wrt x?\nAnswer: -4*x**3 - 116*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150627329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, 93, -229.\nAnswer: -229, -3, -2, -1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2201017, -2200948, -2200879, -2200810, -2200741, -2200672?\nAnswer: -2200603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 85, 111?\n\"Answer: 26*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:45 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 14*p**2 + 4*p + 2. What is the remainder when a(-13) is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61308?\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0154 from -0.269833.\nAnswer: -0.285233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/17 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*211817*(-4)\/(-8). Let g = x + -248183. What is g rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 12 = 0, -2 = n - 13*p + 11*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - 65) + (-118 - -268 - 143)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 10:17 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -2 + -3 + 3 - 6. Is 7754*(-4)\/(-16) - o\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*g = 8 - 0, -3*b + 16 = -4*g. Suppose 0 = 4*v + 19 - 7. Let s be b + 4 + v + 2. Sort -2, 5, s in decreasing order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-14))\/(306\/(-119)))\/(2\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*-6*1)\/(-4*sqrt(88)\/sqrt(2)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 486, 947, 1380, 1779, 2138, 2451?\n\"Answer: -o**3 - 8*o**2 + 492*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*p**2*w**4 + p**2*w - 38*p*w - 7*w**4 wrt w?\nAnswer: 264*p**2*w**2 - 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 11*u**2 - 3*u + 9. Give w(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:50 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.0959309 to 3 dps.\nAnswer: 9.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*q + 158*q + 26 - 314*q to the form z + c*q and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 42. Let f be (y + 4)*1 - 2. Suppose -277 - 543 = -f*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535162 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1432573187 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23080128 or 23080152?\nAnswer: 23080152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f - 76*f + 1407 + 3633 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 5*h + 7. Let p be 3\/6*-34 + 3. Let u = -7 - p. What is the remainder when 39 is divided by d(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -17) + 7 + 0 + 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.068 - -35. Let r = q + -0.032. Let v be 21\/34 - (-1)\/(-2). Which is the fourth biggest value? (a) -1\/4 (b) -0.4 (c) v (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*q + 156 = 0, 3 = -3*q - 3. Let o be ((-12)\/y + 0)\/(-1). Which is the second biggest value? (a) -5 (b) 5\/3 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1825 and -5.\nAnswer: 9125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -1 - (-4 - -9). Let l be 385\/(-14) + k\/4. Let r = l - -30. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6410, -6414, -6418, -6422, -6426?\nAnswer: -6430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 + 491909*j\/8 - 491907\/4.\nAnswer: -(j - 491907)*(j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 - i + 21211. Let u be (0\/(-1))\/(58\/29). Is n(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 10\/11?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + m + 10 = 0, 10 = i - 3*m - 0. Suppose -i*w = -2*g + 24, 2*g + 3*w = -2*w - 12. Suppose -3*p + 85 = g. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (9 + -4 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 162. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 256*r + 783. Calculate v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 43. Let a = -36 + z. Let n be -3 + 6 + 0 + 3 + -3. Solve n*x + a + 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6091\/1696 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let 24077*i**2\/4 - 71883*i\/4 - 261 = 0. Calculate i.\nAnswer: -348\/24077, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.635 rounded to the nearest ten?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-64 - (-24122)\/238).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 + 5*i**4\/12 - i**3\/6 - i. Let y = 1 + -6. What is the units digit of v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10047939, 10047936, 10047933?\nAnswer: 10047930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 - 3 = 0. What is the remainder when y is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19834, -19503, -19120, -18685, -18198, -17659?\nAnswer: -17068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -186. Calculate the greatest common factor of f and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*r + 9920, -2*a + 5*r - 9995 = -3391. Let z = -19783\/6 - a. What is the common denominator of 37\/6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93090 or 93092?\nAnswer: 93092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4004 and 249522.\nAnswer: 5489484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(171) + 3 - (4 + sqrt(171))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2\/7 - 128252*q\/7 = 0. What is q?\nAnswer: -32063, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -14524?\nAnswer: -72620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**2 + 4650*j - 1081125 = 0.\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - (-38)\/3. Suppose 0 = -5*m - p + 73. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5710*h**4 - h**3 - 30*h**2 - 6510810*h.\nAnswer: 68520*h**2 - 6*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -2. What is the third biggest value in 2\/9, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 6*a**2 + 2*a + 1. Let m(v) = -7*v - 1. Let b be m(-1). Determine f(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 6*d**2 + 10*d + 108. Let y(p) = p**2 - 31*p + 77. Let s be y(28). What is the remainder when n(s) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 4*p - 59248 = -4*o, 0 = -2*o + 2*p + 29626. What are the prime factors of o?\nAnswer: 3, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoyooy. Give prob of picking 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 1\/92 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 1. Let r(c) = 8*c + 26. Give -5*b(m) - r(m).\nAnswer: -3*m - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*b = 187*b - 26. Is b smaller than 3\/961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 48602, -3, -32 in decreasing order.\nAnswer: 48602, -3, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 0*h**4 + h**4 + (-13*h**3 + 12*h**3 + 3*h**3)*(453*h - 116 - 229*h - 228*h).\nAnswer: -6*h**4 - 232*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = h - 4, 2*g - 6 = -2*h + 2. Suppose -c + 6*c = 5, 4*l + 5*c - 69 = g. What is the highest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(3*28\/630).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -4*y**5\/25 + y**4\/2 - 8*y**3\/15 + y**2\/5 + 27. Solve u(f) = 0 for f.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16628 and 665120?\nAnswer: 665120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 6. Let i be (-2)\/5 + 6\/15. What is the smallest common multiple of 3 - (1 - 2 - i) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-15) - (-69)\/345?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 582098\/363805 - 2\/72761. Factor -20*d**2 + 0 + f*d.\nAnswer: -4*d*(25*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:34 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*190 + -2)\/1. What is the remainder when (-3 + 4)\/(2\/34) is divided by (-4)\/18 + p\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 3. Is 3 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 4*z + 17. Suppose -4*p + 24 = -4*b, -2*b - 18 + 6 = 3*p. Let d be t(b). Calculate the greatest common factor of d and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*i - 2 = 7, -5*y - i + 15 = 0. Let u = -1362 + 1367. Solve u*o - 10 = w, 4*o - 8 = -0*w - y*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/700 and 16\/275.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318196 greater than or equal to 8318196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(80)\/(sqrt(24)\/sqrt(3))) - ((sqrt(833) - -1*sqrt(833))**2 + -4).\nAnswer: -3328 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**8\/24 - 38*f**7\/105 + 43*f**6\/60 - 2*f**5\/5 - 51*f**2 - 2*f. Let d(o) = 0. What is o?\nAnswer: 0, 3\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5318318, -10636634, -15954950?\nAnswer: -21273266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1562 + 263?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v - t = -31 + 157, -5*v - 3*t - 19 = -1 + 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.21674211 rounded to four dps?\nAnswer: -2.2167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 15\/14 (b) -27\/2 (c) 0 (d) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/20 and -103\/4260.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6897\/8 - 854. Find the common denominator of ((-5)\/(-2) - 3)*11 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270529 is divided by 135110.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 39a?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*k + 14. Suppose -y = -k*y - 3. Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38909711, -77819419, -116729125, -155638829, -194548531, -233458231?\n\"Answer: h**2 - 38909711*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -410205113 - 14?\nAnswer: -410205130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78\/17 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36.92? (a) 4 (b) 0.05 (c) 0.4 (d) -636\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/6? (a) 0.1 (b) 4 (c) 11 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-1*2 - sqrt(320).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d = 80220 + 92390. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77282827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 6*y + 847. Let b(c) = -43*c. Determine s(b(z)).\nAnswer: -1849*z**2 + 258*z + 847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 11*a + 3470 = -5*j, -2*j - 1373 = -a. Let y = 687 + j. Let t(f) = 4*f**2 + 3*f + 1. Give t(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/5)\/((-21294)\/(-13520))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-16)*u*u*u)*u)\/(u*u**21*u) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13365639 divided by -4455213?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7464 is divided by 309?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m + 5. Let q(b) = -6*b - 4. Let u = -21 - -11. Let o = 27 + u. Let a = o - 12. Calculate a*d(i) + 6*q(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 359, 2, -0.05, 0.3, -2\/245, -4 in decreasing order.\nAnswer: 359, 2, 0.3, -2\/245, -0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.1 (b) -4 (c) 6357\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 2*n**2 - 26*n - 6. Let c be j(19). Let s be (16\/168)\/(5524\/c) + -1. Let b = 2\/1381 - s. Calculate the common denominator of b and 11\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 258.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8324997 grams in milligrams?\nAnswer: 832.4997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*d**3 - 3*d**2 - 2 + 3*d + 0*d**2 - 91*d**3 - d**4 to m*d**3 + k + g*d + n*d**4 + h*d**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (sqrt(3200)*2)**2) + sqrt(2048) + 0.\nAnswer: -12800 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 3*q**3 - q**3 + 4*q**2 - 4*q**2 + 2*q**3 + 0*q + 0*q - q**3 + (q + 1 - 1)*(0*q**2 + q**2 - 2*q**2) - q - 2*q**3 + q + 5 - q**3 - 5.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004226275 rounded to 7 dps?\nAnswer: -0.0000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Let l(z) = 3*z**2 - 9*z - 8. Give l(s) - 5*n(s).\nAnswer: 3*s**2 - 4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3657 is divided by 1768.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*q**3 - 3890*q**2 + 10776*q + 2088.\nAnswer: 2*(q - 174)*(q - 3)*(11*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 29. Let c be n(8). Suppose 4*t + 2*x - 18 = 0, 0 = c*t - 2*x - 3. What is the lowest common multiple of 35 and t?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-207)\/46)\/(2 + (-9)\/4). Calculate the highest common divisor of 24 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 + 2563*u**4 - 2003290*u**3 + 290811878*u**2 + 150488018107*u - 1687927421257 = 0.\nAnswer: -199, 11, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78805 + -1b07?\nAnswer: 76adc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 17 = -4*o, -5*r - 2*o + 11 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2, -43128 in descending order.\nAnswer: 2, -1\/3, -43128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 11*n**2 + 9*n - 61. Let s(b) = -b**3 + 2*b**2 - b + 1. Let d(u) = -a(u) + s(u). Is 18 a factor of d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 1, 42, 0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2262 - -4059. Suppose -2*k + 1383 = -p. Suppose -3*o - 3*o + k = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(105\/(-180)*4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:30 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1448 and 920464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzn when three letters picked without replacement from zztn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*a + 57 = 0, 2*w - 2*a - 42 = -0*a. Let r = -15 + w. Solve r*l + 6 = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from bic?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14968388 - -0.05?\nAnswer: -14968387.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9643 = -4*y, -7*y - 6423 = -2*a - 4*y. Calculate the greatest common factor of a and 238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 209540 + 97293. Let m = n + -9030. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -b - 3*c, 451 = 5*b - 6*c + 406 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -22*w + 66. Let j be g(3). Sort -1, j, -13, 2.\nAnswer: -13, -1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2133540 - 2?\nAnswer: 2133535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4*3)\/(776\/(-74302)) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.016 or 0.03976?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93002, 186004, 279006, 372008, 465010, 558012?\n\"Answer: 93002*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 10:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 + 368. Let q be (y\/8)\/(3\/2). Let c(u) = -13*u + q*u - 2*u**2 + 0*u**2. Let v(f) = -14*f. What is c(v(r))?\nAnswer: -392*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - f - 4*f + 2*f + 0 + 0 + 0*f + 0*f - f + (2*f - 2 + 2)*(0 + 4 - 5) - f - 3*f + 2*f + 18*f - 28*f + 23*f to p + t*f and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-13)\/4))\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -173552*l**2 + 173552*l**2 - 3*l**3 + 21*l - 18 = 0. What is l?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1\/(-1) + -21. Let q = k - -72. Suppose 5*x = -2*c + q + 30, c - 57 = 2*x. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192228934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14320\/11 + -1297. Calculate the common denominator of -43\/102 and a.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203864872?\nAnswer: 2, 7, 21497587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2 + 1599738*a + 213263472387 = 0. Calculate a.\nAnswer: -266623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -1\/21*v**3 - 11*v + 1\/42*v**4 + 0*v**2 + 0. Factor d(q).\nAnswer: 2*q*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/16 - 13\/48. Which is the second smallest value? (a) -5 (b) w (c) -61 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) + -2 + sqrt(180) + 2)**2 - (-5 + (sqrt(180) - -1*sqrt(180))*1).\nAnswer: -12*sqrt(5) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q**3 - 8 + 8 + (-5*q**2 + q**2 + 2*q**2)*(-22*q - 2 + 2))*(q + q - q) as r*q**3 + h + m*q**4 + a*q**2 + y*q and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(200)*2 - sqrt(200)) + (1*sqrt(200)*-3 - sqrt(200)))\/(sqrt(64)*4*-5).\nAnswer: 13*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 3:19 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56785630827 take away 2?\nAnswer: -1.43214369173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*g = -4, -g = -0*g + 1. Solve -p - p = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 - 1. Let b = -114.59 - z. Let d = b - -0.59000135. What is d rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*i + 5 = 250*i. Suppose -2*f = 4*j - 26, j - 2*j = -f + i. Solve g + g = -j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 22. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -203. Let o be -1 + g - (3 + -1). Suppose -5*x + 4*j + o = 0, -3*x - 2*j = -6*x + 55. Solve -5*p = 3*z - 35, -2*z - z = -x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.1, -1\/22, -13 in descending order.\nAnswer: 0.1, -1\/22, -0.07, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/2*(-2)\/(-4). Let g = -75 + 69. Let m = k + g. Solve 3*l = -l + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26170, 52322, 78452, 104554, 130622?\n\"Answer: -t**3 - 5*t**2 + 26174*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-18)*(-16)\/(-28) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {k: 3, p: 5, c: 1, y: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133160360?\nAnswer: 2, 5, 11, 83, 85793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z + 3. Let x be g(7). Let r(y) = 6 - 3 - 2 - y + 2. Determine r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/3 + 1109627*m = 0. Calculate m.\nAnswer: 0, 3328881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 9. Let j = -1138 - -1188.9. Let z = j + -51. Which is the second smallest value? (a) z (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039999 to 7 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 31*r**8\/48 + 517*r**5\/60 - 2*r**2 + 71*r. What is the third derivative of q(d) wrt d?\nAnswer: 13020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**5 - 5*v**4 + 29*v**3 - 27*v**2 + 6*v + 2. Let b(a) = a**5 - a**4 + a**3 + 3*a**2 - 3*a + 1. Let l(g) = -2*b(g) + k(g). Factor l(x).\nAnswer: -3*x*(x - 1)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(-1120)\/6048 + (-357)\/(-216).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42, 68, 94, 120, 146?\n\"Answer: 26*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5. Let c(d) = 3. Let z(r) = -7*c(r) - 4*l(r). Let t(n) = -n**2 - 9*n - 4. Let u(v) = t(v) + z(v). Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32802 and 693.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*g + g. Let o(n) = -11*n - 16 - 23 - n**2 + 44. Does 8 divide o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511910165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(-2)\/(-16)*4. What are the prime factors of a\/(-6) + 339\/9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -148a96?\nAnswer: 148a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61604435 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3249142 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 18. Let d be 2 - (-4 - -3) - -21. Suppose 130*m = 133*m - d. Which is bigger: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1978230637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -141880666 divided by -70940333\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 7. Let w(t) = -t + 4 + 4*t - 10. What is 6*c(m) + 7*w(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -15. Suppose -255 = -3*t - 3*d, 185 = 2*t - 0*d + 5*d. What is the greatest common factor of t and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10188, 20379, 30570?\n\"Answer: 10191*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nulllulu. What is prob of sequence ulu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3 + 0.7. Let z = -19993\/517 - -1809\/47. What is the third biggest value in 0, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -176, -1, -12, -5, -2, -4 in decreasing order.\nAnswer: 3, -1, -2, -4, -5, -12, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*n**2 - 2*c**2*n**3 - c**2 + 12*n**3 + 2*n wrt c.\nAnswer: -6*c**2*n**2 - 4*c*n**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyy when three letters picked without replacement from yolyw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3985393 is divided by 1992685?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4\/4 - 2*r**3 + r**2\/2 - 2*r - 6. What is y(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-2*1*(sqrt(208) - sqrt(13)) - ((sqrt(130) + -1*sqrt(130))*6 - sqrt(130))\/sqrt(10)))*-5)**2.\nAnswer: 250*sqrt(13) + 8150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 8. Let j be c(9). Let h = j - 36. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107432 and 2402758.\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 2625.\nAnswer: 28875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5056 - -5996. Is w a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30598433?\nAnswer: 30598433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1.09 (c) 565 (d) 6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + 10 + (-10 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7072833.\nAnswer: 3, 17, 138683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*a + 18, -3*b + 4*a + 24 + 0 = 0. Suppose 0 = 2*w + 8, -6*f + 3*f - 4*w = -86. What is the remainder when f is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*r - 9152 = 123*r. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-22\/9))**(-2\/165)*(j*j\/(j\/j**27)*j*j)\/(j*j**(-4\/3)) assuming j is positive.\nAnswer: j**(4099\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 228.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 79*r**5\/20 + r**4\/2 - r**2 - 72*r + 28. Let o(v) be the first derivative of c(v). Find the third derivative of o(k) wrt k.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4106098*j*r*t - 66557*j*r*x**2 - 2*j*x**3 + 2*r*t*x**3 + 10*x**3 wrt t?\nAnswer: 4106098*j*r + 2*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.36 + 0.04. Let z = 34 - 32.86. Let x = z - 0.14. Put a, 0.5, x in descending order.\nAnswer: x, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 4. Give f(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 37*a - 172 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(4*v - 3*v - 3*v) - v - 3*v + 6*v + 2*v + v - 2*v + (-2*v + 5*v - 5*v)*(-2 - 2 + 3).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -286 - -284.01. Let d = 0.01 - m. Let f = -34 - -37. What is the nearest to 0.1 in d, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 110 - 122 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419 divided by -6.\nAnswer: 419\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*f + 6 = 0, -3*u + 3*f = -0 - 6. Suppose -w + 3 + 22 = u. Calculate the remainder when w is divided by (-46)\/(-6) + 4\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q + 2*q - q + 3*q - q + (-1 - 8 + 3)*(-3*q + 2*q - q) + 13*q - 3*q + 0*q)*(-6*q - 6 + 6).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, m: 4}. Give prob of picking 4 t.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + 136. Suppose 0 = -b - s - 112. Is ((-2)\/(-2))\/((-4)\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47126 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -26294?\nAnswer: 26298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/8)\/((-27)\/(-144)). Solve -16*s = -13*s + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + i + 13349 = 0, 5*v - 2*i - 36954 + 3581 = 0. Sort v, 5, -5 in ascending order.\nAnswer: -5, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431 - 505.6. Let a = -81.813 + -0.187. Let z = t - a. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -343.8 - -343.9. What is the nearest to n in 3, 0, -59, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 15*g + 80. Give h(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -7) + 6 + (7 - 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 602*k**2 + 593*k**2 + 587*k**2 - 1772*k**2. Let i(c) be the first derivative of 7*c**3\/3 - 1. Give i(p(r)).\nAnswer: 700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 509797310*b**3 + 330750583*b**2.\nAnswer: 3058783860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let y(u) = -u**3 - 6*u**2 + 7*u + 2. Let n be y(-7). Let c be -2 - -4*(-2)\/(-2). Let a(w) = 0*w + 2*w**2 + n*w - c*w. Give q(a(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 35*s. Let g(c) = 452*c. What is g(y(a))?\nAnswer: 15820*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 12 - 12. Suppose 0 = i + 3*u - u + y, -2*i + 4*u + 24 = 0. Let n be i*(-2)\/(-2) - 4. Which is bigger: n or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19.89218 kilograms?\nAnswer: 19892180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -6081\/475 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 7*o**5\/30 + o**4\/24 + o**3\/6 - 3*o**2 - 6. Let p = 18 - 14. What is the hundreds digit of n(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -359979, -359817, -359643, -359451, -359235, -358989, -358707, -358383?\n\"Answer: r**3 + 155*r - 360135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-44)*47840\/4680?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4631111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204617020885 + 3.\nAnswer: 204617020888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -64 + 69 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 36*w**2. Let h(p) = p**2 + 11*p + 20. Let r be h(-9). Let s(f) = 4*f**r - f**2 + 0*f**2 - f**2. Determine y(s(j)).\nAnswer: 144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -48, -21010, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2281*g**4 + 1014*g**3 + 61*g**2 - 11087*g?\nAnswer: 54744*g + 6084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1416727*u + 1416731*u - 88 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:45 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(77) + sqrt(77)))\/(-1*sqrt(396)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12187391\/9 + -1352193. Let v be (2 + -6)*(-5895)\/(-12). Let b = u + v. Calculate the common denominator of 26\/7 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 42*d**3 + 45*d**2 - 86*d.\nAnswer: -d*(d - 43)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26919 and 1675957?\nAnswer: 45250839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6398 + -6262. What is the remainder when 1074 is divided by x?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttqttqqtqt. What is prob of picking 3 q and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {p: 12, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5379*a - 2552*a - 2488*a. Let y(t) = -4*t**2. Determine y(s(w)).\nAnswer: -459684*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1845*h - 4219514. Determine p(2287).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6419 + 6422. Solve -i*v = -4*h - 28, -5*v + 3*h = 2*h - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 - -105.8. What is the second biggest value in p, -2\/13, -18, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 101. Let b = o - 13. Suppose 47 + b = m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*z - 3*c + 28, 0 = 4*c + 4. Let b = -60 + 24. Calculate the remainder when 6\/27 - 1000\/b is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 = 45*y + 97 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43468\/7 or -6210?\nAnswer: -6210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 243 = -4*l + 256, 4*l = -q + 27 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -97, -146, -195?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*i + 33 = 0, -2*h - 3*i - 3 = -3*h. Calculate the remainder when 36 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 16 - 4 = 0. Let d be (-4)\/6*u - -2. Let c(w) = 37*w - 1071. Let v be c(29). Solve -1 = -4*q - 3*a + 6, -v*a + d = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 7 - 22. Let s(t) = t**3 + 0*t**y + 6*t - 4*t**2 + 0 + 10*t**2 - 2. Suppose 4*a = -21 + 1. What is s(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94803 divided by -1.\nAnswer: -94803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 797985 at least as big as 797986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(((sqrt(14) + (sqrt(14) - sqrt(350)))*-3)\/(2*sqrt(50)))**2.\nAnswer: -467\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7854345 decades to months.\nAnswer: 94.25214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/4 + u**4 - 7*u**2\/2 + 17*u\/4 - 3\/2.\nAnswer: -(u - 3)*(u - 1)**3*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 17. Let h be n(-5). Let a = -1 - h. Let t(l) = -13*l**3 + 7*l**2 - 7*l + 7. Let u(q) = 7*q**3 - 4*q**2 + 4*q - 4. What is a*t(s) - 7*u(s)?\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147688823\/416 - 355021. What is the common denominator of t and 53\/64?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 10\/7, 10?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705443 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 o when four letters picked without replacement from eececeeoeeceec?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 341617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404664337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-12 + -60 + 35).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssqqsbnshqhbsi. What is prob of picking 2 b and 1 i?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -38.7. Let m be (2\/4)\/(2 + -1). What is the second smallest value in -1\/11, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -2*(sqrt(304) - (sqrt(304) + sqrt(304)*-2)) + 1)*4 + 5)**2.\nAnswer: -864*sqrt(19) + 43857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g - 30. What is the smallest common multiple of 6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*b + 141*b + 75*b.\nAnswer: 268*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 54*v - 10. Determine i(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -55935.\nAnswer: 3\/6215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2*1\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69.9 equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26177751871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20290364?\nAnswer: 2, 1123, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13187 + 13197. What is the remainder when 3987 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07617 + -0.17617. Let h = 0.8 + -0.2. Let d = h - 0.55. Which is the third smallest value? (a) v (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 533\/1782 - 19\/162. Let v be 0 + 1 - (0 - 1). Suppose -v*l = -4*l. Is l != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 0*s - 2*d + 9, d - 21 = 7*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let j = -27.9 - -28.4. Put -0.5, j, 3\/7, u in ascending order.\nAnswer: -0.5, 3\/7, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 21*n**2 + 6*n + 8. Let s be c(8). What is s rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*b**2 - 19*b**4 + 93 - 133*b**4 - 89 wrt b.\nAnswer: -3648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1660560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = 0, 4*f + 21 = 5*q + 6*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Suppose 0 = -3*c - 5*m + 4, n*m - 6 - 2 = -4*c. List the prime factors of (-3)\/c - (-13 + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 at least as big as 3519\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 2606, 6790, 12636, 20132, 29266?\nAnswer: 40026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14707 not equal to 14704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 - 7.82. Let w = d + 3. Let j be -1*12\/(-24)*(-40)\/(-4). Which is the third biggest value? (a) -3 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 22. What is the second smallest value in 0, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 282 = 66. Let k = u - 101. Solve 0*x + 4*h = 2*x - 28, k = -3*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 718052*w**2 - 367041*w wrt w?\nAnswer: 1436104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.44 less than 1502?\nAnswer: 1407.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**6\/40 - q**5\/10 - q**4\/8 - q**2\/2 + 2*q. Let b(n) be the first derivative of d(n). Suppose b(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = 20. What is the second smallest value in 3, j, 2\/33, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1098821 - -1574089. Let z = -925268 + b. What is z rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**4\/3 - 625*a**3\/3 - 13785*a**2 + 720325*a\/3 - 2492750\/3 = 0. Calculate a.\nAnswer: -59, 5, 10, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 2\/485, -0.1, -42?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -126170412 and 4.\nAnswer: -126170408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 31414314?\nAnswer: -31414314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u - 27. Let x(m) = -m**2 + 6*m + 9. Let z be x(7). Let h be (-2)\/12*u\/z. Which is the second smallest value? (a) h (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 29*j**2 - 4*j - 85. Let q be a(-29). Calculate the greatest common factor of q and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 2*x)*(-2 - 4 + 2).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 - 10*m + 1. Let u(d) = 7*d**2 + 21*d - 3. Let v(r) = 9*b(r) + 4*u(r). Let x be v(7). Let w = -5\/2 + 23\/10. Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 85 = -59. Find b such that -y - 68*b**3 - 2088*b**2 - 129*b**3 - 48 - 127*b**3 - 880*b = 0.\nAnswer: -6, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17953 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 13677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 4\/(-1) - (-204)\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.8 + 18. Let u = 4.3 - o. What is the second smallest value in -0.2, u, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -15. Let j = h + -91. Which is the closest to -2? (a) 2\/9 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**2 + 2. Let v(z) = -36*z**2 + 18*z - 266. Let l(d) = 17*d**2 - 8*d + 118. Let j(m) = 9*l(m) + 4*v(m). What is j(f(w))?\nAnswer: 36*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6743 = 47*w - 4161. Calculate the remainder when w is divided by 121.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*n**3*s**2 - 6*n**3*s - 29*n**3 + 2*n**2*s**2 + 19*n**2*s - 666*s**2 wrt s.\nAnswer: 124*n**3 + 4*n**2 - 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 187\/5 (b) 1\/6 (c) -2 (d) -66 (e) 15 (f) -3 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, 2, 0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.5 - -11.2. Let f = w + -0.7. Which is the third biggest value? (a) f (b) 1\/113 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.1. Put f, 53, 5 in decreasing order.\nAnswer: 53, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 29*x**6\/120 + 5*x**3\/6 + 21*x**2. Differentiate t(w) wrt w.\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -913\/8. Which is the second smallest value? (a) -3 (b) -2 (c) 0.6 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**6\/2 + 9*f**5\/5 - 9*f**4\/4 + f**3 + 6. Factor u(o).\nAnswer: -3*o**2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75354 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.39984?\nAnswer: 0.19992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0426 + 26.0426. Which is the closest to l? (a) -2\/23 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7067318003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + -16. Let l = q + 33.4. Let u = l + -10.3914. What is u rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 8*g + 7. Give u(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 2\/63, 3.3, 16.2?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423 and 7465284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. Suppose 10 = v*j + n - 6, -4*j - 5*n + 32 = 0. Let c = j + -3. Solve 0 = -2*m - c*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1016, -1, 69, 0 in decreasing order.\nAnswer: 69, 0, -1, -1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -195 - -299. Suppose 0 = -3*h, 2*a - x = -2*h + 36. Calculate the greatest common divisor of a and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.97 - -0.03. Let t = -3365\/71104 + 1\/2222. Let r = 329\/192 + t. Which is the second biggest value? (a) l (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18087, 18146, 18271, 18462?\n\"Answer: 33*y**2 - 40*y + 18094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) - (-2)\/(-8)*-2. Let k = 0.3 - 0.2. Which is the second smallest value? (a) -4 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*y - 3*z, 11454*y = 11453*y - 2*z - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 196, 194, 192, 190, 188?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 32*j - 38*j. Solve -6*y**3 + 13*y**5 - 8*y**2 - 20*y**5 - j*y + 8*y**5 = 0 for y.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29629, -29630, -29619, -29590, -29537, -29454, -29335, -29174?\n\"Answer: h**3 - 8*h - 29622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*m + m**2 - 86*m - 193*m - 16*m.\nAnswer: m**2 - 410*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 0.43. Let n = -9.7 - -10. Which is the biggest value? (a) -1 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 0*d - 2*d)*(1409 - 7*d + 8*d + 1437 - 3493*d**2 - 2846) as c + o*d**2 + h*d**3 + z*d and give h.\nAnswer: -6986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1691, -3328, -4965, -6602, -8239?\nAnswer: -9876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 15*y - 7*y. Solve -h + 5 = -2*l, l + 0*l + 1 = y*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 47*n**2 - 53*n + 16. Let l(y) = -24*y**2 + 28*y - 10. Determine 3*d(w) + 5*l(w).\nAnswer: 21*w**2 - 19*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 2540 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/36)\/(1\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 3815*f - 52430.\nAnswer: -5*(f - 749)*(f - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 0 + sqrt(5) + (sqrt(45)*3)**2.\nAnswer: 4*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 11*t**2 - 13*t + 17. Let y be x(12). Suppose 2*d + 325 = 6*m - m, -y*m = -d - 320. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -159, -245, -337?\n\"Answer: -3*l**2 - 71*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11082659?\nAnswer: 7, 487, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 5:51 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642212 times -109?\nAnswer: -179001108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -311, -472, -633?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, -134.5 in increasing order.\nAnswer: -134.5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143047 is divided by 27879.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3196 + -3194. Let v(q) = q**2 + 3*q - 7. Let y be v(-5). Suppose 7 = 2*u + y. Solve 3*d - u = x*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 65 = 55. Let r = 77 - w. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -2399?\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 155608 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 8*r - 3*r. Let q be (-34)\/6 - 1\/3. Let b = q + r. What is the highest common factor of 36 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 46*o**2 - o - 2. Let a be j(-1). Let z = 89 - a. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*p - 137*p - 6 = -2*l, 4*p + 24 = -4*l for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c**3 - 178*c**2 + 17*c - 15. Calculate j(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 26\/(-4). Let m = 4 + u. Is 2 - 11*(m + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryi when three letters picked without replacement from {r: 3, i: 3, y: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r + 4*i + 30 = 0, 20 = -4*i. Suppose r = -3*d - 8. Let h = d - -7. Solve 2 + h = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -181, 208, -1 in descending order.\nAnswer: 208, 2, -1, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v**2 + 5*v - 9. Let i be s(6). Let n = i + 29. Is 144\/n - 12\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 34056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2512\/215141 or 0?\nAnswer: 2512\/215141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -152052, -152044, -152032, -152016, -151996, -151972, -151944?\n\"Answer: 2*g**2 + 2*g - 152056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603025 is divided by 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1885*i**2*q**2 + 800*i*q**2 wrt i.\nAnswer: -3770*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 200?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -59\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -29304.\nAnswer: 29305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 84 = 46. Let r(f) = f**2 + 8*f - 5. Let w be r(-6). Let d = w - s. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 = 4*c, -4*b + 2*c = -0*c - 2. Let r be b\/(-3) - ((-952)\/343)\/(-8). Is r less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -306 - 1115?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, 326, -5, -2, 3 in ascending order.\nAnswer: -5, -2, 0, 3, 4, 5, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q - 44. Calculate the greatest common factor of q and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 - 2010 + 2010 + 55875*z - 1188*z**3 + 181731*z - 116415*z**2.\nAnswer: -3*z*(z - 2)*(z + 199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, w: 2, q: 2, t: 4}. Give prob of sequence zttq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -4*c**4 + 11*c**3\/6 - 25*c**2. Let v be q(-9). Suppose -20*n = -v - 45. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 128. Give p(-19).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 + 20*b**2 - 7*b + 17. Let d(j) be the first derivative of -j**4\/4 - 7*j**3\/3 + j**2 - 6*j - 181. What is 17*d(q) + 6*n(q)?\nAnswer: q**3 + q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 43 = 2*h. Let t(r) = -4*r - 85*r**2 - 1 - 2 - 4. Let g be t(h). What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 6*f - 11. Calculate the remainder when y(9) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276 + 2*f + 328 + 1374.\nAnswer: 2*f + 1426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, s: 4, n: 1}. Give prob of picking 1 s and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37203, 148777, 334733, 595071?\nAnswer: 929791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 238 + -229. Let d = -12 + 5. Let w = d + y. Sort 1\/4, w, -0.5 in increasing order.\nAnswer: -0.5, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -46 + 20 + 39\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.3, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(141\/1175)\/((-3)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*n + 4*s - 0*s, 0 = -s - 2. Suppose 3*u + b + 2 = 0, 2*u + u = 3*b - n. Find the common denominator of -7\/2 and (u\/(240\/(-146)))\/((-19)\/57).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a6aa74 (base 11) to base 8.\nAnswer: -41441741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -s - 264, 3*s = 3*v - 0*s - 168. What is the highest common factor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**9*v))\/(v\/(v*v*v\/(v*v\/(v*v**(-4\/9)))*v)))**(-29))**(-17) assuming v is positive.\nAnswer: v**(-28594\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230383*p**3 - 229531*p**3 + 459913*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 2*d - 5 - 4, 10*p + 0*p - 2*d - 24 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 928, 1261, 1594, 1927?\nAnswer: 2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7624 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -y + 152, 2*y - 5*y - 3*c + 531 = 0. Calculate the highest common divisor of 129 and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117230994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*v + 5*j = -308*v + 361, 5*v + 3*j = 591. What is the remainder when 841 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owoowooo. What is prob of picking 3 o?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + -2 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkw when three letters picked without replacement from {k: 2, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -69) + (59 - (179 - 96))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39 - (0 + -2 + 2). Let w = k + -22. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*j + 464 = -354 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -2, -4, -3, -4676.31 in decreasing order.\nAnswer: 5, -1, -2, -3, -4, -4676.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1972 + 2929. List the prime factors of h.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -94*q**2 - 5696*q + 14187. Calculate x(-63).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 8. Let x(n) = 7 + 17*n**2 - 2 + 144*n - 137*n. Is x(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22178 is divided by 426?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*m - 559 = h + 326*m, 5*m = 5. Which is the biggest value? (a) 4 (b) 2\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*h = -7*h + 12, 2*h + 7 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144*m - 5 + 0*m**3 - m**4 - 11*m**3 + 9*m**4 + 142*m to r*m**3 + w*m**2 + q + d*m + s*m**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*u + 211, -8*j - 745775 = -2*u - 745377 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/305 and 101\/2739464?\nAnswer: 835536520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1599996*w + 8. Let d be i(-2). What is d rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0*q + 7*q - 5*q - 3. Let t be r(5). Solve -2*v - t = 3*u, 4*v = -u - 4*u - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 a when four letters picked without replacement from {a: 2, n: 18}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -8*p + 243. Suppose -p = h - 135. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) + 1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -731692 in decreasing order.\nAnswer: -3, -4, -731692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-156248\nAnswer: -187497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/495*33*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Differentiate -6*q**3 + 35981*q**2*v + 57*q*v - 152722395*v with respect to q.\nAnswer: -18*q**2 + 71962*q*v + 57*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -357 + 616. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2. Let y(m) = -12*m**2 + 3*m + 9. Let r(l) = -85*l**2 + 20*l + 60. Let k(g) = 3*r(g) - 20*y(g). Determine s(k(j)).\nAnswer: -675*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440475 divided by -175.\nAnswer: -2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229168199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*q = 915*q - 1866 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.8. Sort -5, 2, u, -1.\nAnswer: -5, -1, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/60 + ((-1127)\/105 - -19).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2. Suppose -2*n - 9 = -17. Suppose 0 = -8*a + 4*a + 4*t + 28, -5*a + n*t + 34 = 0. Determine w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 102. Let k(n) be the first derivative of -n**4\/4 + n**3\/3 - 5*n - 1. Determine k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-22*y**5 - 56*y**5 - 278*y**5) - 3*y**5 + y**5 + 0*y**5 + 2*y - 2*y - y**5 + (y**4 - 4*y**4 + y**4)*(-y - y + y).\nAnswer: 711*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 199 times 0.2991662\nAnswer: 59.5340738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3233 - -113410?\nAnswer: 122143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19765658.\nAnswer: 2, 11, 898439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-4) - 1\/4. Suppose -6 - 8 = -z*h. Let a(v) = -2*v. Let l(j) = 6*j + 1. Let t be 144\/80 - 2\/(-10). What is h*a(d) + t*l(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248 - -250. Solve -2*c - w*c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7 + s + s - s. Let x be r(7). Let u = 5 - x. Which is the smallest value? (a) -4 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116534812.1 + 3.54?\nAnswer: -116534808.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -27. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 41. Let f(i) = -3*i - 5. Let a be f(x). Find the second derivative of 4*t**3 - 6*t + 5*t**3 + t**3 - a*t**3 wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4855 - -4857. Which is the nearest to -56? (a) -0.5 (b) -0.3 (c) x (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177 + 372 + 267*f - 195 + 150*f to the form v + w*f and give w.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 347 + -175. Let k = f - 163. Let g = 31 - 63\/2. Sort k, -4, g in descending order.\nAnswer: k, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(6\/5)*r**17\/r assuming r is positive.\nAnswer: r**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5 + 15. Factor f*y + y + y**2 - 3*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11*u**2 + 344*u + 35. What are the prime factors of a(27)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 382401?\nAnswer: -34416.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/13))**27\/(f\/(f**14*f)*f**(-1)*f))**(-2\/45) assuming f is positive.\nAnswer: f**(-256\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 53\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 17481133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*l + 25, 27*l - 3*k + 7 = 23*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/30)\/(2\/(-18)). Let w = 10 - r. Suppose 20 = w*u - 4. Solve -a = -u*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + h = 22928, -t + 10198 = 3*h - 1251. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(152)*-4 - sqrt(152))\/(4*sqrt(8)*-3))**2*2.\nAnswer: 475\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 2. Let b be (0\/2)\/(2 + -1). Let j be v(b). Let o = 1069\/2 - 535. What is the closest to j in 0.3, o, 2\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 46*q + 204. What is the smallest common multiple of 22 and v(6)?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8309 and 333547?\nAnswer: 2334829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -600*g**3 - 3303*g**2\/2 - 1362. What is the second derivative of b(f) wrt f?\nAnswer: -3600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -38\/162851?\nAnswer: -38\/162851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (330\/(-88))\/((-1)\/(-508)). Let d = -21 - n. Is (68\/(-16))\/((-3)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 4*z**2 + 6*z + 9. Let b be g(-6). Suppose b = 8*j - 5*j. Let f = -17 - -45. Calculate the remainder when f is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, -5, 1\/91?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3658 divided by 59.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.072.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/5 + (-276128)\/(-160) a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 11991242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8481 tonnes in grams?\nAnswer: 6848100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/4 - o**2\/2 - 3*o + 9. What is x(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -605 (base 7) to base 13.\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -3*n**4\/4 + 115*n**3\/3 - 89*n**2. Let y be t(12). Solve -7*a + 0 = y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*f - 10 - 104 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/245 + (-16)\/7*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**3 + 8*h**4 - 7*h**4 + 7*h**3 + 2*h + (20*h**2 - 11*h**3 - 20*h**2)*(h - 3*h - h).\nAnswer: 34*h**4 - h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4039233?\nAnswer: 3, 11, 122401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 612607532 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7227 and 1980.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*m + 3)*(-2*m + m + 2*m)*(515*m**2 - 229*m**2 - 227*m**2)*(3*m + 5*m + 3*m).\nAnswer: -2596*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6876795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43549, -47148, -50747, -54346, -57945, -61544?\nAnswer: -65143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 164. Let n(b) = 62*b**2 + 34*b + 5. What is n(r(f))?\nAnswer: 558*f**2 + 60906*f + 1661981","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33913214*l**2 + 50640040*l.\nAnswer: 67826428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 194?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109239988864887.19999848 + 109240160430799.2. Let f = z - 171565933. Let a = f + 21. What is a rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/6*(-6)\/4. Suppose b + i = -2*b + 26, -5*b + n*i = -15. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(2\/6). Let x be (3*(-2 + 4))\/y. Solve -2*k + 0 = -x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {z: 3, g: 9}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11669 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002246085 to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 7*q + 1. Let h be w(-8). Suppose -4*s = -5*d + 166, 1 - 11 = -d - 5*s. What is the greatest common divisor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 9*f**2 + 7*f - 10. Let p be (-1 + -2 + 51\/12)*4. What are the prime factors of c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/10)\/(6560\/(-200)). Is r greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 115*d**2 + 245*d + 125.\nAnswer: -5*(d - 25)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**3 + 2*r**2 - 2. Let o be i(-1). What is the greatest common divisor of o and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -387, 0, 1 in descending order.\nAnswer: 1, 0, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 1. Let y be ((-30)\/20)\/(6\/(-8)). Suppose -m - y = -4. Calculate g(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1902462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15847823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 48*u**3 + 8*u**2 - 10*u + 34. Let c be n(17). Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -10 (b) 15 (c) -2\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xete when four letters picked without replacement from teetexttgttxtttt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 2, i: 4, f: 3}. Give prob of sequence if.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/2129449 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -4*j - 39900. Round j to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3873, -3880, -3905, -3954, -4033, -4148?\n\"Answer: -j**3 - 3*j**2 + 9*j - 3878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.10614 - -4.10614. Which is the biggest value? (a) 1 (b) j (c) 4\/227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34191*h**3 - 72805?\nAnswer: -102573*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*x**2 - 125*x**2 + 8 - 124*x**2 + 496*x**2 - 127*x**2 - 509*x.\nAnswer: -9*x**2 - 509*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Let q(s) = 21*s - 51. What is the least common multiple of q(3) and h\/6 + (-104)\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let v(o) = -2*o + 6. Let d be v(3). Sort d, 3, s, -4 in decreasing order.\nAnswer: 3, s, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2581 - 2584. Let u be (2\/(-4))\/(15\/(-36)). Sort s, 0.3, u, 2.\nAnswer: s, 0.3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(sqrt(272)\/sqrt(8))\/sqrt(2))**2*3.\nAnswer: 16524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 0.5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 7*v + 5*v + 34 - 63 in the form y + n*v and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -15, 1, 33, 87, 169, 285?\n\"Answer: y**3 - y**2 + 2*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, 8.9, -0.1, -2 in ascending order.\nAnswer: -2, -0.3, -0.1, 0, 8.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43873 + -519?\nAnswer: -44392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -293, 3, 10, 5, 4 in descending order.\nAnswer: 10, 5, 4, 3, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b**3 + 1 + (b**2 - 6*b**2 + 3*b**2)*(-6*b - 12*b - 5*b))*(2 + 5 - 4)*(-6 + 3 + 6).\nAnswer: 432*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -14?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 792*d**3 + 4338*d**3 - 5542*d**2 + 136*d**3 wrt d.\nAnswer: 31596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2170)\/15)\/((-12)\/234). Let z = d - 1457. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l + 28. Let r = -8 + 8. Let g be k(r). Suppose -2*p + 2 = 5*t, -4*p + 8*p - 2*t = g. Let w(c) = -c**2 + 6*c + 6. Determine w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 28*z - 10 = 24*z, 0 = 2*k - 2*z + 4. Let n(q) = -34*q + 30*q**2 + 69*q - 36*q. Calculate n(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 1 - 2*w - 1 + 1. Let o be s(1). Solve -a = 3*q - 15, o*q - 3*a + 8*a = 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -77*r**2 - 66*r - 132. Determine h(-2).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**6 - 597*u**4 + 167*u**3 + 52*u**2 - 10*u - 30 wrt u.\nAnswer: -480*u**3 - 14328*u + 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22282190 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c - 5103 + 3*c - 3*c**3 + 115*c**3 - 7*c + 12*c with respect to c.\nAnswer: 336*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636 = c + 640 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-14 - 0))\/(30\/4)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 410 - 138. Suppose 2*j + y = m, 4*j - 408 = j - 4*y. Suppose -h + 5*h + j = 4*n, 4*n + 3*h - 171 = 0. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 17*i**2 - 11*i + 81. Give u(9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 4\/3 (c) -16 (d) -536.4 (e) 3\/7 (f) -0.1 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/15 - (-145591)\/795. What is the second derivative of -1 - 94*z - 11*z**3 + y*z**2 - 7*z**3 - 10*z**3 + 37*z**3 - 11*z**3 wrt z?\nAnswer: -12*z + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/15 - 104*m**2\/5 + 158680*m\/3 + 318080 = 0 for m.\nAnswer: -710, -6, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 38 - 34 = 0. Suppose -i + 3*i + j = 0. Let c(q) = -q**3 - 9*q**2 - 5*q + 13. Is c(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506031 is divided by 215145?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-58)\/(-60) + ((-34)\/(-30) - 1) and 279\/27 + -11 + -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 2\/2*-2. Let h be 898\/10*-23 - v. Let t = -2072 - h. What is the common denominator of t and 89\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24347*h**2*o**2*v + 51*h**2*o*v**2 + 2*h**2*o*v + h*o**2*v**2 + 2*h*o - 2*o*v**2 + 14 wrt o.\nAnswer: 48694*h**2*v + 2*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/6 - 23*u**2\/3 - 529*u\/6 = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2712 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 407794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, -3, 92, 3\/8, -0.3, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/24 + g**3\/3 - 6*g**2. Give y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 4. Let z be t(-2). Suppose 47 = z*c - 5*c. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.7 - -52.7. Which is the biggest value? (a) 3 (b) d (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19782 = -10*v - 3299*v + 13308 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.07*6\nAnswer: 6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 16. Let a be (6 + 3)\/(-3 - 21\/(-6)). Let f be 74\/6 - ((-96)\/a)\/8. Give i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 11472*z**2 + 8213940*z + 16473800.\nAnswer: 4*(z - 1435)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.31 + -1.31. Let u = -0.7 - 3.3. What is the biggest value in v, u, -1\/9, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:01 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1.3. Let n = -16 + 15. Let v = n + 1.7. What is the smallest value in v, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*o**2 - 2243*k*o - 3*o**3 - 4*o**2 wrt o?\nAnswer: -4*k - 18*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = -z, 1 + 4 = 5*s + z. Suppose 3*p - s*d = -3*d + 14, 3*d = p - 18. Suppose -3*x + 21 = p. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0.3. Let o = 3.97 + 0.03. Let r = o + -5. What is the closest to r in 0.4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 25. Let p be (-9)\/(-18) - k\/(-4). Which is the closest to 0.3? (a) 0.3 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -5. Let v = 15 + f. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s = -35*s + 64*s - 27 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.4. Suppose 9*o = -67 + 40. What is the second smallest value in 0, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*n + 10331 = 0, 2*v - 4*n - 1112 - 5762 = 0. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34872\/4 - 2*(-4)\/4. Let y = k + -141. Suppose 0 = -16*j - 1491 + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.46, -3, 0.2 in increasing order.\nAnswer: -4, -3, 0.2, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4 = 4*l, -4*x + 1446*l - 1447*l = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 24*y - 25. Let p(q) = 4*q. Calculate p(s(h)).\nAnswer: 96*h - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -59. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**2 - 61*l + 4. Let k(a) = -63*a**2 - 433*a + 29. Let w(b) = -2*k(b) + 15*t(b). What is w(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.597 - 0.203. What is s rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12955055 divided by -7885.\nAnswer: -1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 - 215. Calculate the smallest common multiple of x and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from uxuj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -716932260 to the nearest 100000.\nAnswer: -716900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 99504 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(28*-1) - (-180387)\/1134. Calculate the greatest common divisor of z and 8639.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/399455 and 53\/3164?\nAnswer: 1597820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -120031 (base 5) to base 15\nAnswer: -147b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14*a - 12. Let f(p) = -p. Let i(y) = -3*f(y) - n(y). Let o be i(-4). Is 4\/o*6 - 3932\/(-28) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 6. Let c be k(-4). Let b be (-98)\/c - 3\/3. What is the greatest common factor of 72 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*t + 0*t**3 + 0*t - 3 - 21*t**4 - t**3 + 0*t**2 + t**2 + 108*t as s*t**3 + v*t**4 + p*t + u + g*t**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 97?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*n - 27*n - 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12329782?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 507040106 and -5.\nAnswer: -2535200530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/4 + 5*r**3\/3 - 7*r**2\/2 - 3*r + 207. Calculate y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2312506048?\nAnswer: 2, 401, 90107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*c - 4*a**2*c**3 + 2*a**2*c**2*p - 2*a*c - 9*a*p + c**3*p wrt a?\nAnswer: 18*a*c - 8*c**3 + 4*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**2. Suppose p + 3*p - 16 = 2*d, 3*d + 2 = -5*p. Let j(b) = -2*b - 6. Let x be j(-5). Let w(z) = z**p - x*z**2 + 4*z**2. What is s(w(n))?\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 22 - 41 + i**2 + 10*i - 14*i. Let t be a(7). Solve -t*p - 5*s = -14 + 3, -4*p = -4*s + 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 53588*j**2\/3 + 214376*j\/3 + 214384\/3.\nAnswer: -2*(j - 26798)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/4 + 2*a**3 + 3*a**2\/2 - 3*a - 2. Suppose 4*w + 10 = 2*w. What is the units digit of m(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {o: 4, l: 2, a: 1, u: 3, e: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.1 + -28. What is the third biggest value in -2\/5, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*t + 229*t - 469*t - 77 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24 + ((-33)\/3 - -3). Solve -3*f - 4 + q = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002147 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 9*w + 91, 2*w - d - 3166 = -3173 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445086 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94740 divided by 23685?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 - 66*f**2 + 117*f + 1026 = 0. Calculate f.\nAnswer: -3, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 17352\/(-8688))*6\/15. Is m not equal to -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 48 = f. Suppose 2*w + f = w. List the prime factors of -4*5*9\/w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g - 28*g**3 - 18*g + 8*g**3.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4468971 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 1, q: 6, m: 5}. What is prob of picking 1 m, 1 j, and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t*z**4 - 922*t + z**4 - 230*z**2 wrt z?\nAnswer: 8*t*z**3 + 4*z**3 - 460*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1125588 and 27?\nAnswer: -3.0390876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 828002094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73455, -73286, -73117, -72948, -72779?\nAnswer: -72610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:24 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f + -5697e?\nAnswer: -569ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 5) to base 8.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -7. Let q(z) = -2*z + 30. Let a be q(g). Suppose k + 36 = a*k. Calculate the least common multiple of 16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*x**3 + 6*x**2 - 137 wrt x.\nAnswer: 36*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -18*v - 79. What is m(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -155*a**2 - 1119*a + 9. Let z(l) = 75*l**2 + 560*l - 4. Let i(t) = 4*g(t) + 9*z(t). Find the second derivative of i(r) wrt r.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20820282 to 4 decimal places.\nAnswer: 0.2082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*c + 5*c. Let t = c - -19. Suppose 0 = 63*u - 202 + 139. Solve -3*d = u + t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**3 + 20242*x + 10*x**3 + 4 + x**4 + x**3 - 20193*x to s*x**2 + t + k*x + c*x**4 + p*x**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:07 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 960, 10, 2, 4 in descending order.\nAnswer: 960, 10, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t - 8. Let q(r) = 5*r - 4. Let c(k) = -k**3 + 13*k**2 - 17*k + 15. Let g be c(9). Let o = g + -182. Give o*a(j) - 9*q(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12296*0.6.\nAnswer: 7377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**3 + 8*n**2 + 756*n + 77522 wrt n.\nAnswer: -3*n**2 + 16*n + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.0546642\nAnswer: 1.9453358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 2. Let i(g) = -g + 2. Suppose 0 = -2*v, -k - v = 4*v - 3. Give k*i(d) - 4*q(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -9889375*t**3 - 87027500*t**2 - 191467100*t - 19360 = 0?\nAnswer: -22\/5, -8\/79115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*x - 3*l - 274, 2*x = 4*l + 142. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 21*u**2 + 7*u - 2. Let o(p) = -23*p**2 - 6*p + 1. Give -2*k(m) - 3*o(m).\nAnswer: 27*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhr when three letters picked without replacement from rbrrrbrhrbbrbb.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-168)\/665))\/((-35)\/147*-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w. Let n(h) = 539*h. Calculate v(n(b)).\nAnswer: 4312*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7707 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5621)\/(-49) + 2 + 4\/14. What is the greatest common factor of c and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypy when three letters picked without replacement from {p: 2, y: 2, a: 8, h: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, h: 10, v: 5}. What is prob of sequence ahv?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*b - 12, 5*b = -3*w + 6*b + 8. Let o = 2884 - 2881. Solve p + 0*p - 4*k = 1, 0 = -o*p - w*k + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*g + 17 = 0, -1011*g - 9 = 3*l - 1009*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1478*g - 85*g + 37289 = 1348*g - 29664 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97629519 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -678 and -1.26.\nAnswer: 854.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -214 divided by 55\nAnswer: -214\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 18*c - 13. Let d be v(-9). Let y = d + -34. Let z = y - 14. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 minus -2052?\nAnswer: 2052.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = b - 0*i - 37, 3*i = 12. Let z = b - 12. Suppose -3*g - 12 = 3*g. Sort g, -5, z in decreasing order.\nAnswer: z, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1) + 2\/(-2). Let x = 8 - 14. Let s be (3 + -1 + x)\/t. Let p(i) = 2*i + 1. What is p(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6989, 13928, 20855, 27764, 34649, 41504, 48323, 55100?\nAnswer: 61829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 42*j = -38*j + 42309, 5*j - 14122 = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 - -443. Calculate the highest common factor of j and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 56784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -30*w**2 - 272*w - 18. Determine v(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181.43 - -179.43. Which is the fourth biggest value? (a) 5 (b) -3 (c) 0.06 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - 7*k - 2. Let v(g) = 13*g**2 + 28*g + 7. Let u(d) = -9*n(d) - 2*v(d). Suppose 0 = c - 5*w, 2*w + 14 = -4*c - 8. Calculate u(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0.3, -1.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -4*z + 709. Let o be (-4)\/(-14) + 1564\/z. Let h(r) = 6*r**2 - r. Let m be h(1). Calculate the greatest common factor of m and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21240410, 21240439, 21240496, 21240587, 21240718?\n\"Answer: i**3 + 8*i**2 - 2*i + 21240403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1488 divided by -24\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-6 - 0) - 1 - (-1 - (-2 - -4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 64\/800*10*10*(-3)\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 4*z. Let r be f(3). Let p = 71 + -69. Find the third derivative of -16*a**2 + r*a**p - 3*a**5 + a**5 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.944 rounded to 1 dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) -1\/4 (c) 0.2 (d) -4 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428849993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -522*b**4 - 2*b**2 - 53*b.\nAnswer: -12528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m + 1 - 3 + 12*m)*(10*m**2 + 19*m**3 - 10*m**2)*(1 - 6 + 0) as b*m**4 + q*m**2 + p*m**3 + w*m + c and give b.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.023 + -2.023. Let z = -0.4 - -0.3. Which is the closest to -2? (a) z (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 - 3*f - 6. Let i be g(-4). Suppose 5*u - 3*o = 276, u - o - i = -30. Calculate the greatest common factor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 1:42 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - 4 - (0 + -8) - -14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*j + 15 = 0, 4*j = 7*q - 8 - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259 (base 12) to base 4.\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 = h, 3*h = -3*g - g - 9. Suppose g*o = o. Suppose 5*k - 2*s - 45 = o, k - 9 - 7 = -s. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:54 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/120 - 3*q**5\/20 + q**4\/4 - 2*q**3\/3 + 10*q**2. Is 9 a factor of m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -85 - 5. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 + 7. Let p be f(-6). Find the third derivative of 15*y**5 + 0*y**2 + p*y**6 + 4*y**2 - 15*y**5 wrt y.\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, y: 1, u: 1, b: 1, i: 1}. What is prob of sequence ibuy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/21 - 18\/(-63)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77299351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2040 - -3940. Does 38 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268 + 273 + ((-78)\/65)\/((-6)\/(-160))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 62*c\/5 - 336\/5.\nAnswer: -2*(c - 24)*(c - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 84?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in -1\/2, -17237, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 m when four letters picked without replacement from eeeeeeememmeeee?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 95.\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4240 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764098.1 minus 5158065?\nAnswer: -3393966.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -3 + 1 + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 498*u**3 + 3*u**2 + 4*u + 3. Let h be q(-2). Let w = -39803\/10 - h. Calculate the common denominator of -22 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*n + 14, -2*n - 5*v = 3 + 4. Find the third derivative of 34 - 34 - n*r**3 + r**3 + 4*r**2 wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 2*z**6\/75 - 7*z**5\/25 + 17*z**4\/15 - 34*z**3\/15 + 12*z**2\/5 + 74*z + 1. Determine k so that a(k) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*v**3 - 14*f**4*v**2 + f**3*v + f**2*v**2 + 205*f*v**3 + 2*v**3 wrt f.\nAnswer: 48*f*v**3 - 336*f*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*t = -266. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 88*k - 510. Let m be u(-8). Which is the nearest to 3? (a) 2\/5 (b) m (c) -1 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 322 + 322 - 5*g + 3*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70067023 is divided by 1575.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.921 - 0.129. Let a = -0.05 - b. Let m be 2*(38\/18 + -2). What is the second biggest value in m, 2\/17, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4180829 - 0.4\nAnswer: -4180829.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 8*a**2 + 2*a. Let u(t) = -t**3 + 4*t**2 - 3*t + 7. Let h be u(3). Let w be n(h). Round w to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2732 + 2942. What is the lowest common multiple of f and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10052 - -5?\nAnswer: -10044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 70852 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 2)*(-4*h + 2*h + 3*h) + 563*h - 283*h - 49 - 281*h to the form q + n*h and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*v + 113*v + 324. Suppose 1417 + 1391 = v*z. Calculate the remainder when z is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -3, 5 in descending order.\nAnswer: 5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, -8, -12, -5, -2 in ascending order.\nAnswer: -12, -8, -5, -2, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 172. Let t(b) = 9*b + 2778. Calculate t(y(c)).\nAnswer: -27*c + 1230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.73 and 1.3539484386?\nAnswer: 2.0839484386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 3 + (-3 - 1). Is 16 a factor of (-47)\/z - (-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 6 = 0. Suppose -5*l = d + 2, -2*d = -l + 1 + h. Solve 3\/2*f - 1 + f**2 + 1\/2*f**5 - 2*f**3 + l*f**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169118*y**2 + 84162*y**2 + 84609*y**2.\nAnswer: -347*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 0.0425, -0.2, -6 in descending order.\nAnswer: 6, 1, 0.0425, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 - -547. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -13. Suppose 12 + 86 = r*h. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 87, 93, 101, 111, 123, 137, 153?\n\"Answer: d**2 + 3*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 724 + -567. Suppose k = 7*j - 11. What is the greatest common factor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.031 - 0.431. Which is the nearest to x? (a) -0.5 (b) 0 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 6*q**2 + 176*q + 96. Calculate p(-9).\nAnswer: -1731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/7, 0.1, 2, -194?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21586238 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:45 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2674228 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 5.5887032467579.\nAnswer: -9.5887032467579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 186*y - 443. Give u(-98).\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12524975 >= 12524995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2250796, 4501596, 6752396, 9003196?\n\"Answer: 2250800*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:23 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.5003, -1\/5.\nAnswer: -1\/5, 0.5003, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676*m = -730*m + 3456. What is the remainder when 3455 is divided by m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 37. What is f in -2*f**2 - 3 + 3*f**2 - f**z + 3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 147 and 1.33694.\nAnswer: 196.53018","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 10*p**3\/3 + 121*p**2\/2 - 87*p. Is j(9) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113\/80 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.27 - -28.17. What is the nearest to 2 in 32, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 8 = 0. Let t = 5 + k. Put t, -1, 2 in descending order.\nAnswer: 2, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 5. Let b(p) = -21*p**3 + 2*p + 1. What is the tens digit of b(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 587504049 divided by 17803153\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 7. Let c(d) = -5*d + 9. Give -6*c(r) - 13*l(r).\nAnswer: 4*r + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 1. Let s(w) = 33*w**2 + w - 9. Let b(l) = -l + 1. Let u(p) = x*s(p) - b(p). Differentiate u(t) with respect to t.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - -290. Let f = -119 + u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 2*y + 1. Let s(w) = 4*w**2 - 11*w - 7. Let h(p) = 5*g(p) + s(p). What is h(-6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4365890 + -170031. Let k = d - -12135921. What is k rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14142, 12956, 11770?\nAnswer: 10584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -0.2 (b) 2\/5 (c) 76 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w - 4*w - 15*w + 13*w - 15*w.\nAnswer: -45*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -7. Find the second derivative of s*g**2 + 0*g + 0*g**2 + g - 3*g**2 wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 128*z - 2. Let u be a(2). Suppose 2*m + 6*l - 261 = l, 0 = 2*m - 2*l - u. Suppose m + 793 = 3*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72902821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*z = -291, 0*m = 2*m - 5*z - 583. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 7*r + 8. Let b be n(6). Solve -3*v + 3 = b*i + 5, -4*v = -4*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363963762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27)*-6 + 475\/285.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**4 + 807*n**3 - 24765*n**2 + 188625*n - 423000 = 0.\nAnswer: 5, 24, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = 18. What is the units digit of -50*(486\/(-30) + w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313 + -310. Suppose -7*t + 8*t - 106 = 3*u, -z*u - 98 = t. Is -35 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 32. Let m be l(-7). Let f be (m + -6)*(-10)\/4. Suppose -80 = -f*n - 3*n. What is the greatest common divisor of n and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*j. Suppose g**j + 1 - g**2 - 1 + 2*g - 2*g**2 = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*b**2 + 363*b - 363*b - 6*b**2 to the form j*b**2 + q + w*b and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 16 = 1. Suppose 0 = 2*z - l*z. Suppose -5*a + 34 = 14. Solve z = -a*g + 2*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-262) - 4087990\/(-473883330)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 7*m - m. Let h = m - 12. Let y = 16 - h. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1210*q**3\/3 - 28204*q**2\/3 - 1081472*q\/15 - 906304\/5.\nAnswer: -2*(q + 6)*(55*q + 476)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2096 - -3253. Let t be -1 + (0 - -3) - 28. List the prime factors of (-1)\/(-2) - j\/t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 97*m - 1760 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2007*b - 2011*b + 7 - 1989*b + 2*b**3 + 8018*b - 2011*b.\nAnswer: 2*b**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and (-43876)\/(-68) + 180\/(-765).\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519336481?\nAnswer: 13, 151, 773987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1a4 (base 11) to base 3\nAnswer: -22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12990*d*q**4 - 42*d*q**2 + 3*q**2 + q - 2 wrt q.\nAnswer: 311760*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7416 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1444 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) -62 (c) 8 (d) -5 (e) 2\/31 (f) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -165*u + 35 + 1285 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:26 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -118. Suppose 0*n = -4*n + 16. Put p, n, -1, 0 in increasing order.\nAnswer: p, -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.479525 and 3.\nAnswer: -1.438575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4)\/((-20)\/3440). What is the first derivative of 50*g**2 + 5*g - 95*g**2 + 21 + j*g**2 wrt g?\nAnswer: -4*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 277978037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 divided by 12?\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28512 and 9900?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 1. Let d be (p + (1 - 1))\/5. Let x be 5\/(-3)*-1 - 1. Which is the second smallest value? (a) d (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19828590 by 1618.\nAnswer: -12255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4323 (base 7) to base 14\nAnswer: 7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188226 by -6.\nAnswer: 31371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241851.\nAnswer: 3, 19, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(0*a - a + 2*a)*(-4*a + 4*a - 2*a) + (-2 + 4 - 1)*(3 - 2 - 4)*(-34*a**2 + 1548*a - 1548*a) to the form p*a**2 + h*a + l and give p.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/((-1)\/(-2)). Suppose -m = 4*b - 0*m - 44, -5*b + 55 = q*m. Suppose -307 = -6*s + 287. What is the greatest common factor of s and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8332287*n**2 - 7727*n - 861 wrt n.\nAnswer: -16664574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3066*i**2 - 19*i - 67. Let g be v(24). Suppose -6*c + g = -106507. Round c to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*o + 7, 9 + 15 = 3*r + 3*o. Factor 76*x**2 + 3*x**4 - 91*x**2 + 9*x - 4*x**r + 4*x**3 + 3*x**3.\nAnswer: 3*x*(x - 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/904 and -17\/12543?\nAnswer: 100344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -3*c**8\/28 + 14*c**6\/15 + c**5\/20 - 1354*c**4\/3 + 4711*c. Find the third derivative of j(q) wrt q.\nAnswer: -720*q**3 + 672*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172429\/14 - -12322. What is the common denominator of p and 51\/2*9\/1350?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 12*q + 28. Suppose -c - 244*h = -241*h + 25, -5*c - 4*h = 59. What is z(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140*d = 491*d + 455*d - 11058 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g - 70. Calculate o(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 + 1 = -3*o, 4*c + 9 = 3*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, z: 2, e: 2, c: 6, r: 1}. Give prob of picking 1 e and 1 c.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -13688.\nAnswer: 13688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*i**2*w*x**3 + i**2*w*x**2 + 16*i**2*w*x wrt x.\nAnswer: 462*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b86311 - 12?\nAnswer: -b86323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 8*z**2 - 9*z + 9. What is the units digit of c(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -257244*m**2. Let j(a) = -5*a. Calculate j(q(y)).\nAnswer: 1286220*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 12 = 0, 4*p = -4*n + 6 + 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -344650, -344648, -344646?\n\"Answer: 2*d - 344652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114 + -13021420?\nAnswer: -13021304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -545 by -4.\nAnswer: 545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57206 and 4.5?\nAnswer: 57201.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -26*c**2 - c + 114027. Let k(g) = -g. Give m(k(q)).\nAnswer: -26*q**2 + q + 114027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 31062106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 12*z - 25. Determine r(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.43 + -11.83. Let z = -131.6 + j. Let q = z + 141. Which is the third smallest value? (a) q (b) 2 (c) -0.2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*b - 3 = 0, 2*b = c + 3 - 1. Suppose c*x - 4*x = -48. What is the greatest common factor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*4*(1 + (-1 + sqrt(1008) + 1 - sqrt(1008)) + 3))**2*1.\nAnswer: -32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -7 - (-5 - (-5 + -16)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 963730.6 millilitres?\nAnswer: 963.7306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of ((-13 - 6) + 357791\/14)*12\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - 5123013?\nAnswer: -5123043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*p + 53*p - 1008*p)*(3 - 4 - 2).\nAnswer: 3174*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d. Let x be -4 + (-291)\/(-9) + (-2)\/(-3). Let y(c) = 10*c + 9*c + 11*c - x*c. Give y(w(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1)*w**(2\/7))**(3\/8) assuming w is positive.\nAnswer: w**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -42, -92, -162, -252?\n\"Answer: -10*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 83*i**2 + 2*i - 4. Let j be y(4). Let t = j + 65. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -59 - (11 - -38)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((35\/(-10))\/(-7) + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/110 and 71\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 23322440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 19*c + 6. Let f be m(-20). Let v be f\/6 - 12\/4*-1. Factor 1\/3*l**2 + l + v.\nAnswer: (l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918.6091 rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(8\/9)\/r)\/r**(-5)*((r\/((r\/(r**(-2\/13)*r))\/r))\/r)\/r*((r\/(r\/(r**(1\/6)\/r*r)))\/r*r)\/r)**(-21) assuming r is positive.\nAnswer: r**(-6391\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(567) - (sqrt(567) + 0 - sqrt(567))) + -5)*6 + -2*((sqrt(567) - (-4 + -1 + sqrt(567) + sqrt(567))) + sqrt(567)))*-1)**2.\nAnswer: -4212*sqrt(7) + 21933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l**(-1\/3))\/(l\/l**(-2\/11)*l**(-2\/13)))\/(l\/l**(-5)*l**(2\/3))**(-17) assuming l is positive.\nAnswer: l**(16441\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4018 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {f: 1, a: 4, n: 1, q: 4, t: 2, j: 8}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9300.534 tonnes in milligrams?\nAnswer: 9300534000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 853079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 8. Let l(s) = -8*s**3 + s**2 + s + 2. Let h be l(-2). Let t = h - 68. What is b(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, b: 6, k: 2}. Give prob of sequence buuk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*w**3 - 79*w**2 - 226*w - 8279238 wrt w.\nAnswer: 18*w**2 - 158*w - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -49812017.\nAnswer: -149436051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 u, and 1 x when four letters picked without replacement from iuxxuuuuiiiuuuux?\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = y - 0*y + 10, y + 5*w = 11. Let n be 22 + (-5)\/(10\/y). Calculate the greatest common divisor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 299, 295?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88915.1ml?\nAnswer: 88.9151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164154, 164173, 164194, 164217, 164242, 164269?\nAnswer: 164298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - -2. Let t = -1.3 + s. Which is greater: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let l(r) = -8*r + 1. Let y(c) = l(c) - 4*v(c). Determine y(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 208\/(-28)*(3 + (-13)\/2). What is the greatest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 931101 and 2235.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.1. Let l = 48 - 60.6. Let h = -13 - l. Which is the closest to 0? (a) h (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5480 from -1.\nAnswer: -5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:19 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**3 + 5*l**2 - 8*l + 4. Let y(j) = 8*j**3 + 7*j**2 - 7*j + 2. Let q(d) = -5*p(d) + 4*y(d). Factor q(u).\nAnswer: -3*(u - 2)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28632 - 18731. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avmwmttvaymtvvw. Give prob of picking 2 v and 1 y.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1485 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*1*sqrt(325))**2.\nAnswer: 10400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/4 - t**3 - 5*t**2 + 3. Let l be b(5). Solve 0 = -h + 3 - l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/54 - 5985\/1215) + 6979?\nAnswer: 2, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Suppose l*m + 22 = 5*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 119.969. Let t = -0.03165 + z. What is t rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three quarters of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g - 141 + 281 - 141 to u + h*g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 49031328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10065, -40230, -90501, -160878, -251361?\n\"Answer: -10053*t**2 - 6*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279343 divided by -392.\nAnswer: 279343\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 183 (base 13) to base 16\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124216 - -4095838\/33. Let t = s - -774\/11. Let q = t - -30. Which is the nearest to q? (a) 0.2 (b) 3\/4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + 1816 - m**2 - 230 - 396 - m**2 - 138 to v + b*m + s*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/(-54)*6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*q*t**5 + q*t**2 + 1173*q - 3*t**6 wrt t.\nAnswer: -10140*q*t**2 - 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 18.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 3*m**2 - 3*m + 2. Let k be r(4). Let b be (16\/k)\/((-4)\/18). Let o = b - -32. Solve -5*x - 5 = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3 + 733465*f**2 - 27802*f + 3 wrt f?\nAnswer: 6*f + 1466930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 146 = 4*b, 2*b + 282 = 6*d - b. Let n be (-9)\/(45\/d) - -6. Sort -2\/7, 2, n, -3 in ascending order.\nAnswer: n, -3, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d + 3*d**2 + 0 + 0*d**5 + 1\/12*d**4 + 0*d**6 + 1\/70*d**7 + 0*d**3. Find the second derivative of g(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(18)\/sqrt(6)) + (sqrt(28) - sqrt(7)) + sqrt(7) + 5 + (0 + sqrt(28)\/sqrt(4) - (sqrt(7) + -1 + sqrt(847))) + 2)**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s)**(-1\/8)\/(s**(-4\/5)*s*s\/s**14) assuming s is positive.\nAnswer: s**(281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 417, 394, 351, 282, 181, 42, -141?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*x = 6, 0 = 4*h - 2*h - 2*x - 12. Let q be 1\/(0 + h - 3). Calculate the remainder when -8*(q - (-22)\/(-4)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7573 is divided by 1513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30232.02 and 23.\nAnswer: 30255.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 2*b**2 - 13*b**3 - 3*b**2 as c*b + r*b**2 + l + n*b**3 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -1\/6 (c) 3\/4 (d) -1 (e) -2\/7 (f) 5576 (g) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26607412141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.076152 * -70.\nAnswer: 5.33064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72108410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*d - 23*d + 88 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/2167499 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 2) + 2 + -1. Suppose -2*d = -a, -2 = l*d - 8. Suppose -5*q + a*h = -2*q - 53, 0 = q + 5*h - 5. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -416.9675525 to 2 dps.\nAnswer: -416.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31826739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 5*y + 8. Let n(z) = 3*z**3 + z - 2. Let i(j) = 20*j**3 + 2*j - 6. Let c(g) = -2*i(g) + 12*n(g). Determine -5*c(q) - 8*t(q).\nAnswer: -4*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1039802 and 93052.\nAnswer: 89422972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9 - 4*l**2 + 3*l**2 - 41*l + 8. Is o(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*y + 17, -2*f - 4*y + 118 = 0. What is the remainder when f is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 27*c**4\/4 - 13*c**2 - 23. What is the second derivative of y(h) wrt h?\nAnswer: 162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2546 - 2486. Calculate the smallest common multiple of 54 and y.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11318000 rounded to the nearest one hundred thousand?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (4 - (-11 - (-34 - (3 + -10)))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 11. Determine y(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3658 is divided by 911.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:06 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2, 1 in decreasing order.\nAnswer: 34, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 392479721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.5 + 46144335.\nAnswer: 46144361.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/31 and -89\/2356.\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 9 - 269. Let v(z) = -z**3 + 13*z**2 + 19*z + 14. Let r be v(14). Let o = r - f. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20165.242+6\nAnswer: -20159.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 893 = 96*j + 142 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522803, -522716, -522629, -522542, -522455?\nAnswer: -522368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-3) + -8 + (-350)\/(-42). Suppose -j = 3*m - 129, -m + 4*m + 447 = x*j. Calculate the lowest common multiple of 2 and j.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -744 - -739. Let b = 0.2 - -0.3. What is the smallest value in -0.1, x, b, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -779470 (base 11) to base 9.\nAnswer: -2303206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25146542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 3, 1, -6366.\nAnswer: -6366, 1, 3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.05824607.\nAnswer: -0.17473821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 12. Suppose 3*q - 3*c = f, 0 = 3*q + c - 6*c - 4. Let u = 0.5 - 0. What is the biggest value in -2\/11, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654*u + 0*l - 4*l = 1651*u - 103, 2*u + 5*l + 38 = 0 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -57, 4, -212, 1 in ascending order.\nAnswer: -212, -57, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2916352 and 84372.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75425 divided by 6?\nAnswer: 75425\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 10 + 7 + (1 - 31).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + sqrt(1377) + -1 - sqrt(1377))*-1 + 2*sqrt(1377)*5 - (2*sqrt(85)*1)\/(sqrt(10)\/sqrt(2)*-1)) + 2)**2.\nAnswer: 498*sqrt(17) + 117122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332 + -336. Let r(o) = -10*o**3 + 2*o**2 + 21*o - 1. What are the prime factors of r(f)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10623, 21246, 31869?\n\"Answer: 10623*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + 0.23. Which is the second biggest value? (a) -2 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**3)\/(f\/(f*f\/f**(-7))*f)*(f\/(f\/(f*f**(-3)))*f*f)**(-40) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 38*o - 261. Let m be w(-9). What is the closest to m in -4, 5.2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 0*k - 3*k + 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36841 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97680 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*o + 19416 - 38736 = 0 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-360 - -486) + (-1 - -21) + (3 - 9)?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let y be -2 + 0 + (-54)\/4. Let c = y + 17. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:14 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*i + 9 = -206*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0 + 0)*(-6*y + y + 3*y) + 0*y**2 - 5*y**2 - 6*y**2 + 0*y**2 + 0*y**2 + y**2 to the form x*y + a*y**2 + t and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 15 = 7*l. Solve -r - l*r - 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -584 + 3296. What are the prime factors of r?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.3 = 20\/1321531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 558648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j - 20 = 0. What is the smallest common multiple of 4 and -2 + (j - 1 - -50)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -54 + 48 + (-9)\/(-30)*-86. Is -32 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -141*p + 557. What is t(5)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -13. Suppose 9 = 4*s - g*j - 18, -j = 4*s - 23. Suppose -4*v + v = -12. Solve 2*w - h = s, -w - v*h = -0*h + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*f - 430, 3*f - l - 78 = 2*f. Let s = f - 23. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtevetvadvdtttvtve. Give prob of sequence da.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36800761*s - 38617426.\nAnswer: -36800761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(120)*3 - sqrt(120)) + (sqrt(120) + (sqrt(120)*1 - sqrt(120)) + sqrt(120))*-4)\/(sqrt(90)\/(sqrt(36)\/sqrt(4))*-1*-1).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, d: 1, e: 3, h: 5}. What is prob of sequence hhhh?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 11*r - 11. Let x be o(10). Let d(c) = c - 3. Let f be d(5). Let z = f - x. Solve 0 = z*h - h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -6*s**3 + 62*s + 53. What is the first derivative of k(m) wrt m?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/25 (b) 11 (c) 15\/14 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110687 - 110675. Suppose 2*c - 3*m - m - 1308 = 0, -m = -3*c + 1942. Calculate the remainder when c is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 95532.\nAnswer: 95532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 1565259933.\nAnswer: 1565259936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/60 - o**4\/24 + o**3\/6 + 599*o**2 + o - 2. Let d(n) = -5*n**2 - 6*n - 8. Calculate d(q) + 6*x(q).\nAnswer: q**2 - 12*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4aa + -4?\nAnswer: -4ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626226651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 2\/6*-3. Let s(p) = 6*p**2 - 5*p + 3. Let u(z) = 5*z**2 - 4*z + 2. Give c*u(d) + 4*s(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let a(k) = 45*k - 3. What is i(a(w))?\nAnswer: -2025*w**2 + 270*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 870 and 11850.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)*d)\/d**(-9))**(-49\/3)\/((d\/((d*d*d**4*d*d)\/d)*d\/((d*d**(-1\/2)*d)\/d))\/(d**1\/(d\/(d**(-6)*d)))) assuming d is positive.\nAnswer: d**(-487\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/14)\/l*l)\/(l*l**(30\/7))*((l*((l*l*l**(-14)\/l)\/l)\/l*l)\/l*l)**25 assuming l is positive.\nAnswer: l**(-4621\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 z, and 1 i when four letters picked without replacement from rzxzxzzzizrz?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59 + 0*y + 5*y - 6*y + 4 - 4 - y + (5 + 0 - 3)*(0*y - 4*y + 5*y) - y + 3*y + 0*y.\nAnswer: 2*y - 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (9 + (-1 - -9) + -23) - -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 * 47.\nAnswer: -37.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, i: 4}. Give prob of picking 2 p.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4 + -3)*-2*(-12)\/(-324)*-69 and -50\/93.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 >= -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3258.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506820233?\nAnswer: 506820233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261172, 259898, 258624, 257350, 256076?\nAnswer: 254802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 4*h**2 - 4*h + 2. Calculate x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24977843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 + 11 - 4) + (54 - 41)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34571?\nAnswer: 181, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22111212 (base 4) to base 3.\nAnswer: 2011002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7650 + -7658. Let t = -9 - -8. Sort -5, k, t, 1 in increasing order.\nAnswer: k, -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4814212*q + 2 + q**3 - 4814243*q + 2 - 4.\nAnswer: q**3 - 31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*h + 12, -w + 2*w - 6 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 47. Suppose 3*i - o = 133. Let v = i + -25. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 13) to base 5\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4*w = 0, 283*g = 1209*g + 812*g - w + w - 3*w - 1741 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 7.25314?\nAnswer: 7.55314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77858.\nAnswer: 2, 11, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.865 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 29\/12*s**4 + 5\/6*s**3 + 0 - 10*s - 5\/2*s**2. Is o(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - (sqrt(153) - 3*sqrt(153)*2)) - sqrt(153))\/(sqrt(36) + (sqrt(36) + sqrt(144) + sqrt(36) - sqrt(36) - sqrt(36))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17519, -70571, -158991, -282779, -441935?\n\"Answer: -17684*x**2 + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9065090682?\nAnswer: 2, 3, 503616149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 926.994296 - 927. What is r rounded to four dps?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7155f4 (base 16) to base 13.\nAnswer: 1700a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 20, 1, 24 in descending order.\nAnswer: 24, 20, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 67*r**2 - 1525549 + 2*r + 1525544 to the form u + a*r + l*r**2 and give l.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 566 and 14?\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5493, 54880, 137187, 252408, 400537?\nAnswer: 581568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064072871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40943*p = -40924*p - 266 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*r**5 + 33*r**4 - 9*r**2 + 54 wrt r.\nAnswer: 3360*r**2 + 792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 10*d**2 - d - 12. Suppose 105 = -v + 95. Determine t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8522 = q + 2*h, 0 = 3*q + 3*h - 6414. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)*j)**(-16)*j**(4\/5)\/(j*j*j*(j*j**7)\/j*j) assuming j is positive.\nAnswer: j**(-1019\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 0.4 (b) 3\/8 (c) -1\/4 (d) -23 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 18*n. Let b(a) = -4*a. Let r(y) = 9*b(y) + 2*g(y). Let w(k) be the second derivative of 5*k**4\/12 + 5*k**2\/2 + 51*k. Give r(w(d)).\nAnswer: 50*d**4 + 100*d**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009305042 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4417.643003 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - 5*t**3 - 1 + 9*t**3 - 1 + 3 to the form l*t**3 + f*t**2 + d + a*t and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 105. Let s be (-14)\/f*2\/4. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 5*l**2 + 3*l. Let w be n(2). Suppose 3*j + 6 - 18 = 0. Suppose -x - j*x = -10. Solve w*r = -0*r - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51280400 is divided by 1729?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64908950?\nAnswer: 2, 5, 709, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 8. Let n be w(5). Let r = -8 + n. Suppose r*g - 101 = -o, -5*g = 4*o - 152 + 34. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7462 = -2*w + 3*b + 7465, 16 = 5*w + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781367 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-124)\/16) + 2\/8. Let q(p) = -7 - 8*p - 10*p + 35*p - p**2 - 8*p. Determine q(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o*o**(-1\/3)))))\/(o*((o**5\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 - 7. Is u(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365852 divided by 1341463?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4019*i**2 - 2*i**3 - 63 - 4019*i**2)*(-4 + 1 + 4) as o + w*i + t*i**2 + x*i**3 and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17847 is divided by 992?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -658 + 13*o**2 + 658 to a + u*o**2 + i*o and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*i + 60, -10*i + 10 = -5*i. Sort 3\/14, 4, g.\nAnswer: g, 3\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-62)\/(-279))\/(56\/20094414). Let s = 79736 - v. What is the common denominator of s and 8\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472966.\nAnswer: 2, 13, 18191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-4)*(-1)\/1. Differentiate 0 + q - q + 3*q - r wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 382*w\/3 - 1496\/3.\nAnswer: -2*(w + 4)*(w + 187)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -772266 and -772258 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/55 - 2\/10)\/(-1). Suppose -3*u + 3 + c = 0, v - u = 4. Suppose i + 2*i - h = 6, -3*i + 6 = v*h. Solve i*l - 7*l + 24 = a, 0 = 5*a + 3*l - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3229205*h**3 + 73*h - 56673.\nAnswer: -19375230*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27160212727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.52 - 0.02. Let r = z + -0.1. Which is the third smallest value? (a) 0 (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v - 904 = 0. Suppose 709 = 3*d + v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-4\/9))*w**(-3\/7)*w*(w*w*w**8)\/((w\/(w**(5\/9)\/w))\/w) assuming w is positive.\nAnswer: w**(610\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 1, r: 11, c: 1, j: 1}. Give prob of sequence vrbc.\nAnswer: 11\/32760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 2. Suppose 5*j + q*f - 898 = 0, 2*f + 181 = j + f. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -42. Are c and 3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:04 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.3 (c) -0.4 (d) 3 (e) 35\/11 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84518707.\nAnswer: 7, 13, 19, 48883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.246 and 1103625300?\nAnswer: 1103625300.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.258578 milligrams?\nAnswer: 0.000001258578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 - -25. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -7 - 35) + (-1 - (-12 - -7)) + 78\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/(9\/(-12)). Suppose -g*y - 2*n + 19 = -y, 119 = 5*y - 2*n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -146 in 0.3, -0.25, -0.4, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from cbbcccncn.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 24*h - 15. Suppose -6 = 2*t - 34. What is the lowest common multiple of p(-23) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -613*j + 8. Suppose -17*p - 15 = -12*p. Is s(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30730, 61461, 92190, 122917, 153642?\nAnswer: 184365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 242 = 70. Let q = -102 + g. Suppose 0 = -6*c - 7 + 121. Calculate the remainder when q is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14414.71541 rounded to the nearest ten?\nAnswer: 14410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -217636\/1999 and -108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 9911254*i**2 - 12279114525936*i - 12279124437192.\nAnswer: -2*(i - 2477814)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 5321986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21652, -21705, -21782, -21883?\n\"Answer: -12*p**2 - 17*p - 21623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-27)*12\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -5, 27, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2631836*v**2 + 52*v - 11917 wrt v.\nAnswer: 5263672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26131? (a) -1\/169 (b) 1\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 129, 237, 407, 645, 957?\n\"Answer: c**3 + 25*c**2 + 26*c + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) -18\/7 (b) 2 (c) -3\/2 (d) 8\/41 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4284492.01196 + -4286394. Let m = h - -1086.9981. Let i = 815 + m. What is i rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 - 17*m - 39. Let c be q(-3). Solve r - 14 = -4*x, c*r = -5*x + x + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 107 + 6 = -72*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/9 + 52*z**2\/9 - 146*z\/3 - 192 = 0. What is z?\nAnswer: -32, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13161 + 2068. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-217)\/(-1674)*285\/(-1330).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:11 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 179*s**3 - 8*s**2 - 23*s + 100. Does 6 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 0 - 1\/6*q**4 + 0*q**3 + 2\/15*q**5 + 0*q + 7*q**2. Find the second derivative of l(u) wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.2, -1074, -3\/4 in increasing order.\nAnswer: -1074, -3\/4, -0.2, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734258904.\nAnswer: 2, 3, 30594121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -5\/2, 1.2, -2, -0.05?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0 - 1\/70*r**7 - 1\/20*r**5 + 2*r**2 + 0*r + 0*r**4 + 0*r**3 + 0*r**6. What is the third derivative of w(p) wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149*-0.210551\nAnswer: -31.372099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1371024579?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from {k: 3, a: 4, e: 6}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22 and 24.59922693164.\nAnswer: 46.59922693164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5874922 years in centuries?\nAnswer: 0.005874922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-107)\/642)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {s: 1, k: 2, p: 1, t: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10742998\/97 or -110752?\nAnswer: -10742998\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -95, -229, -431, -707, -1063, -1505, -2039?\n\"Answer: -i**3 - 25*i**2 + 10*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 + s - 7. Let b(l) be the second derivative of l**5\/20 - l**2\/2 + 19*l. Let p(y) = 6*b(y) - i(y). What is p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0530700509 - 3904.6?\nAnswer: -3904.6530700509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-234)\/45)*10\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 12) in base 4?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540411 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15269344 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 + 21*j**4 + 61*j**3 - 1721*j**2 - 8160*j - 6400 = 0. What is j?\nAnswer: -5, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1416 = 5*j, -2*t = 2*j + t - 580. Let b be (2\/(-2))\/((-4)\/j). Suppose 29 = 5*c - b. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 27543*g + 87984694.\nAnswer: -(g - 30434)*(g + 2891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 31?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1070.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 14*z + 6 + 4 - 9.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21608*k**2*y - 49*k**2 + 138 wrt y?\nAnswer: -21608*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 40567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -173*l**8\/336 + 9*l**4\/8 - l**3\/2 - 177*l**2. What is the second derivative of n(j) wrt j?\nAnswer: -3460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from yaasaayyyyasyaayaaaa?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**3 + 3*b**2 - 4*b - 2. Let k(j) = 18*j**3 + 8*j**2 - 11*j - 5. Let n(d) = -8*f(d) + 3*k(d). Let o = -17018 - -17019. Determine n(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 13*y - 16 = 0, -3*y = 2*b - 334. Sort b, -5, -4.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y. Suppose -4*u - n = -3*u - 28, y = 2*u + 5*n - 50. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*v + 91*v + 75 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3565154 to the nearest integer?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 58*c + 8. Is z(-29) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14115*y - 24337*y - 971090 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 (base 9) in base 3?\nAnswer: 120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47175.8 years in decades?\nAnswer: 4717.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 times -82?\nAnswer: -5986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -24*l**2 + 4*l - 1. Let i be g(1). Let k(z) = -z - 5. What is the remainder when 412 is divided by k(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 2, j: 1, d: 1}. What is prob of picking 1 j and 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2555.96169 to the nearest ten.\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190 - 87. Suppose -2*v + 2*t = 0, 3*v + 2*t = 4*v + 5. Suppose 5*j = m + 135, -5*j - v*m + 134 = 29. Calculate the remainder when b is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2276522925778084*u**2 + 381703376*u - 16 = 0?\nAnswer: 2\/23856461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/24)\/((-17689)\/(-5054)).\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Suppose -4*j + 8*j - 100 = b. Let y = -14 + j. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.329 times 14817?\nAnswer: 4874.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -345 divided by 3\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6 - 9*a + 7 - 10 - 9. Suppose 0 = -24*u + 19*u - 50. What is the units digit of z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + f**5 + 10*f**3 - 2*f**3 - 5*f**5 - 10*f**4 - 6 - 2 + 22*f**2 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**3 - w**2 + 2. Let m be g(1). Let o = -1 + 6. Solve 5*l + 0*l - p - o = 0, -m*p = -2*l - 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 20, 0*z + 5*z = 3*o + 5. Let v be (-1)\/(0 + 1\/(-10)). Let c = 34 + -19. Solve c = -o*b - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/((-44)\/(-24))*(2 + -1). Suppose 4*v - 23 = -g, 4*g + a = -v - 7. Calculate the remainder when 18 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (381 + 6)*(-264)\/2376.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1863.8 + 6.1?\nAnswer: -1857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -239257676 divided by -59814419?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*y + 15*y + 42*y**2 + 17*y + 28 + 16*y as t*y**2 + g + f*y and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 17636 = -37*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000819975 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1497.1 + 1497.2. Are l and -11530\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1786*p**2 + 890*p**2 + 890*p**2. Let m(x) = 53*x**2 - 1. Give m(v(b)).\nAnswer: 1908*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 6*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. What is the units digit of 0 - (-18)\/(l - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 12 - 3 + 21 to the form c*u + o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/88 and 7\/2046048.\nAnswer: 22506528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 266.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 33444*z - 468412.\nAnswer: (z - 33458)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 - 26 + 56 + l**4 - 3*l**2 - 23 to the form i*l**3 + a*l**4 + r*l**2 + y + q*l and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/22669 (b) 2\/5 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 3, v: 1, u: 2, a: 7}. What is prob of picking 1 d and 1 u?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46824143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234864 + 0*x + 46*x**2 + 234864 + 0*x.\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -0.2 (c) -6\/11 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/35 + 2\/10. Suppose 0 = -0*r + 3*r + 6. Sort r, x, 2 in descending order.\nAnswer: 2, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*b - 5*p + 15, -4*p = 3*b + 5. Let j(c) = 3. Let t(v) = v. Let k(l) = -2*j(l) + 2*t(l). Calculate k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850 = 165*d + 800 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1054 - -1045. Let d(h) = -5*h**2 - 4*h + 2. Suppose 2*f - 4 = 3*m - 0*m, 4*f + 4*m = -32. Let n(j) = 11*j**2 + 9*j - 4. Give f*n(i) + u*d(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 8*h**3 - 2*h**2 + 4*h**3 - h**3 + 2*h in the form v*h**2 + w*h + j*h**3 + s and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, j: 10, m: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - (-2 + 3\/3). Let o(d) = -4*d + 9. Let z(u) = 3*u - 8. Let v(y) = 4*o(y) + 5*z(y). Let s be v(-6). Solve -c = 2*i + 1, -2*c + r = -s*i - 5*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/(-25) - 3)\/(2\/(-10)). Let n be 1*2\/(-3) + 35\/y. Find the first derivative of 5 + 7 - 17*d**3 + n wrt d.\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -821915*0.71\nAnswer: -583559.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7*n - 252 = 0. Differentiate 0*q**2 + n*q**3 + 6*q**2 - 5 - 9*q**2 + 2*q**2 with respect to q.\nAnswer: 63*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 3*c - 4. Let r(j) = j**2 - 56*j - 241. Let n be r(60). Let l(y) = -y + 1. Calculate n*l(f) - s(f).\nAnswer: f**2 + 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 132*p + 1120 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -66767889+-13.3\nAnswer: -66767902.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, 0, -3\/4, 63?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*y - h, -3*y + h + 2 = 2*h. Solve 0*b - 4*b - 4 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 701529929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3268434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 27*d**2 - 30*d - 14. Let g be a(23). What is g rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -842 + 848. Solve -36*y - z = -42*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 4*j**2 + 3*j + 2. Let d be n(3). Suppose -d*p = 3*p - 25. Let o(y) = -2 - 6*y + p*y - 4*y - y**2 + 0*y. Calculate o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68831*d - 68858*d + 89 - 332 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1076927*a**2. Let g(j) = -2*j. Calculate g(p(f)).\nAnswer: 2153854*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -672*w**2. Let c(i) = -307*i. Calculate h(c(n)).\nAnswer: -63335328*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + (28\/6 - 3). Suppose -210 - 190 - 111*g + 31*g - 4*g**2 + 0*g**m = 0. Calculate g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - w**4 + w**4)*(12 + 5 - 7)*(28*w - 3*w - 4*w) + (0*w**2 - 2*w**2 + w**2)*(0 + 0 + w**3).\nAnswer: 209*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -5 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**8\/168 - q**7\/105 + q**6\/30 + q**5\/15 - q**4\/12 - q**3\/3 - 2*q**2. Suppose t(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131627\/9 - 14625. Let 0 - 2\/3*o**3 + 2\/9*o + 10\/9*o**4 - b*o**2 - 4\/9*o**5 = 0. What is o?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -8) + 15 + -5 - 0.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -54\/7. Let b(z) = z**2 + 5*z. Let g be b(-4). Let k = g + 3. Does j = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042 = 13*v + 132. What is the least common multiple of v and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 - (-130)\/(-11). Let a = x - -18. Suppose -n = -a*n + 5. Put 2, -3, n in descending order.\nAnswer: 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from llmlblho?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1439*j**4 + 2730*j**3 + j**2 + 12598735*j wrt j?\nAnswer: -17268*j**2 + 16380*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 0, -2*w + 5*w + 2*w - 15 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 3*r**3 - 4*r**2 - 3*r**2 + 3 - 4*r**3. Let p be i(-6). Let d = -48455 - -48455. Solve -12 = -d*g + p*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 917620 divided by 9460\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*y - 16 = 2*y, 2*y = -10. Suppose g*q + q = 0. Is q at least -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 0 - (5 + (-18 - -15 - 10) - -15)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/((c*(c\/(c**14*c*c)*c)\/c)\/c))**(-1\/23) assuming c is positive.\nAnswer: c**(-107\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 2. Let p be k(-2). Calculate the least common multiple of 20 and (-46)\/(-4) - 2\/p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -14. Suppose -110 = -3*d - 4*b, -d - 3*d + 149 = 3*b. Calculate the remainder when d is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m*m\/(m*m\/(m\/(((m\/(m*m\/(m**(1\/4)\/m)))\/m)\/m*m))))\/m)\/m**(-12)*m**(-1)*m*m*m**(6\/5))**(8\/5) assuming m is positive.\nAnswer: m**(758\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1734645, 1734636, 1734619, 1734594, 1734561?\n\"Answer: -4*b**2 + 3*b + 1734646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22154 = -403*j + 10870 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-10)\/172) + -2. Let b = t - -165. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5758*-2.\nAnswer: 11516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 266162 a multiple of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*s - 32 = 0, 4*o + 3 + 5 = -2*s. What is the third smallest value in o, 2, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/95998298 and -21\/2526271?\nAnswer: 95998298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 140\/(-105)*90\/(-4). Let i = 647 + -377. What is the greatest common divisor of i and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 194 = 99*n + 191 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23991714 a multiple of 822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15447227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -645\/8 + 643\/8. Which is the third biggest value? (a) -27 (b) -0.4 (c) -1\/8 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(4)*-4 + sqrt(192)\/sqrt(12))\/(6*3*sqrt(4)\/sqrt(2)).\nAnswer: -sqrt(2)\/9 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {h: 6, k: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 9*i**2 + 2*i - 12. Determine z(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.8 from -1327.\nAnswer: -1317.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342245.\nAnswer: 5, 68449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 84. Let z = -1 + -2. Let f(d) = d**3 + 4*d**2 - d - 2. What is the remainder when p is divided by f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -7*q**6\/120 - q**5\/12 - 3*q**4\/8 + 11*q**3\/6 + q**2 + 2. Let m(p) = 3*p**3 + 2*p**2 + 4*p - 5. What is -5*m(r) - 2*v(r)?\nAnswer: -r**3 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 286847105 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: What is 51.31908km in micrometers?\nAnswer: 51319080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g - 1. Let q be h(-1). Solve k = -2*k - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/14*112\/(-140)*1*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*s - 653, -h = s + s + 141. Let d = 153 + h. What is the units digit of ((-5)\/(d\/9))\/(2\/(-200))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32724 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 872 or 99577\/114?\nAnswer: 872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40875 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/49 or 1?\nAnswer: -19\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -67. Which is the third biggest value? (a) 2\/13 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*c + 7 = 0, 148*a - 145*a + 2*c = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 3*w - 4. Let o be g(5). Let d(f) = f**3 - 5*f**2 - 4*f + 4. Let m be d(o). What is the units digit of m + (0 + -1)*0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a6 + baa6?\nAnswer: b600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 x when three letters picked without replacement from {x: 1, u: 14}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 214169153 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 10. Let z = p - -9. Is (-1443)\/(-11) - 4\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m + 10. Suppose -j = m*c - 3, 3*j + 2*c - 2 = 7. Suppose j*g - 8 = -5*l + 3, l = g - 9. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + a + a - 22 = 0, -a - 21 = -2*v. Let n(h) = h**2 - h + 3. Let x be n(-3). Solve -v*w + x = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*j - 44. Let l = -23 - j. Calculate the highest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5861 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkkkkkv?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.045291.\nAnswer: 0.135873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - (-6)\/4. Is (j + (-38)\/8)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from {d: 6, m: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r - 4*a, -3*r = 2*a - 5 - 0. What is the remainder when 60 is divided by 25 - r\/((-9)\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 y when three letters picked without replacement from {a: 3, y: 6, u: 2, t: 2, e: 4}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(198)\/sqrt(2) + 1 + sqrt(704).\nAnswer: 1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/30 - (-17)\/5. What is the third derivative of -8*y**4 + 2*y**4 + 7*y**j + 17*y**2 - 29*y**3 - 3*y - 38*y**3 wrt y?\nAnswer: 24*y - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + 13 + -2 + -1 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67579.29+-2402408\nAnswer: -2469987.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.2 + -6.1. Are 3 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - d7de?\nAnswer: -d806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1367*r + 102397. Give v(75).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 525956051 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 216, 297, 304, 207, -24, -419, -1008?\n\"Answer: -5*v**3 - 7*v**2 + 137*v + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16.18, -39\/289, 1?\nAnswer: -39\/289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 9. Let a(p) = -p - 10. Let k be a(j). Suppose 0 = k*s + 70 - 262. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.738 (b) -1.9 (c) -0.4 (d) -36 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/41 (c) 0 (d) 97\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/5 - 5918\/(-2464)*7)*(3 - 1)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6943529 to the nearest integer?\nAnswer: 2635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**3 + 11*k**2 + 4*k - 11. Let y(w) be the second derivative of -3*w**5\/20 - w**4\/2 - w**3\/3 + 3*w**2 + 7*w. What is 6*n(h) + 11*y(h)?\nAnswer: -3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 4*a**2 + 3*a - 31. Let u(j) = 7*j**3 + 7*j**2 + 5*j - 63. Let w(f) = 5*q(f) - 3*u(f). Calculate the remainder when w(0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - g - 11. Let a be o(0). Let q be 5\/2*(-5 - a). What is the greatest common factor of q and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6385764 plus 2.109702?\nAnswer: -6385761.890298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 360957322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 44743.\nAnswer: 5\/44743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/63, -77288, 0 in descending order.\nAnswer: 1\/63, 0, -77288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and -0.132?\nAnswer: -0.3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 12, 0.1, 2\/71, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**45\/(c*c\/((c*c**(-2)\/c*c)\/c))**(-39)*(((c*c*c*c*c**(-1\/16)*c*c)\/c)\/c)\/(c*c**(-1\/3))*(c**(-5)*c)\/c*(c\/c**7)\/c assuming c is positive.\nAnswer: c**(45163\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 - 4)*(-3 + 2 - 1) - 10 + 13 - 19)*(-3*m + 0*m + 2*m) + m - 3*m + 4*m in the form t*m + h and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/(-232))\/(9\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-30))**(-7\/6)*p**(5\/7)\/p*(p**(-29\/5)\/p)\/p*p assuming p is positive.\nAnswer: p**(977\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*d + 15 = 0, g = 234*d - 229*d + 11 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-1365)*9 + 688\/(-26)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/5)\/(2\/90*3). Suppose -7*h - 20 = -3*h. Let m(a) = a**2 + 5*a - 34. Let b be m(-9). Sort h, b, j in decreasing order.\nAnswer: b, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36867*r**5*x - 10*r**2 - 21*r*x - 28*x wrt r.\nAnswer: -2212020*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 1808 - 5418 - 3*b**2 + 1807 + 1803.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 2, v: 2, s: 1, b: 2}. Give prob of sequence dv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*b + 34, 51*b - 6*y = 52*b + 46. Let o(h) = -6*h - 51. Let n(m) = 5*m + 50. What is b*n(g) - 3*o(g)?\nAnswer: -2*g - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5127, -10252, -15379, -20508, -25639, -30772?\n\"Answer: -x**2 - 5122*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202668 to the power of 1\/2, to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4 = -d - i, -2*d - 4*i = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1546755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278826784 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120037 is divided by 51?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 104*b + 3. Is j(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200380 is divided by 867?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(-220)*6\/9)\/((-2409)\/(-44))*-3?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 209 = 3*g. Suppose 561 = 5*j - 3*h, -5*h - 430 + g = -3*j. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42105*l**4 - 47 - 67 - 42108*l**4 - 3*l**3 + l to v*l**2 + f*l**3 + u*l**4 + t*l + w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*2\/(-3) + -1. What is the derivative of -2 - r**j + r**3 - 3*r**3 wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -25 - (-1)\/(0 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 27*p - 2644. List the prime factors of b(95).\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*b = -62*b - 9. Let n be (-4)\/6 + (-128)\/b + 4. Calculate the highest common factor of 138 and n.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 36, 79, 140, 219, 316, 431?\n\"Answer: 9*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-386)\/(-18) - 44\/99. Suppose 0 = -y*l + 40*l - 209. Let s = -0.1 - 0. Which is the closest to s? (a) l (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1197221477 to the nearest 1000000.\nAnswer: -1197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -1 (b) -1\/4 (c) -2 (d) -178 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/13)\/(b**(-3\/5)*b*b)*(((b**(-2\/3)*b*b)\/b)\/b)\/(b\/(b\/(b*b\/(b\/(b**9*b*b))))) assuming b is positive.\nAnswer: b**(-2713\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22641408 to the power of 1\/2, to the nearest integer?\nAnswer: 4758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*(-8)\/18*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y + 1. Let f(m) = m. Calculate 5*f(c) + s(c).\nAnswer: -9*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8277 is divided by 297?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84a8 + -f?\nAnswer: -84b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 - 3.1. Let r(q) = -2*q + 3. Let u be r(3). Which is the third smallest value? (a) k (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + n = -6, 4*n + 13 = 3*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 200 - 20. Suppose -30 = -0*s - 3*s - 3*r, r = -3*s + a. Calculate the lowest common multiple of s and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 4, h: 4, s: 1}. Give prob of sequence swz.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625594633.\nAnswer: 421, 643, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v**5 - 755*v**4 + 19801*v**3\/4 + 23665*v**2\/2 - 2512*v + 128 = 0. What is v?\nAnswer: -2, 1\/10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1003 and 328571.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63*(-16)\/(-216))\/(8\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13998.\nAnswer: 2, 3, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 8. Suppose -4*i + g = -11 + 44, 3*i = 4*g - 41. Let f be c(i). Find the first derivative of 0 + 25*t - f*t + 3 wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1041 - -1036. Put f, 0.02, -0.18 in increasing order.\nAnswer: f, -0.18, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 36. What is the remainder when g(8) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530250, -1058301, -1586352, -2114403, -2642454?\nAnswer: -3170505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 6*r - 64\/5.\nAnswer: (r - 2)*(r + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -596 or -594?\nAnswer: -596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29948755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(315)*-2)\/sqrt(5))\/(-4*sqrt(81)) - (1 + -1*sqrt(7)*-1 + 4))*1)**2.\nAnswer: 400*sqrt(7)\/3 + 4300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1095 and 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/7 + 6\/21. Let r(f) = f + 7. Let a be r(-4). Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9220229223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*f**5 - 49*f**2 + 830 - 415 - 415 wrt f.\nAnswer: -9960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390807 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 5*u = 10255. Let n = u + -1256. Suppose n = -2*j + 3673. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m - 5*q - 34, -4*m - 3*q - 60 = 0. Does 12 divide 3\/(m\/88)*(-3 + -15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 3078*t**2 - 212949*t - 3567564.\nAnswer: 3*(t - 1092)*(t + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93167096 divided by 19426.\nAnswer: -4796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*n - 10, 16*z - 19*z + 15 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -829, -1249, -1667, -2083?\nAnswer: -2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4854 = -9*c + 4827 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + 2. Suppose 0 = c*i - 27*i. Solve a - 4 + 3 = i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 81. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/30 + -4 + 8 + 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1632 and -53\/19142?\nAnswer: 918816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5273 + -3426277.\nAnswer: -3426276.4727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 606248509\/61068 + 86684\/2181. Let l = a - 9966. Find the common denominator of 151\/24 - 2\/(-6) and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-16 + (9 + -3 - 7))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + j)*(1 - 1 + 2*j**2) - 10340*j + 10337*j + 4*j**2 - 3*j**2 + 10*j**3.\nAnswer: 14*j**3 + j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84659 is divided by 216?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6 * 0.1029.\nAnswer: -0.37044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24798 is divided by 3537.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 7 - 7. Which is greater: 16 or x?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 f when four letters picked without replacement from jfjjjffjjjj.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -505c + -41a?\nAnswer: -5478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t + 22 - 202 - 106 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpzaooa. Give prob of sequence az.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99351804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27845*0.0533.\nAnswer: -1484.1385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 420045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054456162 to six dps.\nAnswer: -0.005446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and 218.6.\nAnswer: 12023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 552781729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/6))\/o**(-2\/13)*o**4*o*o*o**6*(((o*o**1)\/o)**36)**(7\/9) assuming o is positive.\nAnswer: o**(3223\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 - 680 = 14*z. Is z less than or equal to -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 323398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 47. Calculate the remainder when 30 is divided by (2 - 4*-6) + f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 19*s**2 - 17*s - 18. Let v be k(18). Suppose -2*f + x - 3*x - 8 = v, 0 = -3*f + 2*x - 17. Let p(a) = a**2 + 5*a. Give p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2*l + 19709*c*l - 91*c + 8462*l + 110 wrt c?\nAnswer: -2*c*l + 19709*l - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhbv when four letters picked without replacement from vbvvvvbvvvvhhvbvbvb?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 9*b = -675. Calculate the highest common divisor of b and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5 + 210*f**4 - 10787*f**3 - 10998*f**2 = 0. What is f?\nAnswer: -1, 0, 94, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 13 = -m + 12, 323 = -m + 2*z + 342 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - sqrt(27)) + sqrt(27))*3)\/sqrt(9).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -137200000 to the nearest 1000000.\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73900 (base 10) in base 8?\nAnswer: 220254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 29602446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1740 (b) 15 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bai when three letters picked without replacement from bbizai?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z + 8. Let q(s) = -2*s - 2. Let t(x) = 0*x + 5 + x + 4*x. Let f(l) = -14*q(l) - 6*t(l). Give -2*b(u) - 9*f(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9264506385?\nAnswer: 3, 5, 617633759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d - 1. Calculate k(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*m + 8530*m**3 - 123*m - 20 - 703*m**3 + 21 in the form g + x*m**3 + a*m + f*m**2 and give x.\nAnswer: 7827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-74.504867\nAnswer: 29.8019468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, n: 2, r: 2, u: 2}. What is prob of picking 2 r and 2 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1760 and -31\/1600?\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, d: 4, s: 10}. What is prob of picking 2 s?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 214545458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 38 = 22. Let l be 18\/((-30)\/(-5)) + 3 + 2. Solve -4*c - o = -6*c + l, -b*c - 3*o = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1500, -2985, -4422, -5787, -7056?\n\"Answer: 4*n**3 - 1513*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/126 and 95\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350795576 to the nearest integer?\nAnswer: 18730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 690557 (base 11) to base 16.\nAnswer: 10c3f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-6))**46)**(2\/87))**(-7) assuming r is positive.\nAnswer: r**(1288\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23601 + -10649. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 1 - 1 + (4*y + 3*y**3 - 4*y)*(-2 - 2*y + 2) + (-2*y - 3 + 3)*(-3*y**3 + 2*y**3 + 3*y**3).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(56\/(-4))\/(-7)*(1104\/(-24))\/23.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(2\/3)*j*j))**(-15)*j*j**(-6)\/j*j*j\/j**2)**(8\/7) assuming j is positive.\nAnswer: j**(272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/117? (a) 64 (b) 39 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q - 20. Suppose q*m + 4*p = 241, p - 2 = 2. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 - -164. Calculate the least common multiple of l and 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 102*m**2 + 109*m + 269. What is i(-50)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(2\/(-524)*-3). Let p = 437 + s. Suppose -4*l + 5*f = -l - p, f = 4*l - 256. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (675\/720)\/(2\/16). Factor 7\/4*z**3 - n*z**2 - 2 + 9*z.\nAnswer: (z - 2)**2*(7*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1117 + 1159. Solve l = 37*g - 30*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c - 2. Let y be s(-2). Suppose -y*f = -f - 15. Solve z + 2*l = -2*l + 11, -l = f*z + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145644 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: In base 16, what is -fe + -5?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17051 is divided by 1083?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 2, u: 5, w: 2, y: 8, d: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2799 + 1007 = 128*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*b - 1019, 4*j + b + 343 = 1717. Let x = j + -298. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-405)\/102)\/27*2*1\/((-5)\/(-3)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 6*a**2 - 3. Let d be u(-6). Let j be 2\/d*(-8 + 2). Solve 2*q = 2*f - j, 2*f + 4*q = -f - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 9*m - 7 = 0. Let r = 59 + -58.9. What is the third smallest value in m, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 13. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269087263.\nAnswer: 8147, 33029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59793.2 days to nanoseconds.\nAnswer: 5166132480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 6. Suppose -5*s - t = -24 + 2, 24 = 5*s + 2*t. Suppose -4 = 4*q - 7*q + 5*z, -3*q - 2*z - 31 = 0. Let m be ((-10)\/s)\/(q\/(-14)). Give i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 697*u**2 + 15 + 703*u**2 + (-3*u + 1 - 1)*(u + 3*u - 2*u) - 3*u**2 + 2*u**2 + 3*u**2 in the form v + l*u**2 + x*u and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l = 1050 - 13741. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 14. Suppose -2*r = -n - 28. Suppose -3*o = -2*q + 23, -o = -2*q - 2*o + 3. Calculate the greatest common factor of q and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 50. Solve q*u - 5 = 4*j - 1, -3*u + 4*j + 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80d (base 16) in base 6?\nAnswer: 13313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)\/p**7)\/(p**(2\/5))**(-1\/15) assuming p is positive.\nAnswer: p**(-4259\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 - 1687*m - 1667*m + 3336*m. Let j(i) = 7*i**2. Determine p(j(k)).\nAnswer: -126*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -614*(13 - 459\/36). Are -155 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12065694 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-91) + (-780)\/(-42).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 7*p + 2 = 4*p, q - 3*p + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/39 and -35\/207.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.2719 centuries in months?\nAnswer: 189926.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v + 2. Let h(a) = -a + 2. Let p = -270 - -269. Let u(s) = p*w(s) + 10*h(s). Let z(n) = -3*n. What is z(u(d))?\nAnswer: 6*d - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 274*a - 8218. Let m be w(30). Put -2, 282, 4, m, 0 in ascending order.\nAnswer: -2, 0, m, 4, 282","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -41 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 0, -j - 474 = -6*j - 3*b. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20097?\nAnswer: 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(112) + sqrt(112) + 2*sqrt(112))\/(sqrt(7)*2*-6))\/((sqrt(80)\/sqrt(20))\/sqrt(8) + sqrt(98)*-1*-5).\nAnswer: -3*sqrt(2)\/142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -22. Let a = 4 - 8. Let z = a + m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 13\/225 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g + 9. Let c be b(3). Solve -6 = h - 2*p + 4, -3*h + 5*p = c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 274 - 52 - 221 + 14*w. Let k(m) = -9*m. Determine k(v(r)).\nAnswer: -126*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.79 - -1.5. Round f to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g - 93. Let l(t) = -3*t - 34. Let p(q) = -2*l(q) + n(q). Let j(z) = -7*z - 51. Determine 4*j(f) - 9*p(f).\nAnswer: -f + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -583 + 5?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*343.6.\nAnswer: 2061.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450146606.\nAnswer: 2, 7, 13, 277, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -411 (c) 0.4 (d) -3 (e) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -2*j, k = -0*j - 3*j + 19. Let m(d) = -2*d**2 - 6*d - 1. Let s be m(j). Is 11 a factor of 2\/((-2)\/s) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 1. Let i(h) = 19*h**2 + 9. Let m(d) = -6*d**2 - 3. Let r(v) = 2*i(v) + 7*m(v). Let l = -16 + 11. Calculate l*p(c) + 2*r(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3105)\/11385)\/(2\/(-66)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121945.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -0.747760886379.\nAnswer: -0.252239113621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, -3, -5 in decreasing order.\nAnswer: 162, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 2, v: 1, r: 3, p: 3, t: 2}. What is prob of sequence pzp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13651 is divided by 12867.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -69548580 divided by -1931905?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.9 in 2\/3, 5, 3\/7, 2447?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1053753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/127 and 11\/127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45\/10)\/(5\/(-10)). Let p be -1*-2*5*t\/(-6). Suppose 13*d + 40 = p*d. What is the highest common factor of d and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 2.08. Let n = l + -6. Let y(h) = h**3 + 4*h**2 - 2*h + 18. Let g be y(-5). Which is the second smallest value? (a) n (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 199512792.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*m + 80*m - 4*m - 7*m + 4232 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.2, 34?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.613409977 to 4 dps.\nAnswer: 0.6134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 7 - (3 - 5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 6*z**2 + 12*z + 28. Let t(v) = -2*v**3 - 5*v**2 + 13*v + 27. Let y(d) = 3*r(d) - 4*t(d). Solve y(f) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3944 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/2)*r*r*r*r*r*(r*((r*r*r**(-5))\/r)\/r)\/r*((r\/r**4)\/r)\/r**(-3))**(-35))**32 assuming r is positive.\nAnswer: r**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 10*r + 25. Let m be j(5). Suppose -20*f = -23*f, m = -5*q - 3*f + 15. Solve 4*c - 5 - 10 = s, 3*c = q*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 3. Let y be w(11). Let q = -4 - y. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -1, -1383, -30 in descending order.\nAnswer: 1, -1, -4, -30, -1383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - r = -2, -4*r = 4*f + r - 1. What is the biggest value in -8, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624\/390*(-1)\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**3\/3 - 158*z - 1. Let k(p) = -2926*p**2 - 2. Determine f(k(j)).\nAnswer: 5852*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2641123609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 15)*(0*g**2 + g**2 + 0*g**2).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(0 + 6\/9). Calculate the common denominator of 8\/(-20) + o\/12 and -31\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5786*y**4 + 1942?\nAnswer: 23144*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7 - 11 - 5*o**3 + 4*o**3 + 6*o**2 + 11*o. Is 8 a factor of w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3 - 4\/(-6). Suppose -3*r = -k*r + 21. Let q be (-192)\/(-14) - (-6)\/21. What is the highest common divisor of q and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 6*y**2. Let t(h) = -h**3 - 1. Give -a(l) - 2*t(l).\nAnswer: l**3 - 6*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*i + 14. Let k be i\/(-2)*(-6)\/12*-1. Find the first derivative of -11 - k + 9 + 6*c**2 + 17 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001343855231 to 7 decimal places.\nAnswer: 0.0013439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/3))\/((-224)\/2912)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1008)*-3)\/(sqrt(63)\/(sqrt(28)*2)).\nAnswer: -192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 11*t**2 + 34*t**2 + 3*t**3.\nAnswer: 3*t**3 + 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 11. What is the third biggest value in -1\/2, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/120 - k**5\/15 + k**4\/24 - k**3\/3 + 2*k**2. Let a(c) = -c**3 - 2*c**2 - 3*c - 2. Let j be a(-2). Give x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. Suppose m*s = -0*s. Solve -5*r + 2*z + 3 = -2, s = 3*r + z - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b*b*(b\/(((b**(1\/6)*b*b)\/b)\/b))\/b))\/(b**(-16\/9)\/((b\/(b\/(b*b**(-24))))\/b)) assuming b is positive.\nAnswer: b**(-325\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-23420)\/(-15). Let s = a - 945. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46417455, -46417451, -46417435, -46417401, -46417343?\n\"Answer: p**3 - 3*p - 46417453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04354 * -2.5.\nAnswer: -0.10885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b + 6*b = -76 + 110 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 402?\nAnswer: 3618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -5\/4 (b) -49 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 24 + 156. Let s = 92 - y. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -2. Let j(w) = 7*w**2 - 7*w**3 - 8*w + 9 + 1 + g*w**3 + 1. What is the remainder when 30 is divided by j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1169 - 705. Calculate the remainder when z is divided by 432.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1342 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-18 - -12 - -2) - (-54 + 122)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1088530, -5, 11 in descending order.\nAnswer: 1088530, 11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-234)\/4524*-29)\/(((-6)\/(-2))\/(-10*5))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*a - 54 = -197*a. Let x = -2 - -1.9. Suppose -4*n + 7 = -3*v - 3*n, -3*n = 5*v - 7. What is the nearest to a in -0.3, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 99282*o + 198560. Determine z(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2730, -5479, -8226, -10971, -13714?\n\"Answer: r**2 - 2752*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 166845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 91 + 71 = 2*r, -4*z - 4*r = 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*b + 325*a - 327*a, 2*a = 12*b - 32 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 97, 2\/9, 1 in descending order.\nAnswer: 97, 1, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-28) - (-1)\/2. Suppose -8*p - 21*p + 4698 = h. What is the remainder when p is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.30437 + -0.10437. What is the third biggest value in -18, -2\/55, a?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-14) - (-80)\/140\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 91338?\nAnswer: -91338.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + (8 - 4) - -10. Solve f + 17 = 5*l, 7*f - 4*l = 4*f - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 3385.\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 202088923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 d when four letters picked without replacement from {o: 13, d: 4, g: 3}?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 8605308 = -9*j. Let u = 1927436 + j. What is u rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1138069254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c83b6 (base 13) to base 8.\nAnswer: 1301004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000233 to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2243 + -0.0243. Is n <= -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*x + 3*x. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4645 - 4637.5. Put f, 0.6, 1\/2 in decreasing order.\nAnswer: f, 0.6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-44)\/12) - (0 + (-3375)\/693)?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 12.5. Let f = 12.2 + n. Which is the third biggest value? (a) -3 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.2 and -29.\nAnswer: -324.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-20)\/(-12))*(2 + 1). Let t(d) = 3*d + 1. Calculate t(h).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/(-13600)*(-3 + -3))\/(1\/(-24)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 15678 = -37*d. What is the lowest common multiple of 18 and d?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 90884 = -16630. Let n = f - -16159. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 4817*r - 81581. Determine n(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 46?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjjjgxgjjj. Give prob of picking 1 j, 1 x, and 2 g.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 362, -3\/2, -0.02, -0.06?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*z**5\/2 + 13059*z**4 - 720903*z**3\/2 + 513896*z**2 - 219950*z + 22472 = 0.\nAnswer: 4\/27, 2\/3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -198*n + 199*n - 4. Solve 0 = -9*x + n*x + f + 17, -11 = -5*x - 2*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/42)\/(3*(-2)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7772 * 17.8.\nAnswer: -138341.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 225*i - 2430.\nAnswer: 5*(i - 9)*(i + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f**3 + f**2 - f. Let q = -14 + 16. Suppose y - q = -0*y. Suppose 2*g = -y*t + 4, -3*t = -3*g - t + 1. Determine c(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01711 times 0.7\nAnswer: -0.011977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4738319 is divided by 526475?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (-5)\/((-30)\/2)*39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761*m**3 + 3*m + 248*m**3 + 2574*m**3 - 3*m.\nAnswer: 3583*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4594384nm?\nAnswer: 0.00000004594384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30167 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.397 and 0.14.\nAnswer: -0.05558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479533763?\nAnswer: 29, 16535647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011069 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 + 5*d**2 + d**2 + 2*d**2 - 4*d**2 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 221633 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-19 - 5 - -17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, i: 1, j: 9}. Give prob of picking 1 j and 1 f.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63b6 - 3?\nAnswer: -63b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -0.09 (b) -1 (c) 2 (d) -124 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 4979969237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -518*b + 479. What is the tens digit of l(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 + 212. Solve 40 = -y*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n - 30 = -46*n. Suppose n - 7 = 4*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*r**2\/5 + 57506*r\/5 - 11504.\nAnswer: 2*(r - 1)*(7*r + 28760)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/110 and -99\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q - 36. Let h be i(4). Solve 6*t - 7*t = -4*m - h, 0 = -m - 5*t + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d + 2. Suppose -d*z + 7 + 3 = -2*h, 0 = -2*z + 8. What is the common denominator of 21\/11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 1 + 2 + 0. What is the units digit of 58*(-1 + 9\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 44\/(-12) - 4995\/(-81). Solve -25 = -67*w + y*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16253\/3 less than or equal to -5417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*t**5 - 20*t**3 - 1513*t**2.\nAnswer: 1440*t**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/(-60)*4*3385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-4))\/((-2)\/4). Suppose -3*w + 0*v - n = -5*v, v = -4*w + 24. Solve 2*b = 3*r + 3*b + 16, w*b - 20 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*y + 2*y - 3*q, -y = -3*q - 22. Suppose 3*z - 61 + y = 0. Solve 3*r - 2 = 3*v + z, -12 = -3*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*o + 3*o - 70*o + 23*o.\nAnswer: -162*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2740222 centuries in years?\nAnswer: 27.40222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 1, i: 3}. What is prob of sequence biix?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 - 1.35. Let h = i - -1.00000075. What is h rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37b4 (base 12) in base 4?\nAnswer: -1202320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.035 and -3737.\nAnswer: 130.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 12}. What is prob of sequence si?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3083*x + 15878 + 5410 = -11787 - 3921 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/(-42)*(3 - 0) - 2. Solve -4*a = -4*o + 7*o - 4, 3*o + t*a - 3 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 4, q: 3, w: 1}. Give prob of picking 2 s, 1 q, and 1 k.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34697169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 10. Let h = 9 + n. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 126, -0.4, 1 in descending order.\nAnswer: 126, 1.8, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qukx when four letters picked without replacement from {h: 5, z: 3, k: 1, u: 1, x: 6, q: 3}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21490 rounded to the nearest 100?\nAnswer: -21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 31*l**2 - 66*l - 62. Let v be c(-29). Suppose x = -0*x - 72. Let z = x + v. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5.537.\nAnswer: 27.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z - 141. Determine b(-21).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 202111, 202135, 202159?\n\"Answer: 24*k + 202087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 56. Let v = -684 + 682. Let b = 12 - 7. Sort b, v, 3, y.\nAnswer: v, y, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 3\/14*o**7 + 0*o**5 + 0*o**2 + 0 + 0*o**4 + 10*o - 1\/3*o**3 + 0*o**6. What is the second derivative of n(y) wrt y?\nAnswer: 180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223*c**3*g - 1162*c**3 + c**2 + 5*c - 14123*g wrt c?\nAnswer: 1338*g - 6972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**2\/2 + 12*p - 383. Calculate v(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-3 + 2) + -6. Let x = -3 - t. Let g(y) = y**3 - 5*y**2 + 2*y + 1. Determine g(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47057251 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923003410 rounded to the nearest 100000?\nAnswer: 1923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -38*b + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 63 (b) -20 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6850021*y + 6850291*y = 27810 for y.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10837 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -6*x + 52. Suppose 0 = x*v + 54 - 178. Calculate the remainder when 152 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 g when three letters picked without replacement from {l: 1, g: 4, b: 2, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0058 times -0.36\nAnswer: 0.002088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5047\/12 + -1685\/4. Which is the nearest to 9\/2? (a) -4\/5 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6 + (-22)\/(-4). Suppose -x*m = m - 48. Let a be 0\/2 - -2 - 2. Solve -4*h + 3*d = m, a*h + 4*h - 2*d = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19698.11 + -19565. Let u = -134 + h. What is u rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -2057 - 1556 + 181. Let c = 5 + -3. Let a be (89 - 4) + 1 + c. What is the greatest common divisor of a and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**5\/4 - 3423*n**4\/2 + 260604*n**3 - 13273248*n**2 + 5267712*n.\nAnswer: 3*n*(n - 152)**3*(5*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - h + 21 = 0. Suppose h*a = -3 + 69. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01639517047 rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*k + 3*h + 70, 2*k + 0*k - 108*h + 10 = 5*k - 104*h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(2\/4). Suppose -143 = d + 2*a, 8*a + 5 = 3*a. Let g be 3 - (0 - d\/45). Sort g, b, 4 in descending order.\nAnswer: 4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**3 - 2*t**2 - 13*t + 13. Let v(m) = 3*m**3 + m**2 + 6*m - 6. Calculate -6*l(g) - 13*v(g).\nAnswer: -3*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 + 33*t + 51. Give h(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39504222 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 14}. Give prob of picking 1 z and 3 l.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81.554+-13\nAnswer: 68.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533045977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -13*r + 5*r - 18*r + 24 - 2*r + 4*r**3 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 13*m - 114, 0 = 4*y - 16*m + 20*m - 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = -12, -2*t - 1 = 5*w. Suppose -y + w = -1. Suppose y*f + 2*n = 20, -25 = f - 3*f - 3*n. Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/15 - -74\/165. Let z = -5 + 5.4. What is the smallest value in z, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - v**3 + 11*v**3)*(-1 + 3 - 10).\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 123, 0.2 in decreasing order.\nAnswer: 123, 5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + -1.96. Let w = -16 + 3. Let r = w + 13. Which is the closest to r? (a) 3 (b) -3\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7 = -10*y. Let r = 10 - y. Let h be (-4)\/(-92)*(-1 + -1). Which is the second smallest value? (a) h (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*q + 1 + 3, 5*q = 4*a + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -8*w + 3*w + 10, 0 = 5*i - 3*w. Let n(t) = -2 - i - 2*t**2 + 1 + 7*t. What is n(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 300, 296, 290, 282, 272?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w + 7. Suppose -9 = -3*i - 15. Let a(d) = -1. Let g(b) = i*a(b) + 2*n(b). What is the first derivative of g(s) wrt s?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43728 and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Let v(o) = 3*o. Suppose 0*g - 12 = 3*g. Let h(q) = 15*q. Let k(a) = g*h(a) + 21*v(a). What is s(k(z))?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3176 + 8876. What are the prime factors of v?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78.3 or -135412?\nAnswer: -78.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*n + 39, -a - 2*n + 4 = -7. Is 9\/(-6)*(-402)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/16*(-64)\/136?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1541, -418, 4 in descending order.\nAnswer: 1541, 4, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 962, 1905, 2844, 3779?\nAnswer: 4710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(3\/8)\/a)*a**(-4)*a)**(-8) assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*i**3 + 24*i**3 - 23*i**3 - 32*i**3 - i**2 + 16*i**3 + 16 as f*i**2 + k + n*i**3 + q*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14303815 to three decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -6, -1\/16, -6\/19, 14\/3, 5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6385 is divided by 1269.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 54. Let u = 23 - a. Suppose 2*m - 7 = -h + 27, 0 = 2*m - u. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-355)\/(-852)*(-35)\/(-100)*1\/7.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 1165165876?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 152?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/(x\/(((x*x**(-3))\/x)\/x)*x))\/(x\/x**(-4)*x**(2\/5)))\/((x**(-1\/4)\/x*x\/x**(-2\/15))\/(x**(-2\/7)\/(x\/(x*x*x\/x**(-7)*x)*x))) assuming x is positive.\nAnswer: x**(-4019\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shshss. Give prob of picking 4 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409719 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2\/2 - 58875*t - 149433843\/2 = 0.\nAnswer: -37937, -1313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12*a = -5*o + 6546, -2*o = 4*a - 2622. Calculate the smallest common multiple of 165 and o.\nAnswer: 14355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*a - 44*a - 36608 = -231*a + 923*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4896809466 to the power of 1\/4, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-40))\/((-26)\/(-1820))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Give q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 558 = -2*t, -1368 - 1430 = -5*a - 2*t. What is the greatest common factor of 210 and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zltz when four letters picked without replacement from {t: 2, z: 2, l: 1, c: 2, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.7 - -20.6. Put o, -4\/5, -13, 0.2 in increasing order.\nAnswer: -13, -4\/5, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 4. Let d(h) = -5*h + 2 + 0*h + 4*h + 0*h. Calculate 5*d(i) + 3*l(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34.8 + -9.1. Let k = 42 + t. Let v = k + 1.8. Which is the third smallest value? (a) -3 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 112*x - 128 = -682, 49 = 4*d + 5*x for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6234\/(-2870))\/(-3) + -1. Let x = 2\/205 - j. Factor 0 - x*t**4 + 0*t**3 + 0*t + 2\/7*t**2.\nAnswer: -2*t**2*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -14*d - 3*m + 16, -2*m = -2*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 32\/7 (b) -3\/2 (c) 328\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjnkjnnkn. Give prob of picking 1 j and 1 n.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + u + 2*u + (u + u + 0*u)*(-2 + 1 + 3) + 3*u - 7*u + 2*u - 18 + 83*u - 168*u + 78*u.\nAnswer: -3*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 56\/11, -1387 in descending order.\nAnswer: 56\/11, -0.4, -1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6380 and 2860.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 8*j**2 - 4*j - 8. Suppose 11 = -5*a + 6*a + b, b = 2*a - 10. Let t be m(a). Let s(z) = -z**2 + 14*z - 16. Determine s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvd when three letters picked without replacement from {n: 1, d: 2, v: 1, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 - 857?\nAnswer: -857.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 94\/29 (b) -4 (c) -21 (d) -74 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 2 - (-14 - -25) - (10 + 0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 59*r**7\/42 + r**5\/30 + 101*r**4\/24 + 2*r**2 + 38*r. What is the third derivative of z(n) wrt n?\nAnswer: 7080*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c347 (base 13) to base 4.\nAnswer: -221130013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-88)\/(-99))\/4*3. Suppose 5 = 2*g - h, 3*h + 0*h = -4*g + 5. What is the closest to -0.09 in g, l, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 10*v = 7826 + 71257. What is the greatest common divisor of 87 and v?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 - -244. Is 89 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 9, 0.03 in increasing order.\nAnswer: -4, 0.03, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -37. Find the first derivative of -105*d**4 - 72 - 36 + 0*d**2 + c*d**2 wrt d.\nAnswer: -420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**5 - v**4 + v**3 - v - 1. Let n(x) = 3*x**5 + 15*x**4 - 15*x**3 + 3*x**2 + 6*x + 6. Let b(k) = -6*i(k) - n(k). Factor b(z).\nAnswer: 3*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 + 4*y**2 + 10*y + 7. Let c(g) = 3*g**3 - 3*g**2 - 7*g - 5. Suppose 6*s + 40 = s. Let p be (-62)\/s + 12\/(-16). Determine p*c(d) + 5*k(d).\nAnswer: d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:19 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 - 18*b**2 + 7*b - 5. Is i(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 492.905 + -490. Let o = s - -0.095. Let u = 58 + -172\/3. Which is the third smallest value? (a) 2 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (5 - ((-22 - -10) + 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3933\/17 + 231. Let t(g) be the first derivative of -g**4\/4 - 8*g**3\/3 - 5*g**2 + 12*g + 32. Let l be t(-6). Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 - 37 = 7*c. Let a(u) = u**2 + 19*u. Let o be a(c). Solve -4*v - 26 + 10 = o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*x + 6*o - 75, -5*x + 90 = 3*o. Is 5 - (6\/x - 1224\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 3677 in descending order.\nAnswer: 3677, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 967388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 8}. Give prob of picking 2 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x + 1001. Let t be p(83). Solve t*g - 260*g + 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -197, -468, -839, -1304, -1857, -2492?\nAnswer: -3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*w = -29, -3*s = -s + w - 17. Suppose -s = 7*u - 25. Solve 14 = -u*c + 14 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -1\/2 (c) 34 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 1, z: 1, y: 2, k: 3, f: 10}. Give prob of picking 1 o, 1 k, and 1 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -238*x - 53. What is the units digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28443204337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let i be 0 + 4\/(4 + c). Suppose -2*f + i*b = 2*f - 1246, 0 = -5*b - 15. Round f to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -579354 divided by -433.\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 10, q: 4, n: 1}. What is prob of sequence cqc?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r + 4*t - 116, -4*r + 148 = -4*t. Suppose 24 = 4*g + 8. Suppose -91 = -g*u + r. Solve 5*m - 40 = 5*a, 5*m + a = 3*a + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/678930 and -59\/2509815.\nAnswer: 306197430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 - 5 = 0. Suppose t*x + x = 20. Suppose -p = -x*p + 12. Solve 2 = 4*w - z, -p*w - z - 2 = -0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l + 1. Let n be y(2). Let i(o) be the second derivative of -7*o**3\/6 + o**2\/2 + 4*o. Calculate i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 1195*b**5\/2 - 29*b**4\/3 + b**2\/2 + 132*b - 10. Find the third derivative of n(i) wrt i.\nAnswer: 71700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2567964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 13 - 4)*(-138 + 101 - 64)*(2*o - 5*o + 0*o).\nAnswer: -3636*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -5)\/(128\/14720). Let p = x + 583. Suppose 7 = v - 3. Solve 0 = 3*l - p*l - v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 9 + 30 = 0. Let i(y) = 4*y**2 + 4*y - 8. Let b(a) = -a**2 - a + 2. Let g(f) = -9*b(f) - 2*i(f). Let t be g(2). Sort t, x, 1 in ascending order.\nAnswer: x, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/3, -5, -11\/30?\nAnswer: -11\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96238060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2100 - -1000?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55095, 220925, 497309, 884247, 1381739, 1989785, 2708385?\nAnswer: 3537539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011 + 21121?\nAnswer: 111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by 31\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -249, -561, -1001, -1569, -2265?\nAnswer: -3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 132931*y - 266010. What is r(2)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 33 (b) 0.2 (c) 5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 9*w + 1. Let q(s) = s. Let o(m) = -f(m) + 2*q(m). Calculate o(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a week in minutes?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w**3 - 423*w**2 - 8430*w wrt w.\nAnswer: -48*w - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = -7*t - 322 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**2 - 2*l - 76 + 76 as w*l**2 + x + n*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*d - 83 - 101 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1009, 1078, 1271, 1600, 2077, 2714, 3523, 4516?\n\"Answer: 2*q**3 + 50*q**2 - 95*q + 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, and 1 t when three letters picked without replacement from {b: 2, n: 2, t: 8, f: 1}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*w + 3*s, 3*w + 3*s = 4*w - 8. Let r = w - 12. Let v = r + 18. What is the greatest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) - (sqrt(6655)*-1 + sqrt(6655) - sqrt(6655)))\/sqrt(5))**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 739*f**2 - 11023*f. Let q(m) = -370*m**2 + 5508*m. Let h(r) = 6*i(r) + 11*q(r). What is the second derivative of h(u) wrt u?\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319 and 58269062.\nAnswer: 640959682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-28) + 3\/(-4))*-698. Let i = 152 + o. What are the prime factors of i?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449779 is divided by 4632?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1877 + -93. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/14 + (-13 - 20\/((-1260)\/783))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -241\/3? (a) -28 (b) 0 (c) 0.05 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240.7 + 240. What is the closest to 1 in 5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79436, 79434, 79432, 79430, 79428, 79426?\nAnswer: 79424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t + 33. Calculate l(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10013064 divided by 10013064?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 + 9*u + 6. Let p(i) = -3*i**2 - 8*i - 6. Let z(n) = 3*p(n) + 2*v(n). Let g be z(-4). Solve -26 - 4 = 4*f + 2*q, -g*q + 10 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + v + 17 = 0, -f - 2*f + 3*v + 15 = 0. Suppose -5*w + 3*y = -f*w - 42, -8 = 2*y. What is the greatest common divisor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9344577 divided by 11\nAnswer: -849507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1526\/5853?\nAnswer: -1526\/5853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4300*w**5 - 17463*w**4 - 887*w**2 - 38*w - 39 wrt w.\nAnswer: 258000*w**2 - 419112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28030, -28029, -28028, -28027?\n\"Answer: o - 28031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -11, -2, 23, 70, 145?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 + 126. Let t be (1 + 0)*(x + 1). Let o(s) = s**2 - 2*s - 1. Let f be o(-1). Solve -f*n = t*z - 5*n - 6, -4*z + n = -10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39.9 - 40.2. Sort 27\/5, h, -2 in decreasing order.\nAnswer: 27\/5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*o = -412*o + 20, 4*c = 2*o + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -32. Sort k, 2, 3 in ascending order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64\/15 - 13\/5. Solve x**3 + 4\/3*x**4 - x - v*x**2 + 1\/3 = 0 for x.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a**2 + a**2 - 4*a**2)*(3*a + 246 - 246)*(-a + a - a) to the form z*a**4 + r*a**3 + f + n*a + h*a**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2266310 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqv when three letters picked without replacement from gggggrqgpvrgvggg.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:38 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484874, -484877, -484880?\nAnswer: -484883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-31)\/6 - 1680\/2016?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949 times -0.14?\nAnswer: -272.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 25. Suppose -4*g + 20 = 4. Solve -n*x = -3*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*p = 0, -14*b = -9*b + 2*p - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Let g = u + -9. Let d = 7 + g. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let x(s) be the second derivative of -1\/2*s**2 + 17*s + 0. Let r(a) = a**2 + 11*a + 19. Let m be r(-2). Determine m*i(q) - 3*x(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3566954 is divided by 222923.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*z - 5 = 0, -4*z - 32 + 12 = 0. Let s be 1 + -2 - (r - 140). Suppose -s = -4*i - i. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (534\/(-5))\/(104\/(-780)). Let x = q - 809. Let w(f) = -f**2 - 1. Let h(s) = s**3 + 14*s**2 - 3. Let g(m) = h(m) + 6*w(m). Determine g(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.4. Let n = 22 - 20. Let r be 5 - n - (-3 - -3). Which is the closest to i? (a) 2 (b) r (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0 (c) 19041653\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-108)*1728\/(-89640).\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-7)\/(-28)*1\/14*12.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -17*n - 2\/7*n**3 + 0 + 5\/21*n**4 - 1\/35*n**5 + 0*n**2 - 2\/105*n**6. Factor g(c).\nAnswer: -4*c*(c - 1)**2*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 7*a + 73. Let j(h) be the first derivative of 0*h**2 - a + 2*h + 1\/3*h**3. What is the first derivative of j(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 34*d = 72, -1400*b + 2803*b - 3*d - 14 = 1407*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (10 - (-8 + 12))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -298 and -1974?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**5\/60 - 7*d**4\/24 - d**3\/2 + 3*d**2. Let p be a(7). Let y = p + 169. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.227279858 - -22.7.\nAnswer: 22.927279858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 3*r**2 + 5*r**2 - r**2 - 3*r**2 + 2*r**2 + (-r + 2 - 2)*(-3*r + 2*r + 3*r) - 3*r + 3*r - 2*r**2 - 24*r**2 - r**2 + 2*r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r - 56 + 136 - 65 + 83*r to q*r + c and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 - g**2. Let p be z(1). Let s = p + 23. Let m = s + -11. What is the remainder when 11 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946399 is divided by 416.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2 + -2 + 3. Suppose 0*z + 5*r + 188 = x*z, -96 = -2*z + 3*r. Find the common denominator of 1\/9 and (-3)\/(-2)*232\/z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by 14.\nAnswer: 157\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -6075*u**2 - 80061480*u - 263779447728 = 0. What is u?\nAnswer: -296524\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596 + -4345.\nAnswer: -3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 2*r + 2*r)*(1 - 3 + 1) - 10*r - 14*r + 17*r in the form s*r + y and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/11 (b) -3\/2 (c) -5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**3\/s*s\/(s\/s**(-21)) assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/10 + ((-182)\/(-3))\/((-795)\/(-3816)) is divided by 261.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 4*a**2 + a. Let r = -40 - -50. Suppose -4*o + r = 5*v, -4*v - 2*o + 4 - 2 = 0. Determine f(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431188 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 13*z**2 + 13*z**2 + 2*z.\nAnswer: 18*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -542 or -1083\/2?\nAnswer: -542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.126 + 0.076595785.\nAnswer: -0.049404215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -3. Let x be 69*(3 - (-4 + 6)). Let i = x + -73. Which is the second smallest value? (a) -2\/15 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 199 = -107. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**5 - 11*o**5 - 14*o**5)*(29 + 60 - 17).\nAnswer: -2160*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = -12. Let b(l) = 2*l**2 + l**3 + 5*l**2 + 4 - y - l - 9*l. What is the units digit of b(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**19*n)*n)\/(n**(-4)*n) assuming n is positive.\nAnswer: n**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -112, -125, -102, -31?\n\"Answer: 2*a**3 - 51*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.12, -4, 37, -37, 0, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 1 + 4)*(1 - 5 + 2) + 0 + 5 - 4)*(-2*v**3 + 2*v**3 + v**3) as j*v + t*v**3 + x*v**2 + p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80200?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u**2 - 10*u - 1. Let g(h) = -h**2 - h - 1. Let i(n) = -6*g(n) + 3*z(n). Find p, given that i(p) = 0.\nAnswer: -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50785630921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**5\/4 + 105*z**4\/2 + 380*z**3 + 555*z**2\/2 - 1525*z\/4 - 330 = 0.\nAnswer: -33, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 636 and 2420382.\nAnswer: 256560492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-2313*c + 2313*c + 159 - 2*c**2) to h + n*c + q*c**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8021324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/6 + h**2 + h. Let u be z(0). Let f = u + 11. What is the highest common divisor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 + -5. Sort u, -4, 2\/7 in descending order.\nAnswer: u, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 2 + (-11 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3 - 4 + w - 1. Let m be d(6). What is the units digit of (5\/(-4))\/((-1)\/m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 6. Let c be u(-6). Suppose 5*p - 37 + 12 = c, 4*h - 15 = p. Suppose -21 = -h*s + 99. 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 the closest to 0.1 in 1\/12, 10, 4\/5, -1\/3, -14.6?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 82*y**2 - 7 + 82*y**2 + 84*y**2 - 247*y**2 + 16*y. Calculate the remainder when 110 is divided by x(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1443 (base 10) to base 6\nAnswer: -10403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -358 + 362. Let v be 0\/1 + -2 - -8. Is v not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193290.6 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(14 + -12 + -3). Let z = -192 - -5569\/29. Which is bigger: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(672\/(-406)) + (-4)\/(-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 53*c**3 + 4*c**2 - 4*c - 6. Let d(r) = 51*r**3 + 5*r**2 - 5*r - 9. Calculate 4*d(l) - 5*h(l).\nAnswer: -61*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2313 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366.9 or -2.2505?\nAnswer: -2.2505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-367 + 367 + 72*j**2)*(-9 + 9 + 11 + 4).\nAnswer: 1080*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95) + sqrt(95) + 2*sqrt(95) + sqrt(95)) + sqrt(95))\/(sqrt(125)*-5).\nAnswer: 24*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 78 = 3*f - 3*v, 0 = 4*v. What are the prime factors of 21\/2*f\/3?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76179 + -45023. What are the prime factors of t?\nAnswer: 2, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/42644 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 30*c - 133 - 91. Solve -12*k + c*k + 13 = -h, 0 = 4*k - 5*h - 33 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a factor of 3772911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 474227*t*z**3 - 62046*z**3 wrt t?\nAnswer: 474227*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y + 18 - 11*y - 24 + 2*y. What is p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 3, -36, -81, -126, -165, -192?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17114\/55 <= 312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -5*d**4\/2 + 3*d**2\/2 - 93*d - 95. What is the derivative of q(v) wrt v?\nAnswer: -30*v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -3*sqrt(84))*-3)\/sqrt(12) + 5 + (sqrt(7) - (sqrt(7) + -5 + sqrt(21)\/sqrt(3) + sqrt(7))).\nAnswer: 10 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -4*(-2)\/(-4). Suppose 4*r + 3*k - 30 = 15, -r - t*k = -21. Let p(w) = w - 6. What is p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10504, 10504, 10496, 10480, 10456, 10424?\nAnswer: 10384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-14))\/(6\/42)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1700)\/(-408)*(-24)\/80?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 3762124, -3?\nAnswer: 3762124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31008 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from {z: 8, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845, 855, 871, 893, 921, 955, 995?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -82\/13, -0.9, -1, -5, -369?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8142 = 29*c - 7301 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -113010 divided by 152?\nAnswer: -56505\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5)*y\/y**8)**(9\/14))**(-10\/11) assuming y is positive.\nAnswer: y**(324\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 15) to base 11.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8446301 to the nearest integer?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32812663 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzdddddbdzddqd. Give prob of picking 1 q and 2 d.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 19*w**2 + 4*w - 2. Let l(d) = 5*d**3 + 93*d**2 + 22*d - 11. What is 11*g(b) - 2*l(b)?\nAnswer: b**3 + 23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m - 4. Let r be l(5). Let o = 1 - 3. Let b be 0 - ((-2)\/o + -6). Solve b*t - 40 = 5*p, -6 = 3*t + r*p - 3*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z + 3. Let y = z - -3. Suppose 0 = -0*f + 3*f - 3. Calculate the greatest common divisor of f and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*v - 52*v - 12204. Suppose -c = 5*q + 3847, -3*c = 4*q + 20 + v. List the prime factors of q\/(-15) + 3\/(-9).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012819508 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.8. Let h = z - -0.10000028. What is h rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (31 - 745\/25)\/((-14)\/5). Which is the closest to 0.1? (a) 0 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from gvggvg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(((-45)\/6)\/(-5)). Put u, 5, 2, 3 in descending order.\nAnswer: 5, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*u + 27. Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000421 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:55 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Suppose 0 = 4*j - 6*j + 6. Let u(l) = -j + 3*l**2 + 3. Give f(u(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69471 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/222996 and 94\/45?\nAnswer: 3344940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - j - 12, -26*j = -24*j + 6. What is the closest to d in -8, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {v: 2, o: 4, r: 1, h: 9}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b8 (base 12) in base 7?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/21171 and -97\/465762.\nAnswer: 465762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n**2 - 12*n + 11. Let d(f) = f**2 + 6*f - 15. Let m be d(2). Let o be t(m). Calculate the greatest common factor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 538496.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7344305.\nAnswer: 5, 593, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((6822\/5306)\/(3\/(-7)))\/(-1 - 1420\/8)\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)\/(z*z**11))\/((z*z\/z**(-3\/7))\/z)**23 assuming z is positive.\nAnswer: z**(-314\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h - 7. What is the units digit of i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -4\/3*r**4 + 0*r**3 - r + 11*r**2 + 15. Let w(a) be the first derivative of s(a). Differentiate w(m) wrt m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162 and -0.08.\nAnswer: 12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 35. Let s(r) = 7. Let q(f) = -11*s(f) - 2*w(f). Let h(l) = -l - 2. Determine -7*h(y) + 2*q(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -474 divided by 2\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114203 + 30?\nAnswer: -114133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*p**2 + 9*p**2 + 13*p**2 + 12*p**2 + 18*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002695511 rounded to seven decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 5, 2, -7, -22?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b. Let d(w) = -17738*w**2 + 5*w - 3. Determine u(d(a)).\nAnswer: -53214*a**2 + 15*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1123*i - 5230. List the prime factors of h(35).\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -3. Let q = -79 - -87. Suppose -37 = -29*n - q. Which is the nearest to i? (a) -3 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 967800 divided by 5?\nAnswer: 193560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -684.0462 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4371*q + 266632. Give u(-61).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 3*p - 1. Let f be j(-2). Let r = 12 - f. Let q = 2.9 - 3. Which is the closest to 0.1? (a) q (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13710 = -528*a + 5482 + 2456 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -194, -619, -1440, -2789, -4798, -7599, -11324?\n\"Answer: -22*d**3 - 7*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. Let c(o) be the first derivative of o**4\/4 - o**3 - o**2 - 3*o + 4. Does 5 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 10. Suppose -95 = -6*s - 13*s. Suppose -s = -x + 3*g, -5*x = -x + 4*g - 20. Let n(l) = -l + 5. Determine x*n(k) - 2*v(k).\nAnswer: k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 3129138.\nAnswer: -312913.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*t**5*z**3 + 5*t**5 + 16*t**2*z**3 - 12*z wrt t?\nAnswer: -1620*t**2*z**3 + 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1657344.882 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 3:31 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4249 is divided by 440?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.60246t to milligrams.\nAnswer: 25602460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 120*o**4 - 121*o**3.\nAnswer: o**3*(o - 121)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - 6*q - 5*q to the form z + x*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3120*h**2 + 986 - 2259 - 1454 + 671 - 2569 wrt h?\nAnswer: 6240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*y + 22*h - 80, 0 = -3*y + 5*h + 8 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Let g(c) = c**2 + 3*c + 5. Let h(x) = -4*x**2 - 9*x - 15. Suppose 0*l = 5*l + 10. Let b(y) = l*h(y) - 7*g(y). What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 14292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -110111003211 (base 4) to base 7\nAnswer: -63203544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132443 + 12004?\nAnswer: -120434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w**2 + 22*w + 29. Determine c(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(152)\/(sqrt(8) - sqrt(512)) - 2*sqrt(152)\/(sqrt(8)*-1))*1)**2.\nAnswer: -104*sqrt(19)\/7 + 3995\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = l - 2*v, l = -3*l - 3*v + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00442601544 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 298 and 1364542.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27943*x + 578 = 27960*x. Calculate the remainder when 377 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.5 + 39.3. Which is the biggest value? (a) -57 (b) q (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:03 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 4, y: 9, q: 4}. Give prob of sequence yqyh.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 12, -5, 3 in descending order.\nAnswer: 12, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 0\/(-2))*1. Suppose -h*k + 78 = -k. Is 38 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14872*v**5 - 3*v**4 + 76*v**2 - 30*v + 6?\nAnswer: 892320*v**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503413404 (base 6) in base 14?\nAnswer: -2696392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 15. What is the remainder when 39 is divided by r(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 27, 32, 21, -18?\n\"Answer: -2*q**3 + 10*q**2 - 7*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 338952.2um?\nAnswer: 0.3389522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 - 9*n**2 - 192*n + 3. List the prime factors of d(17).\nAnswer: 2, 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 23*m**2 + 43*m - 14. Suppose -4*f + 84 = -4*a, -2*a + 3*f + 1 = 39. What are the prime factors of d(a)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 2727?\nAnswer: 56\/2727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/4609, -5\/4, 4 in increasing order.\nAnswer: -5\/4, -2\/4609, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01089 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 29*a**2 - 39*a - 898. Determine z(31).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1188 - -2d24?\nAnswer: 1b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:13 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 11*v**4 - 176734*v**3 - 755281*v**2 - 899964*v - 192852 = 0.\nAnswer: -2, -3\/11, 16071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27081 + -27079. What is the nearest to -2\/3 in 5, -0.0046, u?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -1051*k**4\/2 + 989*k**3\/3 - k**2\/2 - 1911. Find the third derivative of d(p) wrt p.\nAnswer: -12612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825983968.\nAnswer: 2, 3191, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 697*h**4 + 1502*h**2 + 1381674*h wrt h.\nAnswer: 8364*h**2 + 3004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 11*d**2 + 5*d - 21. Determine h(-10).\nAnswer: 829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 4098715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**4\/2 - 11495*l**3 - 26380985*l**2\/2 + 52899990*l - 52946010 = 0. What is l?\nAnswer: -2301, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1424)\/(-112) - 13 - (-36)\/77. What is the closest to l in -0.2, -3, 2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1039*z + 261. Calculate x(1).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 478851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - 3*t + 1. Let z(f) = -f. Let y(r) = -s(r) + 6*z(r). What is y(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let z(d) = d**3 + 16*d**2 + 17*d + 30. Let c be z(-15). Let g(n) = 2*n + c*n - 16*n - 4*n + n**2 - 3*n. Determine g(j(b)).\nAnswer: 9*b**2 + 63*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(8*2 - (6 - 6)). Let c(z) = -z**3 - 12*z**2 + z + 14. Let f be c(-12). Suppose -10 + g = f*i. Solve i*l - 7*m - 25 = -2*m, -4*l + m = -22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 0.1 (b) -2\/53 (c) -1 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 1, -3, 11, -115, -1, 0 in ascending order.\nAnswer: -156, -115, -3, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*u + 10 = 0, -51*u + 49*u = -5*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2124 = 3*v, -6*v + 4*v + 8 = 0. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, -4, -60513, -2 in decreasing order.\nAnswer: -2, -4, -229, -60513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41 and -52645?\nAnswer: 52686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = -5*c, 0 = 4*c - 0 - 4. Solve 11 + 1 = n*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-37)\/9 - (-17)\/153. Let l(g) = 470*g**2 - 2*g - 21. Is l(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126.139 + -126. Round g to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5 - 15003*m**4 + 78*m**2 - 3955714*m wrt m?\nAnswer: -20*m**3 - 180036*m**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let x(w) = -2*w**2 - 4. Let t(m) = -m**2 - 3. Let q(i) = -4*t(i) + 3*x(i). Calculate b(q(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40103 is divided by 183?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 69 = -21. Suppose 2*t + 5*x + 40 = 4*t, -4*t + 70 = -5*x. What is the greatest common divisor of t and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)*f**(-4\/9))\/(f*f**(-4)*f*((f**(-5\/2)*f*f)\/f)\/f))\/((f**1\/((f*f**(1\/2))\/f))\/(f**(-1\/3)\/(f**(-2\/3)*f))) assuming f is positive.\nAnswer: f**(95\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10878 - -10880. Let o(h) be the second derivative of 0 + 3\/20*h**5 + 22*h + 324*h**k + 9\/2*h**4 + 54*h**3. Factor o(c).\nAnswer: 3*(c + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 24*r + 2*r + 20*r + 27*r + 1. Is i(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + -6 + -2 + 1 + 14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -1. Let r be (-2)\/(-3)*120\/160. Which is the nearest to r? (a) 2 (b) -1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666, 1326, 1986, 2646, 3306, 3966?\nAnswer: 4626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + -2*(3 + 5 + sqrt(68)*1)*-3)**2.\nAnswer: 4844 + 1176*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*c + 3 + 21, -u = -c - 2. Let k(p) = -p**2 - 11*p - 11. Let s be k(-10). Sort u, s, 4.\nAnswer: u, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let f = -6 - -10. Let t = -67 - -66.9. Sort t, f, d in decreasing order.\nAnswer: f, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 608, 1196, 2172, 3530, 5264?\n\"Answer: -c**3 + 200*c**2 - 5*c + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-4\/5)*o)\/o)*o\/(o\/(o*o*o*o**(-7)*o*o)))**(2\/51) assuming o is positive.\nAnswer: o**(-2\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 6. Let g be 9\/36 + 46\/8. Let r(l) = -g*l**3 + 7*l**2 + l**2 - 7*l**2. What is r(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 8. Let j be s(8). Suppose j = -3*r + 24 + 18. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -78, 2, -32 in descending order.\nAnswer: 2, -5, -32, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -4485238.\nAnswer: 3\/2242619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 = 4*y - 58, 3*y - r = 48. Differentiate -9 + 5*i - 13 - 9 + y with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 18*s**2 - 68*s + 267. Determine q(8).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**5\/20 - b**4\/6 + b**3 + 5. Let v(i) be the third derivative of x(i). What is the units digit of v(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -2. Let n = 5 + z. Find the second derivative of -2*v - 3*v**3 - 2*v**4 + n*v**3 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, 0 = 2*f + 4*u - 5*u - 6. Let r = 114 + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -ddc9?\nAnswer: -ddc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 10*u**2 + 19*u - 43. Let b be s(-12). Solve 8 = 13*j - b*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 4*d**2 + d + 1. Let g be x(-4). Let l = 5 + g. Is 4\/3*27\/l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 497 - -492. Let o = p - 988.999507. What is o rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-2)\/(12\/(-3)). Suppose -41 = -5*o - f*c, -9 = -c - 2*c. Suppose -p = p + 4*l - 6, 11 = 3*p + 5*l. What is the greatest common divisor of p and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.6. Let r = 8 + -7.7. Let a = r + g. Sort 5, -4, a in decreasing order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47850.5398 less than -10931?\nAnswer: -58781.5398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 4397960.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55358 and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 294, 966, 2012, 3432, 5226?\n\"Answer: 187*v**2 + 111*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/24 + m**2 - 10. Let z(b) be the second derivative of w(b). Let t be z(0). Solve 0 = -2*p - t*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/8184 and -5\/6696.\nAnswer: 73656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 13 = 5*c - 3*w, -2*c - 6*w = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 76. Let l be (11 - 11)\/(-1 - -3). Suppose l = v - 2*t - 21, 2*v = -5*t + 36 + 24. Calculate the remainder when v is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(2 + 1) + 2. Let b(y) = 16*y + 11 - 15 - 15*y**2 - y**3 + 2*y**3 - 12. Let i be b(z). Calculate the highest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 2168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 6*z**2 - 2*z**2)*(3759*z**3 - 2623*z**3 - 3501*z**3 + 6462*z**3 + 6329*z**3).\nAnswer: 52130*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3*i*i\/i**(-3\/7))**(17\/2))**(-11) assuming i is positive.\nAnswer: i**(-3553\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 59*b = 905. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 7:38 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3012 and -87\/74296?\nAnswer: 222888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/3)\/5)\/(354\/7965)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 8*p - 9. Let n be m(5). Suppose 28 = -7*v + 518. Let x be v\/((-20)\/(-4)) - -1. Calculate the greatest common factor of x and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 60*o - 325. Let u be y(-54). Put u, 2, 20, 69 in descending order.\nAnswer: 69, 20, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-75)\/(-1765)) - (-6)\/(-10). Suppose -w*d - 56 = -72*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j**2 + 21*j**2 - 14*j**2.\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 3*h + h + (-4 + 0 + 3)*(0*h + h - 2*h))*(-9 + 1 - 15)*(-6 + 5 + 0) to a*h + d and give a.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + r - 2)*((6 - 5 - 3)*(-1 + 3 - 1) - 5 - 3 + 4) - 3*r + 4*r + 2*r + (1 - 3 + 3)*(2*r + 0*r - 3*r) as y*r + d and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/3 + 10039*q + 30114 = 0.\nAnswer: -30114, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -40291697.7\nAnswer: -12087509.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3229\/22 + -295\/2. Calculate the common denominator of (-81)\/(-2)*(-6 + 105\/18) and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {f: 1, w: 2, j: 1, p: 2, a: 8}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 - 2*d**2)*(-4*d**3 + 3*d**3 + 2*d**3) + d**5 - 2*d**5 + 3 + 0*d**5.\nAnswer: -2*d**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 <= -1080\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/9)\/(8\/588)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 2*d + d)*(-3 - 2 + 0).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 1. Let s(x) = 5*x + 70. Let i(w) = j(w) + s(w). What are the prime factors of i(23)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1386255098 to the nearest integer?\nAnswer: 37232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 890 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*i = -7, 3*h = 6*h - i + 21. Let j(y) = -4*y + 6. Let p = 4 + 5. What is the remainder when j(h) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3 - 4 + 6*i**3 + 9*i + 4 wrt i?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -1)*5\/2. Suppose s*t - 2*l + 4*l = 7, -2*l - 2 = 2*t. Let q be 4\/(-2)*((0 - -3) + 10\/(-4)). Put q, -3, -4, t in ascending order.\nAnswer: -4, -3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -7*y - 14 - 20 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*12\/(2 + 2). Let x be f\/1 - (-5)\/(-5). Let g(u) = 2 + 5*u - 3*u - x. Let v(y) = -5*y**2. Calculate g(v(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 606172.\nAnswer: 606172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -316 + 503. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18409 - -31096. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 241700.98 to the nearest one thousand.\nAnswer: 242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*m - 118*m + 325*m + 1128*m.\nAnswer: 1480*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*u + 196. Suppose -j + 6 = -u. Suppose 3*c - j - 173 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**8\/336 + f**7\/70 + f**6\/120 - f**5\/20 - f**4\/12 + f**2. Factor v(u).\nAnswer: u*(u - 1)*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167260 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a - 52 = 0. Suppose -2*g + 6 = 2*f, 2*g - 2*f - 1 = f. Suppose b - 44 = g*w, -5*b - w + 204 = 28. Calculate the remainder when b is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3283282 centuries to months.\nAnswer: 393.99384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 4661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -11\/4, 0.3, 33411?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 - 10*w**3 - 180*w**2 - 440*w - 320 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 18 = -3*b. Let u(j) = j**3 - 4*j**2 + 8*j - 4. Let m be u(2). Solve 3*f = -m*z + 20, b*z - 8*f + 10 = -3*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n + 5*c - 3 = 0, -5*n = -c - 11. Let x = n + -2. Let o = x - -1. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8601, -8480, -8359, -8238, -8117?\n\"Answer: 121*s - 8722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804720 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 968420 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 426732 times 6.3?\nAnswer: 2688411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 553947 - 31019511\/56. Let v = w + -190\/7. Let j = -139\/56 - v. Which is the biggest value? (a) 22 (b) -4 (c) j (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4216 and 476.\nAnswer: 29512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (10 + -39 - -7) + 27\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 38*y + 68 = -4*i, 0 = 5*i + 32*y - 58 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*j + 25, -3*u + 33 = 3*j + 9. Let g = -0.3 - -0.1. Which is the nearest to g? (a) -2\/3 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 13*p**2 - 3*p - 3. Let d(l) = -32 - 9*l**2 + l + 97 + l - 32 - 31. Calculate -5*b(s) - 8*d(s).\nAnswer: 7*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17467 - 20797 - 6*h**2 + 2*h**2 + 0*h**2.\nAnswer: -4*h**2 - 38264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1104859, -1104866, -1104887, -1104928, -1104995, -1105094, -1105231?\n\"Answer: -a**3 - a**2 + 3*a - 1104860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v\/v**(4\/7))\/v)))*v*v*v*v*v**1*v*v)**10)**(47\/3) assuming v is positive.\nAnswer: v**(9400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 6771?\nAnswer: 6768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, 0, -1\/39620, 30.\nAnswer: -2, -0.3, -1\/39620, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:45 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*u - 17, -h + 2*u - 13 + 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, f: 2}. What is prob of sequence fgg?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 8. Let o(v) = v**3 - 6*v**i - v + 6 + 9 + 6 - 16. Suppose 5*d - 24 = 3*t, -2*d + t = 2*d - 22. What is o(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 447 - -2589. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 778\/5 or 51.84?\nAnswer: 778\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**3 + 98*z**2 + 48*z + 6. What is c(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9680, 9678, 9674, 9668, 9660, 9650, 9638?\n\"Answer: -p**2 + p + 9680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h - 12. Let m = 152 - 89. Suppose -18*w + 25*w - m = 0. What is the tens digit of q(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146531 and 847.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000059544 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 13*v**2\/2 + 38. Let p(k) = 39*k**2 - 69*k**2 + 33*k**2. Give u(p(s)).\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -373 + 292. Let a = u - -81.00000084. What is a rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 249+2\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m + 118. Calculate q(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/((r\/(r**(3\/2)*r))\/r))\/(r**(2\/7)*r)**(7\/6) assuming r is positive.\nAnswer: r**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**2 + 16150*o - 178255 = 0?\nAnswer: -3241, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 - 46*j + 40. Suppose -259 = -15*z + 71. What is the tens digit of q(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1194*d + 26559. Determine u(22).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 544*u + 13533. Determine g(-31).\nAnswer: -3331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 10*p + 24. Let o be x(13). Let k be 3 + 16\/(-12) - (-25)\/o. Solve k = a + 10 - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 3) in base 15?\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1. Let j(i) = i**2 + 1. Let q be (-12 - 4)\/(-2 + 1). Suppose 2*w + 6 - q = 0. Let s(x) = w*c(x) - 3*j(x). Find the first derivative of s(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**2 - 4*o**2 + 34*o**3 - 551 - 2*o**2 + 553 + o to z*o + g*o**2 + v*o**3 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*t - 22, -y - 10 = -3*t - 0*y. Suppose 2*b + f = 5*f + 20, -t = b + 2*f. Suppose -3*a - 40 = -7*a - b*m, -15 = -5*m. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 3*s**2 + 3*s - 4. Let c(t) = -3*t**3 - 3*t**2 - 3*t + 5. Suppose -5*h = 25*h + 150. What is h*d(m) - 4*c(m)?\nAnswer: 2*m**3 - 3*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 721729 - 40415457\/56. Let h = u + -233\/7. Calculate the common denominator of ((-4)\/10 - (-1166)\/(-1060))*74\/(-24) and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0*k**3 + 0*k**2 - 7\/6*k**4 - 1\/10*k**5 + 11*k + 0. What is the third derivative of c(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 59*z**3 - z**2 + z. Suppose -693*k + 105*k + 46452 = 0. What is the remainder when k is divided by f(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3223584445081 minus 0.2?\nAnswer: -3223584445081.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let y(c) = c**2 + 4*c - 6. Let q(r) = -2*n(r) - y(r). Let v = -59 + 61. Suppose 0 = -4*d - 30 + v. Give q(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 4. Let z(q) = -2*q - 3. Let o(x) = -5*u(x) + 6*z(x). Let d be o(-2). What is the closest to 1 in 0.5, -1, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61136531 is divided by 20378831?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**3\/6 + 11*j**2\/2 - 5*j. Suppose v + 18 = 3*v. Let l be k(v). Solve -3*m + 2*m + 27 = -5*c, 5*c = -l*m - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 5\/(-2))*0. Suppose p*d + 42 = 2*d. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 24*k - 54. Let u be (-13)\/(325\/30)*4\/8. What is the second biggest value in k, -0.23, u?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 + -1.5. Let i = p - -7.3. Let a = i - 9. Which is smaller: -2\/7 or a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-78)*(-2 + 3\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 - -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10158162 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 212*h**2\/3 - 5120*h\/3 - 720896\/3.\nAnswer: -(h - 128)**2*(h + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 + -62. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - u + 12, 3*w + 3*u + 8 = 29. Solve 23 = -w*x + 3*h, -4*x + 5*h - 15 = 6*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-110)\/(-10))\/11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 66. Determine i(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.187 + 5.687. Which is the fourth smallest value? (a) 0 (b) 0.3 (c) i (d) 369 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -80. Let z be ((0 - 29)*i)\/(-1). Suppose 0 = -2*q + 3*s + 154, 5*q = s + z - 34. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7 = 4*w, -2 = -2*w - 3*x - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2807239?\nAnswer: 2\/2807239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + 123 + -231 + 205.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 7}. What is prob of picking 2 y?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26377070.\nAnswer: 2, 5, 2637707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 - 14 - (1 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 475 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3990 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6 - (-55)\/15. Suppose -64 = 3*j + 4*o, m*j = 7*o - 2*o - 95. Let z be 24\/j*2*-275. Round z to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5131.26 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*u = -24, q + q = 2*u + 8. Suppose 7*b - q*m = 5*b - 6, -4*b - 2*m + 12 = 0. Solve 3*h = b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:48 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74244 is divided by 681?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b + 43. Let o be j(-3). Solve -o*v + 10 = -15*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 11*r + 5*r + 5*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:52 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/((15\/25)\/(-1))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/80*(-102 - -100)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 2*f**3\/3 - 9*f. Let z(m) = -4*m. Calculate z(i(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let s(n) = 1177416*n**2. What is s(z(l))?\nAnswer: 1177416*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*z + z = -5, 4*z + 88 = 5*q. Suppose -2*c = 3*c + q. What is the units digit of (c + 1 + 2)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349373 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-70))\/((-410)\/287)*4.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 16047951.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 4 - (10\/10 - 4069) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 339, -276, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (79 + -184 - -56)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 635729 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77927.49111 - 77927. Let k = l - 0.494. What is k rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153693 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 2556. Suppose -4*t + 78 = 9*t. Suppose t*d + 270 - c = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23384 + 23423. Solve -3*y = -x + 45 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j - 45. Which is smaller: -16 or j?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 1 + 21. Let v = -7 - k. Suppose 0 = -5*d - 2*z + 80, 5*d - 90 = -0*z - v*z. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138558 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2.1. What is the closest to -1\/5 in 0.4, 4\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-1 - (1 - 3)). Suppose 0 = -3*d + 8*d - 10. Is k != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**3 + 0*z**4 - 9*z**2 - 3*z + 0*z + 6*z - 3*z**4.\nAnswer: -3*z*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215479394 and 338.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 4*h**2 + 0*h**2)*(10 + 59 - 15) + (-h - 2*h + 5*h)*(h - 2*h - 2*h).\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.48615 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-9)*-33 - -3)*-2. Solve -6*c + 26 = -g for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 6*y**2 + 7*y. Let n be i(7). Suppose b - 3*m = 4 - 0, n = 4*m. Let o(s) = 10*s - 8*s - 7*s + b. Determine o(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*b + 30 - 52 + 28)*(14*b**2 + 3*b**2 - 7*b**2) to the form l + o*b**3 + v*b**2 + q*b and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 + 6 = 0. Suppose -1 + 16 = 5*b. Solve 4*c + b*y - 32 = 0, -f*c = -3*y + 2*y - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 22*g - 17. Let j be l(1). Solve -4*u - j*u = -45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/60*-5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 58 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 4. Let w be u(-7). Let i = w - 54\/5. Which is the third biggest value? (a) -2 (b) -0.4 (c) 2\/11 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2733408 is divided by 101228?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111010101100000001011 + 10001?\nAnswer: -10101111010101011111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -248 + 250. Solve -p + 1 = q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612222458.\nAnswer: 2, 163, 1877983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9620 and 1400?\nAnswer: 673400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -5, -2, 1 in descending order.\nAnswer: 22, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/11, -12, 2603, -2\/11, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -397064091.50000043 + 397064117.5. Let y = 26 - l. What is y rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.0565\nAnswer: -0.01695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -18.7. Let p = 0.3 + n. Let i = p - 0.7. Which is the third biggest value? (a) i (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 22 = -3*f, 41*f - 35 = 36*f + 5*w for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 9:10 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -201*c**2 + 4*c + 7. Let q be j(-2). Let x = -2563 + 3955. Let p = q + x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111028 is divided by 834.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5\/4 + 37*m**4\/4 - 243*m**3\/4 - 1885*m**2\/4 - 150*m = 0?\nAnswer: -15, -5, -1\/3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1 + 20*w - 12*w - 10*w - w**2. What is g(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 545403173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -830547, -3322521, -7475923, -13290753?\n\"Answer: -830714*f**2 + 168*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**2 + h + 2. Calculate the remainder when 1*(37 + (-5)\/1) is divided by w(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742642 is divided by 2813.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313287839?\nAnswer: 3, 145920871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 7\/2*t**2 + 8 - 1\/3*t**3 + 4*t. Determine o(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.214 (c) -3 (d) 2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 22. Let d = -0.3 + 0.2. Let o = 6 - 5.7. Which is the biggest value? (a) d (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2521 + -1034. Suppose 5*r = -20, 0 = 4*a + 5*r - 313 - m. Are a and 455 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164930539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n**2 - n + 6. What is u(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 54*r + 47. Calculate n(55).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(-1 + (-1)\/(-2)). Suppose -i*b + 9 = -1. Solve b*t + t - 16 = -5*o, -2*t = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4628747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*p - 1391*p = -5430 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 12\/(-9)) + 221\/(-51). Let c be 2\/(20\/(-5) - a). Solve -m = -5*u - 10, 5*m = -4*u + c*u - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 82*g - 104*g + 3*g**2 - 2 - g**2 to the form z*g**2 + m*g + s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/23 (b) 0.2 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, q: 4, y: 3, s: 9}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o. Let d(n) = 10*n**2 - 39*n. Determine d(b(s)).\nAnswer: 90*s**2 + 117*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -57\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 71*o = 344 + 776 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -0*f + 4*v - 2, 0 = -2*f - 2*v + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 21*z**3 + 4*z**2 - 4. Let x(k) = -43*k**3 - 7*k**2 + 8. Let r(n) = -7*g(n) - 4*x(n). Differentiate r(h) wrt h.\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231294827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18 - 14) + 66\/(-15). What is the closest to f in -2, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 12*i - 9809 + 9789 = 0, -5*p = 4*i - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*t + 8 - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 16) to base 14.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 = 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 332158361 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*d - 56, 0 = 5*d + 2*l - 206434 + 206351 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 44, 87, 146, 227, 336, 479, 662?\n\"Answer: t**3 - t**2 + 29*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7370 - -7372. Let -10\/3*s - 50\/9 + f*s**2 - 2\/9*s**3 = 0. What is s?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59927 - 59895. Suppose 3*w - 482 = 856. What is the remainder when w is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 441*c**2 + 2*c - 1. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110 - 117 - (-4 - -1)) + 17 + 26?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.3. Let s = -0.2 - z. Let w = -0.08 - 4.92. What is the closest to -1\/3 in w, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-4 + (-56 - -55 - (-5 - 0)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1028 and -31\/384.\nAnswer: 98688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 73?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*w - 33, -4*f = -0*f + 4. Let p(j) = -4*j - 6. Calculate the remainder when p(w) is divided by (20 + -2)\/((-15)\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2 + (-2 - 3 + 3)*(1 + 3 - 1))*(18*p - 10*p + 45*p)*(1 + 1 - 3) as o*p + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-89*q + 29*q + 60*q + 6095*q**2 - 62127*q**2).\nAnswer: 56032*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-11) - -1)*(2 - 3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/42)\/((-360)\/420). Let t = 28 - 27.8. Which is the smallest value? (a) y (b) t (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6710\/(-305)*(-168)\/77?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302047 is divided by 350.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2) - (-16 + 1). Let t(i) = 4*i**2 - 79*i + 487. Let n be t(7). Calculate the highest common divisor of n and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (4 - 1) - 0. Find the second derivative of -8*l**4 - 10*l + 2*l + l**c + 5*l**4 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(567) - (sqrt(567) - (sqrt(567) + 2))) - (sqrt(567) - (sqrt(567) + -5 + 1 + sqrt(567) + sqrt(567)))) + -1 + sqrt(4032) + 1*(sqrt(4032) + -1).\nAnswer: -18 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 5, 1382\/115, -0.4, 0, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 + -138. Let o(a) = 8 + 12*a + 16*a - 9*a. Calculate the smallest common multiple of o(d) and 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -179*p + 1435. Let w be y(8). Let t(v) = -9*v**2 + 2*v - 4. Let u(l) = -8*l**2 + 2*l - 5. Calculate w*t(g) - 2*u(g).\nAnswer: -11*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2 + 14*q - 4. Let y(m) = -14*m**2 - 41*m + 11. Give -11*l(j) - 4*y(j).\nAnswer: j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7.54939 days?\nAnswer: 181.18536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8656, -17180, -25704, -34228?\nAnswer: -42752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 + -148. Which is the second smallest value? (a) 0.09 (b) s (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12772 - 12833. Which is the third biggest value? (a) r (b) -0.07 (c) -2\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 9*w**2 - 2*w - 13. Suppose 2*x + 3 = -3*i - 15, -3*i = -3*x - 27. Let a be h(x). Solve 5*v - 4*k + 10 = 3*v, a*v - 4*k + 13 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2842686465.8 + -0.1.\nAnswer: -2842686465.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c + 60. Suppose -3*y - 4 = 17. Let x = c + y. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110110001010011 (base 2) to base 13.\nAnswer: 7b15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - (-3 + 45 + -83)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/20 - 3*q**4\/4 - 4*q**3\/3 + q**2 - 28*q. Determine c(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4 - 0. Let g be (-9)\/(-24) - 5\/40. Find w such that 1\/4 + g*w**b - 1\/2*w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose -2*b - 3*t + 3779 = 0, 5676 = 2*b + b - q*t. Let s = -1104 + b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*z**2 + 25*z**2 + 0*z**4 - 9*z**4 + (-3*z + 2*z + 2*z)*(-z + z - 2*z**3) + 0 + 0 + z**4.\nAnswer: -10*z**4 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*2*((-120)\/(-540) - 39\/54).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331220 (base 4) in base 11?\nAnswer: 604a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2688\/11 + 2\/11*c**2 - 680\/11*c = 0.\nAnswer: 4, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 7*d - 3. Let x be h(-8). Suppose 2*f = -0*l - 2*l - 18, -4*f + x*l = 0. Sort 3, f, 4 in decreasing order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -37*d - 319. What is the lowest common multiple of i(-9) and 74?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/450 and -65\/33.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (296 + -293).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-18)*(-81)\/54. Is x at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 13279 - 13279 + 9*h + 39*h**3)*(-1 + 4 - 2).\nAnswer: 39*h**3 - h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-1) + -6*(-102)\/(-90).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822489 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z + 125 = -22*z + 34 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 18*i + 156575. Round i to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(14\/217 + (-1332990)\/(-1116))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 16 = -5*m, 0 = -3*i - 2*i + 3*m + 32. Suppose -i*s - 10974 = 77026. What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j + 67*j**4 + 30*j + 8 - 19*j wrt j.\nAnswer: 804*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2.90835 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 - 1) - -2. Let k be (-16785)\/(-81) + (-3)\/((-54)\/(-4)). Suppose 0 = 3*h - 6*h + 3*o - k, -w*h = 5*o + 321. Round h to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125450 - 16?\nAnswer: 125431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-3) + -3)\/(-1). Let l be ((-72)\/(-63))\/(k\/7). Suppose 5*p - p = 20. Solve l + 11 = -p*s - 4*f, -5*s = f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -10*f**3\/3 + 7*f - 14. What is the derivative of q(s) wrt s?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -49*k - 251. Let c be v(-6). Let a(x) = -7*x**2 + 3*x**3 + c + 5*x**2 - 2*x - 44 + x**2. Suppose -i = 2*w + 7, -2*i = -5*i - w - 6. What is a(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188368?\nAnswer: 2, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ede when three letters picked without replacement from deeddededeedd?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5661823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v - 20. Let c be w(-3). Let g be ((-77)\/14 + 6)*(c - 1). Solve f + 5*u + 2 = 3*u, u = g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -775395.2 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -4 in decreasing order.\nAnswer: 11, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 4*u + 16, -5*q + 8*q = -2*u + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0353 and 10.7.\nAnswer: 11.07771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 2 a when four letters picked without replacement from {a: 5, q: 2, b: 7}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 6*v + 8. Let m be s(-6). Let o = m - 2. Solve -4*t - 2 - o = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 110 = -5*d, -2*d + 22 + 53 = 5*h. Is 17 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.67 to 1 decimal place.\nAnswer: 37.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -385\/2 (b) -2 (c) 14 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-9)\/(-3))*-2. Let j = z - 10. Let u be ((-4)\/j)\/(1\/15). Solve u*d = -17 - 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 5. Let u = 958 - 960. Determine c(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (53294\/(-6))\/(2326\/3 - -6). Let r = j - 2\/293. Calculate the common denominator of -1\/133 and r.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m + 2. Give n(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5496 or -5376?\nAnswer: -5376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 30 = 17*f. What is the third derivative of 5*o**6 - 45*o + 21*o + 19*o + o**f - 2*o**2 wrt o?\nAnswer: 600*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222738 + 175612 = 50*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*w + 8*w - 6 = 0, -4*w + 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - 6*s**2 + 0*s**2 + 4*s - s**2 - 4*s + (0 - 2*s + 0)*(-2*s + 3 - 3) - s**2 + 2*s**2 + 0*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -482\/7 - -69. Let y be (-232)\/(-238) - 38\/323. What is the third smallest value in 1\/2, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from {q: 4, n: 3, y: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in -2\/5, 1\/4, -2, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3747*w + 3747*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20536523 and 41073046?\nAnswer: 41073046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 385*l**2 - 184*l**2 + 2 + 2*l - 59*l**2 to r + y*l**2 + c*l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 310*z + 162*z + 140*z - 114*z in the form h + t*z and give t.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 6*z**2 - 3*z - 7*z**3 + 2*z**3.\nAnswer: -3*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90241 by -71.\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.055 in 0.3, 2.7, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.48? (a) 3 (b) -0.4 (c) 1.1 (d) -1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -34378, 3.\nAnswer: -34378, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = -5*n, j - 1 = 2*j + 2*n. Put j, 0, -2 in ascending order.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 1092*n**2 + 87768*n - 18202320.\nAnswer: 2*(n - 90)*(n + 318)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4 (base 16) to base 3.\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3284, 3422, 3652, 3974, 4388?\nAnswer: 4894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.54 - 6.7. Let i = h - -0.03. Sort i, 2, 4.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -411\/4. Let g be 1\/4 - 1123\/(-36). Let z = 95\/3 - g. Which is the nearest to 0? (a) z (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1444\/11, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*q**2 - 5*q**2 - 7*q**2)*(-q**2 - 2*q**2 + q**2) as w + y*q**4 + u*q + g*q**3 + j*q**2 and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13569 - 13592 - (54 - -2).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 381 or 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-539)\/(-84)))\/(-8*1\/(-84)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21241386?\nAnswer: 2, 3, 31, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*f + 38, 3*f - 3*s - 30 = -54 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 2*b + 3*b)*(b**2 - b + b) + 2225*b**3 + 2*b - 2713*b**3 - 2*b to p*b + w + l*b**2 + f*b**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010010 (base 3) in base 15?\nAnswer: -12b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from baabaabaabbabb.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**3 + 200*y**2 - 284*y - 4. Let o(r) = 9*r**3 - 200*r**2 + 355*r + 5. Give -5*c(u) - 4*o(u).\nAnswer: 4*u**3 - 200*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 9 = 2*p - 5*p, 12 = 4*p + q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 1674902 - 2*p + 1676260 + 2*p in the form u*p + w and give w.\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 62c601 (base 13) to base 5\nAnswer: 1042443014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -8*c + 37. Suppose 9*w - 75 = c*w. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 2 + 72*w**3 - 12*w + 3.\nAnswer: 72*w**3 - 14*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/4 - 275*t**3\/4 + 1111*t**2\/4 - 1393*t\/4 + 279\/2 = 0 for t.\nAnswer: -279, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -606524 (base 8) in base 3?\nAnswer: -101011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4694.\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13003164 and 93911740.\nAnswer: 845205660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2936, -5817, -8864, -12077, -15456, -19001?\n\"Answer: -83*s**2 - 2632*s - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 51. Let u = -437 + 468. Let j = u + t. Is j >= 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 9*m = -2. Let r(u) = -u**2 - u - 1. Let i(s) = -3*s**2 - 2*s - 2. Calculate m*i(v) + 2*r(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4251 - 4250.9. Which is greater: x or 357?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 560, 4, -365 in increasing order.\nAnswer: -365, 0.06, 4, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-1*2) + (-45625)\/5625?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence teke when four letters picked without replacement from nekekneett.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 71. Suppose 0 = -63*r + 58*r. Let o be l(r). Let w = o + 120. 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 d be -32 + 4*4\/(-8). Let w = d - -174. What is w rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - a + 1. Let q(u) = 6*u**2 - 5*u + 5. Let d be (2\/4)\/((-8)\/16). Let f(v) = d*q(v) + 5*r(v). Let c(p) = -4787 + 42*p + 4787. Calculate c(f(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103563 and -5.\nAnswer: -517815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -3 in descending order.\nAnswer: 1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40001350 - -4?\nAnswer: 40001354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4130382 divided by -6\nAnswer: -688397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20173233 divided by -3\nAnswer: -6724411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -109*p - 95*p - 8*p**2 - 1 + 0*p**2 + 224*p. Let f be j(2). Solve 0 = -3*w + f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -223, -356, -489, -622, -755, -888?\n\"Answer: -133*d - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/816 and 61\/8088090.\nAnswer: 64704720","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**3 + 79*w**2 + 11*w - 9. Let z(q) = -3*q**3 + 40*q**2 + 5*q - 4. Suppose 0 = -101*j + 924 - 520. Calculate j*u(l) - 9*z(l).\nAnswer: -l**3 - 44*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8271 and 3?\nAnswer: 8271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 2. Let a be w(-4). Let b = 8 + a. Calculate the least common multiple of 10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((196\/70)\/(-14))\/((-2)\/45*-3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - g**4 + 3*g**4 + 22*g**2 + 2*g**3 + 3*g**4 - 8*g - 21*g**2 - 4*g**4 to f*g + t*g**2 + n*g**4 + p*g**3 + v and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 6*s**2 + 3*s - 9. What is the units digit of q(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 25, v + 4*v = -5*b - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25290288973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -125*j**2. Let d(p) = -4*p**2. What is g(d(l))?\nAnswer: -2000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11087715183 - -0.1.\nAnswer: -0.01087715183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)\/q**(-2\/13))\/(q\/q**(-1\/2))**(-5\/6) assuming q is positive.\nAnswer: q**(-499\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18053 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + k = -1, -4*k + 3 = -4*o - 9*k. Calculate the lowest common multiple of 5 and (o\/((-12)\/15))\/((-2)\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03593160134 rounded to 5 dps?\nAnswer: 0.03593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5599 + -783. Suppose 5*v + n = 10357 + r, 15165 = 5*v + 5*n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.119 - -2.881. What is the fourth smallest value in 0.4, -0.3, j, 4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3))**(-35)*(c*c\/c**(-5))\/c*c*c*c\/(c\/c**1))**(-2\/29) assuming c is positive.\nAnswer: c**(-194\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.937567 seconds to nanoseconds.\nAnswer: 3937567000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 19*g**8\/336 + 62*g**4\/3 - 94*g**2 + 3*g. What is the second derivative of i(d) wrt d?\nAnswer: 380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 - (22 - 15) - 4*1. Solve 62*v = 75*v - k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(((sqrt(26) - (sqrt(26) - sqrt(104)\/sqrt(4))*2) + sqrt(182)\/(sqrt(21)\/sqrt(3)))\/((sqrt(48)\/sqrt(3))\/sqrt(8) + (sqrt(2) - -6*-2*sqrt(2))) + 3).\nAnswer: -108 + 36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4071.069 litres to millilitres.\nAnswer: 4071069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 31*f - 3 + 4.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12035 + 12643. What is the lowest common multiple of 6 and j?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 + (15 - (8 + -1))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 35 = -4*m, -2*m - 2 - 20 = -2*q. Find the common denominator of m - 4\/((-816)\/1947) and 29\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/3 - 4\/(-6). Suppose -p - 15 = -0*p + 3*t, -15 = h*t. Solve 3*q - 5*q = p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 122*o**2 - 3*o - 75. Let b(i) = 366*i**2 - 8*i - 223. Let u = -336 - -344. Let v(w) = u*d(w) - 3*b(w). Differentiate v(f) with respect to f.\nAnswer: -244*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447622667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**2)\/(c*c**(1\/6)\/c))\/(c\/(c*c*c\/(c**(-3\/4)\/c)*c)*c)**(-50) assuming c is positive.\nAnswer: c**(-551\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 12:39 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 4*u - 26 = -3*z, -2*z + 4*u = -16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. Sort -1, i, 1 in descending order.\nAnswer: 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 r when three letters picked without replacement from {x: 3, r: 2, o: 2, b: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*h - 23. Suppose -2 + h = x. Suppose -64*p = -63*p. Solve p = -c + 4*c - x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 - 26*u - 1\/3*u**4 - 2*u**5 + 4\/3*u**3 + 0*u**2. What is the third derivative of t(b) wrt b?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 0 + 4\/5*v**5 + 12\/5*v**4 + 0*v + 0*v**3 - 16\/5*v**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - n**2 + 2*n + 2. Let a be o(-2). Suppose -3*p - a*p = -10. What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 633 + 678 + 673 + 672 - 2656.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 588152961 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-112)\/16)\/(2\/2*1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410073.\nAnswer: 3, 136691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -301358 - -3?\nAnswer: -301355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-35) + (-318)\/(-14). Suppose 0 = 5*d - 2*d - 27. Suppose n + 3*n = -3*v - w, -d = n + 4*v. Sort 1, n, -1 in decreasing order.\nAnswer: 1, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1920 and 8664.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 17 = -3845*t + 3842*t, -14*p + 4*t = -48 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:08 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y - 19. Let u(n) = -n - 1. Let v(a) = -q(a) - 2*u(a). Let w be v(-3). What is the second smallest value in 1\/3, -5\/4, w, 2\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 24*z - 11. Let u(v) = -v**3 + 2*v**2 + 25*v + 11. Let d(y) = 7*g(y) + 6*u(y). What is the units digit of d(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -27386119.2.\nAnswer: 8215835.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnsbejrejrnr. Give prob of sequence bs.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5654824961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/15*(6 - (8 + -1)). Which is the nearest to -1\/6? (a) 3 (b) 1\/7 (c) -2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1107, -2327, -3655, -5091?\n\"Answer: -54*m**2 - 1058*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.137621 and 10110373.\nAnswer: 10110373.137621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244884, -244789, -244694?\nAnswer: -244599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -150240 (base 6) to base 9\nAnswer: -21616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 9. Let t be j(-7). Let h(p) = 2*p - t - 2 - 4 - p. Suppose -28*l = -14*l - 56. Calculate h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(14\/4*97\/388)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 9*p + 5*v + 25, -3*p + 21 = -3*v. Suppose p*a - 3*z = -429999991, 5*z - 168966908 = 5*a + 261033077. Round a to the nearest 1000000.\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5151 or -5150?\nAnswer: -5150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 times 0.07?\nAnswer: 34.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*j + m + 9, -5*j - 15 = -2*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244177 is divided by 749.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5)*(15 + -10)*-5. Let g be (-2)\/(p\/5) + 2\/(-2). Let z(f) = -f - 12. Give z(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92 + 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7534463, -7534465, -7534467, -7534469?\n\"Answer: -2*d - 7534461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7839 + -7813.83. Let j = -8 + 33. Let s = i - j. What is s rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -42 - -60 - ((-10 - 14) + 6)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12060571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*-4*(-3 + sqrt(1573) + -1) + (sqrt(1573) + 0 + 1)*-4*1)**2.\nAnswer: -42680*sqrt(13) + 638609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.8 and -0.12.\nAnswer: -1.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*o + 466 + o - 733*o**5 - 469 wrt o.\nAnswer: -14660*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -703*a**5\/5 - 610*a**3\/3 + 597. Find the third derivative of r(k) wrt k.\nAnswer: -16872*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10731 is divided by 2682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -4*b**5 - 8*b**3\/3 + 3*b**2\/2 + 24. What is the third derivative of p(d) wrt d?\nAnswer: -480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 - 44. Suppose -2*p - p = 270. Is 40\/u*p\/(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82.7 + -94. Let n = b + 11. What is the closest to 0 in n, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (172 - 211) + (9 - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042336688 rounded to 5 dps?\nAnswer: -0.00423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 + 24*d - 5. Let m be v(-4). Suppose m*a - 12 + 1 = 0. Let o(c) = 4*c - 4*c - c - 5*c. Calculate o(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-94)\/8)\/((-462)\/(-12320)). What is the highest common factor of g and 62660?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321222, -321238, -321268, -321312?\nAnswer: -321370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23219 (base 12) in base 11?\nAnswer: 32316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 0.2, 2, -13088, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106622052?\nAnswer: 2, 3, 8885171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8 + 0 + 4)*(-1 - i - 1 - i) - 5 - 2*i + 5 + (-2*i + 4*i - 3*i)*(1 + 0 - 2) - 2*i - 3 + 3)*(-1 - 7 + 2) to q*i + b and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -24, -2, 4\/1223?\nAnswer: 4\/1223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -4. Let n(y) = -6 + 14*y**3 + 6*y**3 - 2*y - i*y**3 + 0*y. Let v(q) = -5 + 7436*q - 2 + 5*q**3 - 7438*q. What is 7*n(m) - 6*v(m)?\nAnswer: -2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*o = 2*o - 15, 3*o = -2*q - 1. Is (3\/q)\/((-6)\/84) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 7. Let d be s(5). Let u = 56 - d. Calculate the remainder when 3 - -1 - 0 - 69\/(-1) is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmrmrrmrmmmm. What is prob of picking 3 r?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -251759, 0, 2, -0.5?\nAnswer: -251759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 8*w**2 + 4*w. Let n be (-14)\/6*(1 + 10\/5). Let g be t(n). Find y, given that 16*y**2 + 5*y - 17 + 47 - g*y**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 45 + 6*n - 53 + 61. What is the tens digit of r(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28396 + 28396.18. Which is the closest to -1? (a) -3 (b) -6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, u: 2, p: 2, w: 4}. What is prob of sequence pwup?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h. Let v(z) = -8 - 8*z + 145 - 137. Give g(v(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 5597*y**3\/3 + 5683*y**2\/2 + 8000. What is the second derivative of p(w) wrt w?\nAnswer: 11194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 2)*(-3 + i + 3)*(1 + 1 + 0) + (-4 + 1 + 5)*(-3 + 3 + 2*i) - 20*i - 24*i - 5*i as b + f*i and give f.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.054 (b) 9 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336579.\nAnswer: 3, 151, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 597.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:32 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c = 15*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -202, -302, -402, -502, -602?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3.816, -3, 324\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -717075?\nAnswer: 717080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/3 - 9*c**2\/2 - 10*c + 18. Calculate n(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16*h - 48. Determine v(7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 386. Round a to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5029, 20447, 46233, 82387, 128909, 185799, 253057?\nAnswer: 330683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**6*z - 3*b**5*z**2 - 442*b**2*z**2 + b*z**2 wrt b?\nAnswer: 840*b**3*z - 180*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y + 0 = -86 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -649 - -710. Suppose i*p - 44 = 50*p. Solve 0 = 3*k + k + 5*f + 31, -p*f = 3*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -55. Let g be (-1 - -3) + c\/(-15). Suppose g = -3*q + 5*q + q. Solve 0 = -3*n - q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, 878, -0.3, -0.37 in ascending order.\nAnswer: -0.37, -0.3, 0.4, 1, 878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(7 - 25\/5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 + -2 - -7 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*88\/55*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0 - -2) + -14. Let y be (b\/(-8))\/(3\/8). Suppose -d + 1 = -y. Solve 3*s = d + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a6 (base 13) to base 4.\nAnswer: -210131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.95 + 3. Let p = 42 - 44.05. Let k = c + p. Sort k, 0.4, 5 in increasing order.\nAnswer: k, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29691 by -7982.\nAnswer: -29691\/7982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 126, -0.5, -4, -3\/7.\nAnswer: -4, -0.5, -3\/7, -1\/5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535397 and 402?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 201.0193 + -201. Let x = 0.02 - b. What is x rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37\/15 - -17\/15. Which is the closest to 1? (a) 4 (b) 90 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 50*d**2 + 95*d + 43. Let w be h(48). Put w, -2, 2, -7 in decreasing order.\nAnswer: 2, -2, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328686174 to the nearest integer?\nAnswer: 18130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2119)\/208 - 2*-5. Which is bigger: y or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1974, 1971, 1978, 2001, 2046, 2119, 2226?\n\"Answer: c**3 - c**2 - 7*c + 1981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = -k, 6*k - 3*k - 3*n - 6 = 0. Let t(p) = 0*p**k - p**2 - p**2 + 3*p**2. Let q(y) = 2*y**2. What is q(t(l))?\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30912 and 1920.\nAnswer: 309120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 859502 and 859502?\nAnswer: 859502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - w**3 + 7*w**3 - 3*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l**3 + 3*l + 2. What is the hundreds digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -18)*(-6 + (5 - 1)) + -29?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*p + 37648 = p, -3*p - 12571 = -d. Let j = -7505 + d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -303, 3?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.4535 + -0.4535. Sort o, -2, -35, -1.\nAnswer: -35, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k + 0*k + 6*k - 9 as d*k + i and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(5)*3)\/sqrt(12))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 - 122. Suppose q + 4*y + 6 = 0, 4*y + 9 = 1. Let t(j) = 9 - 6*j + 0*j + q. Let b(c) = 2*c - 4. Give p*b(m) + 3*t(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1152772*c. Let f(g) = g. Calculate f(r(p)).\nAnswer: -1152772*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/6 - 2*s - 3. Let x(t) = -8*t. Determine a(x(n)).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, 0.4, -70\/9, -1\/5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*p + 5*g, 0 = -g - 1. Solve -3*i = -4*d + 2*i - 45, 5*d + p = 2*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1044?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + w + 4 + 2 = 0, -v = -4*w + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 93268149\nAnswer: 5\/93268149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmk when three letters picked without replacement from wrkccbbrcrmc.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/48)\/((-154)\/66) - 666\/28.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 2:25 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.89 take away 0.147?\nAnswer: 14.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15585 + -15584.999988616. What is k rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28 - 8138\/312) + 10\/(-6). Which is the third smallest value? (a) -2 (b) 2.5 (c) 1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 329.000433 - 329. What is p rounded to 5 dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -15*p + 20. Let b(t) = -2*t + 3. Suppose 2*u + 13 = 7. Let g(z) = u*q(z) + 20*b(z). Let y(x) = -4*x. What is g(y(i))?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -b, 4*x - 4*b = 1 + 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.76 - -3.238. Let x = v - -4.44. Round x to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23374865*c**2 - 1526509*c?\nAnswer: 46749730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2297311*g**3 + 3199102*g?\nAnswer: 13783866*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -7*g**4\/6 - 1345*g**3\/6 - 3067*g**2\/2 + 9073*g\/6 + 740\/3 = 0.\nAnswer: -185, -8, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*w**2 - w + 19 wrt w?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.4. Suppose -4*v + 10*v = -342. Let i be v\/56 + 1 - (-1)\/7. What is the closest to -1 in -0.5, d, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.37 - -0.27. Let h = -0.217 + 26.517. Let o = b + h. What is o rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 2 (b) -1\/2 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - 0 - (-918)\/45. Suppose -v*y - 20 = -25*y. Suppose k - y*m = -12, -k + 5*k + 5*m - 36 = 0. Solve k*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3445601477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -573603 and 0.2.\nAnswer: -573602.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 565 - 263. Calculate the remainder when s is divided by 105.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8)*(c**7*c)\/c*c)\/((c**(-3\/8)*c)\/(c*(c*c*c*c**(-9))\/c)) assuming c is positive.\nAnswer: c**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/9 - 4*l**3\/3 + 14*l**2\/9.\nAnswer: -2*l**2*(l - 1)*(l + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -4. Let l(t) = -4*t + 1 + 0*t + 4*t**2 + y*t + 0 - t**3. Determine l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 17 = s - 2*v, -6 = 3*s - 3*v. Solve -8*f = s + 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170242332 and 120.\nAnswer: 1702423320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -323, -650, -1191, -1988, -3083, -4518?\nAnswer: -6335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 7. Let b = 89 + m. What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.58791 millilitres in litres?\nAnswer: 0.01558791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2 - 198352*o + 631730 with respect to o.\nAnswer: -4*o - 198352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/(n*n**(-6)*n)*(n*n**8)\/(n*n**(-1\/5)\/n))**11)**(-7\/2) assuming n is positive.\nAnswer: n**(-3311\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 15*p**2 + 15*p + 20. Let o be j(-14). Let r = -7 + o. Let y = -8 - -6. Which is greater: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 86*p - 624. Let x be o(-7). Which is the second smallest value? (a) 0.008 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 359081*c*y**2 - 2037*c*y - y - 4 wrt y?\nAnswer: 718162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose -w - 4*b + 48 = i*w, 5*w - 46 = -3*b. Calculate the smallest common multiple of (-1)\/8 - (-49)\/w and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 78*p + 303*p - 1612 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-9)\/(-134))*(-11 - 34). Suppose -4*q + 1609 = 3*l, -5*q - 6*l + b = -l. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = r - 15. Let k = 11 + r. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 56. Let v be o(-35). Suppose 25*c - v*c = 1436. List the prime factors of c.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -6 - (-38 + 3)) + -22\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 186*l**2 + 91*l - 185*l**2 - 91*l + 5.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 4433*g**7\/21 + 13*g**4\/6 - g**3 - 3*g**2\/2 - 6105*g. What is the third derivative of u(z) wrt z?\nAnswer: 531960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 9 - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 30\/5 + -5. Let m(x) = 6*x**l - 2*x**3 - 4*x**2 - 3*x + 4*x**3 + 4 - 7*x**3 + x**2. What is m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8) + (-97)\/2. Let k be p\/(2\/(-4)*2). What is the units digit of k + 8*(-3)\/(-6) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.6312572076 and 1.103.\nAnswer: -3.5282572076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/49 - -205\/147. Let x = 4.97 + 0.03. What is the biggest value in x, u, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*y = -386832, 889 - 857 = -4*y. What are the prime factors of b?\nAnswer: 2, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000307156 rounded to six dps?\nAnswer: 0.000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22a3 (base 13) to base 9.\nAnswer: 6605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-495 - -480) + 6222\/414?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**4\/4 + 5*b**3\/3 - b**2\/2 - b + 2. Let g(f) = f**3 + 4*f**2 + 3*f + 4. Let i be g(-3). What is l(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33057895 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*(-8)\/724. Let a = 188\/1267 - k. What is the closest to 1\/3 in 2, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l - 52*l = 832608. Suppose l = 30*h + 12*h. List the prime factors of h.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -387, -370, -331, -270, -187?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 5*d + 12. Calculate the lowest common multiple of s(-6) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 2*b - 1. Let u be p(-2). Let j be (u\/(-2))\/(21\/(-14)). Is 2\/9 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -16, -3\/4, -1\/4, 57?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3079 - 1609. Is 42 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2616 (base 8) to base 11\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012 (base 4) in base 6?\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2 - 1 + 4 - 1 + (1 - 2 + 0)*(-6 + 2 + 3))*(-b + 3*b + 0*b)*(11 - 5 + 13)*(18 - 15 + 16).\nAnswer: 2888*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15*g**2 + 25*g - 11. What is the units digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - 2*o - 36, 37*o + 40 = 10*f + 32*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yss when three letters picked without replacement from ygsysydgddggbd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*v + 12 = 0, k - 36 = -2*k - 4*v. Suppose -k + 7 = -n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1640 - -2627. Suppose -3*q + t = -5675 - c, -6668 = -3*q - 5*t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:07 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 24. Let v be 4*(774\/504 + 4\/(-14)). What is the smallest value in -0.1, s, v, 19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088876?\nAnswer: 2, 137, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uvuvuuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380 - -0.878546?\nAnswer: -1379.121454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 2, s: 2, h: 1, q: 1, l: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4)\/c*c)\/((c\/c**(-3\/8)*c)\/c))**(24\/5))**(-19\/5) assuming c is positive.\nAnswer: c**(2451\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 18 = z. Calculate the least common multiple of (-42)\/4*z\/9 and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.154 - 130.154. Let g = s - -129.92. Which is the nearest to 0? (a) g (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21300 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 947, 1150, 1355, 1562, 1771, 1982?\n\"Answer: b**2 + 200*b + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-1) - -1) + 7. Let b = 60 - -378. Suppose -k*h = b - 1102. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:36 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*z - 3 = 2*z, -2*z = -3*o - 6. Suppose 2*n = -3*g + g + 14, 2*n - 6 = 0. Differentiate -3 + o - g*c**3 - 2 + 6 with respect to c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**(-27))\/z)**(18\/5)\/(z*z**(-17\/5)*z\/z**8) assuming z is positive.\nAnswer: z**(551\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5933 (base 11) to base 3\nAnswer: -101200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -19*o**6\/6 + 3*o**2\/2 + 5. Find the second derivative of i(t) wrt t.\nAnswer: -380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36b15 (base 12) in base 4?\nAnswer: -102013001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.1 + 0.9. Let h = z - 10.1. Is h != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 6. Let d(q) = q - 1. Let l(r) = -a(r) - d(r). Let w be l(-3). Suppose -3*m + 5*c + 42 = -86, 130 = 3*m - w*c. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*q**3*t + 2*f**2*q**2*t**2 + 94*f**2*q**2 - q**3*t**2 - 13*q**3 wrt q.\nAnswer: -6*f**2*t - 6*t**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2807 + 10096. Calculate the highest common factor of 74 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/23 (b) 92 (c) -0.2 (d) 5 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/16)\/(415\/(-83)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 3. Let d be (3\/(-9))\/(n\/27). Let x(u) = 4*u - 3. Determine x(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 9467559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/60 - 121*y**4\/12 + 2*y**2 - 271*y. Let h(o) = -2*o**2. Calculate a(h(j)).\nAnswer: 4*j**4 + 484*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((4 - 5)\/(-1)). Solve d*c + 8 = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 0*o**2 - 3*o**2 - 348*o**3 + 5.\nAnswer: -348*o**3 + o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 + w + 5. Calculate p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 20. Suppose -3*c + u + 15 = -u, -u + z = 2*c. Solve 3*p + 12 = c*a, 5*p - 2*a + a = -12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13052569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0*g - 3*g**2 + 2*g**2 + 3*g + 4. Suppose 190 + 11 = 16*u + 41. Let w be d(u). What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -74*(-6 - 33\/(-6)). Let y = o + -35. Let b(d) = d + 1. Let j(q) = 2*q - 4. Let t(l) = -b(l) - j(l). Let s(c) = c**2 + c - 1. What is y*s(a) + t(a)?\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203 - -199. Which is the nearest to -2\/3? (a) n (b) -5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.38299 litres to millilitres.\nAnswer: 64382.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/10)\/((-8)\/20). Suppose -11 + 86 = l*k. Suppose -2*h - 3*h - z = -32, 4*h = -z + k. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 3869887.\nAnswer: 11609661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13522 divided by 76.\nAnswer: 6761\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 623636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2037*a - 2041*a + 4082*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -12 (c) 14 (d) -16\/7 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-326)\/(-10) + (-20)\/(-50). Suppose -5*f + k - 8 = 0. Suppose f = -a - 2*o - 3*o, -5*o = -5*a + 35. Solve y = -4*y - a, -4*b = 3*y + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h + m + 3*m, h = -4*m + 4. Let t = h - 4. Solve t + 16 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*h = 1, -1279*w = -1275*w - 3*h - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*c**3*y**2 - 8*c**3*y - 3*c**3 - 165*c**2 + 2*y wrt y.\nAnswer: 22*c**3*y - 8*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/37)\/((d**(-28)\/d)\/d))\/(d*d**18)**(-27) assuming d is positive.\nAnswer: d**(20093\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + -37 - (-24 + 2 - -15))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + j - 3*j = 86, -2*j - 60 = -2*o. Let i = o + -14. Suppose -4*h + 104 = -d + i, -4*d = -3*h + 69. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2, -3*d + h + 26 - 12 = 0. Put d, -19, -3 in descending order.\nAnswer: d, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39.45 and 0.0416.\nAnswer: -1.64112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*h = 0, 0*u - 2*h + 2 = 4*u. Let p(z) = z**2 - 19*z + 51. Let i be p(16). Let v = 7 - 12. What is the nearest to u in i, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 20 (b) -2\/13 (c) -5 (d) -512 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 151, 212, 297, 406?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 11:23 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-260)\/20 - -14)\/((-1)\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/2*6100\/(-9150).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2312 - -1147?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 1\/20*y**5 + 0 + 5\/6*y**4 - 6*y - 4*y**2 - 1\/6*y**3. Let z be h(-10). Solve 2*k + 3*s + 0*s = 15, z*s = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87177546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22385 is divided by 1334.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1600 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/2300*5*240\/(-270)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35717*z - 2*z**2 - 35717*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2895966543 - 4*n**3 + 2895966543.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 999388*q**2 + 1998770*q - 999384.\nAnswer: 2*(q - 499692)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 26*m - 6 = 0. Let j be (11\/33)\/(m\/(-12)). Let z(a) = -4*a**3 + a**2 - 1. Let w be z(1). What is the nearest to 2 in j, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 59.8. Let f = -0.3 - -5.3. Let o = f - c. Is o smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7056, -23510, -50930, -89310, -138644, -198926?\n\"Answer: t**3 - 5489*t**2 + 6*t - 1574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, 11180, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-1) - (75 + -82). What is the hundreds digit of 16269\/27 + 8*u\/54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69553005 by 4129.\nAnswer: -16845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(20)\/sqrt(4) + 0) + -3)*1 + -5.\nAnswer: -18*sqrt(5) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246.1005 - 246. Round w to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-26) + 60\/(-390). Which is smaller: t or -1\/1964?\nAnswer: -1\/1964","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 774*q = 782*q - 5128. Let y = 673 - q. Calculate the highest common divisor of y and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5215*j - 73020. Calculate y(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.828 plus 1293.6553?\nAnswer: 1398.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -7)\/(104\/8 - 20). Let r = 2.99 + 0.01. Which is the third smallest value? (a) -3 (b) 1\/10 (c) p (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(5*(sqrt(108) + -1))**2*-3.\nAnswer: -24521 + 2700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3695682 and 0.4.\nAnswer: -0.14782728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:49 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -8 + 11 + (-126)\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/((-720)\/27))\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -697, 8, -19, -4 in descending order.\nAnswer: 8, 6, -4, -19, -697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -187, 5, 0.2, 18\/211, 2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 75\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -5 in descending order.\nAnswer: 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11885936.\nAnswer: 2, 571, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 2*x - 1)*(1346*x + 1314*x + 429*x) in the form y*x + t*x**2 + g and give t.\nAnswer: -6178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -91.\nAnswer: -9\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -27842890 to the nearest ten thousand.\nAnswer: -27840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 514099215 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 33*d - 169. Let l be n(5). Put l, 0, 2, 1, -82 in descending order.\nAnswer: 2, 1, 0, l, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.7 in 0.3, -0.4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 3*b + 1. Let f(a) = 2*a**2 - 14*a + 6. Determine f(l) - 2*s(l).\nAnswer: 4*l**2 - 8*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 888, 1428, 1966, 2502, 3036, 3568, 4098?\n\"Answer: -v**2 + 543*v + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6075 + -263.0925. What is q rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -8. Let c(w) = -7*w + 2. Let l be c(-5). Suppose 6*b = b + 4*u - l, -44 = 4*b + 4*u. Is y at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10709 - -11?\nAnswer: -10698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 925819569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 5*o**2 + 2*o - 23. Let i be d(-6). Let z be 325\/100 + ((-2)\/i)\/8. Which is the third biggest value? (a) 1\/3 (b) z (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000992 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 21*i + 22*i + 14*i + 6*i.\nAnswer: 63*i + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.63 + -4.65. Let f = j + -0.32. What is f rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 44, 73, 110, 155?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-252))\/((-6105)\/1295))\/((-20)\/(-15))?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4598 - 792 = -11*r. Suppose -98*b + 88*b + r = 0. Let z(s) = s**3 + 6*s**2 + 4*s + 2. Let g be z(-5). What is the highest common factor of b and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77539*f*v**2 + 34149*f + v + 1 wrt v.\nAnswer: 155078*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26356726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 28 = 4*z, 0 = -4*z + 5*f + 2*f - 4*f - 28 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29 - 0.81. Let q = 3.1 + i. What is the second biggest value in 2\/15, q, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 2*k - 4*k)*(2 + 2 - 3)*(-1929 - 2740 + 1343) to the form a + j*k and give j.\nAnswer: -3326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 61*k - 84. Let q be a(-29). Let r = 5 - 8. Sort 3\/5, r, q.\nAnswer: r, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -2*a, -3*a - 1 = v - 6. Let b be (-16)\/6*(-3)\/a. Solve b*r + 3 - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - (-4)\/8. Let o be (0 + l)\/((-3)\/(-24)). Suppose -5*a + 14 = -3*u + 1, 0 = -4*a - 4*u + 4. What is the highest common factor of a and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**6*m + 416*h**5*m - 45*h**2 - 5*h*m - m wrt h.\nAnswer: 120*h**3*m + 24960*h**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (45 - -7))\/((-6)\/48*4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87373610 divided by 43686805.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138152064 divided by 1354432.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 2081353?\nAnswer: -2081353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/136689 and -91\/5094?\nAnswer: 820134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10506*g + 1061108. Determine n(-101).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 8:21 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -70074, 0.1, 0.3, 2\/7, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/4*(-4)\/84?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 15. Let r be g(-6). Let u(o) = o**2 + 4*o. Let z be u(r). Suppose 2*v = -2*w + 74, -w + 6 = 3*v - z. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 6*a**2 - 10*a + 47. Let x be p(-8). Which is bigger: 8\/19 or x?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 35*c - 164. Let s be a(29). Suppose -s - 6 = 4*k, 2*r - 14950 = -3*k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 11*h - 18. What is the remainder when f(-8) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104389.120003 + 104389. Let t = -0.12 - b. What is t rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/6 + (3 - 2). Let x = 35 - 103\/3. What is the fourth biggest value in -5, z, x, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 16*q**2 + 22*q + 154. Let a(m) = m + 7. Give -88*a(w) + 4*s(w).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7239608 divided by -1809902\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -734699.\nAnswer: -734698.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82*(6\/30)\/((-16)\/(-192680)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16e786 (base 15) to base 13.\nAnswer: 2cc244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3361823?\nAnswer: 3361823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 493 = -1739. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 118. Which is the nearest to 0? (a) 0.1 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, c: 5, k: 1, j: 3, o: 1}. What is prob of picking 1 p, 1 c, 1 o, and 1 k?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22, 47, 92, 163, 266, 407, 592, 827?\n\"Answer: x**3 + 4*x**2 + 6*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 4*t**2 - 6*t - 8. Let g be u(-5). Is 22 a factor of (-5 + (-704)\/3)*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 12. Let a be m - (16\/6 + (-5)\/(-15)). Solve 1 = 4*i + 5*y + a, -2*i = 4*y + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/6 + (88\/(-16))\/11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 54.9939\nAnswer: 60.49329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 139000?\nAnswer: 1251000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3859, -3860, -3857, -3850?\n\"Answer: 2*y**2 - 7*y - 3854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, 3\/5, -2\/7, 53.7?\nAnswer: 53.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*s - 21*s = 420 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4103*v = -9763*v - 616940 for v.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h**2 + 2. Suppose 4 = t + t. Let r(w) = 5*w**2 - 1. Let m(o) = t*k(o) + 5*r(o). Find the first derivative of m(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b. Let a be g(-1). Suppose -a*v + 10 = y, -v - 3*v = -2*y - 22. Let r be (-1)\/(-6 + 1 + -1). Sort 3, y, r in ascending order.\nAnswer: y, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*o + 14 = 4*o, -5*b + 73 = 2*o. Solve b = 2*a + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 + -120. What is the greatest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:15 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j. Suppose 2*x + 37 = 3*x. Let i = -23 + x. Let y(b) = -8*b + 7*b - i*b. Calculate -13*n(z) + 6*y(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1422 + 1451 - (-2 + -11).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 4*f + 1)*(-2*f + 5*f - f) - 2*f + 3*f**2 + 2*f to u*f + g*f**2 + s and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56366709 to the power of 1\/2, to the nearest integer?\nAnswer: 7508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**3 - 3*b**3 + 1033*b**2 - 1037*b**2 + 4*b + 2 - 3. Let q = -4 - -7. Let r be p(q). Let g(o) = -o**3 + 4*o**2. What is g(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -4*i**5\/15 - 450*i**4 + 5408*i**3\/3 - 8116*i**2\/3 + 1804*i + 664. Factor a(g).\nAnswer: -4*(g - 1)**3*(g + 1353)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 249 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**3 - 2*a**2 + a. Suppose -2*f + 4*i - 16 = 0, f - 15 = -5*i - 2. Let u be 0 + -2*1\/f. Calculate the smallest common multiple of w(u) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:57 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46, -48, -52, -58?\n\"Answer: -z**2 + z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*a - 2 - 24*a - 74*a.\nAnswer: -237*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -19. Suppose -4*y + 2*y = -b*q - 234, y - q = 114. What is the lowest common multiple of 2 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-2\/63)\/p)))\/(p*p\/p**4) assuming p is positive.\nAnswer: p**(61\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 39 = -3*b. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11808 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: Work out 57342 + -0.2.\nAnswer: 57341.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 40*g - 8. Let m be b(4). Let u = m + -56. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*h + 50 - 66, 4*q + h = -12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x + 6. Let u be s(-6). Calculate the common denominator of (-119)\/u + (-45)\/6 + 6 and 95\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdpr when four letters picked without replacement from {d: 2, v: 1, p: 2, s: 1, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 3*j**2 + 5*j - 8. Let v be h(4). Let u(p) = -p**3 - 4*p**2 + 2*p + 5. Let a be u(v). Is 1*(-2 - a - -30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, b: 6, e: 4}. Give prob of sequence bffe.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32800297 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -505, -2\/7, 1868\/5 in ascending order.\nAnswer: -505, -2\/7, 1868\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from kkkkjkkkjkkkkkkjkjk?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/2)\/r)\/r)**15)**(-22)\/(((r\/r**(-2\/7)*r)\/r)**(-34))**44 assuming r is positive.\nAnswer: r**(16929\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34826482049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.5 - 20.7. What is the fourth smallest value in 3, -2, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 51, 88, 141, 216, 319, 456, 633?\n\"Answer: f**3 - f**2 + 23*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 - 3 = 0. Factor 8*x**5 + 6*x**3 - 18*x**4 + 6*x**3 + 2 - 2*x**2 - a.\nAnswer: 2*x**2*(x - 1)**2*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204190612.\nAnswer: 2, 257, 307, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20558 divided by -541\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/(-138) + ((-30)\/9 - -3). What is the biggest value in 0, -2\/5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/9660 and 29\/20126904.\nAnswer: 2314593960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20385447 and 38262.\nAnswer: 2733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 19 = -5*o, 2*o - 8 = -0*o + q. Let h be (-7 + 4)*-1 + (-6 - -4). Let t = 4 + -8. Sort o, h, t.\nAnswer: t, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 68\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 244*x + 7. Suppose 0 = -5*c + r - 5, 3*c = r - 25 + 24. Let m(z) = 81*z + 2. Let d(a) = c*j(a) + 7*m(a). Let n(p) = -p. Calculate d(n(y)).\nAnswer: -79*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*q**2 - 94*q**2 + 21 - 99.\nAnswer: -202*q**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/15 - 1\/(-3). Calculate the highest common factor of 6 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -10. Let i be (c + 2 - -2) + 286. Is i - (-5 - (-2 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {t: 1, e: 1, o: 4, d: 1, z: 6, i: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = 5*j, -j + 3*j + 2 = 0. Suppose -a*s + 15 = -0*s. Solve 3*l - 4*h + s*h = 11, 2*l = -3*h + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 330\/20*(0 + -2)\/(-1). Let j be 2\/8 - (1 + l\/(-12)). Suppose j*i = 40 - 8. Calculate the remainder when 63 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 31*w + 21. Let p be n(-16). Which is the third biggest value? (a) -1\/4 (b) p (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.10906 * 8.732\nAnswer: -0.95231192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 4*u**2 - 5*u + 5. Let w be b(-5). Suppose -3 = -w*q + 17. What is the least common multiple of 9 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f + 4. Let p be c(4). Let m = -3468 - -3439. Let g = m - p. Solve 2*d = 3*w - g*d - 2, 3*d - 22 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13570524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + -2 + (-75090)\/20. Let b = n + 161451\/43. Find the common denominator of -7\/10 and b.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r - 8 = 0. Solve -2*c + 3 = 3*l + c, 4*c = -r*l + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83891788 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 1 - 14 + 3*w**3 + 17 to a*w**2 + g*w + m + j*w**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9460498 rounded to the nearest 10000?\nAnswer: 9460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 1606905*t**2 - 16069425*t - 40173875.\nAnswer: 5*(t - 321391)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 57, 92, 135, 186?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgg when three letters picked without replacement from gggggggggqgggqgggg?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -728. Let h(u) = -u**2 + 16*u - 21. Let y be h(10). Let a = 65 - y. What is the greatest common divisor of a and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*t**4\/5 - 2484*t**3\/5 + 1248*t**2 - 20*t = 0.\nAnswer: 0, 1\/62, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 24*y**3 + 84*y**2 + 86*y + 6. Let s(p) = p**3 + p**2 + p - 1. Let h(x) = 2*a(x) - 20*s(x). Factor h(t).\nAnswer: 4*(t + 1)*(t + 4)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4747, 4751, 4757, 4765?\n\"Answer: q**2 + q + 4745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (2 - -7 - (29 - 28 - 45))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 68*t - 5. Is w(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -25*m**3 - 9*m**2 + 2*m - 47. Give c(6).\nAnswer: -5759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*o - 6 = -3*o, -5*y + o + 6 = 0. Let n(u) = -3*u**3 - 2*u**2 + 1. Let m be n(y). Sort 2, -1, m, -6 in descending order.\nAnswer: 2, -1, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 + 12*b**2 - 201*b + 2. Let d(r) = -2*r**3 - r**2 - 4*r - 1. Give c(n) + 2*d(n).\nAnswer: -n**3 + 10*n**2 - 209*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.192 (b) -1\/3 (c) 3 (d) -2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18116 (b) 36 (c) -1\/3 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 5*w - 10 = 0, -3 = 3*w. Suppose p*f + 15 = 0, 0 = -n + 2*f - 2 + 12. Solve 3*l - n = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.537548635 rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*v - 18 = 0, 283*g = 285*g + v + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1866735 + -1866770.9999926. Let c = -125 + 89. Let d = c - q. Round d to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81534 divided by -642.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 528.76 from -14347381.\nAnswer: -14347909.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 45 = -101*s + 99*s, 3*g + 84 = 5*s. Solve 10*m + 5*n + s = 8*m, -5*m - 28 = 3*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + (sqrt(99) - -6*sqrt(99)*-2)))\/(5*(sqrt(9) - sqrt(36)) - sqrt(9)))**2.\nAnswer: 1331\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22*-308.3\nAnswer: 6782.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -768.8591 rounded to the nearest integer?\nAnswer: -769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808.2503mm to nanometers.\nAnswer: 808250300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 19. Let b be 2*(n\/2 + 1). Suppose -2*l + 6*l - 5*y = -b, -18 = -4*l - 2*y. Let q(i) = -i**3 + 4*i**2 - 2*i - 1. Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 e when three letters picked without replacement from {j: 3, f: 2, e: 6, n: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - ((-192)\/16 + -116). Which is greater: 32 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19428044681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 75*v - 1. Let r(p) = 13*p**2. What is w(r(g))?\nAnswer: -338*g**4 - 975*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)*z**6)**(-35)\/((z**2)**(-8\/13)\/(((z\/(z*z*z*z**7*z))\/z)\/z**(-3\/5))) assuming z is positive.\nAnswer: z**(-15546\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8580 - -15\nAnswer: -8565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 2*y + 1. Let r(v) = v - 3. Let u be r(6). Suppose -o - u - 2 = 0. List the prime factors of m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 150, 200, 264, 348, 458, 600?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmgxxxmg. Give prob of sequence gxmx.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4764, 9529, 14294, 19059, 23824?\nAnswer: 28589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-819835684)\/4026 + (-60)\/(-180). Let l = y + 203635. What is the common denominator of -34\/7 and l?\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 4*y + 4*z - 48, -5*z = 20. Let h be 450*-200*y\/(-12). What is h rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -44096*h**2 - 371*h - 371. Let t(y) = -1069*y**2 - 9*y - 9. Let l(c) = -9*i(c) + 371*t(c). Let p(u) = -11*u**2. Determine p(l(s)).\nAnswer: -772475*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1091221677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 21*a**2 - 5*a - 6. Is l(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 17*a - 13. Let s(n) = -2*n**2 + 14*n - 12. Let g(z) = -5*b(z) + 6*s(z). Let m(r) = -r**2 - 1. Determine -g(k) + 5*m(k).\nAnswer: 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -3\/4, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*r**4 - 152*r**3 - r**2 - 4*r - 1482716 wrt r?\nAnswer: -36*r**3 - 456*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-70))\/(2869\/9060)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - l = -34 + 203, -2*c + 314 = 4*l. Let v = c - 66. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7\/2. Let f = 8 - 5. Find q, given that n + 1\/2*q - 1\/2*q**2 - 1\/2*q**f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 3)*(7 - 7 - r**4) + r**4 + 14*r**4 + 0*r**4 as n*r**3 + s*r**4 + k*r + i*r**2 + v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23378192, -46756384, -70134574, -93512762?\nAnswer: -116890948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81968 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99, -162, -197, -198, -159?\n\"Answer: w**3 + 8*w**2 - 94*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 4*q**2 - 2*q**2)*((4 + 0 - 3)*(-5 + 5 + q) + 0 + 0 - 3*q - 82 + 82 + 58*q).\nAnswer: -168*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 2*t**2 + 1. Let n be w(2). Suppose 8*i + n = 3*i, 0 = -5*p + 5*i + 65. What is the smallest common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5226321, -5226316, -5226311, -5226306?\n\"Answer: 5*d - 5226326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(1031 + 1054 + 15673*c - 2085).\nAnswer: 15673*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -1. What is the first derivative of 6 + 5*d**4 + 7 + f wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l + 5. Let b(c) = -2*c - 2. Let v be 4\/(-30) - 730\/150. Calculate v*b(o) - 2*n(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/268, 1789\/2, -0.2 in descending order.\nAnswer: 1789\/2, 3\/268, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116.9 + -93.9. Which is the fourth smallest value? (a) x (b) -3\/7 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 14*w + 36. Let l be m(-16). Suppose x = -1 + l, -2*v - 3*x = -6883. Suppose z + 6*z - v = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4*o = -21*o. Solve 2*u - 3*x - 7 = o, -2*x - 7 = -5*u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 4:27 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14013741761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 2 + 3*v**2 - 2145*v + 13492*v + 2.\nAnswer: v**3 + 3*v**2 + 11347*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Let r = 43 + -41. Let m = 7 - r. Which is the smallest value? (a) g (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/3, 1\/4, -50869, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 5*d**2 + 7*d - 6. Let q be f(6). Let c be 0\/(-2 + q + 0). Suppose -3*k = -3*p, -k - k = 4*p. Solve p = -3*o - c - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p + 14*p + 12 - 2 + 18*p.\nAnswer: -2*p + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221260339 divided by 83779.\nAnswer: -2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -369, -368, -367, -366?\n\"Answer: f - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-3)\/(-12) - 14\/(-8)). Suppose a = -b - 0 + 3. Solve 0 = -2*k - 0*k, -3*c = b*k - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27623 + -1.\nAnswer: -27624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/10105794 and 70\/29931.\nAnswer: 111163734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 5. Let s(k) be the second derivative of -2*k**3\/3 - 2*k**2 - k. Let i = -10 - -4. Let f be (80\/5)\/4 - 11. Determine f*s(z) + i*t(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 20*s**2 + 4*s + 20.\nAnswer: -4*(s - 1)*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 3. Let a be w(-6). Let s = a + 34. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -2) + (28 - 0). Solve -5*u = -0*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 137*w - 71*w - 67*w + 6. Calculate y(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(13\/4))**(-3\/13) assuming a is positive.\nAnswer: a**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10292 and 16517?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dced5 + 3?\nAnswer: dced8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 3:37 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 37. Suppose l = 5*i - 428, 2*l = g*i - 3*l - 355. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 21*v**3 + v + 5*v.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*i**2 + 72*i**2 + 67*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 66. Let n = 40.00532 + j. What is n rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-1 + 6 - 3)*(-6 - 6 + 9)*(318 - 11*x - 318).\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) 1 (b) -0.3 (c) -3\/13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 1828 = 8*a. List the prime factors of a.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31 and 5871364926882.\nAnswer: 5871364926851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 53. Sort -4, 1, n in decreasing order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 9786?\nAnswer: 48930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215623 and 15941.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u, -3*u + 562 - 39 = 4*t. Calculate the remainder when 488 is divided by t.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffucccrfcuuucuurucc. What is prob of picking 1 r and 1 u?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8938286578*y**3 + 8938286581*y**3 + 2*y - 2*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4232189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 15, r = -0*r - 3*x - 21. Let h(m) = m**2 + m + 2. Let u be h(0). Let y be ((-15)\/9)\/(u\/r). Solve -3*v = -v + b - 7, y*b = -5*v + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465664 (base 7) in base 6?\nAnswer: -4152042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4921 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 20)*(1 + 7*v**3 - 1).\nAnswer: -175*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v\/(v**(-1\/3)*v*v))\/v))*v))\/(v*v**(-2\/9)))\/(v*v*(v\/(v**0\/v))\/v*v*v)**(-40) assuming v is positive.\nAnswer: v**(1808\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 3. Let w(v) = v + 1. Let l(j) = -h(j) + 3*w(j). Let g(m) = 20*m**2. Calculate g(l(c)).\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 953, -1\/6, 3, -10\/17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**2. Let k(s) = 149853*s**2 + 2090*s. Let u(z) = -215*z**2 - 3*z. Let v(m) = 3*k(m) + 2090*u(m). Calculate v(r(x)).\nAnswer: 10241*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/101320 and 29\/139315.\nAnswer: 1114520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 45037302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143451 is divided by 131.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460560 and 46056.\nAnswer: 460560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5042 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from fvtuucfvfvw.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Suppose 2*z - p*n - 188 = 0, -z - 3*n + 21 = -53. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 - 71 - 416 = -73*z. Suppose 0*p + 6 = l + p, 4*l - 3*p + 11 = 0. Calculate the remainder when z is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 415*d**3 + 25*d**2 + 25*d - 145. Let i(x) = -52*x**3 - 3*x**2 - 3*x + 18. Let t(y) = -25*i(y) - 3*o(y). What is the derivative of t(j) wrt j?\nAnswer: 165*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -1, 4, -7, 7 in descending order.\nAnswer: 7, 4, 1, -1, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938*t + 190883 = 3787*t for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -360566.917 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18840587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -8 (b) 2\/13 (c) 0.9 (d) -6 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22234582196 minus 0.4?\nAnswer: -22234582196.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0 - 3 + 1 - 14*q. Suppose 0 = 19*f - 6*f + 26. Let b be k(f). What is the greatest common factor of b and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3479 and 5467?\nAnswer: 38269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 11*i + 48. Let f = 8 + i. Let g(b) = -b**3 - 5*b**2 - b - 7. Let c be g(-5). Sort c, f, -5 in decreasing order.\nAnswer: f, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43472336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + (-2 - -3). Let p(f) = 57 - 110 + 62 + f**3. Calculate p(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 + 13*b + 9. Suppose 8*f - 3*f + 45 = -3*g, 4*g = -5*f - 55. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145026 at most 725124\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*(-70)\/(-40)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 5*f + 3*b, 146491*f - 12 = 146494*f + 4*b for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(135) - sqrt(135)*1))\/(sqrt(63)\/sqrt(63)))\/((sqrt(45) + (sqrt(225) - (sqrt(225) - 2*sqrt(225)))\/sqrt(5))\/((1*sqrt(63))\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5*3\/45)\/((-115)\/30). Put 2\/11, q, -0.5 in descending order.\nAnswer: 2\/11, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101111111100 - -1101000?\nAnswer: 1010110001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.212074 - 0.2137. Round k to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v. Let x be g(-1). Suppose 2*y + c - x = 0, 2*y = 2*c - 0*c + 10. Suppose -8 = -a - y*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 1353.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzgzg. Give prob of sequence ggz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**3 - 4. Let x(r) = -r**3 - r**2 - 7*r - 11. Let y be x(0). Let h(q) = 18 - 6*q**3 - 7 - 17*q**3 + 0*q**3. What is y*o(f) - 4*h(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15, 0.2, -1\/109, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t = 47*t + 4*h + 91008, 91044 = 4*t + 2*h. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.512 - -4.512. Which is the smallest value? (a) 0.39 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16935742 to the power of 1\/2, to the nearest integer?\nAnswer: 4115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:48 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {e: 4, u: 10, h: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75474 > 75471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -1\/3*a**3 + 40 + 16*a**2 + 10*a. What is the hundreds digit of l(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 13*h**2 - 2*h - 194. What is m(0)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4789.608 + 0.21.\nAnswer: -4789.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*z - 171*z + 482*z - 148*z - 433*z**2.\nAnswer: -433*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1763 + -3623\/2. Let q = 2083799\/1035 + -6040\/3. Let c = q + 94193\/8280. What is the common denominator of c and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885823 minus 6266?\nAnswer: 879557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10*o**2 - 12*o. Let q(l) = -12*l - 1153. Give q(g(n)).\nAnswer: 120*n**2 + 144*n - 1153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 44. Suppose 33 = -5*g + x*g. What is the lowest common multiple of g and 2*7*100\/40?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**2))**(5\/19)\/(h**(-5\/3)*h*(h*h*h\/((h\/h**(4\/9))\/h))\/h)*(h**8\/(h\/h**(1\/12)))**(-5) assuming h is positive.\nAnswer: h**(-25801\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 15) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66\/19 - 585\/152. Let f be (-912)\/288 - 10\/(-6). Let h = -6 - -8. Which is the biggest value? (a) f (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -21. Let f(i) = i**2 + 7*i - 3. Let y be f(t). Suppose 0 = -y*q + 539629 + 135371. What is q rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = k + 1. What is the lowest common multiple of 4 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21.642 times 4\nAnswer: 86.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 3, h: 1, a: 1, f: 1, l: 5}. Give prob of sequence aehl.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 13*m + 38. Let g be q(7). What is the third smallest value in 5, 1\/3, 2\/11, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 1 (c) -0.6 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - 2*sqrt(204))*1)\/(sqrt(12) + sqrt(300) + sqrt(300)*2 + sqrt(12)).\nAnswer: 2*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 6*d - 7. Let r(s) = s**2 + s + 1. What is -2*i(t) - 14*r(t)?\nAnswer: -10*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 6*t. Let l be y(5). Let v(p) = p**3 + 5*p**2 + 2*p - 2. Let x be v(-4). Let c = l + x. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1283, 7331, 13377, 19421?\n\"Answer: -a**2 + 6051*a - 4767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7186836496.\nAnswer: 2, 7, 17, 23, 164113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:33 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104 (base 5) in base 6?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p - 412. Let a be x(0). Let y be (-18 + 9)*548\/6. What is the tens digit of ((-3)\/6)\/(-2 + y\/a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1524, -1523, -1522?\n\"Answer: l - 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24673 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025144525 to 7 dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1239619079 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -45. Put 0, -4, -2, l in increasing order.\nAnswer: -4, l, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3590 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*l**2 - 639*l**2 + 1248*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.004, 1, -2\/3, -1, -67413 in increasing order.\nAnswer: -67413, -1, -2\/3, -0.004, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*(-7 - -10). Let b be 0 - n - -22 - 1. Let p be (-2 - 27\/(-6))*b. What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17137, 37574, 58011, 78448, 98885, 119322?\nAnswer: 139759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89979526 divided by -13?\nAnswer: -6921502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*c, -4*b + 25*b - 10*b + 2*c = 12*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**2 + d**3 + 13*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32570600 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from hfffhffhfhfffffffff.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -43878\/7, 0.5, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {m: 6, e: 1, y: 3, i: 8}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -c7b981 (base 13) to base 16\nAnswer: -476e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 + -125. What is the remainder when 69 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -245*u + 46*u + 507 + 3871 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, 0.5, 0.2, 5\/2, -148?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/8 and -71\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, h: 8, i: 4}. What is prob of sequence phph?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 4. Suppose -y + 2*z = -6*y + 16, 3*y - 5*z - 22 = 0. Suppose 86 = 5*q - 2*s, -5*s - 39 - 23 = -y*q. Calculate the highest common factor of q and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*v - 4)*(-3*v**3 - 3 + 3) - 1402*v**3 - 177*v**4 + 1402*v**3.\nAnswer: -171*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1216) + sqrt(1216)*1 + 3)*-1)**2.\nAnswer: -32*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.05955535.\nAnswer: -0.17866605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 + (-16)\/(-5). Let q(m) be the first derivative of m**2\/2 + 2*m - 1. Let r be q(x). Solve -u + 2 = -2*j - 3, -5*u + 15 = -r*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*n - 259 = h + 146*n, 255 = -h + 4*h + 3*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -3)*4\/(-6). Let x = 2 - r. Suppose 0 = -l - x*l + 6. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k - 81 = -35*k - 3*w, 3*k = -w + 47. What is the smallest common multiple of k and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 34 (b) 0 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from urtjzvj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8*-23\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428373799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23321302301 (base 4) to base 15\nAnswer: -419805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452507 is divided by 4151.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*t**2 + 2*t - 1 + 0 + 0 + t**2 + (5*t + t - t)*(-19 + 19 - 3*t) to the form o*t + g + k*t**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(7) + 0)*1.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2\/9 - (-5 - (-358)\/72). What is the fourth biggest value in 5, 0.34, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5*r**2 - 229*h**4*r**3 + 143*h**2 - 14*h*r**3 wrt h.\nAnswer: -60*h**2*r**2 - 5496*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (0 - 3) - 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -39*u + 57*u. Solve 4*x + 13 = -u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.284 to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j\/(j\/j**(2\/121))*j))\/j))**(-36\/5)\/(j**(-1\/8)\/j**(8\/7)) assuming j is positive.\nAnswer: j**(-448949\/33880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -455*t + 41 + t**3 + 55\/2*t**2. Let d(i) = i**2 + 28*i - 227. Let u(j) = -10*d(j) + 4*w(j). Factor u(g).\nAnswer: 2*(g - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -105*b - 622. Calculate s(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(57) - sqrt(57)*-2*1)\/(sqrt(75) + 1*(sqrt(75) - -1*sqrt(75)))*1.\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*(5 + 8\/(-2))*1. What is the greatest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.14 + 0.14. Which is the closest to -1\/4? (a) -5\/3 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(13)*6 + (6*sqrt(1573)*2)**2.\nAnswer: -30*sqrt(13) + 226512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**5 - 31*n**4 + 49*n**3 - 21*n**2 - 11*n + 8.\nAnswer: (n - 1)**3*(2*n + 1)*(3*n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((189\/216)\/(1\/2))\/(7\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q*q\/q**6))*q**(1\/2)*q*q**(-2)\/(q*q\/(q*((q\/q**(-1\/5))\/q*q)\/q)))\/((q**0\/q*q**(-2\/17))\/(q**(-4)\/q*q\/q**(2\/5))) assuming q is positive.\nAnswer: q**(-1629\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1500 + 1578. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 9*n**2 - 35*n + 166*n.\nAnswer: -9*n**2 + 131*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48021 is divided by 1549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24733967, -49467947, -74201927, -98935907?\nAnswer: -123669887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 926 - 402. Let t be (1 - 5)\/(-4) + y\/(-516). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 38*x - 40. Let g(c) = 3*c + 1. Calculate 12*g(m) - r(m).\nAnswer: -2*m + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + g + 0 - 6)*(-3052 + 609 - 745 - 1437 - 3347).\nAnswer: -7972*g + 23916","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7319 + -7350. Sort -5, 2, -16, x.\nAnswer: x, -16, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(189))\/((sqrt(9) + sqrt(144) + sqrt(9))*-5))\/((sqrt(847) - 4*sqrt(847))*4*5).\nAnswer: sqrt(3)\/19800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7406692 and 30204.\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecececeeeeeecccc. What is prob of picking 3 c?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 109069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 277.2876m?\nAnswer: 0.2772876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*v - 1066*v**3 + 204*v - 103*v.\nAnswer: -1066*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.082 - -0.118. Which is the closest to 2\/11? (a) -2 (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/360 - o**5\/90 + o**4\/72 + o**3\/9 - 2*o**2. Factor x(d).\nAnswer: -(d - 1)*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 2430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + k - 33 = -0*k, 0 = -3*r + 4*k + 120. Let v be 4\/18 + 232\/9. Let y = r - v. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 531*k**2 + 75735*k + 1365525.\nAnswer: (k + 21)*(k + 255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let j(p) be the third derivative of -110*p**2 + 5\/4*p**4 + 0 - 1\/3*p**3 + 0*p. Give j(x(y)).\nAnswer: -30*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1768 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 260*w + 255.\nAnswer: 5*(w - 51)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 100 = 5*m, 42*m + 961 = 460*y + 459*y - 920*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 6, -499 + 72 = -3*r + 2*x. Let j = -68 + r. Let n = j - 58. Calculate the highest common divisor of n and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52888 divided by 4.\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**2 - 3942832*j - 43371636 = 0.\nAnswer: -11, 985719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1148 - -151. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 46 = -48. Suppose 0*j - 4*x - 20 = -l*j, -j - 5*x = 11. Solve -j = r - 0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 74, -874, -3862, -9910, -20038, -35266?\n\"Answer: -170*w**3 + 242*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from pszzsozozoccoozc.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = 4*a + 2*y, 0 = 5*a - 2*y - 12. Suppose v = -0*v + a. Find the third derivative of 0 - f**4 + v*f**2 + 0 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 31*n**2 + 31*n - 211. Give v(-30).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79171.80413966 and -0.5.\nAnswer: 79171.30413966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 + 40*b**2\/3 + 254*b\/9 - 124\/3.\nAnswer: -2*(b - 62)*(b - 1)*(b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxel. What is prob of picking 1 e and 1 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 < 57929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/20 + 7*u**4\/6 + 5*u**3\/6 + u**2 + u. Is z(14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534420 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 61. Solve -2*o = -0*o - j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*d + 3*r - 1, 5*d - 30 = -2*r. Let h be ((-30)\/26 + d\/26)*-5. Let x(a) = a**2 - 3*a - 1. Calculate x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3614 = -2*h, -10*h + 9*h + 4*a = -1805. What are the prime factors of h?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -y + 31, 16*h = 1201504*y - 1201506*y + 92 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1143464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-11\/2))\/u)\/u)\/u**(-6\/29))\/(u**(-1\/2)*u)**(-1\/34) assuming u is positive.\nAnswer: u**(-12381\/1972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/12 + 7*o**3\/6 - 7*o**2. Let h be y(-6). Let u = 7 - 4. Put u, h, -3 in descending order.\nAnswer: u, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 + 129*k**3 - 1635*k**2 + 4731*k + 6498 = 0. Calculate k.\nAnswer: -1, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/25)\/((-54)\/(-30)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/33)\/((-2)\/(-6)). What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13343720 and 26800.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 18 = 0, -2*l - 1500 = 3*v + 1507 + 1497 - 4520 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a86 + 1?\nAnswer: -1a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*5288\nAnswer: -2115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7066 - -7078. Solve 806 - 758 = -l*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 10*l + 8. Let v(f) = -4 + 5 - 3 + 2*f**2 + 7*f - 3. Let j(u) = -5*o(u) - 8*v(u). What is the second derivative of j(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9971528 and 11312?\nAnswer: 19943056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*b - 73*b = 9630. Which is smaller: -534 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 2*s - 5. Calculate t(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(31\/(930\/20)))\/(6\/(-1312)*-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 377 - 93*k + 35*k - 379 as q*k + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 4*z + 5*d, 74*d = 6*z + 77*d - 78 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -5 - 6 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (-1 - 26 - (-84 - -67))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -22. Let m(g) = g**3 - 5*g**2 - 11*g + 10. Is m(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 186, 371, 556?\n\"Answer: 185*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u + 0*u**5 + 173\/120*u**6 + 0 + 0*u**3 - 59\/24*u**4 + 16*u**2. Find the second derivative of h(m) wrt m.\nAnswer: 1038*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 78115.17 years?\nAnswer: 781.1517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/22 and (-37)\/(703\/1748)*(-10)\/96.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j - 73 = 5*m, 4*j = 4*m + 100. What is the highest common divisor of j and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3 - (-2 - 1). Suppose 5*m + t + 5 = 0. Find the common denominator of -115\/6 and ((-3)\/m)\/((-120)\/(-124)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5311*s**4 + s**3 + 3*s**2 - 1039*s - 41 wrt s.\nAnswer: -63732*s**2 + 6*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*s + 552 = 19*s + s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8416*l - 330 = -8438*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/46053133 and -65\/21?\nAnswer: 138159399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21925 divided by 13630.\nAnswer: 4385\/2726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1322 + -663. Let v be (-3 + -17)*(f + -9). Round v to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940469 is divided by 142?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 27*g - 42.\nAnswer: -3*(g + 2)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + 36 + 47 - (-2 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - 0 - (16 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.37492 + -0.18268. What is p rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = 436 - 556 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**4 + 11 + 24*g**4 - 10*g**4 - 12*g**4 with respect to g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*c + 1758 = 0, 5*c + 5330 = 2*r + r. Let i = r + -270808\/153. Are i and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, q: 5}. Give prob of sequence qqz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.845047l to millilitres.\nAnswer: 7845.047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-24)\/t)\/t*t))**(1\/30))**(31\/3) assuming t is positive.\nAnswer: t**(403\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*z + 4*p + 24 = 0, -131*z = -2*p - 540 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -7. Let x = -7 - m. Let d = -12.9 - x. Round d to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/60 + 5*m**3\/6 + 2*m**2. Let q be w(0). Let c be (-88)\/(-20) - (-2)\/(-5). Solve c = q*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273115321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 174400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15450?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*u**3 - 12*u**3 + 7*u**2 + 2*u**2 - 11*u**2 to the form l*u**3 + s*u + o + w*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084*l**2 + 3*l - 3*l - 1082*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 15*p - 1. Calculate o(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 2*z)*(18*z - 5*z - 7*z)*(z**2 - 3 + 3) as w*z + f*z**3 + g + s*z**2 + n*z**4 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19508*a**3 + 1826*a**2 + 2*a - 703422873.\nAnswer: 58524*a**2 + 3652*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 6*y**2 - 14 + 7 + 5 as s*y + b*y**2 + i and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 52 = -7*i. Is 13 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadah. Give prob of picking 1 a and 1 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j**2 + 21*j + 42. Is c(-7) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, 2\/5, 1\/3, 4, -6, -3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4906 + -4902. Let m(s) be the second derivative of 7\/3*s**4 + y*s**2 + 19*s + 6*s**3 + 0. Factor m(n).\nAnswer: 4*(n + 1)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 774 and ((-155)\/(-35) + -3)*(-490)\/(-175)?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 13\/4 (c) -0.5 (d) 0.3 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -999724, -3998968, -8997710, -15995950?\nAnswer: -24993688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**5 - 7*z**4 - 4879*z**3 + 72*z**2 + 1199*z?\nAnswer: -60*z**2 - 168*z - 29274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**3 + 18*n - 18*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25 = 15. Let z be (s + (-21)\/6)*(-80)\/30. Sort 2, -3, 0, z in decreasing order.\nAnswer: z, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(363))**2 + (sqrt(432)*6)**2 + (4 + -2 + (sqrt(3) + 1 + sqrt(3))*3)**2)*3.\nAnswer: 180*sqrt(3) + 51411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = s - 5, 0*s - 2*j - 20 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -6 - -3 - 19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/1 - 1)\/(-1 - 0). Suppose x*d = 17 - 7. Solve -2 - d = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12553.\nAnswer: 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 69530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136416, 136409, 136398, 136383, 136364, 136341?\nAnswer: 136314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105005 + 2?\nAnswer: 105010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 155222823193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2989 is divided by 735.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/728 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -30*(6 - 3)\/(-9). Sort g, 4, 2 in decreasing order.\nAnswer: g, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000627 to 5 decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -202333 + -1776?\nAnswer: -204331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) - 4*sqrt(64))\/(sqrt(8) - (sqrt(72) - (sqrt(72) + sqrt(72)*4))).\nAnswer: -6*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 z when three letters picked without replacement from {i: 2, r: 1, z: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:50 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1457 or 1?\nAnswer: 4\/1457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7983 is divided by 341?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-38)\/(-12) + -4). Let n(i) = 2*i**3 + 12*i**2 + 24*i + 11. Let y(h) = 2*h**3 + 12*h**2 + 24*h + 10. Let j(o) = g*n(o) - 5*y(o). Factor j(b).\nAnswer: 2*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 618 + -599. Solve b*z = 13*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25475 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.9 (b) 6 (c) -3\/7 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058847 times -1?\nAnswer: 0.058847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -505970 to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 - (-7 + 1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-22)\/(-3))\/((-38)\/(-399)) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-3 + 2)*20. Let s = r + -12. Suppose -s*a + 884 = -4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 5*y)*(-3*y + 4*y - 3*y) + (21*y - 25 + 25)*(2 + 2 - 2)*(2*y - 3*y - 2*y).\nAnswer: -124*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -482*w**3 + 1257*w**2 wrt w?\nAnswer: -2892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 716188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/27*387783\/15668.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - m + (5*m - 41 + 20 + 19)*(0 + 1 - 3).\nAnswer: -11*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (-63 - -18) - (-1 + -2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 478039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7430 = -5*c - 2*v, 14*c - 19*c + 5*v + 7465 = 0. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 24. Let o(k) = 2*k**2 + 7*k - 7. Let d be o(-5). Let z be u(d). Let x(y) = -6*y - 7*y**2 + z + 5*y**2 + y**2. Calculate x(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 6*b**2 - 2*b. Let f be s(-4). Suppose -q - q + f = 0. What is the remainder when 59 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 76. Let m = f + 59.5. Let p(y) = -2*y - 5. Let g be p(5). Which is the second smallest value? (a) g (b) 2 (c) m (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -658 - -941. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*o - 4*b, -2*o - b - 5 = -o. Suppose 3*v = -u - 3, 5*u - 4*v = -3*v + 1. Let m be (u - 0)\/1*o. Solve -4*t - 6 = z + 6, m = 4*z + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + -3 + 3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7 + 0.10187.\nAnswer: -1.59813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 219974*w + 209557*w + 1.\nAnswer: 429531*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, -48, 1, -5, -295, -1, -3 in descending order.\nAnswer: 250, 1, -1, -3, -5, -48, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:31 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.062 - 1.938. What is the second biggest value in 0.3, -3, o, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298796.8 + -35.78?\nAnswer: 298761.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 946706 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - -59. Let m be (-8)\/32*0 + q\/1. Calculate the highest common divisor of 117 and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -486. Let r = t + 462. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2876045.\nAnswer: 5, 53, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:47 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32eb (base 15) to base 9.\nAnswer: -15725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827066 to the power of 1\/2, to the nearest integer?\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -51*n**2 + 31*n + 96. Let w be v(-3). Let t = w + 483. Calculate the greatest common factor of t and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siei. Give prob of sequence esi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676624 is divided by 338311.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 - 42?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3))**(-2\/5)*(u*(u\/((u\/(((u\/(u**2\/u)*u)\/u*u)\/u))\/u))\/u*u)\/(u**(-6)\/u))**(7\/8) assuming u is positive.\nAnswer: u**(973\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:20 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74434.17 millilitres in litres?\nAnswer: 74.43417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/834 or -1?\nAnswer: 1\/834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 4) to base 13\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -22 (c) 2\/9 (d) -0.091\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 - -6. Which is the nearest to u? (a) -1\/5 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + h + 1, -4*d + 32 = -4*h. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from sssssssssjjjjsssjs.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1088 and 144?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 - -0.5. Let y = -2.4 - j. Let n = 76\/3 - 994\/39. Which is the third smallest value? (a) -5\/3 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.29 - 0.49. Let f be ((-24)\/(-1608))\/(2\/12). Let p = f - 164\/335. Sort 1\/4, p, s in descending order.\nAnswer: 1\/4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2963*f - 6458*f + 3494*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.958*2.9\nAnswer: -5.6782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 15*x - 23. Suppose -155 = -13*b + 14. Let m be v(b). Let r = -1.1 - -0.1. Sort r, m, 6.\nAnswer: r, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 5*u + 31, 7*a = 2*a - 3*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 - (15 - 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 4:42 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 882, 1342, 1804, 2268?\n\"Answer: c**2 + 457*c + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*3*sqrt(21))\/sqrt(7) + (sqrt(3) - (1 + sqrt(3)*1)) + 4).\nAnswer: -27*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3336 + 4004. What are the prime factors of g?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 0. Let f = -3.2 + 0.2. Let m = 2 + f. What is the closest to m in 1\/4, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 388735*s + 60374050.\nAnswer: -5*(s - 77902)*(s + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94179 or -94180?\nAnswer: -94179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/6252772 and -1\/10.\nAnswer: 31263860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10 - -1*(-18)\/52\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018872 rounded to seven dps?\nAnswer: 0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300692675 divided by 5?\nAnswer: -460138535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*j - 14. Let b be ((-1)\/(0 - j))\/(3\/(-12)). Solve -x - 3*u = -4 - 1, -b*u = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.551 + 272.759. Let g = -0.61 + d. Let r = g - 306. Round r to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14760 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0 + 0 + (2 + 2 - 3)*(0 + 0 + z))*(-2*z**2 + 2*z - 2*z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*z = -311*z + v + 25, -4*z - 5 = 5*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/78 or -64?\nAnswer: -5\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1100) + -1)**2 - (-3 + sqrt(1100))*-1) + -6*-4*(sqrt(1100)*-2*-5 + sqrt(1100)).\nAnswer: 2570*sqrt(11) + 17598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -53. Sort r, -3, -0.4, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 5*w + 6. Let q be x(-5). Let b be (1\/(-6))\/((-9)\/54). Let f be 2*b*(-35)\/(-14). Solve -q*l + l + f = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(102))\/(sqrt(66)\/(4*sqrt(11))).\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6318491 - 4653509. What is o rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*c = -2*q + 16, -2*q + c = -19. Solve 0 = -q*i + 8*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -17. Let y be 48\/(-21) + 0 + 2. Which is the smallest value? (a) m (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1426\nAnswer: -1\/1426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987607?\nAnswer: 1039, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/18)\/(-1))\/((845\/52)\/65).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 46 + 181 = -5*p, -2*n + 3*p + 113 = 0. Let q(b) = 21*b + 3. Let v be q(4). What is the greatest common factor of v and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 12*w**2 + 11*w + 7. Let m be l(11). Suppose -2*r = -m*r + 20. Suppose 3*k + 12 = 2*k - r*p, 4*k = -p + 12. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**3\/6 - 5*k**2\/2 + k. Let l be a(-7). Differentiate -1 + 0*d**2 - 2*d**l - 1 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 4020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -2487.\nAnswer: 1243.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.01 (c) -22 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 166, 688, 1524, 2650, 4042?\n\"Answer: -4*u**3 + 181*u**2 + 7*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4990, 9975, 14958, 19939, 24918, 29895?\nAnswer: 34870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**33\/v*v*v*v)*v\/(v\/v**(3\/8)))\/((v\/v**(-23))\/v)**(-4\/39) assuming v is positive.\nAnswer: v**(-9443\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.6 to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*o**2)*(5 - 8 - 43) - o**2 - o**2 + 3*o**2 + (0 + 0 + 2*o)*(-1 + 1 + o) + 16*o**2 + 13*o**2 - 26*o**2 as c*o**2 + m*o + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -k + 2*s, -4*k + 13 = -259*s + 262*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = 89*m - 148*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 19*x**2 - 36*x + 240. What is y(16)?\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*b - 70, -2*y - 5*b = -85 + 15. What is the third derivative of -15*o**3 + 44*o**4 + 14*o**3 + 0*o**2 + 7*o**2 - y*o**4 wrt o?\nAnswer: 216*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 21*c**3 + 8*c**2 + 7*c + 2. Determine i(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - -321. Let d = 518 - j. What is the highest common divisor of 243 and d?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2027689560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32220014 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 m, and 1 b when four letters picked without replacement from wmffpwbmhhwwwmw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -22\/25, -1\/2, -19?\nAnswer: -22\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125*g**3 + 1131*g**3 - 2*g**2 - 4524*g**3 + 1134*g**3 + 1130*g**3.\nAnswer: -4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3 + 48*h**2 + 135*h - 486 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5 + 42*p**4 + 403*p**3 - 894*p**2 - 4904*p - 3648 = 0.\nAnswer: -24, -19, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/(-450) - (-6)\/(-15))\/((-4)\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - -93 - -72 - -10?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143*q**3*z - 1330*q - 4973099*z with respect to q.\nAnswer: 429*q**2*z - 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5824*g**4 + 22*g**2 + 168805.\nAnswer: 23296*g**3 + 44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -909, -3012, -7093, -13812, -23829, -37804, -56397?\nAnswer: -80268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-252)\/(-1260)*(3 + (0 - 1)). Which is the closest to -15? (a) u (b) 0.1 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -132?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18608 = 56242. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**3\/4 + 219*b**2\/8 + 900*b - 8838. Factor w(j).\nAnswer: 3*(j + 25)*(j + 48)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48148462.\nAnswer: 2, 239, 263, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -0.5. Let l = t + -0.5. Let r = l - 0.53. What is the third biggest value in r, -1\/7, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 9 = -4*u, 49*u - 5*v = 48*u + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(10*r + 11*r - 6*r) + r + 4 - 4.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:59 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -5.3?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612023938657 minus -0.04?\nAnswer: 4612023938657.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121289.64 plus -0.12154714?\nAnswer: -121289.76154714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4, -4*n = -2*g - 9 - 11. Let a = n + -3. Let w = 6 - a. Solve -i = -w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l - 53*l + v = -2, 3*v + 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**4 - 53*a**2*o**2 - a**2 - 47*o**2 wrt a?\nAnswer: -4*a**3 - 106*a*o**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = -118 + 158 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let k(l) = 5*l**2 + 7*l - 7. Let m(g) = g**2 + g - 1. Let f(a) = -4*k(a) + 28*m(a). What is h(f(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363.6 + 364. Which is the closest to 1? (a) s (b) 0.1 (c) 20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11721585 to the nearest integer?\nAnswer: 3424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*i**2*w + 6*a*i**2 - 193*a*i + 96*a - 3*i**2*w + 584*i**2 - 7*w wrt i?\nAnswer: 6*a*w + 12*a - 6*w + 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*w**3 + 13*w**3 - 12*w**3)*(-w + 4*w - 2*w) as k*w**4 + h*w**3 + p*w**2 + y*w + d and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8290*p**2 - 2 + 119804*p - 59903*p - 59900*p as h + y*p**2 + w*p and give y.\nAnswer: 8290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**5\/40 - 33*b**4\/32 + 621*b**3\/4 - 19683*b**2\/4 + 63423*b + 5971. Find v, given that r(v) = 0.\nAnswer: -87, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10195 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.01 (b) 0.1 (c) 0.3 (d) 2\/19 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 - -4))*(18 - 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -802.99997284 + 803. Round h to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j + 28*j - 40*j. Let g(w) be the first derivative of -3*w**2 + 1. Determine g(n(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/30 - -22\/15. Which is the closest to 0.1? (a) 0.3 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*b - 3042 = -0*w, 4*w = b + 4039. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*g + 2, -4*j + 2*j = 2*g - 22. Let -5*k - j + k**3 + 15 + 5 - 2*k**2 = 0. Calculate k.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.82*-3.\nAnswer: -35.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/7 and 1*(-186)\/60 + (1 - 0).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 25*k + 4. What is f(20)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326 + 89. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.221 - -1.621. Let s = 6 + -5.6. Let k = s + a. What is k rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-208))\/((-42)\/((-13440)\/400))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*2*-1 - (2 + sqrt(40)\/sqrt(5)).\nAnswer: -20*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + -5*-2*sqrt(5324) + 5 + -2*sqrt(5324))*-1*-6)**2.\nAnswer: 152064*sqrt(11) + 49067280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g**3 + 4208*g - 4208*g.\nAnswer: -45*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 373\/6, 0, 1, -0.06 in increasing order.\nAnswer: -0.06, 0, 1, 373\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*w = 330*w + 902*w - 10544 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*s + 3*s + 4 + (3 - 1 - 3)*(-2*s - 2*s + 5*s) - s + 3*s - 4*s + s - 2*s + 8*s.\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 divided by 3.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**6\/120 - r**5\/15 + r**4\/4 + 4*r**3\/3 - 14*r**2 - r + 259. Let s(q) be the second derivative of i(q). Give s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88001*o**5 - 3*o**4 - 18*o**3 + 22*o**2 - 1037665*o wrt o.\nAnswer: 5280060*o**2 - 72*o - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -739 or -11072\/15?\nAnswer: -11072\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + 12*r - 19. Let o = 43 - 51. Let u(a) = 5*a**2 - 18*a + 29. Let n(t) = o*f(t) - 5*u(t). What is n(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -951.\nAnswer: -951, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5296 is divided by 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 2*v**2 - v**3 + 4*v + 15 - 11. Let r be b(-4). Suppose 3*q + d - 10 = 2*d, -d = r*q - 11. Solve -q*z - 3 - 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 361 or 362?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, m: 1, u: 1}. Give prob of picking 3 e and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by -3*(-472)\/42 - (-4)\/14?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653727 is divided by 13555.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - (-9)\/(-2))\/(1\/(-10)). Suppose 0 = 2*n - 30 - 16. What is the remainder when n is divided by (63\/14)\/((t\/(-6))\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17054624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 2)*(4*k - 2*k - 20*k) as i + n*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) -2 (b) 6\/17 (c) -3\/4 (d) -5 (e) 0.1 (f) -0.0934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 839480 and 620?\nAnswer: 839480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3550 - -3551. Solve 6*a + u = 7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + (-6 - -10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1 - 5 + 0 + 2*z. Suppose -t = -2 - 4. Is m(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2457737*i**3 - 15753055.\nAnswer: 7373211*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41498 (base 11) to base 7\nAnswer: 341226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d - 4*d**3 + 3*d**3 - 5*d as r + m*d + y*d**3 + v*d**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 17, 2, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 123508482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 375*v - 8 = 6*j + 377*v, 0 = 9*j - v + 23 - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1007435?\nAnswer: 1\/1007435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -874, -730, -488, -148, 290?\n\"Answer: 49*n**2 - 3*n - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*f**3 + 551*f**2\/8 - 931*f\/4 + 213 = 0. What is f?\nAnswer: 71\/48, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d. Let f(r) = r**3 - 7*r**2 + r - 2. Let o be f(7). Suppose o*n = -d*n + 30. Calculate the highest common divisor of n and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.7 minus 2.42207021283?\nAnswer: -16.12207021283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -11*d + 64. Suppose -28*y + 8 = -d*y. What are the prime factors of (-54)\/4*(2 - y)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3809.644 millennia to years.\nAnswer: 3809644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a factor of 1384871488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -794417*x**3 + 173*x**2 - 801*x wrt x.\nAnswer: -4766502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(8\/((-32)\/(-6)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 - 67*m**2 + 55*m - 236. What is the remainder when t(22) is divided by 188?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**2\/4 + 667529*f\/4 + 95361\/2.\nAnswer: (f + 95361)*(7*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*s**5 + 2*s**3 + 327*s**2 wrt s?\nAnswer: 4620*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/((-10)\/15). Let d be 1226\/33 + z + -2. Let t = -262\/11 + d. Calculate the common denominator of t and -149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200212 - 0?\nAnswer: -200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*w + 8, 3*w - 76 = 5*v. What is the biggest value in v, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2590*g**2. Let s(l) = 37*l**2. Determine v(s(r)).\nAnswer: -3545710*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -1.1. Let s = -0.9999998 - n. What is s rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44251 is divided by 11059.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7964*w**2 - 1. Let x(j) = -j. Calculate x(p(u)).\nAnswer: -7964*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30481573.\nAnswer: 41, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + a = 1, 4*a - 7 = -3. Let n = 1353\/388 - 23\/97. Are n and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20 and -71\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and (-11)\/(132\/(-126))*(-168)\/(-63).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -7, 7, 37, 89, 169, 283?\n\"Answer: l**3 - l**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-21))\/(1\/12*4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 611, -0.5, 98, 0.2?\nAnswer: 611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544789.\nAnswer: 1544789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/135 - -298\/945. Let z = -18146.97 + 18147. What is the closest to u in -0.1, 4, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(2\/3))))\/(b\/(b\/b**0))*b**9\/((b**(-3)*b)\/b))**(1\/28) assuming b is positive.\nAnswer: b**(41\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2341*z + 1171*z + 1175*z - 26*z**2 as h*z + k + s*z**2 and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l - 6*l. Is 0.092 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 12*h + 1 - 4*h + 16*h. Let c be (-3 - -2)\/((-1)\/(-1)). Calculate the remainder when w(c) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2470*v**2 + 2075*v**2 + 14 - 13 to t*v + w + i*v**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 77863, 310727, 698833, 1242181, 1940771, 2794603?\n\"Answer: 77621*z**2 + z + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.73 + 0.73. Does -0.01 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 6*y**2 - 7*y + 2. Let z be s(-5). Let g(u) = z + 13 - 3*u + 2*u - 26. Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = -3*p + 56, 5621*h + 4*p = 5620*h + 105 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11388627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -31, -53, -65, -55?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3116695929.\nAnswer: 3, 16937, 61339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 4 + 6 - 2*c + c + c**3 in the form l*c + i*c**3 + x*c**2 + p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.29 - -2.39. What is the closest to -5\/7 in v, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 77 = 2*k. Let x(f) = -17*f + 133. Let b be x(k). Solve -3*t = 2*n + 7, 7*t - 5*n = 4*t - b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*k - 56, 0 = 3*s - k - 25 - 25. Suppose 5*u + 43 - s = 3*w, 0 = -3*w + 2*u + 23. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 35*q. Solve -r + 10 = -5*r + h, q = 5*r + 5*h + 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 2*d**2 - d**2)*(-81*d + 6113 - 6113).\nAnswer: 162*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 30?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 - -155) + 15 + -34 - 58.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 3 (c) 1\/13 (d) 5 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371176.\nAnswer: 2, 13, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let u(f) be the second derivative of 0 + 1\/8*f**4 - 10*f - 17*f**2 + 0*f**3. Let y(n) be the first derivative of u(n). Calculate k(y(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*i + 35 = 29, 1 = a - 2*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (2 - -24 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31205*a**3 - 112025160*a**2 + 2836095*a - 17950.\nAnswer: -5*(a + 3590)*(79*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141858)\/(-111)*17\/(-612)*2.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwks when four letters picked without replacement from nkkwwnkwgsgk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 180*m**2 - 1692*m + 1350. Determine d(-170).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 8. Suppose -3*z - 3*v = 9, z - v - 5 = w*z. List the prime factors of (144\/(-20))\/(z\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**10\/10080 + h**9\/2520 + h**8\/2240 - h**4\/24 - 2*h**2. Let v(l) be the second derivative of y(l). Factor v(w).\nAnswer: 3*w**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*k + 16, k = -4*t + 14 - 22 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 3*r + 26*r**3 + 3*r + 5*r - 11*r**3 as y*r + l*r**3 + u*r**2 + g and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 0.3. Which is the closest to u? (a) -0.4 (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 88 = -16*p, -25933*p + 41 = 4*n - 25928*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 125396*u + 250784. Calculate p(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284\/(-214)*((-8)\/14)\/((-6)\/14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a**2 + 2*a + 9. Let m be f(-6). Suppose 1699 = 8*x - m. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y + 3 + 21*y - 24*y)*(-y + 3*y - 5*y).\nAnswer: -48*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3648 - 2278. List the prime factors of f.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 805 divided by 161\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2338.\nAnswer: 2\/1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530 divided by 765.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*y + 18 = 0. What are the prime factors of 52 + (4 - 2) + y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86 - -17?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(12\/11)*j*j)\/j)\/(j\/(j**(6\/25)*j*j)))\/(j**(-25)\/(j*j*j**(-27))) assuming j is positive.\nAnswer: j**(1191\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 83*q + 85*q = -36, -5*z - 3*q = 45 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + (-6)\/15. Let c be 3 + o + 24\/(-8). Let p be 1\/(-6)*(c + -2). Sort p, -0.3, 4.\nAnswer: -0.3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, 6 in increasing order.\nAnswer: -3, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 205156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 33*i + 91. Give v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (29\/58)\/(10\/(-12))*-15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*p + 2990 = 0, 5*d - 3433 + 443 = p. Let q be d\/22 + 2\/(-11). Let o = q + -12. What is the greatest common divisor of o and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:07 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/5 - 3389*s**2\/5 + 2876407*s\/5 - 8598747\/5 = 0.\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 123. Solve f - 8 = -x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s + 53 = -2*g - 18*s - 27*s, g + 7*s - 20 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(sqrt(30)\/(sqrt(6)*-2))*1.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 - 101*y + 488. Let c be s(7). Which is smaller: -138 or c?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 669*i - 13167. What is r(20)?\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 54.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilogram in grams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((19 + 6 - 9)*(17*a - 16*a - 21*a) - 2*a + 0 + 0)*(2*a - a + 2 - 3).\nAnswer: -322*a**2 + 322*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 6}. What is prob of sequence dttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 2178?\nAnswer: 34848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = -48*v - 220 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l + 3*l)*(1 + 0 + 1)*(5 - 1 - 22).\nAnswer: -180*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 97. Let f = 26.7 - 26.852. Let o = f - -0.152. Is q less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41050183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -321431 (base 8) in base 7?\nAnswer: -624540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/27 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -15*f - 28. What is the nearest to -2 in -16, -4\/9, f?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 - 3*k - 3. Let m = 5 - 2. Does 12 divide y(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -17, 16, -2, 8, 75.\nAnswer: -17, -2, 2, 5, 8, 16, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367736 and 3207.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 78*k**3 - 759*k**2 - 3276*k - 5292 = 0 for k.\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7684 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -13. Let u(c) = -c**2 - 3*c. Let w(t) = -4*t**2 - 11*t. Let l(b) = q*w(b) - 22*u(b). Let j(n) = 11*n. What is l(j(x))?\nAnswer: -242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - a0?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48639?\nAnswer: 3, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183.93 - -183. Let w = -0.07 + h. Let x = w - -0.6. What is the smallest value in 1, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13426 or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1 + 4. Suppose -b - 11 = -2*r. Suppose 5*v - 4*v + 88 = 4*d, 5*v = 0. Calculate the remainder when d is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601280338.\nAnswer: 2, 300640169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.5908 months to decades.\nAnswer: 2.27159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -5*y**7\/42 + 13*y**3\/6 - 18*y. Find the second derivative of w(d) wrt d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*j - 43*j - 38*j - 49*j + 200*j as n*j + x and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 + d - d - 14*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -be74a (base 15) to base 6.\nAnswer: -20552254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/4 (b) 1\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18412552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 696, 908?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*h - 76 + 56 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 12*n - 66, -4*a = 3146338*n - 3146335*n + 23 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 35 - 16 = 5*l, -2*d + 2*l = 30. Find the common denominator of (30\/175)\/(d\/(-644)) and 11\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/9)*b*b\/(((b\/(b\/b**(-18)))\/b)\/b)*(b\/b**(-4\/7))\/(b**(2\/19)*b) assuming b is positive.\nAnswer: b**(27557\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccxxcxxxxcc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (47\/4)\/(5\/80). Suppose -j - 2 = -1, k = h - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 2*h + 7. Let f be q(-6). Let m = -44 - -154. Let r = m + f. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -561, -1520, -4125, -9198, -17561?\n\"Answer: -137*j**3 - j**2 + 3*j - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3852.411 - -3858. Let f = w + -0.589. What is the closest to 0 in f, -0.14, -0.2, -3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017340?\nAnswer: 2, 5, 50867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 371 - 368.87. Let d = -2.33 + x. Which is smaller: 6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 7*p + 56. Calculate y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1\/n**0*(n*n**6)\/(n*n**(-2\/5)*n) assuming n is positive.\nAnswer: n**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 7*y**2 - 534*y - 5439. Determine q(-11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**0\/z)*z)\/(z\/z**5))\/(z**0\/z)**(-37) assuming z is positive.\nAnswer: z**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**4 - 24*k**3 - 144*k**2 + 1536*k - 3072 = 0?\nAnswer: -8, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2.86891.\nAnswer: -0.86891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24051 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477881812?\nAnswer: 2, 197, 606449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-21)\/42 + (-272)\/(-27).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2\/2 + (-60)\/(-10). Solve -2*s + 4 = -k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -625 + 7505\/12. Let b(q) be the second derivative of 5*q + 0 + 0*q**2 + p*q**4 + 0*q**3. Let c(d) = -d**2. Calculate b(c(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + 3*k + 1. Let h(y) = -4*y**4 + 22*y**3 - 54*y**2 + 54*y + 6. Let b(m) = h(m) - 6*p(m). Factor b(z).\nAnswer: -4*z*(z - 3)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6 + 2\/4. Let d be (2 - 21\/14)*(1 + -1). Solve -n + h*n = 2*i - 4, d = -n + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1 - sqrt(192)*1)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 6*u + 180. Solve -u*x + 20 = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.08 - -0.08. Let i = 23.665 - 0.065. Let r = i - 24. Put r, t, -1 in descending order.\nAnswer: r, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41834 + -41824. Suppose -v = -2*y + 1, 0 = -9*y + 4*y + v + 10. Calculate the remainder when c is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n + n**3 + 17 - 7*n**2 + 6*n**2 - 5*n + 19*n + 42. Is b(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53856.222 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -12, 4\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17752807781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:16 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 23, 61, 111, 173?\n\"Answer: 6*i**2 + 8*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 + y. Let w be b(-1). Suppose 0 = 2*q + 4, -34 = -3*c - 0*q + 5*q. Let x = c + w. Solve 4*l = 2*f, x*f + 2*f + 18 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.485 - -0.4582. Let i = l - -147.5268. Round i to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(125))**2 + sqrt(15)\/(-1*sqrt(3)).\nAnswer: -31*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - -80. Let n = 6 + y. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/1434510 and -19\/38709.\nAnswer: 24386670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16027, 16033, 16045, 16063, 16087, 16117?\n\"Answer: 3*r**2 - 3*r + 16027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2195 divided by -2195?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 13233264*w - 10944954755856.\nAnswer: -4*(w + 1654158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/616 and (285\/(-144) - -2)\/(14\/4074)?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03215206 or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, f: 2, b: 6, p: 4}. Give prob of sequence dpf.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/6)\/(11*18\/(-792))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14551, 29121, 43687, 58249, 72807, 87361?\nAnswer: 101911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j. Let c(w) be the third derivative of -3*w**4\/4 - w**3\/2 - 2*w**2 - 240. Give c(d(b)).\nAnswer: 54*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g + 2. Let u(j) = 5*j - 2. Suppose 325*q - 324*q - 2 = 0. Calculate q*y(p) + 3*u(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**3 + c**2 - 4*c + 6. Let m be f(3). Let i = m + 191. Calculate the smallest common multiple of i and 118.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = 893. Let i = 691 + x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 4, r: 7}. What is prob of sequence rncn?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -158, -420, -786, -1256?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 8*k**2 + 182*k + 980.\nAnswer: -2*(k - 10)*(k + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 6, -j - 5 - 1 = 5*n. Let z(b) = -4*b - 24. Let r be z(-6). Solve r = -j*w - w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*x**3 + 2)*(6 + 4 + 1)*(-6*x - 2*x - 16*x).\nAnswer: 792*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/270 and -115\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35\/10*4\/56\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 5. Suppose 3*g + 3 = -3*s, 5*g - 2*s = 1 + 1. Let n be r(g). Sort 3, n, -7, 2 in descending order.\nAnswer: n, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 greater than or equal to 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8088163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4932200.7 days in weeks?\nAnswer: 704600.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1181606, -2363205, -3544804, -4726403, -5908002?\n\"Answer: -1181599*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 389955025050.000000841 - 389955024734. Let k = -316 + q. Round k to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r - 126 - 3330. What is the highest common divisor of 336 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*t - 5378, 5*t - 8709 + 1999 = -5*g. Calculate the remainder when g is divided by 447.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 + 3*p - 4. Let z(u) = -2*u - 100*u**2 + 299*u**2 - u**3 - 98*u**2 - 101*u**2 + 3. Determine -4*f(i) - 6*z(i).\nAnswer: 2*i**3 + 4*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 130, 52, -26, -104, -182?\n\"Answer: -78*m + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*i - 4*w, 4*i - 24*w - 32 = -27*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.51676 - 0.1801?\nAnswer: -1.69686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**2 + 34*x - 58*x + 29*x.\nAnswer: -24*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4014 and 1049634.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 25*x**5 - 2*x + (-3*x + 3*x + x**2)*(-2*x**3 + 4*x**3 + 0*x**3) - x**5 + 1 - 1.\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (2 - 3 - (-12 + 3 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1642.\nAnswer: 11494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1214*i**3*j + 2*i**3 - 10444*i**2 - i*j - 9*i - 1083*j + 56 wrt j?\nAnswer: -1214*i**3 - i - 1083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(208) - sqrt(208)*2*2).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 0 + 0 + (1 - 1 - 2)*(-3*d**2 + 0*d**2 + d**2) + 31798*d**2 - 63600*d**2 - 18*d + 1 + 31798*d**2 as f*d**2 + p + u*d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**3 + 3*d**2 - 3*d - 3. Let n(x) = -14*x**3 + 8*x**2 - 8*x - 8. Suppose 0 = -2*v + 2*l + 2*l + 2, 0 = 4*v + 3*l + 18. Give v*n(q) + 8*w(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 137 = -2*c, -3*c - c + w = 265. Let g = c + 460\/7. Suppose -5*l - 4 = 1. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 28*j - 7. Let d(n) = 42*n - 11. Let w(y) = -5*d(y) + 8*o(y). Suppose -4*l - l + 15 = 0. What is the remainder when w(l) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 8, 0, -24, -70, -144, -252, -400?\n\"Answer: -i**3 + i**2 + 6*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*q + 39*q. Let i(r) be the first derivative of 0*r**5 + q*r + 0*r**4 + 2 + 1\/2*r**6 + 0*r**2 + 1\/3*r**3. Find the third derivative of i(n) wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -15\/2, -5, 3\/13, 3, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2\/3*o**3 - 2\/15*o**2 + 2\/15*o**4 - 2\/15*o**5 - 8\/15 - 16\/15*o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 12*o**2 - 22*o - 10. Give g(-14).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73.4 and -5.\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/9 + 754*h**4\/9 + 40046*h**3\/9 - 754*h**2 - 40064*h = 0.\nAnswer: -313, -64, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 331013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (469\/(-7035))\/(3 + 6\/(-4)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -2\/9, 10\/9, -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14743 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 + 13*l**3 + 9*l**3 - 4*l - l**3 + 2*l + 5*l + 3*l**3 - 6*l**3 + 4*l**3 + (0*l + l**2 + 0*l)*(l - 1 + 1) + 0*l**3 - 4*l**3 + l**3.\nAnswer: 25*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -579 + 625. Let m be (0 + (21\/(-6))\/(-7))*s. Solve -m*j = -22*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 4 + 6*f**2 - 6*f - 9. Let h(c) = 4*c**2 - 13*c - 11. Suppose -4*d - 31 - 5 = 0. Let y be ((-2)\/(-5))\/((-1)\/(-10)). What is d*s(u) + y*h(u)?\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 829*n - 42891. Determine x(-56).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559022814?\nAnswer: 2, 3, 7, 31, 167, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3 + 384*q**2 + 3820*q - 4200 = 0 for q.\nAnswer: -10, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.5516 millilitres to litres.\nAnswer: 0.1765516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**6)\/(((c**(-2)*c)\/c)\/c))\/(c*c**1)**(5\/6) assuming c is positive.\nAnswer: c**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + p - 2*p)*(-4*p - 3*p + 3*p) to o + t*p + l*p**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1281 and 46116.\nAnswer: 46116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 2, q: 4, r: 1, x: 2}. What is prob of picking 1 g and 2 x?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 22044 = -2*a + 39468, 4*t - 153801 = -5*a. What are the prime factors of a?\nAnswer: 3, 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4338922682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**10\/302400 + l**8\/13440 + l**7\/5040 + l**5\/4 + 25*l**2. Let v(n) be the third derivative of j(n). Factor v(w).\nAnswer: -w*(w - 2)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 17) + (15 - 8) + 0 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + 2 + -34 - (2 - 8)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46.309 decades?\nAnswer: 4.6309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-77))\/((-10)\/7 + (-36)\/63). Let x = -6 + 8. Solve 0 + a*f + 0*f**x + 1\/2*f**4 + 1\/2*f**3 = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416632 and 2812?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 100*x**2 - 2278*x + 118. Calculate l(-65).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 19 - 12 - 2886*s)*(3 - 2 - 2).\nAnswer: 2886*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/54 - 2\/27. Let j = 13\/2 + -6. Factor 1\/2*f**3 + 0 + w*f**2 - j*f**4 - 1\/2*f.\nAnswer: -f*(f - 1)**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 4*q + 18, 3*i - 4*q - 7 = -3*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2630 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5895745 - 16038730 = -204*l - 15*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 + 3\/3 + 1 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5681\/120 - 143\/3. Let z be 252\/48 + -6 - 214\/(-20). Let u = z + v. What is the common denominator of -77\/4 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16405 divided by 16405?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 974183 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7136*o + 7131*o = 3*j - 56, -2*j = 3*o - 34. Suppose -2\/7*t**5 + 0 - 6\/7*t**4 + 48\/7*t**3 - 8*t**j + 0*t = 0. Calculate t.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27, -72, -117, -162?\n\"Answer: -45*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43384 by 68.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 128546, 257090, 385634, 514178, 642722?\n\"Answer: 128544*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -309? (a) -2 (b) -1\/8 (c) 2 (d) -10.45 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + -7 + (-46 - (-17 + -8)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 9. Let j = x - -5.1. Let g = -10 - -15. Sort j, g, 0.2 in decreasing order.\nAnswer: g, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*n + 3*n - 73, -2*y + 3*n = -42. Calculate the remainder when 235 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -639 - -639.0000042. Round p to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:38 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 448 + -1?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/s**(2\/3)*s**(-5)*s\/s**(-6)*(s**(-6)*s*(((s**(2\/9)*s)\/s)\/s)\/s*s)\/(s**(-1\/2)*s*s**(-4)) assuming s is positive.\nAnswer: s**(-89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {w: 2, r: 1, z: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231455 by -119.\nAnswer: -1945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 4626099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*g - 92*g - 57 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856503 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 - 3.5. Which is smaller: a or 42?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 140386*z - 140387*z = 3, 2*w - 8 = 2*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84149456*i + 84149435*i - 168298902*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 21*d - 50 = -23*d, -4*d = -4*m + 40 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/261 and 32\/27.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f + 6. Let n be w(0). Are 1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11707 - -11707. Sort -234, 4, 3, b, 1.\nAnswer: -234, b, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n - 88. Let c = n + 44. Calculate the lowest common multiple of c and ((-36)\/21 - 0)*-7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3685653 + 313306853\/85. Let q = -1544\/5 + w. Let l = q + -117\/85. What is the third smallest value in -2\/9, l, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 12*f + 8*f - 130. What is the fourth smallest value in -1.7, -1, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116992 is divided by 99?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-30)\/(-8))*12\/18. Let b = 2.9 + -3. Which is bigger: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 0, 1, -29 in descending order.\nAnswer: 1, 0, -3, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Let n = 0 + t. Is 0 + (6460\/5)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*g + 276 = 0, 32*o - 5*g - 1110 = 24*o. What is the remainder when o is divided by 121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at most -2869\/241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 + 3)) + (29 + 44 - -58).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10531324 - 5305?\nAnswer: -10541033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(16\/458)*70 + -3. Let i = w + -1849. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, e: 3}. What is prob of picking 1 e and 2 z?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272 and 12.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 + 0*c**2)*(2*c + 36*c + 9*c)*(120*c**2 - 103*c**2 - 86*c**2 + (3*c + c - 5*c)*(c + 3*c - 6*c)).\nAnswer: -3149*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 9 = -5*z, -3*s = -6*z + z - 37. Let j be (-2)\/3*66\/(-4). Factor -j*g + s*g + 3*g**2 + 10*g.\nAnswer: 3*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*b**3 - 140355*b + 70177*b + 70178*b.\nAnswer: -905*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4\/o**(1\/3)*o**(-2\/5)*(o**(2\/9)\/o*o)\/o*(o**7*o)\/((o**(-1)\/o*o)\/o)*(o*o*o*o\/o**(-1)*o)**(-50) assuming o is positive.\nAnswer: o**(-12938\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 52270.\nAnswer: 13\/52270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16296 - 104846 - 98560 = -991*j - 1088*j for j.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 + 0 + -13)*123\/(-9). Is a >= 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 - 2*c + 6. Let v be (-1)\/((-11)\/(-2)) - 8\/(-44). Let j be q(v). What is the greatest common factor of j and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**2 + 8*v - 8*v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1909 at least as big as -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 228196 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: Does -1355444 = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (4\/(-2) - 8). Let w be (-2)\/(8\/o) + 3. Do w and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1140)\/(-90) + -12)*3\/(-2). Put b, 3, -6, -567 in descending order.\nAnswer: 3, b, -6, -567","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/300 - h**4\/24 - h**3\/5 + 193*h**2. Let t(f) = 0. What is f?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -13. Let n be (-78)\/(-1*t\/(-12)). Suppose 5*x = 2*l - 38, -4*l + 0*x = 4*x - n. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 5:46 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -44. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 0. Let i be 2\/12 + (-9)\/v. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + -10 + 0 + 15 - (-41 - -3)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 3. Let m = -31 - -18. Let c = 15 + m. What is v(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356661366*t**3 - 62882833*t - 3.\nAnswer: -2139968196*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -5, 2, 31, -8, 12 in decreasing order.\nAnswer: 31, 12, 2, -5, -8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m**2 + 51*m - 7. Let n(t) = 8*t**2 + 52*t - 7. Let p(i) = 7*n(i) - 6*r(i). What is the remainder when 131 is divided by p(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 605691, 605690, 605689, 605688, 605687, 605686?\n\"Answer: -p + 605692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-1)\/4 - 20470\/(-40))\/(8\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Suppose -w - 5*s + 4 = l, 0 = w - 3*s - s - 31. Calculate the remainder when 37 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1255461, -1255543, -1255627, -1255713, -1255801, -1255891?\n\"Answer: -c**2 - 79*c - 1255381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2891 and 942053?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*f - 1591, -3*b + 4*f = -7*b + 6344. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -4*w**2 + 4*w - 4*w**3 + 3*w**3 - 2*w**3 + 2*w**3. Find the first derivative of u(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-226)\/(-72) - 11*(-16)\/(-88) and -29\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131032 and 309712.\nAnswer: 3406832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2195000 rounded to the nearest ten thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-10)*n)\/n)\/n*n*n**(-8)\/n*n*n*n*n)**(-1\/21) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/120 - b**5\/20 + b**4\/24 + b**3\/2 + b**2 + 14*b. Let o be s(-3). Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 11) in base 3?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + l - 3 - 14)*(-4 - 2 + 4).\nAnswer: -2*l + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**3\/7 + 8895*f**2\/7 + 264150*f\/7 = 0.\nAnswer: -2935, -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}